A prismatic bar ABCD of length L. cross-sectional area A. and modulus of elastic

Question

A prismatic bar ABCD of length L. cross-sectional area A. and modulus of elasticity E is subjected to loads 5P, 3P, and P acting at points B, C, and D, respectively. Segments AB, BC, and CD have lengths 1/6, L/2, and L/3, respectively. Take L = 52 in., A = 2.76 in.2, and E = 10.4 times 106 psi in answering the following questions. Take the whole bar as a free body and determine the unknown reaction Ax at A in terms of P. Draw the complete normal force diagram in terms of P. If the shortening of BC is limited to 0.12 in., what is the maximum allowable value P allowable of the load in kip? If the elongation of AB is limited to 0.17 in., what is the maximum allowable value P allowable of the load in kip? If the maximum tensile stress in the bar is not to exceed 5000psi, what is the maximum allowable value P allowable of the load in kip? If the maximum compressive stress in the bar is not to exceed 5000psi, what is the maximum allowable value P allowable of the load in kip?

Explanation / Answer

1)reaction at A is =3p 2)

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