A steel plate of width 120 mm and of thickness 20 mm is bent into a circular arc of radius 10 m. Determine the maximum stress induced and the bending moment which will produce the maximum stress. Take e = 2 x 105 n/mm2.
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The magnitude of the pure moment m will be 2 x 10^5.
Explanation:
- Width of steel fleet = 120 mm (Given)
- Thickness of steel fleet = 10 mm
- Circle of radius = 10 m
M/I = E/R
Therefore, M = EI/R
R = 10000 mm
I = 1/12 × 120 × 10³mm^4 = 10^4 mm^4
E = 2 x 10^5 n/mm²
M = 2 x 10^5× 10^4/ 10000
= 2 x 10^5
Thus, the magnitude of the pure moment m will be 2 x 10^5.
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