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A thin plate of uniform thickness is subject to pressure as shown in the figure below. Under the assumption of plane stress, which one of the following is correct?

1. Normal stress is zero in the z-direction
2. Normal stress is tensile in the z-direction
3. Normal stress is compressive in the z-direction
4. Normal stress varies in the z-direction

Correct answer: Normal stress is zero in the z-direction

Solution

In a plane stress condition, the stress in the thickness direction (z-direction) is assumed to be negligible, leading to a normal stress of zero in that direction. This simplification is valid for thin plates where the in-plane stresses dominate.

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