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chap6_ex - A 3D APPLICATION Prob 6.12 Shown is a...

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1 A 3D APPLICATION Prob. 6.12 L A h b A x, u z, w y, v C Shown is a cantilevered rectangular block loaded by a uniformly distributed z-direction load q along line AA. We’ll compute the tip deflection and stresses near the wall using 3d elements. L=0.32 m, h=0.04 m, b=0.08 m, q=600 kN/m, E=70 GPa, nu=0.3

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2 BOUNDARY CONDITIONS We make use of symmetry. The problem is symmetrical about the plane x=b/2 and antisymmetrical about the plane z=h/2. Hence we model one quarter of the block. L C h/2 b/2 x, u z, w y, v A q/2 u=v=0 u= θ y = θ z =0 q/2 v=0 w=0 u=v=0 on the top surface of the model, which represents the horizontal mid-plane of the actual block, which is the plane of antisymmetry. u= θ y = θ z =0 on the left face of the model, which represents the vertical mid-plane of the actual block, which is the plane of symmetry . v=0 at the back face (the wall) and w=0 at the corner shown.
3 Loads and Elements A distributed load q/2 is applied along line AC at the tip.

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chap6_ex - A 3D APPLICATION Prob 6.12 Shown is a...

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