GATE 2019 ME (ME2) – Question 32
A circular wire of diameter 1.0 mm is bent into a circular arc of radius 1.0 m by pure end bending moments. Young’s modulus is 100 GPa. Find maximum tensile stress (MPa).
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Correct answer: 49 to 51
Explanation
The outer-fibre distance is $c=0.0005$ m. Bending strain is $c/R=0.0005$. Thus maximum tensile stress is $Ec/R=100000(0.0005)=\mathbf{50}$ MPa.