GATE ME 2024 Set 1 — Question 56
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Machine Design → Static & Dynamic Loading → Theories of Failure
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Question
A solid massless cylindrical member of 50 mm diameter is rigidly attached at one end, and is subjected to an axial force kN and a torque N. m at the other end as shown. Assume that the axis of the cylinder is normal to the support. Considering distortion energy theory with allowable yield stress as 300 MPa, the factor of safety in the design is _____ (rounded off to 1 decimal place).
Correct answer
4.3 to 4.7
Solution
1.Calculate the stresses:
- Diameter mm m.
- Axial stress MPa.
- Torsional shear stress MPa.
3.Calculate the Factor of Safety (FOS):
Rounding to one decimal place, the factor of safety is 4.5.Continue learning with Success Tracker
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