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A steel rod projects horizontally from a rigid wall. The shear strength of steel is 345 MN/m². The rod has cross-sectional dimensions BC = BE = 2 cm and length AB = 5 cm. What is the maximum load (in kg) that can be placed on the top face ABCD without shearing the rod? (g = 10 m/s²)
- 3450 kg
- 1380 kg
- 13800 kg
- 345 kg
Correct answer: 13800 kg
Solution
The applied load on face ABCD creates a shear stress across the cross-section of the rod (BC x BE) where it meets the wall. The rod fails when this shear stress reaches 345 MN/m².
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