Practical Application of Finite Element Analysis To The Design of Post-Tensioned and Reinforced Concrete Floors
Practical Application of Finite Element Analysis To The Design of Post-Tensioned and Reinforced Concrete Floors
Practical Application of Finite Element Analysis To The Design of Post-Tensioned and Reinforced Concrete Floors
• Advantages of each
• Project examples
Types of Programs Available
• Accuracy
• continuity effects (elastic reactions)
• load path
• complicated loads (including lateral)
• restraint effects
• torsion
3-D finite element method
• Speed
• Load Path
• Complicated Loads
• Restraining Effects
• Torsion
Continuity Effects
Continuity Effects
Beam and Slab:
Relatively straightforward load path
Beam and Slab:
• In plane forces
• Resolution of Txy
Fx’ = Fx
Vxy’ = Vxy
Vxz’ = Vxz
My’ = My - Fx d
Mxy’ = Mxy - Vxy d
Using Shell Elements to Model
Beams
• Balance Loading
• Hyperstatic Loading
The 3-D Finite Element Design Process
• Restraining Effects
• Mat Foundations
Punching Shear
Punching Shear
Punching Shear ……..
stress ratio exceeds unity
SR=1.25
Punching Shear ……..
without penetrations, stress ratio
<1
Mats
Mats
48” Mat: DL + LL + WL
Bearing pressure
Max = 2560 psf
Min = 690 psf
24” Mat: DL + LL + WL
Bearing pressure
Max = 3450 psf
Min = 0 psf
(10 iterations)
24” Mat: DL + LL + WL
Bearing pressure
Max = 3450 psf
Min = 0 psf
(10 iterations)
Bridgewater Place, Leeds
Mixed Use:
Office / Residential
…….Soffit view
Sheraton Keauhou Bay Resort
Keauhou Kona, Hawaii
Structural Systems
(UK) Ltd
Westbridge Wharf
Leicester
3 residential buildings
9 levels each
St. Lucia Luxury
Condominiums
Destin, Florida
Suncoast Post-Tension
St. Lucia Luxury
Condominiums
Destin, Florida
Suncoast Post-Tension
Royal Palm Plaza
Boca Raton, FL
Tendon Systems,
Inc.
Royal Palm Plaza
Boca Raton, FL
Tendon Systems,
Inc.
Opus
Architects and Engineers
Jonathan Hirsch, P.E.
Jonathan.Hirsch@bentley.com