Question

What is the angle between the principal plane and the plane of maximum in-plane shear stress?

• A. \(180^\circ\)
• B. \(0^\circ\)
• C. \(45^\circ\)
• D. \(90^\circ\)

Hint:

For plane stress, \[ \boxed{ \theta_{\max\ \tau} = \theta_p+45^\circ } \] where \[ \theta_p \] is the orientation of the principal plane.

Answer 1

The Correct Option is C

Step 1: Recall the relationship between principal planes and maximum shear planes. In plane stress, \[ \boxed{ \text{Planes of maximum shear stress are inclined at }45^\circ\text{ to the principal planes.} } \]

Step 2: Determine the required angle. Therefore, the angle between a principal plane and the plane of maximum in-plane shear stress is \[ \boxed{45^\circ.} \] Hence, \[ \boxed{(C)} \] is the correct answer.