A solid shaft made from copper is 90mm diameter and 8m long

A solid shaft made from copper is 90mm diameter and 8m long. If this shaft is joined to a 1.5m long solid steel shaft and 120mm diameter, estimate the maximum shear stress in each material and the total angle of twist of the entire shaft, if a torque of 20KN-m is applied to each end of shaft. GC=40GN/m2 G=90GN/m2

Strength of Materials (Stresses in a truss)

Mga idol. Pwede pa turo pano to? Thanks in advance.

Problem 1

For a truss loaded as show, choose the lightest 2-angle sections to safely carry the maximum stress. The yielding stress of steel is 240 MPa. Use allowable compressive stress of 0.45 of the yielding stress and allowable tensile stress of 0.60 of the yielding stress. Assume that provision for buckling is provided.
F1 = 15 KN; F2 = 14 KN

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Restrained Beams Deflection

I have a question regarding Problem 719. I've got the correct answer for solving for R. But when i try to solve using my own way of solving the midspan deflection, my answer is wrong. So i consult your solution. Although your answer is the same as in the textbook, I was confused why the tangent line was drawn from B which is by inspection, the tangent line drawn from a fixed end is horizontal.

Thank you for your response.

Arthur