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Figure Q2 shows a rectangular beam with cross section of unit width is supported at ends and subject to an uniformly pressure p. Assume
Figure Q2 shows a rectangular beam with cross section of unit width is supported at ends and subject to an uniformly pressure p. Assume that the stress function is expressed by P [ -20y (2-x)-4y 15hxy+2hy 5hx] 20h (a) Prove that satisfies the governing equation on stress functions. (5 marks) (b) Derive the stress components Ox, Oy and Txy. (3 marks) (c) State the boundary conditions of the problem and prove that the stress components in the above (b) are valid. (12 marks) LP L > < Figure Q2 X L P Lp In
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a To prove that the given stress function satisfies the governing equation on stress functions we need to show that it satisfies the equilibrium equations and the compatibility equation Equilibrium eq...
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Mechanics of Materials
Authors: James M. Gere, Barry J. Goodno
7th edition
495438073, 978-0495438076
