A steel plate of width 80 mm and of thickness 15 mm is bent into a circular arc of radius 8 m, what will be the maximum stress induced in plate? 

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HPCL Engineer Civil 23 Dec 2023 Official Paper
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  1. 150 N/mm2
  2. 187.5 N/mm2
  3. 200 N/mm2
  4. 189.5 N/mm2

Answer (Detailed Solution Below)

Option 2 : 187.5 N/mm2
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Detailed Solution

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Concept:

As per bending formula:

   

Where

M = bending moment due to load, σ = bending stress, E = Modulus of Elasticity, R = radius of Curvature, y = distance of outer fibre from the neutral axis

I is the MOI about a neutral axis and it is given as:

Calculation:

Given:

E = 2 × 105 N/mm2, R = 8 m = 8 × 103 mm, A = 80 mm × 15 mm, y = 15/2 mm

As we know,

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