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Cracks in adjacent elements

I am analysing a simply supported beam with a point load at mid span using non linear finite element method. The element is one dimensional having shear deformation. on applying monotonically increasing load not the middle element but the adjacent eleemnts are cracked as well. I am using a well documented beam  and using the same material properties for concrete, steel and bond as documented.

the material models for concrete is elastic, for steel is elato plastic and for bond is Trilinear. 

could anyone highlight the possible error? 

Parabolic distribution of shear stress

Hi all

According to Timoshenko beam theory shear stress is distributed uniformly across the cross-section depth which is contrary to real distribution of shear stress i.e parabolic distribution. I know there is a shear adjusment factor (5/6 for rectangular cross-section) can solve this problem. But I don't know how can I utilize this adjustment factor in the beam formulation to get parabolic distribution.

Could anybody please help me?

 

Regards

Huma

Timoshenko theory

Hi all

I developed a Fnnite element code in Maple for Euler Bernoulli Beam Theory. Then I solved a cantilever beam with a vertical load at the free end. On comparing results with comercially available software, my results are good.

Finally I developd the FE formulation for Timoshenko beam theory. for the same cantilever problem, I introduced a small magnitue of shear modulus but the results are highly different from the Euler-Bernoulli beam.

Can any body explain this?

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