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Design of Bearing For Beam B21: y X CK CK

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The document discusses the design of a bearing plate for a beam including dimensions, material properties, and stress calculations.

The bearing plate has a length of 700mm, width of 300mm and thickness of 91mm. It is made of steel with a yield strength of 30MPa.

The maximum vertical load is 1469.7kN and maximum horizontal load is 741.001kN as seen in the force tables on pages 6 and 7.

Design of bearing for beam B21

Maximum factored vertical load F y = 1469.7 kN


Maximum factored axial load F x = 0.0 kN
fck = 30 MPa
Permissible bearing stress = 0.45 f ck = 13.5 MPa

Length of bottom plate L = 700 mm


Width of bottom plate B = 300 mm

Thickness of plates, t = 91 mm
(P3, P4, P5, P6 welded together)

Actual bearing stress sb = Fy/(L x B) = 7.0 MPa < 13.5 OK

Width of beam, bf = 300 mm

Outstand of bottom plate beyond beam l = (700 - 300)/2 = 200 mm


BM in outstand M = sb x B x l2/2 = 42.0 kN.m
Shear in outstand V = sb x B x l = 419.9 kN

Plastic modulus of plate Zp = Bt2/4 = 621075 mm3


Yield stress fy = (𝐵×𝑡×𝑓_𝑦 230 MPa
)/(𝛾_𝑚0
gm0 = √3)= 1.1
Design shear strength Vd = 3295.6 kN

V<0.6 Vd. Hence, bending strength Md= bbZpfy/gm0


bb = 1.0. Hence, Md = 129.9 kN.m > 42.0 OK

The top plate of the bearing is not subjected to bending or shear. Hence, nominal thickness is provided.

For bottom plate:


Bolt diameter = 36 mm
Hole diameter = 39 mm
Property class of bolt 8.8
Bolt shank area = 1017.9 mm2
Thread pitch = 4 mm
Net area of bolt = 816.7

Ultimate stress of bolt fu = 830 MPa


Yield stress of bolt = 640 MPa

nn = 0
𝑉_𝑑𝑠𝑏=𝑓_𝑢/(𝛾_𝑚𝑏 √3) (𝑛_𝑛 𝐴_𝑛𝑏+𝑛_𝑠 𝐴_𝑠𝑏 )=
ns = 1
gmb = 1.25

Bolt strength 390.2 kN

Provide 2 Nos. bolts


Shear strength = 780.4 kN > 0.0 OK

Bolt bearing against concrete


Bolt length in concrete Lb = 150 mm
Bolt strength in bearing = Nb db Lb x 0.45 fck = 145.8 kN > 0.0 OK

Shear keys of dimension 40 x 40 x 150 LG are also provided below the bearing plate

Design of lead plate


A lead plate is sandwiched between the top and bottom plates so as to allow free rotation.
Permissible bearing
*Mark’s standard stress in for
handbook leadmechanical
= 9 MPa
engineers, 2007, pg.6-10.
Plate length = 500 mm
Plate width = 220 mm
Thickness = 3 mm
Beam depth = 1400 mm
Beam span =
h' (lever arm of force) = 700 mm

Bearing area = 0.11 m2


Z = BL2/6 = 0.009 m3

Forces tabulated below are factored. Hence the final stresses shall be divided by factor 1.5

Node L/C FX P=FY FZ MX MY MZ P/A/1.5 Check


(kN) (kN) (kN) (kN.m) (kN.m) (kN.m) (MPa)
1 104 0 1461.794 0 -0.105 0 0 8.859358 OK
46 106 -18.843 741.001 -24.957 0 0 0 4.490915 OK
34 104 0 1469.652 0 0.15 0 0 8.906982 OK
1 105 0 741.001 0 -0.05 0 0 4.490915 OK
1 104 0 1461.794 0 -0.105 0 0 8.859358 OK
1 106 0 741.001 -26.229 -0.05 0 0 4.490915 OK
34 104 0 1469.652 0 0.15 0 0 8.906982 OK
1 104 0 1461.794 0 -0.105 0 0 8.859358 OK
1 104 0 1461.794 0 -0.105 0 0 8.859358 OK
1 104 0 1461.794 0 -0.105 0 0 8.859358 OK
1 104 0 1461.794 0 -0.105 0 0 8.859358 OK
1 104 0 1461.794 0 -0.105 0 0 8.859358 OK
CHECK: OK
104 0
106 0
104 0
105 0
104 0
106 0
104 0
104 0
104 0
104 0
104 0
104 0
Max Fx 1 104 0 1461.794 0 -0.105 0 0
Min Fx 46 106 -18.843 741.001 -24.957 0 0 0
Max Fy 34 104 0 1469.652 0 0.15 0 0
Min Fy 1 105 0 741.001 0 -0.05 0 0
Max Fz 1 104 0 1461.794 0 -0.105 0 0
Min Fz 1 106 0 741.001 -26.229 -0.05 0 0
Max Mx 34 104 0 1469.652 0 0.15 0 0
Min Mx 1 104 0 1461.794 0 -0.105 0 0
Max My 1 104 0 1461.794 0 -0.105 0 0
Min My 1 104 0 1461.794 0 -0.105 0 0
Max Mz 1 104 0 1461.794 0 -0.105 0 0
Min Mz 1 104 0 1461.794 0 -0.105 0 0

104 1469.652
106
104
105
104
106
104
104
104
104
104
104

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