Timoshenko beams takes into account shear deformation and rotational inertia effects, making it suitable for describing the behavior of short beams but is their any minimum L/D ratio upto which Timoshenko beam concept can be applied for short beams?
In my opinion, you can always take account of shear but the influence of this energy part on global obtained result is low for L/D>10. FEM and Timoshenko results become to be divergent for L/D
Thank you sir for your reply.
In my case L/D ratio is around 6 but than also i am observing some deviation in FEM and Timoshenko results. Can you suggest me some references in this regard for citation purpose.
Regards
Ankur Saxena
For L/D=6, you surely have influence of shear stress then Timoshenko is recommended, but you cannot be sure that FEM gives the exact results ! Modelisation of support and meshing cause result strongly to vary.
For FEM, it is important to proceed to a meshing sensibility test. Change your meshing size to observe however results are modifier. It could help you to know whose method give divergent result.
Bibliography : for instance.
S. Timoshenko, D.H. Young, and W. Weaver. Vibration Problems in Engineering. Wiley, New York, fourth edition, 1974
In my old portal crane design practice L/D ≈ 8 was considered for pedestal structures under quasi-static loads. Support conditions however have a large effect.
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