Euler's Beam theory

[Shz713]

Does that SAP2000 provide any options for the beam formulation: 1) Euler beam theory and 2) Timoshenko beam theory?

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[kostast88]

Actually no, you don't have such options in SAP2000. Shear deformations will affect flexural behaviour by default, so one could assume it's a "Timoshenko beam" by default the one in SAP.However it's NOT a Timoshenko beam, it's a different kind of theory, which coud be applied in both short and long members and be used in dynamic analysis accordingly.

From the manual:
"Biaxial bending, torsion, axial deformation, and biaxial shear are all accounted for in the beam-column formulation (Bathe and Wilson, 1976) which characterizes frame behavior."

What sap uses is in this book:

Bathe, K.J. and E. L. Wilson, 1976. Numerical Methods in Finite Element Analysis, Prentice-Hall, Englewood Cliffs, N.J.

 

[Shz713]

I thought same,
I reckon if the property modifiers for shear are set to zero, we might ignore the shear deformation.
For shell definitions, it's easy to include/exclude shear deformation by using two different theories.

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[JasonMcKee71]

Just zero the corresponding shear modifiers! The results will be compatible to Euler theory, ignoring shear deformations.

Jason McKee
proud R&D Manager of
Cross Section Analysis & Design
Software for the structural design of cross sections
Moment Curvature Analysis
Reifnorcement Design etc.

 

[Shz713]

That's right. Reducing shear area in 2 direction significantly affects the modal properties of beam compare to reducing shear are in 3 direction.

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