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1a and 1b :)

repcไ (, w m detail the derivation of the discrete tinte element equal 2.7 Remarks Having shown how the equilibrium equations for various types of ge for 3D solids. The use of proper assumption simplify the problem. These kinds can significanty CN s and theories can lead to a dimension reduction, and hence ds of simplification can significantly reduce the size of finite element all the equilibrium equations are just special cases of the general equilibrium eq models. 2.8 Review questions 1. Consider the problem of a ID bar of uniform cross-section, as shown in Figure 2.18. The bar is fixed at the left end and is of length 1= 1 mn and section area A= 0.0001 m2. It is subjected to a uniform body force r anda concentrated force F at the right end. The Youngs modulus of the material is E 2.0 x 10 N/m. Using the analytical (exact) method, obtain solutions in terms of the distribution and the maximum value of the displacement, strain, and stress, for the follow- ing cases a. fx=0 and Fs = 1000 N. b. f 1000 N/m and F, 1000N. c. f (100x +1000) N/m and F, 0. 10 2. Consider a cantilever beam of uniform cross-section, as shown in Figure 2.19. The beam is lamped at the left end and is of length I 1m and with a square section area of A0.001m. It is subjected to a uniform body force fy and a concentrated force F, at the right end. The Youngs modulus of the material is E 200.0 x 10 N/m2. Using the analytical (exact) method . obtain Fs

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