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 2.12.7P

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