PCE 219Final Exam Fall 2006

# PCE 219Final Exam Fall 2006 - PCE 219 NAME Final Exam Fall...

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PCE 219 Final Exam Fall 2006 NAME:________________ 1. The structure shown below consists of two bars pinned to each other at point C and pinned to a support structure at points A and B. Two loads are applied at point C as shown in the figure. The cross-sectional area of both bars is 0.1 mm 2 , and the elastic modulus is 200 GPa. Determine the axial normal stress and normal strain in both bars AC and BC. (Show your work) 4 m 3 m 30 kN 20 kN A B C

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2. A shaft is subjected to two torsions of equal magnitude and direction. Determine the magnitude of two torsions (T) needed to cause an angle of twist at the end of the rod equal to 2 degrees. G= 20x10 6 psi. 10 ft T 5ft T Cross-section inner diameter = 2 in outer diameter = 2.5 in
Draw the shear and moment diagram for the beam shown below as a function of x, 0<x<15. The beam is subjected to a uniformly distributed load from the pin at the left end to the roller on the right side. A concentrated load of 100 kN is applied at the mid- span of the first section. A concentrated moment of 200 kN-m is applied at the right end. 100 kN

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PCE 219Final Exam Fall 2006 - PCE 219 NAME Final Exam Fall...

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