A solid square cross-section mild steel bar, of side 4cm is to be bent on the arc of a circle. The smallest radius (in m) to which it can be bent, if the breaking stress of the steel is 840 MPa, and Young's Modulus is 210 GPa is: (Assume that the radius of curvature is much larger than the thickness of the bar.)

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A solid square cross-section mild steel bar, of side 4cm is to be bent on the arc of a circle. The smallest radius (in m) to which it can be bent, if the breaking stress of the steel is 840 MPa, and Young's Modulus is 210 GPa is: (Assume that the radius of curvature is much larger than the thickness of the bar.)

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answer is 5.

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Detailed Solution

The steel bar is elastic and compresses as easilyas it stretches, Like a springBut it will break under tension.If it is slightly streched and lightly compressedby being bent, there will be a neutral line closeto the centre line, if the bending is small.

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