d4 Q3. (a) A prismatic circular rod with one end fixed is acted on by the specifiedloadings as shown below. Discretise the rod with two equally longlinear truss finite elements and calculate:(i) the global/system stiffness matrix and load vector, and(ii) the nodal displacements and element stresses.(b) The theoretically exact displacement, u(x), at any generic materialpoint a distance x from the fixed end is given by the differential eqn.dxEA-du(x)]=1,(x), 0≤x≤L, with the boundary coditions,when x = 0, u(0) = 0, and when x = L, EA du(L) = P, and wheredxE=30x106, A 2.0, L=60.0, ts(x) = 20.0/unit length, P = 50.0Plot the variation of displacements of points along the length of the rodand critically compare these with your finite element results you haveobtained in part (a).ts(x)+u(x)PX475Ans. 475x10650×10-

However, based on your description of the problem and the information you've provided so far, I can…

Answered: Q3. (a) A prismatic circular rod with…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.2.17P: A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight...

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-11 A rubber cube R of a side L = 3 in. and cross- sectional area A = 9 in2 is compressed inside a steel cube S by a force F = 5 lb that applies uniformly distributed pressure to the rubber. Assume E 0.3ksi and,, = 0.45. (a) Calculate the lateral pressure between the rubber and steel (disregard friction between the rubber and the steel, and assume that the steel block is rigid when compared to the rubber). (b) Calculate the change in volume of the rubber.
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