US3729876A - Structural component and structures comprising the same - Google Patents
Structural component and structures comprising the same Download PDFInfo
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- US3729876A US3729876A US00109169A US3729876DA US3729876A US 3729876 A US3729876 A US 3729876A US 00109169 A US00109169 A US 00109169A US 3729876D A US3729876D A US 3729876DA US 3729876 A US3729876 A US 3729876A
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Images
Classifications
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- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04B—GENERAL BUILDING CONSTRUCTIONS; WALLS, e.g. PARTITIONS; ROOFS; FLOORS; CEILINGS; INSULATION OR OTHER PROTECTION OF BUILDINGS
- E04B7/00—Roofs; Roof construction with regard to insulation
- E04B7/08—Vaulted roofs
- E04B7/10—Shell structures, e.g. of hyperbolic-parabolic shape; Grid-like formations acting as shell structures; Folded structures
- E04B7/107—Folded structures
-
- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04B—GENERAL BUILDING CONSTRUCTIONS; WALLS, e.g. PARTITIONS; ROOFS; FLOORS; CEILINGS; INSULATION OR OTHER PROTECTION OF BUILDINGS
- E04B1/00—Constructions in general; Structures which are not restricted either to walls, e.g. partitions, or floors or ceilings or roofs
- E04B1/343—Structures characterised by movable, separable, or collapsible parts, e.g. for transport
- E04B1/344—Structures characterised by movable, separable, or collapsible parts, e.g. for transport with hinged parts
- E04B1/3449—Structures characterised by movable, separable, or collapsible parts, e.g. for transport with hinged parts with living hinge
-
- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04C—STRUCTURAL ELEMENTS; BUILDING MATERIALS
- E04C2/00—Building elements of relatively thin form for the construction of parts of buildings, e.g. sheet materials, slabs, or panels
- E04C2/30—Building elements of relatively thin form for the construction of parts of buildings, e.g. sheet materials, slabs, or panels characterised by the shape or structure
- E04C2/32—Building elements of relatively thin form for the construction of parts of buildings, e.g. sheet materials, slabs, or panels characterised by the shape or structure formed of corrugated or otherwise indented sheet-like material; composed of such layers with or without layers of flat sheet-like material
-
- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04B—GENERAL BUILDING CONSTRUCTIONS; WALLS, e.g. PARTITIONS; ROOFS; FLOORS; CEILINGS; INSULATION OR OTHER PROTECTION OF BUILDINGS
- E04B1/00—Constructions in general; Structures which are not restricted either to walls, e.g. partitions, or floors or ceilings or roofs
- E04B1/32—Arched structures; Vaulted structures; Folded structures
- E04B2001/327—Arched structures; Vaulted structures; Folded structures comprised of a number of panels or blocs connected together forming a self-supporting structure
- E04B2001/3276—Panel connection details
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- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04B—GENERAL BUILDING CONSTRUCTIONS; WALLS, e.g. PARTITIONS; ROOFS; FLOORS; CEILINGS; INSULATION OR OTHER PROTECTION OF BUILDINGS
- E04B1/00—Constructions in general; Structures which are not restricted either to walls, e.g. partitions, or floors or ceilings or roofs
- E04B1/32—Arched structures; Vaulted structures; Folded structures
- E04B2001/327—Arched structures; Vaulted structures; Folded structures comprised of a number of panels or blocs connected together forming a self-supporting structure
- E04B2001/3288—Panel frame details, e.g. flanges of steel sheet panels
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- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04B—GENERAL BUILDING CONSTRUCTIONS; WALLS, e.g. PARTITIONS; ROOFS; FLOORS; CEILINGS; INSULATION OR OTHER PROTECTION OF BUILDINGS
- E04B1/00—Constructions in general; Structures which are not restricted either to walls, e.g. partitions, or floors or ceilings or roofs
- E04B1/32—Arched structures; Vaulted structures; Folded structures
- E04B2001/3294—Arched structures; Vaulted structures; Folded structures with a faceted surface
Definitions
- ABSTRACT A universal folded plate component for structures, fastening means for joining such components together and structures comprising such components, the components themselves and the fastening means being geometrically designed so that the folded plate components can be connected in precise alignment in either the same or reversed fold position relative to one another to thereby build up structures having all curved configuration, all straight configuration or curved and straight configuration combined and having a variety of different ground plans.
- Folded plate structures belong to the family of space structures which derive their strength and stability from a three-dimensional or spatial equilibrium of external and internal forces. Since their strength is to a large extent the function of their geometry, space structures are very efficient in their use of materials. Considerable savings in labor can also be realized by subdividing the space structure into smaller components which can be prefabricated using mass production machinery and methods and reducing on-site construction work to the mere assembly of components.
- Folded plate structures are eminently suited for prefabrication since they comprise planar surfacesand straight joints.
- a most efficient prefabricated folded plate component is a diamond shaped plate, folded along its longer diagonal.
- the advantages of using folded diamond plates in building structures have already been recognized in the past and there are known designs of structural assemblies of folded diamond components, such as the cylindrical barrel vault, an adaptation in form of the ancient Japanese lantern, and various dome structures, built either with the geodesic principle or to the shape of the Scandinavian folded umbrellas.
- each of the known folded diamond component assemblies approximates a surface with a constant curvature defined by a radius which in turn is the function of the components dimensions. Therefore each structure having a different span and radius of curvature requires a different set of components and this makes the dimensional standardization and inass production of a single component type impractical.
- each structure of the prior art requires at least three dimensionally different com- .ponent types, the only exception being the cylindrical barrel vault, which can be assembled from identical components; however, its span is limited to less than four times the component length for structural reasons.
- each folded diamond has a concave or valley side and a convex or ridge side.
- all the identical folded diamond components are in the same fold positions, i.e., all components face the structures exterior with their concave or valley sides. This practice has resulted from lack of vision in the prior art coupled with unavailability of prior art means for connecting identical components in other than identical relationship.
- FIG. I is a diagrammatic,perspective view of the basic folded diamond component
- FIG. 2 is a diagrammatic view in cross section of the component of FIG. 1 taken on the line 2-2 of FIG. 1 and in a plane perpendicular to its fold line;
- FIGS. 3, 4 and 5 are perspective views of parallel assemblies comprising four components of FIG. 1;
- FIG. 6 is a perspective view ofa structure comprising the assemblies shown in FIGS. 2, 3 and 4;
- FIG. 7 is a fragmentary, and elevational view of a structure similar to FIG. 6, alternative sectional formations being shown in phantom lines;
- FIG. 8 is a perspective view of a transversal half component unit
- FIG. 9a is a diagrammatic, perspective view of a horizontally disposed radial assembly of four components of FIG. 1;
- FIG. 9b is a diagrammatic, perspective view of a radial assembly of four components for a sloping structure, the vertical projection lines between FIGS. 9a and 9b showing how the diamond shaped plates of FIG. 9a become deltoid shaped plates in the structure of FIG. 9b;
- FIG. 10 is a perspective view of structure assembled from folded diamond shaped components:
- FIG. 11 is a perspective view of a structure assembled from folded diamond shaped components
- FIG. 12 is a partially diagrammatic, perspective view of a radial assembly comprising eight components of FIG. 1;
- FIG. 13 is a perspective view of a conversion assembly comprising five radial disposed and one parallel disposed components of FIG. 1;
- FIG. 14 is a partially diagrammatic, perspective view of a structure assembled from radially and parallel disposed folded diamond shaped] and deltoid shaped components; a
- FIG. 15 is a partially diagrammatic end elevationa view of a cylindrical barrel vault assembly of folded diamond shaped components, its partial mirror image below ground level being shown in phantom lines;
- FIG. 16 is a partially diagrammatic, perspective view of a component similar to the component of FIG. 1 but having two spaced, parallel main surfaces;
- FIG. 17 is a partially diagrammatic, fragmentary perspective view of a structural assembly comprising a plurality of the components shown in FIG. 16;
- FIG. 18 is a partially diagrammatic view in a side elevation of the structural assembly of FIG. 17;
- FIG. 19 is a partially diagrammatic, fragmentary view in end elevation of the structural assembly of FIG. 17;
- FIGS. 20 through 33 are fragmentary, cross sectional detail views of various forms of component joints, the even numbered views being ridge joints and the odd numbered views being coplanar joints;
- F IG. 34 is a partially diagrammatic, fragmentary,
- FIGS. 32 and 33 perspective view of a structural assembly comprising a plurality .of single-skin components having the flangetype marginal connection means shown in FIGS. 32 and 33; l
- FIG. 35 is a fragmentary, perspective view of component connecting structure
- FIG. 36 is an exploded view of a modification of the connecting structure of FIG. 35;
- FIG. 37 is a partially diagrammatic, perspective view of a space frame assembled from folded diamond components and transversal stiffener rods.
- FIG. 38 is a partially diagrammatic, side elevational view of the space frame of FIG. 37 showing post-tensioning.
- FIGS. 1 and 2 show the basic structural component 40, which is obtained by folding a flat, diamond shaped plate along its longer diagonal 41, thereby creating a dihedral angle 42, which is enclosed by two identical, triangular portions 43 of the component 40, each triangular portion 43 having free or joint edges 44.
- the term diamond shaped generally describes a rhombus which has four sides identical in length, two obtuse and two acute angles, and is symmetrical about both of its diagonals, therefore it can be folded symmetrically along either of its diagonals, the longer one being preferred.
- the basic component 40 may also have the shape of a folded deltoid.
- deltoid is used herein to describe a four sided figure having one pair of contiguous sides identical to each other and the other pair of contiguous sides identical to each other but different in length than the first pair. This results in only two opposite corners of the four corners of the figure having identical angles and therefore a flat plate having this shape can be symmetrically folded only along one of its diagonals.
- a square flat plate can also be used folded along either diagonal.
- the flat plate is in the form of a symmetrical quadrilateral in which at least one axis of symmetry extends between two opposite corners of the quadrilateral.
- the term symmetrical quadrilateral is used to define such a figure.
- a primary object of this invention is to provide a folded symmetrical quadrilateral plate component which can be interconnected with a plurality of dimensionally identical components in a number of different relative positions to provide the greatest possible variety of structural assemblies. Therefore the component of the invention should preferably meet two criteria: (a) the components overall dimensions, such as length of fold line 41 and length ofjoint edges 44 or degrees of fold angle 42, shall satisfy the geometric requirements of all the desired structural assemblies; and (b) the components joint edges 44 shall assure the formation of precisely aligning, structurally dependable connections between contiguous joint edges of adjoining components, regardless of the relative positions of their fold angles and'fold lines.
- each of the structural assemblies of this invention contains at least one of these subassemblies, which are different from each other due to their components relative positions, meaning the directions of both the fold angle and the fold line.
- the directions of the fold angles of two adjoining components may be identical, i.e., both pointing in the same direction, or one may be reversed.
- the direction of their fold lines may be best described by the positions of the components longitudinal planes of symmetry 46 taken through their fold lines 41, as seen in FIG. 2 and these planes of symmetry of two adjoining components may be either parallel or intersecting.
- FIGS. 3, 4 and 5 the components longitudinal planes of symmetry 46 are parallel. Therefore they will be referred to as parallel subas semblies and the structures made up solely of parallel subassemblies will be designated parallel structures.
- FIG. 9a A different subassembly is shown in FIG. 9a in which the components longitudinal planes of symmetry 46 are intersecting in pairs. This subassembly will be referred to as convergent subassembly and will be used in radial structures.
- FIG. 15 shows the four components 40 in identical fold positions with their concave or valley sides facing upwards.
- the subassembly By reversing the fold position of one component 400, the subassembly can be straightened out in the direction of that unit 40a, as shown in FIG. 4and by reversing the fold positions of two components 40a with a common longitudinal plane of symmetry 46, as shown in FIG. 5, the subassembly can be straightened out in both directions.
- a plurality of the subassemblies shown in FIG. 5 can therefore become a flat, folded plate structure, such as a flat, sawtooth roof or a retaining wall, while the subassembly of FIG. 4 can be employed as a transition between curved and straight portions of structures.
- FIG. 6 A perspective view of a structure comprising all three parallel subassemblies is shown in FIG. 6.
- FIG. 7 A partial cross end elevational view of a similar structure is seen in FIG. 7, with alternate configurations shown in phantom lines.
- longitudinal half 48 and transversal half 49 units as shown in FIG. 8 are also required; however, these are exact halves of the basic unit 40 and therefore do not represent a different component type.
- Quarter units 50 (see FIG. 6) if required, can be similarly obtained by the further subdivision of half units.
- the transversal half unit 49 shown in FIG. 8, has a triangular cross plate 51 coexistant therewith, which serves as a load distributing base plate for the structure when resting on the ground or on a foundation.
- Such transversal half units 49, together with longitudinal half units 48 (see FIG. 6), can also be used to form rectangular openings for doors or windows, as seen in FIGS. 6 and 10.
- FIG. 10 also illustrates the use of transversal half units 49 with their cross plates 51 in the angular connection of straight roof and wall sections of a structure.
- FIG. 9a shows the convergent subassembly of four interconnecting components, having two components 40 in concave, and two components 40a in convex fold positions with reference to one side of the subassembly,
- This convergent subassembly is used in radial structures, such as the one shown in FIG. 10, having a polygonal ground plan, straight vertical walls and a flat, folded roof.
- Polygonal pyramids, or radial structures with a raised center point, such as the structure shown in FIG. 11, can also be assembled from identical folded plate components, however these components are folded deltoids with two longer joint edges 44a and two shorter joint edges 44b.
- FIG. 9b shows such a radial subassembly of identical folded deltoids, and this figure, taken with FIG. 9a, indicates that the proportionate lengths of the longer edges 44a and shorter edges 44b are designed in accordance with the subassemblys inclination to the horizontal plane, their horizontal projections being identical in length.
- each of these subassemblies can comprise folded deltoids as well as folded rhombuses, and therefore folded deltoids could be selected as standard components for all structures of this invention.
- folded deltoids could be selected as standard components for all structures of this invention.
- the longer joint edges 44a of a folded deltoid component are identical with the joint edges 44 of a folded rhombus, and their fold angles 42 are also identical, the two component types can be used together in a single structure.
- the vertical module polygon is characteristic of parallel structures, and relates directly to a cylindrical assembly as shown in FIG. 15, where the connecting long fold lines 41 are the sides A ofa polygon of which one half is below ground level and is shown in phantom lines 41a. All corner points 45a of this polygon are at R distance from the centerline 53 of the assembly and therefore they lie in main circle 47 of the cylindrical As seen in FIG. 15, the vertical module polygon determines the components depth D (see FIG. 2 also) which increases as the value of N, decreases. For instance if N, 6, D 0.13414, and if N,, 8, D 0.0994A, where, as mentioned above, A is the length of the long fold line 41.
- the mathematical expression of this relation is:
- the horizontal module polygon is characteristic of radial structures, such as those shown in FIGS. 10 and 11.
- the group of components meeting at the center point and resembling a star formation is shown enlarged in FIG. 12, with the horizontal module polygon indicated by phantom lines.
- the number of components in the star assembly illustrated being eight, the horizontal module polygon is an'octagon, N,, 8.
- the radial structure of FIG. 10 is based on N,, 6.
- the horizontal module polygon determines the components width C (See FIG. 2 also) which increases as the value of N,, decreases. For instance, if N,, 6, C 0577/1, and if N,, 8, C
- equation (4) can be written in terms of the angle h as follows:
- the fold angle 42 is 114l2, or l802a, for which a can be computed from:
- Components having fold angles according to this design can be used in structures which are in part parallel, in part radial, such as that of FIG. 11 and the one shown in FIG. 14.
- a modified star assembly shown in FIG. 14 and also shown enlarged in FIG. 13, serves as a transition structure between the parallel and radial sections of FIG. 14. It is obtained by havingsome of the star assemblys radial components replaced by a single component which is in parallel relationship to the two adjoining components.
- a special folded rhombus component is needed for the top center row of the parallel portion of the structure.
- the four sides of this component are identical with the shorter sides of the folded deltoid units and therefore the length of the fold line of this rhombus unit is shorter than that of the deltoid unit. So also is the depth of this rhombus unit less than the depth of the deltoid unit while the widths of the two units are the same.
- This special folded rhombus while generally conforming to the dimensional relationships of the standard components, is irregular insofar as its v angle is not the same as those of the components used with it to form the structure of FIG. 14. v
- joint plates 55 and 56 are connected by threaded bolts and nuts 57 to both sides of the connecting components periphery.
- These joint plates are folded as at 55 for the angular joints, or flat as at 56 for the coplanar joint. They may have a factory applied, compressible elastomeric lining 58 for the purpose of waterseal, but caulking applied during assembly may also be used for the same purpose. Waterseal continuity at the nodal points 45 of joint intersections may be readily accomplished with rigid corner plates overlapping the joint plates 55 or 56, or by using compressible corner sheets, inserted underneath and overlapped by the joint plates 55 or 56.
- peripheral joint surfaces are planar they must lie in planes which are inclined towards each other in a pyramidal relation, having one common point at the apex of the imaginary pyramid.
- this common point towardswhich the four planar joints are oriented lies on the centerline 53 of the cylindrical structure.
- components having four laterally abutting planar joint surfaces no matter how such surfaces are disposed, cannot be connected to provide cylindrical assemblies with void-free, precisely aligning joints.
- the only four joint surfaces capable of void-free connection in such joints are skewed sur faces, more precisely described as hyperbolic paraboloids. Such skewed surfaces would, of course, be exceedingly difficult to fabricate and more important, they could not be reversed.
- planar joint surfaces are six. These surfaces are, as shown in FIG. 16, four rectangles 60 and two triangles 61. If the rectangular joint surfaces 60 are inclined towards each other so that they are coplanar with the four sides ofa 2R high imaginary pyramid, and if the triangles 61 are parallel with the components longitudinal plane of symmetry 46 (see FIG. 2), then, as shown in FIGS. 17, 18 and 19, a plurality of such components can be connected to each other through precisely aligning, voidfree joints, regardless of the components relative fold positions.
- FIG. 17 is a perspective view of a structural assembly comprising a plurality of the components 40 shown in FIG. 16, some of the units being arranged in identical fold positions whereas others are in reversed relationship. The assembly therefore has a curved as well as a straight section.
- FIG. 18 is a side elevation of this assembly and FIG. 19 is a cross section of the same.
- first component 40b the inwardly facing surface of which is bounded by nodal points E, F, G and H
- second component 40c shown by dotted lines and similarly bounded by nodal points E, F, K and L, which nodal points correspond in both cases to points 62, 63, 64 and 65, respectively, of component 40 in FIG. 16, herein also termed nodal points for convenience.
- the selected joint with the rectangular surface shown shaded for greater emphasis, extends between points E and F, which are common to both components 40b and 40c.
- Corner points E and G of the first component 40b are points on a first main reference circle 47b, shownby a phantom line, with R radius and with its center point P lying on the centerline 53 of the assemblys curved portion.
- Reference circle 47b lies in the plane of symmetry 46 of the unit and' fold line 41b constitutes a chord of the circle which subtends the angle v, here before referred to.
- the first main circle 47b also contains the apex J of an imaginary first pyramid of which the four side surfaces are coplanar with the four rectangular joint surfaces 60b of the first component 40b. In the case of a diamond-shaped folded component, as illustrated, apex J will be on a diameter 67 of the first main circle which passes through the midpoint of fold line 41b.
- the corner points F and K of the second component 40c lie on a second main circle 470, shown by a dotted line, which is identical with and parallel to first main circle 47b and also has its center point T on centerline 53.
- the distance between center points P and T is one half of a components full width, the full width being measured as the length of reference line 68 extending between points H and F, or as the distance between points H and F, or E and L.
- the second main circle 47c also contains the apex M of an imaginary second pyramid, the four side su rfaces of which are coplanar with the four rectangular joint surfaces 600 of the second component 40c. Apex M is similarly located on a diameter of the second main circle 47c including the midpoint of fold line 41c.
- the EF joint which has been selected for the pur-' pose of illustration, comprises the laterally abutting rectangular joint surfaces 60b and 600 of the two adjoining components 40b and 40c, respectively.
- these surfaces 60b and 60c must theoretically be in the same plane when connected to each other; It can be readily shown that they are coplanar, since: (a) the joint surface 60b of the first unit 40b is coplanar with EFJ triangle; (b) the joint surface 60cof the second unit 40c is coplanar with EFM triangle; triangles EFJ and EFM are identical and their sides FJ and EM intersect at point S which lies on centerline 53 and is equidistant from points P and T; (d) EFJ triangle and EFM triangle have three common points, E, F and S, and are therefore coplanar themselves.
- FIGS- 17, 18 and 19 also show how the triangular joint surfaces 61 of two laterally connecting units align with each other, regardless of the components relative fold positions.
- the two triangular joint surfaces 61 of each component are parallel to the units longitudinal plane of symmetry 56 and one comer or nodal point 63 of each triangular joint surface 61 is coincident with one comer or nodal point of the units concave side. Reversing the fold of unit 40b would merely reverse the position of the triangular surface 61 without disturbing the effectiveness of the joint. This will be evident from an inspection of component 40d of FIG. 17, which component is in reversed fold relation to unit 40b;
- Modular dimensions A, B, C and D as described above, apply to the convex side of a component having appreciable thickness, the type shown in FIG. 16.
- the units length A is the length of the ridge fold line 4lb on the convex side of the component
- V valley fold line 41c on the concave side becoming in- I spaced, parallel relationship with each other; however,.
- FIGS. 22 and 23 show joints between components of the stressed skin type, having plywood skins 66 and wood framing members 52.
- the connecting surface portions of the components are held in connected relation to each other with folded joint plates 54 or planar 69 joint plates and with nails 70 driven through said joint plates and into the skin 66 and framing member 52.
- the same joint can be made releasable by using bolts and nuts instead of the nails, similarly to the joint shown in FIGS. and 21.
- Various known means, such as'resilient seal strips 71, 72 can be employed for increased weathering resistance, thermal insulation, and waterseal.
- FIGS. 24 and 25 Joints between components made of reinforced concrete 75 are shown in FIGS. 24 and 25. Similar components may also be made of other, substantially homogeneous materials, such as organic and inorganic foams, various boards comprising suitable binders and fibrous or granular fillers, and the like.
- the peripheral metal framing members 76 also act as connection means and present abutting joint faces, the latter presenting opposed connecting surfaces which correspond to surfaces 60 of FIG. 16. These faces can be permanently welded, adhesive bonded or riveted to each other, or they may be releasably connected by means of bolts and nuts 77, as shown in FIGS. 24 and 25.
- compressible elastomeric sealants 78 can be permanently attached to the suitably shaped framing members 76. After the bolts have been tightened, their access cavities 79 may be covered or filled with a suitable material, or they may remain exposed if properly waterproofed.
- FIGS. 26 and 27 show joints between sandwich-type components, the components having two spaced, parallel skins 81 made of sheets of steel, aluminum, plywood, reinforced plastics and the like.
- an insulating core 82 made of cellular concrete, honeycomb, polystyrene or polyurethane foam, or similar lightweight material
- a peripheral framing member 83 made of a suitable material having low thermal conductivity, such as wood or plastics.
- Each marginal portion of such component is suitably shaped at 81a and 81b to form connecting surface means for coaction with a pair of identical, folded lockstrips 84, made of metal, reinforced plastics or the like which are coextensive in length with a joint edge of the component.
- the lock-strips are in a parallel, spaced relationship, adjustibly connected to each other by a plurality of spaced bolts and nuts 85. Tightening the bolts and nuts 85 of an assembled joint compresses the lockstrips 84 against portions 81a, 81b of the component's inclined marginal surfaces, thereby drawing together the components into a tight joint connection, the framing members and the coacting portion of skins 8] in each component constitute connecting surface means.
- the coinciding surfaces of framing members 83 correspond to surfaces 60 of FIG. 16, while the bolts 85, being recessed into both abutting framing members 83, become very effective shear keys.
- FIG. 26 also illustrates the use of a bolt and nut 85 to secure a transversal stiffener member 87 to the assembled structure.
- FIGS. 28 and 29 A functionally equivalent joint is shown in FIGS. 28 and 29 in which the connecting means on each component provides for line contact with the connecting means on the adjacent component and where the cylindrically shaped lockstrips 90 are recessed within the outside dimension of the components and are concealed by cover plates 91, 92 and 93.
- the fastening bolts 90a which hold the lockstrip 90 may be formed integral with the lockstrips by welding the bolt heads to the lockstrip or in any other suitable manner to reduce labor costs in the field.
- the cover plates are folded, 91 and 92 for the ridge joint, flat, 93 for the coplanar joint, and they are of the snap-in type made of a resilient material such as steel or reinforced plastics.
- the components have two rigid skins 94, which may be translucent reinforced plastics and which are adhesive bonded to extruded framing members made of aluminum or reinforced plastics.
- Each of said framing members 95 has a marginal joint extension 96 forming a connecting surface means which is coextensive in length with the framing member 95 and which has suitably shaped con necting surfaces to engage the cylindrical lockstrips 90 when the joint is assembled.
- the geometric principles of this invention apply to the type of joints shown in FIGS. 28 and 29, for the connecting surface means of joint extensions 96 are symmetrically disposed relative to plane XX and plane XX must be perpendicular to the YY plane.
- each pair of plate elements or skins 94, 94 of a component may be identical, with the frame member 95 accommodating for the discrepancy in size of the concave element.
- the line of contact is preferably located in a plane Z--Z equally spaced from both facing skins. This line of contact is maintained in all variations of the releasable joint, regardless of the relative fold positions of the connecting components.
- the modular dimensions of the components are measured in the plane Z--Z and therefore the length of the free edges of the components in FIGS.
- the joint faces are provided with a plurality of spaced small vertical recesses 90b, each of the recesses having a substantially cylindrical inner surface, similar to but slightly larger than the locking bolt 90a.
- the recesses 90b are spaced identically with the lock bolts 90a so that each recess, togetheR with the identical opposite recess of the abutting joint face of an extension 96 is capable of receiving the lock bolt when the joint is assembled.
- elastomeric gasket 900 made of a permanently elastIc material, such as polysulphide', or silicone rubber, said elastomeric gasketbeing permanently bonded to the inner or concave side of the exterior lock strip 90.
- the marginal joint extensions or connecting surface means of single skin components may be merely flat flanges 97 disposed in plane XX and the lockstrips then become a pair of flat joint plates 98. Since such flat joint plates 98 do not have the mechanical interlocking capability of the nonplanar lockstrips seen in the previous examples, the flat joint plates 98 require two rows of bolts and nuts 99.
- An advantage of this joint over the one shown in FIGS. and 21 is that since the flanges 97 of adjoining components are always in plane X--X regardless of the components relative fold positions, the same flat joint plates 98 can be used for both coplanar and ridge joints.
- FIGS. 32 and 33 A preferred joint for single skin components is shown in FIGS. 32 and 33, requiring no joint plates and only one row of bolts and nuts.
- the joint flanges or connecting surface means 100 of two adjoining components are overlapping in plane XX and are secured to each other by bolts and nuts 101.
- Moisture penetration through the joint is prevented by a compressible elastomeric sealant 102 which is either adhesive bonded to the extreme periphery of the flanges 100, as shown in FIGS. 32 and 33, or is provided in the form of a strip and is placed between the joint flanges.
- the connecting surface means 97 and 100 are substantially coplanar with plane X-X which is perpendicular to Plane YY. Since the connecting surface means, as distinguished from the connecting surfaces per se, necessarily have some body or thickness, it is more accurate to consider that each connecting surface means have a plane of symmetry which is spaced from and parallel to plane XX of the connecting surface per se. Nevertheless this plane of symmetry is of course perpendicular to plane YY. Also, in some cases, as in the joint structures of FIGS. 26 to 29 inclusive, the connecting surfaces per se are not necessarily planar but the plane of symmetry of the surface portions 81a, 81b of the connecting surface .means in FIGS. 26 and 27 and arcuate surface portions 96a of connecting surface means 96 in FIGS. 28 and 29 must in such case be perpendicular to plane YY.
- connection means such as bolts 77 of FIG. 24, elements 84, of FIG. 26, element 90, a of FIG. 28, bolts 99 of FIG. 30 and bolts 101 of FIG. 32, which cooperate with the associated fastening element means.
- FIG. 34 shows a part curved, part straight structural assembly of a plurality of single skin components with overlapping flange type joints, illustrating that the basic geometric principles of this invention apply to single skin components as well as to components having an appreciable thickness.
- the main circle 47d taken through nodal points E and G of a selected component 40f also contains apex J of the imaglnary pyramid of the unit 40F, and each of the four joint flanges of the component 40f is perpendicular to the corresponding side of the pyramid.
- the joint flange 100 extending between points E and F is perpendicular to the BF] triangle
- the flange extending between points E and H is perpendicular to the EI-IJ triangle, and so on.
- each pair ofjoint flanges 100 which meet atone end of the fold line 41f, such as the two joint flanges 100 extending from E to F and from E to H, lie in the same plane, this plane being perpendicular to line EJ in the case of the two said joint flanges.
- FIG. 35 shows, by way of illustration, three bolts 105 grouped together using a common washer plate 106, which is preferably made of galvanized steel and is provided with an elastomeric sealant liner (not shown) when used on the outside of the joint.
- the individual bolts may be incorporated into a multiple connector member 108, as shown in FIG. 36, preferably made as a single steel casting and including elastomeric sealant liner 109 where member 108 is to be used on the outside of the joint.
- the three fold lines which are converging to a longitudinal noda'l point of the component may be terminated at a distance from that nodal point by rounding off the fold lines gradually as shown in FIG. 35 to avoid overstressing in the nodal area.
- the long fold line 41 may be bent with a radius, or as shown in FIG. 35, a valley plane 110 may also be formed along the long fold line.
- the term folded as used in this specification andappended claims embraces these departures from a. folded configuration in the strict sense.
- Simple combinations of the illustrated joints may yield useful results, for instance the flange-type joint described for single-skin components can be adopted for double skin components as well.
- the adjacent folded plate components can be joined in a closed satisfactory joint by forming the contiguous marginal portions-of adjacent components as planar surfaces, the planar surfaces of noncontiguous sides of each component being in parallel planes, thereby forming prismatic shaped components.
- this differs from the earlier described embodiments in which the planes are slightly inclined toward one another.
- the folded plate components since the folded plate components must in such case be connected with the fold angle facing alternately in the same direction and reversed direction and since the other desirable aspects of the various joints illustrated and described are lacking, this prismatic-type joint is not preferred.
- the components may be strengthened with framing, internal grids, ribs, by corrugating the skins, and by other similar, conventional means.
- Longitudinal half units may be provided with additional means along their longest edge for further strength, or to facilitate the connection of end walls, which may be of any conventional design, but may also be assembled from folded diamond components.
- transversal stiffener members may be secured to the structures nodal points 45.
- the stiffener members may be cables if they are subject to tension only, however, they are generally made of a tube 87 as seen in FIG. 30 or of angle or channel shape.
- the transversal stiffener members may be used in short lengths to reinforce the folds of the marginal units at the structures free edges only, or they may be continuous from one end of the structure to the other.
- FIG. 37 is a perspective view of such a horizontal, flat space frame assembly. All the various structural configurations of this invention can be similarly converted into space frames by the use of transversal stiffener members 87.
- the loadbearing capabilities of flat structural assemblies can be substantially increased by the use of tensioning cables 112, attached to the underside of the structure as shown in FIG. 38, and post-tensioned after the structure has been assembled.
- the initial stresses caused by such post-tensioning force are the opposite of those caused by external loading and therefore the two types of stresses will tend to cancel out each other.
- Post-tensioning also reduces deflections due to heavy snow load, by creating an initial upward curvature or camber. This camber also facilitates drainage of the roof.
- space frames of the prior art can generally be utilized as supporting structural framework only, requiring an additional, superimposed roof to provide weathershield, thermal insulation, space separation, etc.
- the space frames of this invention satisfy all functional requirements simultaneously and offer enclosed spaces which are weathertight and habitable immediately upon assembly.
- the folded plate action gives increased buckling resistance for the compression members in the direction of the folds. Therefore such members can be made longer and the nodal points can be spaced farther apart; allowing a corresponding reduction in the number of transversal members as well.
- a further advantage is a higher degree of prefabrication under controlled factory conditions and greater savings in labor than was made possible by the prior art, since the components of this invention combine a number of individual frame members, roofing elements and means for thermal insulation and waterseal into a single, multi-purpose, factory-finished component.
- Assembly of the various structures is extremely simple, many can be assembled from a single drawing or photograph, requiring little or no field measurements, special tools or heavy lifting equipment.
- the structures can be assembled entirely on the ground, tilted up gradually as assembly progresses, or lifted up after assembly is completed; therefore the need for temporary erection scaffolding or shoring is reduced or altogether eliminated.
- coplanar is used to describe planes which coincide with each other or are in closely spaced parallel relation, where the spacing between the planes is inconsequential relative to the principles of the present invention.
- parallel is used in respect to planes where the planes are exactly parallel or practically so for purposes of the principles of the present invention.
- the plane of symmetry which includes the fold line of each of the folded diamond components making up the illustrated structures is vertically disposed, i.e., in perpendicular relation to a horizontal plane.
- a structural component comprising:
- a symmetrical quadrilateral shaped plate member folded along a diagonal to form two similar triangular portions which adjoin each other along the fold line and lie in planes disposed at equal angles to the plane of symmetry of the component which includes the fold line, the plane of symmetry being considered to be vertically disposed for the purposes of this claim,
- each triangular portion having two apices in common with the other triangular portion at the fold line to form longitudinal nodal points of the component
- each triangular portion forming a transverse nodal point on the associated side of the component, both third apices lying on a first straight reference line, having a midpoint midway between thethird apices,
- each triangular portion having free sides joining the transverse nodal point and the longitudinal nodal points
- a reference point on the circumference of the reference circle formed by extending a straight line from the midpoint of the first straight reference line through the center of the circle to a point of intersection with the circumference of the reference circle on the side of the circle away from the fold line,
- the folded plate member comprises a pair of spaced plate elements one plate element forming a concave surface of the member and the other plate element forming a convex surface of the member,
- the plate elements are positioned with their associated triangular portions in parallel relation, and
- the plate elements have corresponding marginal portions along the free sides terminating in the respective associated .intersecting reference planes.
- a spacing means closes the space between the marginal portions of the plate elements to form part of the plate member
- the plate member marginal portions are rectangu lar planar surfaces
- the plate member includes at each transverse nodal point 'a triangular shaped planar surface lying in a plane parallel to the first reference plane, each transverse nodal point on the component's convex side coinciding with one apex of the corresponding triangular shaped planar surface.
- the connecting surface means comprise integral marginal portions of the plate elements.
- rigid frame means connect the plate elements together along marginal portions of the plate elements, and i the connecting surface means of limitation (h) are carried by the rigid frame means.
- each connecting surface means comprising a surface coplanar with the associated intersecting reference plane.
- each said fastening element means have a plane of symmetry which is perpendicular to the associated intersecting reference plane.
- the triangular portions of the plate member are formed of homogeneous material.
- each triangular portion includes at the transverse nodal point a triangular shaped planar surface lying in a plane parallel to said plane of symmetry of the component, the transverse nodal point on the components convex side coinciding with one apex of the triangular shaped planar surface.
- each connecting surface means comprise an integral extension of the plate member having two surfaces lying in planes which are perpendicular to the associated intersecting reference plane.
- a resilient sealing member extends around the free edge and snugly engages at least the marginal portions of the two surfaces.
- a resilient enlargement is carried by the sealing member contiguous to and beyond the free edge of the connecting surface means.
- the triangular portions of the plate member are relatively thick, and I k. the connecting surface means comprise integral marginal portions of the triangular portions.
- each connecting surface means project beyond the associated marginal portions of the triangular portions and have a plane of symmetry which is perpendicular to the associated intersecting reference plane.
- the triangular portions of the plate member are relatively thick
- each connecting surface means comprise a surface coplanar with the associated intersecting reference plane.
- a structural component comprising:
- a symmetrical quadrilateral shaped plate member folded along a diagonal of symmetry to form two similar triangularportions which adjoin each other along the fold line and lie in planes disposed at equal angles to the plane of symmetry of the component which includes the fold line, the plane of symmetry being considered to be vertically disposed for the purposes of this claim,
- each triangular portion having two apices in common with the other triangular portion at the fold line to form longitudinal nodal points of the component
- each triangular portion having a first free side and a second free side joining the transverse nodal point and the longitudinal nodal points, the first free sides of the triangular portions being contiguous and equal in length and the second free sides of the triangular portions being contiguous and equal in length,
- first connect-ing surface means associated with each of the first free sides of the triangular portions, each of the first connecting surface means either lying in a plane perpendicular to, or having a plane of symmetry coplanar with, a common reference plane which includes both of the first free sides, and
- each of the. second connecting surface means associated with each of the second free sides of the triangular portions, each of the. second connecting surface means either lying in a plane perpendicular to, or having a plane of symmetry coplanar with, a second common reference plane which includes both of the second free sides,
- the first free side and the second free side of each triangular portion being of unequal length whereby the plate member is symmetrical onlyin respect to said plane of symmetry of the component.
- each of the connecting surface means having a plane of symmetry which is perpendicular to the associated common reference plane.
- a structural component comprising:
- a symmetrical quadrilateral shaped plate member folded along a diagonal of symmetry to form two similar triangular portions which adjoin each other along the Fold line and lie in intersecting planes disposed at equal angles to the plane of symmetry of the component which includes the fold line,
- each such connecting surface means being structurally complementary to each of the other connecting surface means for connection with contiguous connecting surface means of one of a plurality of contiguous corresponding components in either one of only two positions, one position being with two associated triangular portions of the structural component and a contiguous corresponding structural component lylng in substantially the same plane, the other position being with two associated triangular portions of the structural component and another contiguous corresponding structural component disposed at an angle to one another such that said plane of symmetry of the structural component and said plane of symmetry of the other contiguous corresponding structural component are both perpendicular to a common reference plane,
- each peripheral extension member including an enlargement in cross section which is shaped and disposed substantially the same as each of the enlargement on the peripheral extensions carried by the other free sides,
- the two abutting peripheral extension members of the contiguOus components are fastened together by a pair of elongated fastening elements, each pair of fastening elements having a longitudinally extending concavity with the concavities of each pair of fastening elements in opposed relation to one another and In clamping relation with the converging portions of the associated peripheral extension members.
- one fastening element of each pair has a plurality 0F spaced cylindrical bolts each with a threaded end portion, each bolt being permanently secured at its other end in perpendicular relation to the concave side of the fastening element along the center line of the fastening; element, the other fastening element having cylindrical holes drilled along the center line thereof, the holes being slightly larger than the bolts the holes being 7 identically spaced with the bolts, the bolts being recelved in the holes and the projecting threaded ends of the bolts being screw threadedly engaged with threaded nuts,
- one of the fastening elements having an elongated elastomeric gasket permanently secured to the concave side of the one fastening element.
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Abstract
A universal folded plate component for structures, fastening means for joining such components together and structures comprising such components, the components themselves and the fastening means being geometrically designed so that the folded plate components can be connected in precise alignment in either the same or reversed fold position relative to one another to thereby build up structures having all curved configuration, all straight configuration or curved and straight configuration combined and having a variety of different ground plans.
Description
United States Patent 1 1 Kolozsvary 1 STRUCTURAL COMPONENT AND STRUCTURES COMPRISING THE SAME [76] Inventor: Arpad Kolozsvary, 180 Morris Avenue, Mountain Lakes, NJ. 07046 [*1 Notice: The portion of the term of this patent subsequent to Jan. 6, 1988, has been disclaimed.
[22] Filed: Jan.25, 1971 21 Appl. No.: 109,169
Related us. Application Data [60] Division of Ser. No. 789,845, Jan. 8, 1969, Pat. No. 3,557,501, which is a continuation-in-part of Ser. No. 537,829, Feb. 8, 1966, abandoned.
[52] US. Cl. ..52/81, 52/394, 52/584 [51 Int. Cl ..E04b 1/32, E04b 7/08 [58] Field of Search ..52/80, 81, 394, 584
[5 6] References Cited UNITED STATES PATENTS 3/1937 Williamson ..52/82 2/1956 Berry [451 *May 1, 1973 3,026,651 3/1962 Richter ..52/81 3,043,054 7/1962 Schmidt ..52/81 3 1 86,524 6/ 1965 Spaeth ..52/86 3,203,144 8/1965 Fuller ..52/81 3,300,934 1/1967 Waizenhofer ....5 2/394 3,374,588 3/1968 Alfrey et al ..52/81 FOREIGN PATENTS OR APPLICATIONS 653,204 1 1/1962 Canada ..52/86 1,408,330 7/1965 France ..52/81 Primary Examiner-Henry C. Sutherland Attorney-Shanley & ONeil 5 7] ABSTRACT A universal folded plate component for structures, fastening means for joining such components together and structures comprising such components, the components themselves and the fastening means being geometrically designed so that the folded plate components can be connected in precise alignment in either the same or reversed fold position relative to one another to thereby build up structures having all curved configuration, all straight configuration or curved and straight configuration combined and having a variety of different ground plans.
22 Claims, 39 Drawing Figures Patented May 1, 1973 3,729,876
I 6 Sheets-Sheet 1 BY AR OLOZS ww ATTORNEYS Patented May 1, 1973 6 Sheets-Sheet 2 FIG. l5
Patented May 1,v 1973 3,729,876
6 sheets-vsheet 5 Patented Ma 1, 1973 6 Sheets-Sheet 4 Patented May 1, 1973 V 3,729,876
6 Sheets-Sheet 5 Patqented May 1, 1973, I 3,729,876
I e Sheets-Sheet e STRUCTURAL COMPONENT AND STRUCTURES COMPRISING THE SAME CROSS-REFERENCES TO RELATED APPLICATIONS The present application is a division of my prior copending United States patent application filed Jan. 8, 1969, Ser. No. 789,845, now U.S. Pat. No. 3,557,501 which copending application was a continuation-inpart application of my now abandoned prior cope-nding United States patent application filed Mar. 28, 1966, Ser. No. 537,829, for Universal Folded Plate Shell Structures.
BACKGROUND OF THE INVENTION Folded plate structures belong to the family of space structures which derive their strength and stability from a three-dimensional or spatial equilibrium of external and internal forces. Since their strength is to a large extent the function of their geometry, space structures are very efficient in their use of materials. Considerable savings in labor can also be realized by subdividing the space structure into smaller components which can be prefabricated using mass production machinery and methods and reducing on-site construction work to the mere assembly of components.
1 Folded plate structures are eminently suited for prefabrication since they comprise planar surfacesand straight joints. A most efficient prefabricated folded plate component is a diamond shaped plate, folded along its longer diagonal. The advantages of using folded diamond plates in building structures have already been recognized in the past and there are known designs of structural assemblies of folded diamond components, such as the cylindrical barrel vault, an adaptation in form of the ancient Japanese lantern, and various dome structures, built either with the geodesic principle or to the shape of the Scandinavian folded umbrellas.
While these known structures have clearly demonstrated the strength, stability and economy of folded diamond plate assemblies, it has also become evident that their practical usefulness is limited by the overall configurations of these structures. Each of the known folded diamond component assemblies approximates a surface with a constant curvature defined by a radius which in turn is the function of the components dimensions. Therefore each structure having a different span and radius of curvature requires a different set of components and this makes the dimensional standardization and inass production of a single component type impractical. Moreover, each structure of the prior art requires at least three dimensionally different com- .ponent types, the only exception being the cylindrical barrel vault, which can be assembled from identical components; however, its span is limited to less than four times the component length for structural reasons.
In the last case the reason for the prior art being limited to structures of cylindrical barrel vault shape is the manner in which the single type of component units are positioned. Each folded diamond has a concave or valley side and a convex or ridge side. In the structures of the prior art all the identical folded diamond components are in the same fold positions, i.e., all components face the structures exterior with their concave or valley sides. This practice has resulted from lack of vision in the prior art coupled with unavailability of prior art means for connecting identical components in other than identical relationship.
DESCRIPTION OF THE DRAWINGS FIG. I is a diagrammatic,perspective view of the basic folded diamond component;
FIG. 2 is a diagrammatic view in cross section of the component of FIG. 1 taken on the line 2-2 of FIG. 1 and in a plane perpendicular to its fold line;
FIGS. 3, 4 and 5 are perspective views of parallel assemblies comprising four components of FIG. 1;
FIG. 6 is a perspective view ofa structure comprising the assemblies shown in FIGS. 2, 3 and 4;
FIG. 7 is a fragmentary, and elevational view of a structure similar to FIG. 6, alternative sectional formations being shown in phantom lines;
FIG. 8 is a perspective view ofa transversal half component unit;
FIG. 9a is a diagrammatic, perspective view of a horizontally disposed radial assembly of four components of FIG. 1;
FIG. 9b is a diagrammatic, perspective view of a radial assembly of four components for a sloping structure, the vertical projection lines between FIGS. 9a and 9b showing how the diamond shaped plates of FIG. 9a become deltoid shaped plates in the structure of FIG. 9b;
FIG. 10 is a perspective view of structure assembled from folded diamond shaped components:
FIG. 11 is a perspective view of a structure assembled from folded diamond shaped components;
FIG. 12 is a partially diagrammatic, perspective view of a radial assembly comprising eight components of FIG. 1;
FIG. 13 is a perspective view of a conversion assembly comprising five radial disposed and one parallel disposed components of FIG. 1;
FIG. 14 is a partially diagrammatic, perspective view of a structure assembled from radially and parallel disposed folded diamond shaped] and deltoid shaped components; a
FIG. 15 is a partially diagrammatic end elevationa view of a cylindrical barrel vault assembly of folded diamond shaped components, its partial mirror image below ground level being shown in phantom lines;
FIG. 16 is a partially diagrammatic, perspective view of a component similar to the component of FIG. 1 but having two spaced, parallel main surfaces;
FIG. 17 is a partially diagrammatic, fragmentary perspective view of a structural assembly comprising a plurality of the components shown in FIG. 16; FIG. 18 is a partially diagrammatic view in a side elevation of the structural assembly of FIG. 17;
FIG. 19 is a partially diagrammatic, fragmentary view in end elevation of the structural assembly of FIG. 17;
FIGS. 20 through 33 are fragmentary, cross sectional detail views of various forms of component joints, the even numbered views being ridge joints and the odd numbered views being coplanar joints;
F IG. 34 is a partially diagrammatic, fragmentary,
perspective view of a structural assembly comprising a plurality .of single-skin components having the flangetype marginal connection means shown in FIGS. 32 and 33; l
FIG. 35 is a fragmentary, perspective view of component connecting structure;
FIG. 36 is an exploded view of a modification of the connecting structure of FIG. 35;
FIG. 37 is a partially diagrammatic, perspective view of a space frame assembled from folded diamond components and transversal stiffener rods; and
FIG. 38 is a partially diagrammatic, side elevational view of the space frame of FIG. 37 showing post-tensioning.
DETAILED DESCRIPTION FIGS. 1 and 2 show the basic structural component 40, which is obtained by folding a flat, diamond shaped plate along its longer diagonal 41, thereby creating a dihedral angle 42, which is enclosed by two identical, triangular portions 43 of the component 40, each triangular portion 43 having free or joint edges 44.
The term diamond shaped generally describes a rhombus which has four sides identical in length, two obtuse and two acute angles, and is symmetrical about both of its diagonals, therefore it can be folded symmetrically along either of its diagonals, the longer one being preferred. The basic component 40 may also have the shape of a folded deltoid. The term deltoid is used herein to describe a four sided figure having one pair of contiguous sides identical to each other and the other pair of contiguous sides identical to each other but different in length than the first pair. This results in only two opposite corners of the four corners of the figure having identical angles and therefore a flat plate having this shape can be symmetrically folded only along one of its diagonals. A square flat plate can also be used folded along either diagonal. In every case the flat plate is in the form of a symmetrical quadrilateral in which at least one axis of symmetry extends between two opposite corners of the quadrilateral. In this specification and in the appended claims the term symmetrical quadrilateral is used to define such a figure.
A primary object of this invention is to provide a folded symmetrical quadrilateral plate component which can be interconnected with a plurality of dimensionally identical components in a number of different relative positions to provide the greatest possible variety of structural assemblies. Therefore the component of the invention should preferably meet two criteria: (a) the components overall dimensions, such as length of fold line 41 and length ofjoint edges 44 or degrees of fold angle 42, shall satisfy the geometric requirements of all the desired structural assemblies; and (b) the components joint edges 44 shall assure the formation of precisely aligning, structurally dependable connections between contiguous joint edges of adjoining components, regardless of the relative positions of their fold angles and'fold lines. FIGS. 3, 4, and 9a show the four basic subassemblies of four components 40 assembled around one common point ofjuncture or nodal point 45. Each of the structural assemblies of this invention contains at least one of these subassemblies, which are different from each other due to their components relative positions, meaning the directions of both the fold angle and the fold line. The directions of the fold angles of two adjoining components may be identical, i.e., both pointing in the same direction, or one may be reversed. The direction of their fold lines may be best described by the positions of the components longitudinal planes of symmetry 46 taken through their fold lines 41, as seen in FIG. 2 and these planes of symmetry of two adjoining components may be either parallel or intersecting.
In the subassemblies of FIGS. 3, 4 and 5 the components longitudinal planes of symmetry 46 are parallel. Therefore they will be referred to as parallel subas semblies and the structures made up solely of parallel subassemblies will be designated parallel structures. A different subassembly is shown in FIG. 9a in which the components longitudinal planes of symmetry 46 are intersecting in pairs. This subassembly will be referred to as convergent subassembly and will be used in radial structures.
PARALLEL STRUCTURES Considering first the parallel subassemblies, FIG. 3
shows the four components 40 in identical fold positions with their concave or valley sides facing upwards. The well known cylindrical structure of FIG. 15, in which all components are in identical fold positions and in which all nodal points of any cross section lie in a circle 47, comprises solely the subassembly of FIG. 3. This, however, is not the only possible parallel subassembly.
By reversing the fold position of one component 400, the subassembly can be straightened out in the direction of that unit 40a, as shown in FIG. 4and by reversing the fold positions of two components 40a with a common longitudinal plane of symmetry 46, as shown in FIG. 5, the subassembly can be straightened out in both directions. A plurality of the subassemblies shown in FIG. 5 can therefore become a flat, folded plate structure, such as a flat, sawtooth roof or a retaining wall, while the subassembly of FIG. 4 can be employed as a transition between curved and straight portions of structures.
A perspective view of a structure comprising all three parallel subassemblies is shown in FIG. 6. A partial cross end elevational view of a similar structure is seen in FIG. 7, with alternate configurations shown in phantom lines. To terminate the structures in a straight line, longitudinal half 48 and transversal half 49 units as shown in FIG. 8 are also required; however, these are exact halves of the basic unit 40 and therefore do not represent a different component type. Quarter units 50 (see FIG. 6) if required, can be similarly obtained by the further subdivision of half units.
The transversal half unit 49, shown in FIG. 8, has a triangular cross plate 51 coexistant therewith, which serves as a load distributing base plate for the structure when resting on the ground or on a foundation. Such transversal half units 49, together with longitudinal half units 48 (see FIG. 6), can also be used to form rectangular openings for doors or windows, as seen in FIGS. 6 and 10. FIG. 10 also illustrates the use of transversal half units 49 with their cross plates 51 in the angular connection of straight roof and wall sections of a structure.
RADIAL STRUCTURES FIG. 9a shows the convergent subassembly of four interconnecting components, having two components 40 in concave, and two components 40a in convex fold positions with reference to one side of the subassembly,
their fold lines 41 being so oriented that the components in identical fold positions have intersecting longitudinal planes of symmetry. This convergent subassembly is used in radial structures, such as the one shown in FIG. 10, having a polygonal ground plan, straight vertical walls and a flat, folded roof.
Polygonal pyramids, or radial structures with a raised center point, such as the structure shown in FIG. 11, can also be assembled from identical folded plate components, however these components are folded deltoids with two longer joint edges 44a and two shorter joint edges 44b. FIG. 9b shows such a radial subassembly of identical folded deltoids, and this figure, taken with FIG. 9a, indicates that the proportionate lengths of the longer edges 44a and shorter edges 44b are designed in accordance with the subassemblys inclination to the horizontal plane, their horizontal projections being identical in length.
Since the structure of FIG. 11 combines all four subassemblies, i.e., three parallel and one convergent, it is evident that each of these subassemblies can comprise folded deltoids as well as folded rhombuses, and therefore folded deltoids could be selected as standard components for all structures of this invention. However, it may be deemed more practical to select a folded rhom bus for the standard component and to use additional folded deltoids in polygonal pyramids, as the need for such structures may be limited in comparison with parallel structures. If the longer joint edges 44a of a folded deltoid component are identical with the joint edges 44 of a folded rhombus, and their fold angles 42 are also identical, the two component types can be used together in a single structure.
Of course, the factor of manufacturing tolerances applies to all the critical dimensions, angles, and planes described in this specification. These practical con siderations must be kept in mind throughout this specification and in the interpretation of the claim language so as to embrace departures from ideal conditions which take place in mass production and under field erection conditions. Use of the term substantial- COMBINATION PARALLEL AND RADIAL STRUCTURES Since it is a primary object of this invention to provide prefabricated folded diamond components which can be interconnected to form parallel or radial structures as well as combinations of both, the overall dimensions of such units are designed to satisfy the geometric coordinates of parallel as well as radial structures. To determine these coordinates the invention utilizes the concept of vertical and horizontal module polygons.
The vertical module polygon is characteristic of parallel structures, and relates directly to a cylindrical assembly as shown in FIG. 15, where the connecting long fold lines 41 are the sides A ofa polygon of which one half is below ground level and is shown in phantom lines 41a. All corner points 45a of this polygon are at R distance from the centerline 53 of the assembly and therefore they lie in main circle 47 of the cylindrical As seen in FIG. 15, the vertical module polygon determines the components depth D (see FIG. 2 also) which increases as the value of N, decreases. For instance if N, 6, D 0.13414, and if N,, 8, D 0.0994A, where, as mentioned above, A is the length of the long fold line 41. The mathematical expression of this relation is:
A 1 5 180 t 1 8 0 j sin NV g NV or written in terms of the angle v:
.D= 1 i 2 a ,2 S1112 g The horizontal module polygon is characteristic of radial structures, such as those shown in FIGS. 10 and 11. The group of components meeting at the center point and resembling a star formation is shown enlarged in FIG. 12, with the horizontal module polygon indicated by phantom lines. The number of components in the star assembly illustrated being eight, the horizontal module polygon is an'octagon, N,, 8. The radial structure of FIG. 10 is based on N,, 6.
As seen in FIG. 12, the horizontal module polygon determines the components width C (See FIG. 2 also) which increases as the value of N,, decreases. For instance, if N,, 6, C 0577/1, and if N,, 8, C
0.4142/1, where A again designates the length of the fold line 41. The mathematical expression of this relation is:
C=A tg(I/N 4 which applies to all radial structures of this invention, whether flat or pyramidal. f
The practical range of values for N is also between 4 and 16 or worded differently, the angle h formed between the longitudinal planes of symmetry 46 of contiguous components can vary' between and 2230.
This means that equation (4) can be written in terms of the angle h as follows:
only one fold angle 42 for each combination. For instance, if N, 6, and N 8, the fold angle 42 is 114l2, or l802a, for which a can be computed from:
Components having fold angles according to this design can be used in structures which are in part parallel, in part radial, such as that of FIG. 11 and the one shown in FIG. 14.
A modified star assembly, shown in FIG. 14 and also shown enlarged in FIG. 13, serves as a transition structure between the parallel and radial sections of FIG. 14. It is obtained by havingsome of the star assemblys radial components replaced by a single component which is in parallel relationship to the two adjoining components. The number of replaced radial units is .5 /rl. Therefore in the example of FIG. 13 the number of replaced units is 3, since N =8.
It can be stated without further illustrations that with similar transitional subassemblies a great variety of structures can be assembled, having ground plans in the shape ofT, X, Y, Z, etc.
Although vertical and horizontal polygons with an even number of sides have been specifically referred to in the foregoing discussion, it is quite feasible to base structures on polygons having an odd number of sides.
It will be noted that to build combination parallel and radial structures such as shown in FIG. 14, a special folded rhombus component is needed for the top center row of the parallel portion of the structure. The four sides of this component are identical with the shorter sides of the folded deltoid units and therefore the length of the fold line of this rhombus unit is shorter than that of the deltoid unit. So also is the depth of this rhombus unit less than the depth of the deltoid unit while the widths of the two units are the same. This special folded rhombus, while generally conforming to the dimensional relationships of the standard components, is irregular insofar as its v angle is not the same as those of the components used with it to form the structure of FIG. 14. v
If the slope of the roof structure in FIG. 14 is slight,
. such as can be achieved by forming a ridge in a flat roof using supporting poles or by forming an upwardly curved structure using post tensioning, as described below, all the components can utilize rhombus shaped plates, the inherent give" of the parts and joint connections accommodating the change in shape of the overall structure.
Having thus described the reversible units overall dimensions as functions of the geometry of the structures assembled therefrompthe connection means of the. components will be considered next.
GEOMETRY OF JOINTS As already mentioned in the preceding, when two folded diamond components are joined in identical relative fold positions, their connecting triangular portions lie in angularly disposed planes creating a fold joint, whereas the connecting triangles become coplanar when the fold position of one component is reversed relative to the other, and therefore the joint also becomes coplanar. If the components are relatively thin, made for instance from a single sheet of metal, reinforced plastic, plywood, or the like, it is relatively simple to connect them in either angular or coplanar joints. These connections may be permanent, made by welding, adhesive bonding, nailing, etc., or the joints may be releasable, as shown by way of illustration in FIGS. 20 and 21, in which a pair of joint plates 55 and 56 are connected by threaded bolts and nuts 57 to both sides of the connecting components periphery. These joint plates are folded as at 55 for the angular joints, or flat as at 56 for the coplanar joint. They may have a factory applied, compressible elastomeric lining 58 for the purpose of waterseal, but caulking applied during assembly may also be used for the same purpose. Waterseal continuity at the nodal points 45 of joint intersections may be readily accomplished with rigid corner plates overlapping the joint plates 55 or 56, or by using compressible corner sheets, inserted underneath and overlapped by the joint plates 55 or 56.
The problem of reversible connections becomes more complex when the components have an appreciable thickness or identical coacting joint forming means are formed integral with each unit. This is frequently the case when the components are made of a substantially homogeneous material or when they have rigid surfacing skins or plate elements and are constructed either as sandwich panels, or, as shown in FIGS. 22 and 23, are made as stressed-skin panels. It is self-evident, that if the cylindrical barrel vault shown in FIG. 15 is assembled from components having an appreciable thickness of the type illustrated in FIGS. 22 and 23, the components exterior or concave surfaces must be larger than their interior or convex surfaces, in order to have precisely aligning void free joints as shown. Consequently, where these peripheral joint surfaces are planar they must lie in planes which are inclined towards each other in a pyramidal relation, having one common point at the apex of the imaginary pyramid. In the prior art it was generally assumed that in the cylindrical barrel vault type structure this common point towardswhich the four planar joints are oriented lies on the centerline 53 of the cylindrical structure. However, I have discovered that components having four laterally abutting planar joint surfaces, no matter how such surfaces are disposed, cannot be connected to provide cylindrical assemblies with void-free, precisely aligning joints. The only four joint surfaces capable of void-free connection in such joints are skewed sur faces, more precisely described as hyperbolic paraboloids. Such skewed surfaces would, of course, be exceedingly difficult to fabricate and more important, they could not be reversed.
To obtain perfectly aligning joints with planar surfaces in assemblies of folded diamond components having a larger concave and a smaller convex side in a spaced, parallel relationship, the minimum number of planar joint surfaces is six. These surfaces are, as shown in FIG. 16, four rectangles 60 and two triangles 61. If the rectangular joint surfaces 60 are inclined towards each other so that they are coplanar with the four sides ofa 2R high imaginary pyramid, and if the triangles 61 are parallel with the components longitudinal plane of symmetry 46 (see FIG. 2), then, as shown in FIGS. 17, 18 and 19, a plurality of such components can be connected to each other through precisely aligning, voidfree joints, regardless of the components relative fold positions.
FIG. 17 is a perspective view of a structural assembly comprising a plurality of the components 40 shown in FIG. 16, some of the units being arranged in identical fold positions whereas others are in reversed relationship. The assembly therefore has a curved as well as a straight section. FIG. 18 is a side elevation of this assembly and FIG. 19 is a cross section of the same.
To illustrate the geometric principles of this joint formation, one joint is selected for closer analysis. The selected joint is between first component 40b, the inwardly facing surface of which is bounded by nodal points E, F, G and H, and second component 40c, shown by dotted lines and similarly bounded by nodal points E, F, K and L, which nodal points correspond in both cases to points 62, 63, 64 and 65, respectively, of component 40 in FIG. 16, herein also termed nodal points for convenience. The selected joint, with the rectangular surface shown shaded for greater emphasis, extends between points E and F, which are common to both components 40b and 40c.
Corner points E and G of the first component 40b are points on a first main reference circle 47b, shownby a phantom line, with R radius and with its center point P lying on the centerline 53 of the assemblys curved portion. Reference circle 47b lies in the plane of symmetry 46 of the unit and' fold line 41b constitutes a chord of the circle which subtends the angle v, here before referred to. The first main circle 47b also contains the apex J of an imaginary first pyramid of which the four side surfaces are coplanar with the four rectangular joint surfaces 60b of the first component 40b. In the case of a diamond-shaped folded component, as illustrated, apex J will be on a diameter 67 of the first main circle which passes through the midpoint of fold line 41b.
The corner points F and K of the second component 40c lie on a second main circle 470, shown by a dotted line, which is identical with and parallel to first main circle 47b and also has its center point T on centerline 53. The distance between center points P and T is one half of a components full width, the full width being measured as the length of reference line 68 extending between points H and F, or as the distance between points H and F, or E and L. The second main circle 47c also contains the apex M of an imaginary second pyramid, the four side su rfaces of which are coplanar with the four rectangular joint surfaces 600 of the second component 40c. Apex M is similarly located on a diameter of the second main circle 47c including the midpoint of fold line 41c.
The EF joint, which has been selected for the pur-' pose of illustration, comprises the laterally abutting rectangular joint surfaces 60b and 600 of the two adjoining components 40b and 40c, respectively. To provide a perfectly aligning, voidless joint, these surfaces 60b and 60c must theoretically be in the same plane when connected to each other; It can be readily shown that they are coplanar, since: (a) the joint surface 60b of the first unit 40b is coplanar with EFJ triangle; (b) the joint surface 60cof the second unit 40c is coplanar with EFM triangle; triangles EFJ and EFM are identical and their sides FJ and EM intersect at point S which lies on centerline 53 and is equidistant from points P and T; (d) EFJ triangle and EFM triangle have three common points, E, F and S, and are therefore coplanar themselves.
Since reversing the direction of the fold of component 40b will place a new joint surface 60b of component 40b in the identical position as the above described joint surface 60b, which new joint surface 60b then forms joint EF of triangle EFJ, it will be apparent that the surfaces'of joint EF will coincide regardless of the relative fold positions.
FIGS- 17, 18 and 19 also show how the triangular joint surfaces 61 of two laterally connecting units align with each other, regardless of the components relative fold positions. The two triangular joint surfaces 61 of each component are parallel to the units longitudinal plane of symmetry 56 and one comer or nodal point 63 of each triangular joint surface 61 is coincident with one comer or nodal point of the units concave side. Reversing the fold of unit 40b would merely reverse the position of the triangular surface 61 without disturbing the effectiveness of the joint. This will be evident from an inspection of component 40d of FIG. 17, which component is in reversed fold relation to unit 40b;
Modular dimensions A, B, C and D, as described above, apply to the convex side of a component having appreciable thickness, the type shown in FIG. 16. For example, the units length A is the length of the ridge fold line 4lb on the convex side of the component, the
V valley fold line 41c on the concave side becoming in- I spaced, parallel relationship with each other; however,.
creasingly longer as the units thickness increases. Similarly, where points, lines, surfaces and planes are referred to in describing and claiming these embodiments, withoutlimitation as to the thickness dimensions of the component, such references are in respect to the convex side of the units.
EXAMPLES OF JOINT STRUCTURES The geometric principlesof this invention, which determine both the components overall shape and the disposition of joint surfaces, are readily applicable to components of various constructions. Joints between components made of thin plates, shown in FIGS. 20 and 21 have already been mentioned. This joint per se forms no part of the present invention but it can be useful in connection with certain aspects of the present invention. In FIGS. 22 to 29 four different joint types are shown connecting components having an appreciable thickness, the even numbered figures pertaining to ridge joints, the odd numbered figures to coplanar joints. In the coplanar connections of some of the joints the connecting portions of the components are not exactly coplanar as their planes are inshghtly has the inclined, pyramidal disposition previously described.
FIGS. 22 and 23 show joints between components of the stressed skin type, having plywood skins 66 and wood framing members 52. The connecting surface portions of the components are held in connected relation to each other with folded joint plates 54 or planar 69 joint plates and with nails 70 driven through said joint plates and into the skin 66 and framing member 52. The same joint can be made releasable by using bolts and nuts instead of the nails, similarly to the joint shown in FIGS. and 21. Various known means, such as'resilient seal strips 71, 72, can be employed for increased weathering resistance, thermal insulation, and waterseal.
Joints between components made of reinforced concrete 75 are shown in FIGS. 24 and 25. Similar components may also be made of other, substantially homogeneous materials, such as organic and inorganic foams, various boards comprising suitable binders and fibrous or granular fillers, and the like. The peripheral metal framing members 76 also act as connection means and present abutting joint faces, the latter presenting opposed connecting surfaces which correspond to surfaces 60 of FIG. 16. These faces can be permanently welded, adhesive bonded or riveted to each other, or they may be releasably connected by means of bolts and nuts 77, as shown in FIGS. 24 and 25. To secure watertightness at the releasable joints, compressible elastomeric sealants 78 can be permanently attached to the suitably shaped framing members 76. After the bolts have been tightened, their access cavities 79 may be covered or filled with a suitable material, or they may remain exposed if properly waterproofed.
FIGS. 26 and 27 show joints between sandwich-type components, the components having two spaced, parallel skins 81 made of sheets of steel, aluminum, plywood, reinforced plastics and the like. Enclosed between the skins 81 is an insulating core 82 made of cellular concrete, honeycomb, polystyrene or polyurethane foam, or similar lightweight material, and a peripheral framing member 83 made of a suitable material having low thermal conductivity, such as wood or plastics. Each marginal portion of such component is suitably shaped at 81a and 81b to form connecting surface means for coaction with a pair of identical, folded lockstrips 84, made of metal, reinforced plastics or the like which are coextensive in length with a joint edge of the component. The lock-strips are in a parallel, spaced relationship, adjustibly connected to each other by a plurality of spaced bolts and nuts 85. Tightening the bolts and nuts 85 of an assembled joint compresses the lockstrips 84 against portions 81a, 81b of the component's inclined marginal surfaces, thereby drawing together the components into a tight joint connection, the framing members and the coacting portion of skins 8] in each component constitute connecting surface means. The coinciding surfaces of framing members 83 correspond to surfaces 60 of FIG. 16, while the bolts 85, being recessed into both abutting framing members 83, become very effective shear keys. A compressible elastomeric sealant 86 is permanently secured to the underside of the exterior lockstrip 84 to assure a watertight joint. FIG. 26 also illustrates the use of a bolt and nut 85 to secure a transversal stiffener member 87 to the assembled structure.
A functionally equivalent joint is shown in FIGS. 28 and 29 in which the connecting means on each component provides for line contact with the connecting means on the adjacent component and where the cylindrically shaped lockstrips 90 are recessed within the outside dimension of the components and are concealed by cover plates 91, 92 and 93. The fastening bolts 90awhich hold the lockstrip 90 may be formed integral with the lockstrips by welding the bolt heads to the lockstrip or in any other suitable manner to reduce labor costs in the field. The cover plates are folded, 91 and 92 for the ridge joint, flat, 93 for the coplanar joint, and they are of the snap-in type made of a resilient material such as steel or reinforced plastics. The components have two rigid skins 94, which may be translucent reinforced plastics and which are adhesive bonded to extruded framing members made of aluminum or reinforced plastics. Each of said framing members 95 has a marginal joint extension 96 forming a connecting surface means which is coextensive in length with the framing member 95 and which has suitably shaped con necting surfaces to engage the cylindrical lockstrips 90 when the joint is assembled. The geometric principles of this invention apply to the type of joints shown in FIGS. 28 and 29, for the connecting surface means of joint extensions 96 are symmetrically disposed relative to plane XX and plane XX must be perpendicular to the YY plane. It will be obvious that each pair of plate elements or skins 94, 94 of a component may be identical, with the frame member 95 accommodating for the discrepancy in size of the concave element. When two components are joined together in the joint illustrated in FIGS. 28 and 29, the actual contact, e.g., the transfer of internal forces, occurs along the line of contact between extensions 96 and to assure that all internal forces are concentric, the line of contact is preferably located in a plane Z--Z equally spaced from both facing skins. This line of contact is maintained in all variations of the releasable joint, regardless of the relative fold positions of the connecting components. The modular dimensions of the components are measured in the plane Z--Z and therefore the length of the free edges of the components in FIGS. 28 and 29 becomes the length of the line of contact between extensions 96. To enable the joint faces to make line contact when the locking bolts 90a are placed between the joint faces, the joint faces are provided with a plurality of spaced small vertical recesses 90b, each of the recesses having a substantially cylindrical inner surface, similar to but slightly larger than the locking bolt 90a. The recesses 90b are spaced identically with the lock bolts 90a so that each recess, togetheR with the identical opposite recess of the abutting joint face of an extension 96 is capable of receiving the lock bolt when the joint is assembled.
It is a most significant advantage of the recesses 90 that when the recesses engage with the lock bolts 90a the recesses become very effective shear keys. Shear forces are especially dominant in the coplanar joints of assemblies as shown in FIG. 29, in which assemblies the entire coplanar joint becomes a very effective diagonal shear reinforcement.
It is a novel feature of the releasable joint of FIGS. 28 and 29 that when the joint is locked to provide structural continuity between the connected units, the joint neoprene,
becomes, at the same time, automatically and completely sealed against moisture penetration from the exterior. This is. accomplished by means of a suitably shaped, elongated elastomeric gasket 900 made of a permanently elastIc material, such as polysulphide', or silicone rubber, said elastomeric gasketbeing permanently bonded to the inner or concave side of the exterior lock strip 90.
As seen in FIGS. 30 and 31, the marginal joint extensions or connecting surface means of single skin components may be merely flat flanges 97 disposed in plane XX and the lockstrips then become a pair of flat joint plates 98. Since such flat joint plates 98 do not have the mechanical interlocking capability of the nonplanar lockstrips seen in the previous examples, the flat joint plates 98 require two rows of bolts and nuts 99. An advantage of this joint over the one shown in FIGS. and 21 is that since the flanges 97 of adjoining components are always in plane X--X regardless of the components relative fold positions, the same flat joint plates 98 can be used for both coplanar and ridge joints.
A preferred joint for single skin components is shown in FIGS. 32 and 33, requiring no joint plates and only one row of bolts and nuts. In this type of joint the joint flanges or connecting surface means 100 of two adjoining components are overlapping in plane XX and are secured to each other by bolts and nuts 101. Moisture penetration through the joint is prevented by a compressible elastomeric sealant 102 which is either adhesive bonded to the extreme periphery of the flanges 100, as shown in FIGS. 32 and 33, or is provided in the form of a strip and is placed between the joint flanges. For the thermal insulation of single skin structures various flexible insulating liners, suspended boards,
sprayed-on foams and other known means can be readily adopted.
In the joint structures of FIGS. 30-33 inclusive, the connecting surface means 97 and 100 are substantially coplanar with plane X-X which is perpendicular to Plane YY. Since the connecting surface means, as distinguished from the connecting surfaces per se, necessarily have some body or thickness, it is more accurate to consider that each connecting surface means have a plane of symmetry which is spaced from and parallel to plane XX of the connecting surface per se. Nevertheless this plane of symmetry is of course perpendicular to plane YY. Also, in some cases, as in the joint structures of FIGS. 26 to 29 inclusive, the connecting surfaces per se are not necessarily planar but the plane of symmetry of the surface portions 81a, 81b of the connecting surface .means in FIGS. 26 and 27 and arcuate surface portions 96a of connecting surface means 96 in FIGS. 28 and 29 must in such case be perpendicular to plane YY.
It follows from the foregoing that the connecting surface means of FIGS. 24 to 33 which are associated with one free side of a triangular portion 43 (see FIG. 1) each incorporate fastening element means, such as the means forming the bolt holes in FIGS. 24, and 30 to 33 inclusive and the specially shaped surface portions 81a and 96a of FIG. 26 and FIG. 28, respectively, which are complementary in shape and position to fastening element means incorporated in the connecting surface means associated with that the first free side of the other triangular portion 43 which adjoins the first free side at the longitudinal nodal point, whereby contiguous structural components in the assembled structure can be connected together in either identical or reversed fold position by connection means, such as bolts 77 of FIG. 24, elements 84, of FIG. 26, element 90, a of FIG. 28, bolts 99 of FIG. 30 and bolts 101 of FIG. 32, which cooperate with the associated fastening element means.
FIG. 34 shows a part curved, part straight structural assembly of a plurality of single skin components with overlapping flange type joints, illustrating that the basic geometric principles of this invention apply to single skin components as well as to components having an appreciable thickness. The main circle 47d taken through nodal points E and G of a selected component 40f also contains apex J of the imaglnary pyramid of the unit 40F, and each of the four joint flanges of the component 40f is perpendicular to the corresponding side of the pyramid. For instance, the joint flange 100 extending between points E and F is perpendicular to the BF] triangle, the flange extending between points E and H is perpendicular to the EI-IJ triangle, and so on. Consequently, each pair ofjoint flanges 100 Which meet atone end of the fold line 41f, such as the two joint flanges 100 extending from E to F and from E to H, lie in the same plane, this plane being perpendicular to line EJ in the case of the two said joint flanges.
The structures strength and stability may require that the number of bolts at each joint may be more than three, and that a plurality of bolts be grouped together near the ends of the Joint flanges 100. FIG. 35 shows, by way of illustration, three bolts 105 grouped together using a common washer plate 106, which is preferably made of galvanized steel and is provided with an elastomeric sealant liner (not shown) when used on the outside of the joint. Furthermore, the individual bolts may be incorporated into a multiple connector member 108, as shown in FIG. 36, preferably made as a single steel casting and including elastomeric sealant liner 109 where member 108 is to be used on the outside of the joint. Since the bolts of such multiple connector member 108 are subjected to considerably greater shear than axial tension, some of the bolts may be left unthreaded, as shown in FIG. 36,. to act only as shear dowels. It is self evident that further combinations of two or four such adjacent multiple shear connectors into a single casting are also possible, the combination of four such connectors providing a single nodal con nector for the ends of all four joint flanges 100 which terminate at the same nodal point.
As an alternate end formation of a single skin component, the three fold lines which are converging to a longitudinal noda'l point of the component may be terminated at a distance from that nodal point by rounding off the fold lines gradually as shown in FIG. 35 to avoid overstressing in the nodal area. Instead of having a sharp fold, the long fold line 41 may be bent with a radius, or as shown in FIG. 35, a valley plane 110 may also be formed along the long fold line. The term folded" as used in this specification andappended claims embraces these departures from a. folded configuration in the strict sense.
ALTERNATIVE JOINTS AND CONSTRUCTION METHODS The various joints described and shown herein represef'nt by way of illustration only a few of the possible embodiments of this invention which will enable those skilled in the art to find similar joints for the reversible connection of folded diamond components.
Simple combinations of the illustrated joints may yield useful results, for instance the flange-type joint described for single-skin components can be adopted for double skin components as well.
I have discovered that where a closed joint is desired in folded plate constructions using plates of appreciable thickness, with each unit having a single joint surface along each side, there are only two abutting surface-to-surface connections possible. In one case, with the adjacent units connected in identical fold relationship, each single joint surface must be a hyperbolic paraboloid surface. Such joints are practical where the folded plate is formed of molded homogeneous material and perhaps in some other situations and where only cylindrical surface structures are desired, but for most commercial applications Joints embodying the principles already described are far superior in respect to component manufacturing problems, erection problems and strength and permanence of the completed structure.
In the second case, where folded plate components having appreciable thickness are to be joined together with the fold angles facing alternately in the same direction and in reversed direction, the adjacent folded plate components can be joined in a closed satisfactory joint by forming the contiguous marginal portions-of adjacent components as planar surfaces, the planar surfaces of noncontiguous sides of each component being in parallel planes, thereby forming prismatic shaped components. Of course this differs from the earlier described embodiments in which the planes are slightly inclined toward one another. Here again, since the folded plate components must in such case be connected with the fold angle facing alternately in the same direction and reversed direction and since the other desirable aspects of the various joints illustrated and described are lacking, this prismatic-type joint is not preferred.
The components may be strengthened with framing, internal grids, ribs, by corrugating the skins, and by other similar, conventional means. Longitudinal half units may be provided with additional means along their longest edge for further strength, or to facilitate the connection of end walls, which may be of any conventional design, but may also be assembled from folded diamond components.
SPACE FRAME To increase the structures strength and stiffness in the direction perpendicular to the components fold lines 41, transversal stiffener members may be secured to the structures nodal points 45. The stiffener members may be cables if they are subject to tension only, however, they are generally made of a tube 87 as seen in FIG. 30 or of angle or channel shape. The transversal stiffener members may be used in short lengths to reinforce the folds of the marginal units at the structures free edges only, or they may be continuous from one end of the structure to the other. If such continuous stiffeners 87 are used at every row of nodal points 45 of a structure, they effectively convert the essentially folded plate structure into a space frame, thereby not only increasing structural strength in the direction of the folds, but enabling the structure to carry its loads in the transversal direction as well, so that the structure may be supported at comer points only and it may be subjected to concentrated loads applied at the nodal points. FIG. 37 is a perspective view of such a horizontal, flat space frame assembly. All the various structural configurations of this invention can be similarly converted into space frames by the use of transversal stiffener members 87.
The loadbearing capabilities of flat structural assemblies can be substantially increased by the use of tensioning cables 112, attached to the underside of the structure as shown in FIG. 38, and post-tensioned after the structure has been assembled. The initial stresses caused by such post-tensioning force are the opposite of those caused by external loading and therefore the two types of stresses will tend to cancel out each other. Post-tensioning also reduces deflections due to heavy snow load, by creating an initial upward curvature or camber. This camber also facilitates drainage of the roof.
Because of their exceptional economy and stiffness against deflections when they are built for long spans, the use of space frames is rapidly increasing. Space frames of the prior art can generally be utilized as supporting structural framework only, requiring an additional, superimposed roof to provide weathershield, thermal insulation, space separation, etc. The space frames of this invention satisfy all functional requirements simultaneously and offer enclosed spaces which are weathertight and habitable immediately upon assembly. Furthermore, the folded plate action gives increased buckling resistance for the compression members in the direction of the folds. Therefore such members can be made longer and the nodal points can be spaced farther apart; allowing a corresponding reduction in the number of transversal members as well. A further advantage is a higher degree of prefabrication under controlled factory conditions and greater savings in labor than was made possible by the prior art, since the components of this invention combine a number of individual frame members, roofing elements and means for thermal insulation and waterseal into a single, multi-purpose, factory-finished component.
USES, ERECTION, GENERAL ADVANTAGES The uses for which the various structures of this invention can be build are numerous. In addition to building type enclosures and portions thereof, such as walls and roofs, the uses include revetments, retaining walls, cantilevered canopies, tunnels, culverts, and other underground constructions, earth covered shelters, tanks for liquids and bridges both elevated and floating. Toys and scale models for demonstration, testing instruction and amusement can also incorporate the principals of my invention. For all these various uses a single type of folded diamond component can be standardized and mass produced without having to standardize the structures themselves. For ultimate material economy, the dimensionally identical, interchangeable components can be manufactured in several different strength grades. For instance, single skin steel components may be made of plates having different ultimate stress or different thickness, without changing either the manufacturing or the erection process. The components simple, nesting shape requires minimum shipping or storage space.
Assembly of the various structures is extremely simple, many can be assembled from a single drawing or photograph, requiring little or no field measurements, special tools or heavy lifting equipment. The structures can be assembled entirely on the ground, tilted up gradually as assembly progresses, or lifted up after assembly is completed; therefore the need for temporary erection scaffolding or shoring is reduced or altogether eliminated.
It will be apparent that some of the advantages of the present invention can be achieved in the field inthe erection of folded plate component structures by utilizing components having any desired marginal configuration and accommodating these components to one another in the erection of structuresby using adapters between contiguous marginal portions of such components.
The term coplanar is used to describe planes which coincide with each other or are in closely spaced parallel relation, where the spacing between the planes is inconsequential relative to the principles of the present invention. The term parallel is used in respect to planes where the planes are exactly parallel or practically so for purposes of the principles of the present invention.
The plane of symmetry which includes the fold line of each of the folded diamond components making up the illustrated structures is vertically disposed, i.e., in perpendicular relation to a horizontal plane. However,
it will be obvious that the components can be used in structures where these planes of symmetry are disposed horizontally or at an angle to the vertical or the I horizontal. In any event contiguous components will obviously have their planes of symmetry disposed in perpendicular relation to a single plane, whether a horizontally, vertically or otherwise disposed plane. Therefore in the claims the disposition of the planes of symmetry of the components making up structures in accordance with the teachings of the applicants invention is defined as being perpendicular to a common reference plane.
Iclaim:
l. A structural component comprising:
a. a symmetrical quadrilateral shaped plate member folded along a diagonal to form two similar triangular portions which adjoin each other along the fold line and lie in planes disposed at equal angles to the plane of symmetry of the component which includes the fold line, the plane of symmetry being considered to be vertically disposed for the purposes of this claim,
. each triangular portion having two apices in common with the other triangular portion at the fold line to form longitudinal nodal points of the component,
. the third apex of each triangular portion forming a transverse nodal point on the associated side of the component, both third apices lying on a first straight reference line, having a midpoint midway between thethird apices,
d. each triangular portion having free sides joining the transverse nodal point and the longitudinal nodal points,
the longitudinal nodal points of the component falling on the circumference of a reference circle which lies in said plane of symmetry of the component, whereby the fold line of the component constitutes a chord A of the reference circle which subtends an angle v of not more than at the center of the reference circle,
. a reference point on the circumference of the reference circle formed by extending a straight line from the midpoint of the first straight reference line through the center of the circle to a point of intersection with the circumference of the reference circle on the side of the circle away from the fold line,
g. four intersecting reference planes, each reference plane including the reference point and a different 7 2. The structural component of claim 1 in which:
i. the folded plate member comprises a pair of spaced plate elements one plate element forming a concave surface of the member and the other plate element forming a convex surface of the member,
j. the plate elements are positioned with their associated triangular portions in parallel relation, and
k. the plate elements have corresponding marginal portions along the free sides terminating in the respective associated .intersecting reference planes.
3. The structural component of claim 2 in which:
1. a spacing means closes the space between the marginal portions of the plate elements to form part of the plate member,
m. the plate member marginal portions are rectangu lar planar surfaces, and
the plate member includes at each transverse nodal point 'a triangular shaped planar surface lying in a plane parallel to the first reference plane, each transverse nodal point on the component's convex side coinciding with one apex of the corresponding triangular shaped planar surface.
The structural component of claim 2 in which:
. the connecting surface means comprise integral marginal portions of the plate elements.
. The structural component of claim 2 in which:
rigid frame means connect the plate elements together along marginal portions of the plate elements, and i the connecting surface means of limitation (h) are carried by the rigid frame means.
6. The structural component of claim 5 but limited l. each connecting surface means comprising a surface coplanar with the associated intersecting reference plane.
7. The structural component means of claim 1 but limited to i. the connecting surface means having a plane of symmetry which is perpendicular to the associated intersecting reference plane.
8. The structural component of claim 1 in which 7 i. the two connecting surface means associated with free sides which adjoin at a longitudinal nodal point each include fastening element means, each said element means being complementary to the other in shape and positioned relative to the associated connecting surface means so that fastening element means of contiguous structural components in an assembled structure can be fastened together in either identical or reversed fold position.
9. The structural component of claim 8 in which j. each said fastening element means have a plane of symmetry which is perpendicular to the associated intersecting reference plane.
10. The structural component of claim 1 in which:
i. the triangular portions of the plate member are formed of homogeneous material.
1 l. The structural component of claim 10 in which:
j. the triangular portions of the plate member are relatively thick,
k. the marginal portions along the free sides of each triangular portion are rectangular planar surfaces which are coplanar with the associated intersecting reference planes, and I. each triangular portion includes at the transverse nodal point a triangular shaped planar surface lying in a plane parallel to said plane of symmetry of the component, the transverse nodal point on the components convex side coinciding with one apex of the triangular shaped planar surface. l2.-The structural component of claim 10 in which:
j. each connecting surface means comprise an integral extension of the plate member having two surfaces lying in planes which are perpendicular to the associated intersecting reference plane.
13. The structural component of claim 12 in which:
k. the two surfaces of a connecting surface means terminate in a free edge,
1. a resilient sealing member extends around the free edge and snugly engages at least the marginal portions of the two surfaces.
14. The structural component of claim 13 in which:
m. a resilient enlargement is carried by the sealing member contiguous to and beyond the free edge of the connecting surface means.
15. The structural component of claim 10in which:
j. the triangular portions of the plate member are relatively thick, and I k. the connecting surface means comprise integral marginal portions of the triangular portions.
16. The structural component of claim 10 in which:
j. the triangular portions of the plate member are relatively thin, and k.- each connecting surface means project beyond the associated marginal portions of the triangular portions and have a plane of symmetry which is perpendicular to the associated intersecting reference plane.
17. The structural component of claim 10 in which:
j. the triangular portions of the plate member are relatively thick, and
k. each connecting surface means comprise a surface coplanar with the associated intersecting reference plane.
18. A structural component comprising:
a. a symmetrical quadrilateral shaped plate member folded along a diagonal of symmetry to form two similar triangularportions which adjoin each other along the fold line and lie in planes disposed at equal angles to the plane of symmetry of the component which includes the fold line, the plane of symmetry being considered to be vertically disposed for the purposes of this claim,
b. each triangular portion having two apices in common with the other triangular portion at the fold line to form longitudinal nodal points of the component,
c. the third apex of each triangular portion forming a transverse nodal point on the associated side of the component,
d. each triangular portion having a first free side and a second free side joining the transverse nodal point and the longitudinal nodal points, the first free sides of the triangular portions being contiguous and equal in length and the second free sides of the triangular portions being contiguous and equal in length,
e. first connect-ing surface means associated with each of the first free sides of the triangular portions, each of the first connecting surface means either lying in a plane perpendicular to, or having a plane of symmetry coplanar with, a common reference plane which includes both of the first free sides, and
f. second connecting surface means associated with each of the second free sides of the triangular portions, each of the. second connecting surface means either lying in a plane perpendicular to, or having a plane of symmetry coplanar with, a second common reference plane which includes both of the second free sides,
g. the first free side and the second free side of each triangular portion being of unequal length whereby the plate member is symmetrical onlyin respect to said plane of symmetry of the component.
19. The structural component of claim 18 but limited h. each of the connecting surface means having a plane of symmetry which is perpendicular to the associated common reference plane. 20. A structural component comprising:
' a. a symmetrical quadrilateral shaped plate member folded along a diagonal of symmetry to form two similar triangular portions which adjoin each other along the Fold line and lie in intersecting planes disposed at equal angles to the plane of symmetry of the component which includes the fold line,
b. a marginal portion on each free side of each triangular portion,
0. connecting surface means on each marginal portion, each such connecting surface means being structurally complementary to each of the other connecting surface means for connection with contiguous connecting surface means of one of a plurality of contiguous corresponding components in either one of only two positions, one position being with two associated triangular portions of the structural component and a contiguous corresponding structural component lylng in substantially the same plane, the other position being with two associated triangular portions of the structural component and another contiguous corresponding structural component disposed at an angle to one another such that said plane of symmetry of the structural component and said plane of symmetry of the other contiguous corresponding structural component are both perpendicular to a common reference plane,
. spaced, parallel upper and lower faces on each triangular portion,
. an outwardly projecting elongated peripheral extension member carried by each of the free sides and forming part of the associated marginal portion,
f. each peripheral extension member including an enlargement in cross section which is shaped and disposed substantially the same as each of the enlargement on the peripheral extensions carried by the other free sides,
to and equally spaced from the upper and lower faces of the associated triangular portion,
h. each enlargement having inwardly facing convergtwo contiguous components us claimed in claim 20 in which:
. each enlargement having an outwardly facing suri. the two abutting peripheral extension members of the contiguOus components are fastened together by a pair of elongated fastening elements, each pair of fastening elements having a longitudinally extending concavity with the concavities of each pair of fastening elements in opposed relation to one another and In clamping relation with the converging portions of the associated peripheral extension members.
22. The joint claimed in claim 21 in which:
j. one fastening element of each pair has a plurality 0F spaced cylindrical bolts each with a threaded end portion, each bolt being permanently secured at its other end in perpendicular relation to the concave side of the fastening element along the center line of the fastening; element, the other fastening element having cylindrical holes drilled along the center line thereof, the holes being slightly larger than the bolts the holes being 7 identically spaced with the bolts, the bolts being recelved in the holes and the projecting threaded ends of the bolts being screw threadedly engaged with threaded nuts,
j. one of the fastening elements having an elongated elastomeric gasket permanently secured to the concave side of the one fastening element.
Claims (22)
1. A structural component comprising: a. a symmetrical quadrilateral shaped plate member folded along a diagonal to form two similar triangular portions which adjoin each other along the fold line and lie in planes disposed at equal angles to the plane of symmetry of the component which includes the fold line, the plane of symmetry being considered to be vertically disposed for the purposes of this claim, b. each triangular portion having two apices in common with the other triangular portion at the fold line to form longitudinal nodal points of the component, c. the third apex of each triangular portion forming a transverse nodal point on the associated side of the component, both third apices lying on a first straight reference line, having a midpoint midway between the third apices, d. each triangular portion having free sides joining the transverse nodal point and the longitudinal nodal points, e. the longitudinal nodal points of the component falling on the circumference of a reference circle which lies in said plane of symmetry of the component, whereby the fold line of the component constitutes a chord A of the reference circle which subtends an angle v of not more than 90* at the center of the reference circle, f. a reference point on the circumference of the reference circle formed by extending a straight line from the midpoint of the first straight reference line through the center of the circle to a point of intersection with the circumference of the reference circle on the side of the circle away from the fold line, g. four intersecting reference planes, each reference plane including the reference point and a different free side of the component, and h. connecting surface means associated with each free side of the component, each of the connecting surface means being similarly positioned relative to the associated intersecting reference plane so as to be either coplanar with the associated intersecting reference plane or have a plane of symmetry which is perpendicular to the associated intersecting reference plane.
2. The structural component of claim 1 in which: i. the folded plate member comprises a pair of spaced plate elements with one plate element forming a concave surface of the member and the other plate element forming a convex surface of the member, j. the plate elements are positioned with their associated triangular portions in parallel relation, and k. the plate elements have corresponding marginal portions along the free sides terminating in the respective associated intersecting reference planes.
3. The structural component of claim 2 in which: l. a spacing means closes the space between the marginal portions of the plate elements to form part of the plate member, m. the plate member marginal portions are rectangular planar surFaces, and n. the plate member includes at each transverse nodal point a triangular shaped planar surface lying in a plane parallel to the first reference plane, each transverse nodal point on the component''s convex side coinciding with one apex of the corresponding triangular shaped planar surface.
4. The structural component of claim 2 in which: j. the connecting surface means comprise integral marginal portions of the plate elements.
5. The structural component of claim 2 in which: j. rigid frame means connect the plate elements together along marginal portions of the plate elements, and k. the connecting surface means of limitation (h) are carried by the rigid frame means.
6. The structural component of claim 5 but limited to: l. each connecting surface means comprising a surface coplanar with the associated intersecting reference plane.
7. The structural component means of claim 1 but limited to i. the connecting surface means having a plane of symmetry which is perpendicular to the associated intersecting reference plane.
8. The structural component of claim 1 in which i. the two connecting surface means associated with free sides which adjoin at a longitudinal nodal point each include fastening element means, each said element means being complementary to the other in shape and positioned relative to the associated connecting surface means so that fastening element means of contiguous structural components in an assembled structure can be fastened together in either identical or reversed fold position.
9. The structural component of claim 8 in which j. each said fastening element means have a plane of symmetry which is perpendicular to the associated intersecting reference plane.
10. The structural component of claim 1 in which: i. the triangular portions of the plate member are formed of homogeneous material.
11. The structural component of claim 10 in which: j. the triangular portions of the plate member are relatively thick, k. the marginal portions along the free sides of each triangular portion are rectangular planar surfaces which are coplanar with the associated intersecting reference planes, and l. each triangular portion includes at the transverse nodal point a triangular shaped planar surface lying in a plane parallel to said plane of symmetry of the component, the transverse nodal point on the component''s convex side coinciding with one apex of the triangular shaped planar surface.
12. The structural component of claim 10 in which: j. each connecting surface means comprise an integral extension of the plate member having two surfaces lying in planes which are perpendicular to the associated intersecting reference plane.
13. The structural component of claim 12 in which: k. the two surfaces of a connecting surface means terminate in a free edge, l. a resilient sealing member extends around the free edge and snugly engages at least the marginal portions of the two surfaces.
14. The structural component of claim 13 in which: m. a resilient enlargement is carried by the sealing member contiguous to and beyond the free edge of the connecting surface means.
15. The structural component of claim 10 in which: j. the triangular portions of the plate member are relatively thick, and k. the connecting surface means comprise integral marginal portions of the triangular portions.
16. The structural component of claim 10 in which: j. the triangular portions of the plate member are relatively thin, and k. each connecting surface means project beyond the associated marginal portions of the triangular portions and have a plane of symmetry which is perpendicular to the associated intersecting reference plane.
17. The structural component of claim 10 in which: j. the triangular portions of the plate member are relatively thick, and k. each connecting surface means comprise a surface coplanar with the associated intersectinG reference plane.
18. A structural component comprising: a. a symmetrical quadrilateral shaped plate member folded along a diagonal of symmetry to form two similar triangular portions which adjoin each other along the fold line and lie in planes disposed at equal angles to the plane of symmetry of the component which includes the fold line, the plane of symmetry being considered to be vertically disposed for the purposes of this claim, b. each triangular portion having two apices in common with the other triangular portion at the fold line to form longitudinal nodal points of the component, c. the third apex of each triangular portion forming a transverse nodal point on the associated side of the component, d. each triangular portion having a first free side and a second free side joining the transverse nodal point and the longitudinal nodal points, the first free sides of the triangular portions being contiguous and equal in length and the second free sides of the triangular portions being contiguous and equal in length, e. first connecting surface means associated with each of the first free sides of the triangular portions, each of the first connecting surface means either lying in a plane perpendicular to, or having a plane of symmetry coplanar with, a common reference plane which includes both of the first free sides, and f. second connecting surface means associated with each of the second free sides of the triangular portions, each of the second connecting surface means either lying in a plane perpendicular to, or having a plane of symmetry coplanar with, a second common reference plane which includes both of the second free sides, g. the first free side and the second free side of each triangular portion being of unequal length whereby the plate member is symmetrical only in respect to said plane of symmetry of the component.
19. The structural component of claim 18 but limited to h. each of the connecting surface means having a plane of symmetry which is perpendicular to the associated common reference plane.
20. A structural component comprising: a. a symmetrical quadrilateral shaped plate member folded along a diagonal of symmetry to form two similar triangular portions which adjoin each other along the Fold line and lie in intersecting planes disposed at equal angles to the plane of symmetry of the component which includes the fold line, b. a marginal portion on each free side of each triangular portion, c. connecting surface means on each marginal portion, each such connecting surface means being structurally complementary to each of the other connecting surface means for connection with contiguous connecting surface means of one of a plurality of contiguous corresponding components in either one of only two positions, one position being with two associated triangular portions of the structural component and a contiguous corresponding structural component lyIng in substantially the same plane, the other position being with two associated triangular portions of the structural component and another contiguous corresponding structural component disposed at an angle to one another such that said plane of symmetry of the structural component and said plane of symmetry of the other contiguous corresponding structural component are both perpendicular to a common reference plane, d. spaced, parallel upper and lower faces on each triangular portion, e. an outwardly projecting elongated peripheral extension member carried by each of the free sides and forming part of the associated marginal portion, f. each peripheral extension member including an enlargement in cross section which is shaped and disposed substantially the same as each of the enlargement on the peripheral extensions carried by the other free sides, g. each enlargement having an outwardly facing surface portion convex in cross section, the convex surface portion of each peripheral extension member being the extreMe peripheral face of the associated free side, the center line of each convex surface portion being in a reference plane parallel to and equally spaced from the upper and lower faces of the associated triangular portion, h. each enlargement having inwardly facing converging surface portions on each side of the reference plane which are arcuate in cross section and symmetrically shaped and disposed relative to one another.
21. A releasable watertight structural joint between two contiguous components us claimed in claim 20 in which: i. the two abutting peripheral extension members of the contiguOus components are fastened together by a pair of elongated fastening elements, each pair of fastening elements having a longitudinally extending concavity with the concavities of each pair of fastening elements in opposed relation to one another and In clamping relation with the converging portions of the associated peripheral extension members.
22. The joint claimed in claim 21 in which: j. one fastening element of each pair has a plurality oF spaced cylindrical bolts each with a threaded end portion, each bolt being permanently secured at its other end in perpendicular relation to the concave side of the fastening element along the center line of the fastening element, the other fastening element having cylindrical holes drilled along the center line thereof, the holes being slightly larger than the bolts, the holes being identically spaced with the bolts, the bolts being receIved in the holes and the projecting threaded ends of the bolts being screw threadedly engaged with threaded nuts, j. one of the fastening elements having an elongated elastomeric gasket permanently secured to the concave side of the one fastening element.
Applications Claiming Priority (3)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US53782966A | 1966-03-28 | 1966-03-28 | |
US78984569A | 1969-01-08 | 1969-01-08 | |
US10916971A | 1971-01-25 | 1971-01-25 |
Publications (1)
Publication Number | Publication Date |
---|---|
US3729876A true US3729876A (en) | 1973-05-01 |
Family
ID=27380610
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
US00109169A Expired - Lifetime US3729876A (en) | 1966-03-28 | 1971-01-25 | Structural component and structures comprising the same |
Country Status (1)
Country | Link |
---|---|
US (1) | US3729876A (en) |
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US3958375A (en) * | 1974-04-01 | 1976-05-25 | Tully Daniel F | Prefabricated hyperbolic paraboloid roof |
US4058945A (en) * | 1974-04-04 | 1977-11-22 | Knapp Ronald H | Pressure and buckling resisting undulated polyhedral shell structure |
US4112639A (en) * | 1976-02-19 | 1978-09-12 | Az0-Maschinenfabrik Adolf Zimmermann | Shell silo |
US4538886A (en) * | 1983-04-19 | 1985-09-03 | Stellar Energy Ststems, Inc. | Circular arc solar concentrator |
US4579106A (en) * | 1983-04-19 | 1986-04-01 | Stellar Energy Systems, Inc. | Solar collector with drive system |
US4587951A (en) * | 1983-04-19 | 1986-05-13 | Stellar Energy Systems, Inc. | Circular arc solar concentrator |
US4821471A (en) * | 1987-06-12 | 1989-04-18 | 501 Diamond Arch Systems Canada Inc. | Building panel |
US5331780A (en) * | 1990-12-24 | 1994-07-26 | Tully Daniel F | Hyperbolic paraboloid roof and sidewall system |
NL1012457C2 (en) * | 1999-06-28 | 2001-01-02 | Tno | Folding hall. |
US20040224273A1 (en) * | 2002-03-22 | 2004-11-11 | Masanobu Inomata | Burner |
US7389612B1 (en) * | 2001-08-09 | 2008-06-24 | Fischbeck Richard D | Geodesic structure |
ITBZ20110062A1 (en) * | 2011-12-30 | 2013-07-01 | Martin Riegler | STRUCTURE FOR CONSTRUCTION COMPOSED BY MODULAR ELEMENTS. |
US20150121772A1 (en) * | 2009-12-23 | 2015-05-07 | Liberty Diversified International, Inc. | System and method for structure design |
US20160138259A1 (en) * | 2009-12-23 | 2016-05-19 | Liberty Diversified International, Inc. | System and method for structure design |
USD794219S1 (en) * | 2016-04-26 | 2017-08-08 | Biotekt Usa, Llc | Modular building roof panel |
US10465376B1 (en) * | 2016-06-28 | 2019-11-05 | Charles Hoberman | Construction method for foldable polyhedral enclosures |
USD1000638S1 (en) * | 2013-10-17 | 2023-10-03 | Dolby Laboratories Licensing Corporation | Theater |
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Publication number | Priority date | Publication date | Assignee | Title |
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US20150121772A1 (en) * | 2009-12-23 | 2015-05-07 | Liberty Diversified International, Inc. | System and method for structure design |
US20160138259A1 (en) * | 2009-12-23 | 2016-05-19 | Liberty Diversified International, Inc. | System and method for structure design |
US9896835B2 (en) * | 2009-12-23 | 2018-02-20 | 3Form, Llc | System and method for structure design |
ITBZ20110062A1 (en) * | 2011-12-30 | 2013-07-01 | Martin Riegler | STRUCTURE FOR CONSTRUCTION COMPOSED BY MODULAR ELEMENTS. |
USD1000638S1 (en) * | 2013-10-17 | 2023-10-03 | Dolby Laboratories Licensing Corporation | Theater |
USD794219S1 (en) * | 2016-04-26 | 2017-08-08 | Biotekt Usa, Llc | Modular building roof panel |
US10465376B1 (en) * | 2016-06-28 | 2019-11-05 | Charles Hoberman | Construction method for foldable polyhedral enclosures |
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