Problem 4.25 - Multiaxial Hooke’s Law

Problem Statement

A block is pulled in all three directions (Px = 3 kN, Py = 3 kN, Pz = 6 kN). What is the percent change in volume after all three loads are applied? Assume E = 1,500 MPa and v = 0.35.

Picture of a block being pulled in all three directions. The loads are evenly distributed on each face. The length 6 cm in the x direction, 5 cm in the y direction, and 2 cm in the z direction.

Figure 1: A block is pulled in all three directions.

[Problem adapted from © Kurt Gramoll CC BY NC-SA 4.0]