A steel plate of width 60 mm and of thickness 10 mm 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 10 N/mm.
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Given data: b = 60 mm, thickness of plate, t = 10 mm, radius of curvature, R = 10 m and E = 2 × 105 N/mm2.
Let fmax be the maximum stress induced, and M be the bending moment.
Using bending equation,
This equation gives the stress at a distance y from neutral axis. Stress will be maximum when y is maximum.
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