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.dx(x) =1,(x), 0 ≤x≤L, with the boundary coditions,[EA du(x)]=1,(x),when x = 0, u(0) = 0, and when x=L, EAdu(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)PX0Ans. 475x10"{0}=(475)650×10Q4. Solve Q3 when ts(x) = 10(1+x)/unit length. Also, find the reaction forceat the fixed end and hence assess the validity of your finite elementsolution.

Material Modulus (E): (e.g., Pa, N/m^2, psi)Cross-sectional Area (A): (e.g., m^2, in^2)Length (L):…

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

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.3.30P: Space frame A BCD is clamped at A, except it is Free to translate in the .v direction. There is also...

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