Solution Found!
For a member under axial loading, express the normal
Chapter 2, Problem 2.72(choose chapter or problem)
For a member under axial loading, express the normal strain \(\epsilon^{\prime}\) in a direction forming an angle of \(45^{\circ}\) with the axis of the load in terms of the axial strain \(\epsilon_{x}\) by (a) comparing the hypotenuses of the triangles shown in Fig. 2.43, which represent respectively an element before and after deformation, (b) using the values of the corresponding stresses \(\sigma^{\prime}\) and \(\sigma_{x}\) shown in Fig. 1.38, and the generalized Hooke’s law.
Questions & Answers
QUESTION:
For a member under axial loading, express the normal strain \(\epsilon^{\prime}\) in a direction forming an angle of \(45^{\circ}\) with the axis of the load in terms of the axial strain \(\epsilon_{x}\) by (a) comparing the hypotenuses of the triangles shown in Fig. 2.43, which represent respectively an element before and after deformation, (b) using the values of the corresponding stresses \(\sigma^{\prime}\) and \(\sigma_{x}\) shown in Fig. 1.38, and the generalized Hooke’s law.
ANSWER:Step 1 of 2
(a)
The normal strain 
Neglect squares as small
