Explanation:
The maximum shear stress theory of Tresca criterion states that failure occurs when the maximum shear stress in a material exceeds a certain limit. This criterion is also known as the maximum distortion energy theory or the shear stress theory.
To determine which figure represents the maximum shear stress theory of Tresca criterion, we need to analyze the stress distribution in each figure and identify the maximum shear stress regions.
Let's examine each figure:
Figure A:
- In this figure, the stress distribution is uniform along the cross-section, and there are no concentrated areas of stress. Therefore, it does not represent the maximum shear stress theory of Tresca criterion.
Figure B:
- In this figure, there are concentrated areas of stress at the corners of the cross-section. These areas experience the maximum shear stress, indicating that this figure represents the maximum shear stress theory of Tresca criterion.
Figure C:
- In this figure, there are concentrated areas of stress at the sides of the cross-section. These areas experience the maximum shear stress, indicating that this figure represents the maximum shear stress theory of Tresca criterion.
Figure D:
- In this figure, the stress distribution is uniform along the cross-section, and there are no concentrated areas of stress. Therefore, it does not represent the maximum shear stress theory of Tresca criterion.
Therefore, the correct answer is C: Figure C represents the maximum shear stress theory of Tresca criterion.