What will be the value of the maximum absolute shear stress produced in a thin cylinder if hoop stress = 40 MPa and longitudinal stress = 20 MPa?

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RRB JE ME 22 Apr 2025 Shift 1 CBT 2 Official Paper
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  1. 10 MPa
  2. 60 MPa
  3. 30 MPa
  4. 20 MPa

Answer (Detailed Solution Below)

Option 4 : 20 MPa
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Concept:

In a thin-walled cylinder under internal pressure, two principal stresses act on the wall: hoop stress and longitudinal stress.

Given:

  • Hoop stress, σh = 40 MPa
  • Longitudinal stress, σl = 20 MPa
  • Radial stress = 0 MPa (negligible in thin cylinders)

Formula for Maximum Absolute Shear Stress:

\(\tau_{\text{max}} = \frac{1}{2}(σ_{\text{max}} - σ_{\text{min}})\)

Calculation:

\(\tau_{\text{max}} = \frac{1}{2}(40 - 0) = 20~\text{MPa}\)

 

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