For a cube in three dimensions X, Y and Z, with plane of reference being X-Y, which of the following denotes that the problem is a plane strain condition?
- AStress in Z direction is zero
- BStrain in Z direction is non-zero
- CShear stresses in XZ and YZ planes are zeroCorrect
- DShear stress in XY plane is zero
Solution
Concept
Plane strain conditions
Formula
εz = γxz = γyz = 0
Step-by-step solution
1. In plane strain, εz = 0 and the shear strains γxz and γyz are zero (hence the shear stresses τxz, τyz are zero).
Explanation
Option C is the condition that is part of plane strain.
Why the other options are wrong
σz = 0 is plane stress; strain in z non-zero contradicts plane strain.
Correct answer: C) Shear stresses in XZ and YZ planes are zero