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 P = 6 k, 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 Pallowable of the load in kip? If the elongation of AB is limited to 0.17 in., what is the maximum allowable value Pallowable of the load in kip? If the maximum tensile stress in the bar is not to exceed 5000psi, what is the maximum allowable value Pallowable of the load in kip? If the maximum compressive stress in the bar is not to exceed 5000psi, what is the maximum allowable value Pallowable kip?

Explanation / Answer

1)reaction at A is =3p 2)

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