Project ForgeStrength of Materials
Stress & Strain
GATE 2008
Medium
A solid circular shaft of diameter 100 mm is subjected to an axial stress of 50 MPa. It is further subjected to a torque of 10 kNm. The maximum principal stress experienced on the shaft is closest to
- A41 MPa
- 82 MPa
- C164 MPa
- D204 MPa
Explanation
Torsional shear stress τ=16T/(πd³)=16(10×10⁶ N·mm)/(π×100³)≈50.9 MPa. σmax=σ/2+√[(σ/2)²+τ²]=25+√(625+2591)≈25+56.7≈82 MPa.
Source: GATE ME 2008 (2008)
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