Question
Download Solution PDFTwo shafts, A and B, are of the same material. If the diameter of A is thrice the diameter of B, then the torque that can be transmitted by A will be:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The torque transmitted by a circular shaft is proportional to the cube of its diameter, given by the formula:
\( T = \frac{\pi}{16} \cdot τ \cdot d^3 \)
Given:
- Shafts A and B are of same material → Same shear stress \(\tau\)
- Diameter of A is 3 times that of B → dA = 3dB
Calculation:
\( \frac{T_A}{T_B} = \left( \frac{d_A}{d_B} \right)^3 = 3^3 = 27 \)
Last updated on Jun 7, 2025
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