A prismatic bar AD 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 (see figure). Segments AB, BC, and CD have lengths L/6, L/2, and L/3, respectively.
(a) Obtain a formula for the strain energy U of the bar.
(b) Calculate the strain energy if P = 6 k, L = 52 in.,
A = 2.76 in.2, and the material is aluminum with
E = 10.4 × 106 psi.

Transcribed Image Text:

5P 3P