Determine the minimum thickness of the rectangular axial bar shown against yielding. Given Factor of Safety (FOS) = 2 and Yield stress = 310 MPa.

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RRB JE ME 22 Apr 2025 Shift 1 CBT 2 Official Paper
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  1. 155 mm
  2. 19.4 mm
  3. 60 mm
  4. 25 mm

Answer (Detailed Solution Below)

Option 2 : 19.4 mm
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Detailed Solution

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Concept:

To prevent yielding, the actual stress on the material must be less than or equal to the allowable stress (yield stress divided by the factor of safety).

Given:

  • Axial load, P = 120 kN = 120000 N
  • Width of bar, b = 40 mm
  • Yield stress, σyield = 310 MPa
  • Factor of Safety, FOS = 2

Step 1: Allowable Stress

\(\sigma_{\text{allowable}} = \frac{310}{2} = 155~\text{MPa}\)

Step 2: Use axial stress formula

\(\sigma = \frac{P}{A} = \frac{P}{bt}\)\(t = \frac{P}{b \cdot \sigma_{\text{allowable}}}\)

\(t = \frac{120000}{40 \cdot 155} = \frac{120000}{6200} = 19.35 \approx 19.4~\text{mm}\)

 

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