) A cylindrical rod of constant shear modulus, G is of length L and located between z=0 and z=L. It has a polar moment of inertia given by J=(Jo)/(1-Z/L) and t=-sin(πZ/2L) where Jo is a constant. The boundary conditions are dΦ(o)/dz =0 AND Φ(L)=0 Find Φ(z) and graph (1/GJo)Φ(Z),  and (1/GJo)(dΦ(Z)/dz) ?

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter6: Stresses In Beams (advanced Topics)
Section: Chapter Questions
Problem 6.4.5P: Solve the preceding problem using the fol low-data: W 8 × 21 section, L = 84 in., P = 4.5 kips, a =...
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1) A cylindrical rod of constant shear modulus, G is of length L and located between z=0 and z=L. It has a polar moment of inertia given by J=(Jo)/(1-Z/L) and t=-sin(πZ/2L)
where Jo is a constant.
The boundary conditions are dΦ(o)/dz =0 AND Φ(L)=0

Find Φ(z) and graph (1/GJo)Φ(Z),  and (1/GJo)(dΦ(Z)/dz) ?

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