Project ForgeStrength of Materials
Bending of Beams
GATE 2019
Medium
A wire of circular cross-section of diameter 1.0 mm is bent into a circular arc of radius 1.0 m by application of pure bending moments at its ends. The Young's modulus of the material of the wire is 100 GPa. The maximum tensile stress developed in the wire is ___ MPa.
50 MPa(± 1 accepted)
Explanation
σmax=Ec/R, where c=d/2=0.5mm is the outer-fibre distance and R=1000mm is the bend radius. σmax=(100,000 MPa)(0.5mm)/(1000mm)=50 MPa.
Source: GATE ME 2019 Session 2 (Set 3) (2019)
This question is part of a 15-day revision cycle — sign in and Project Forge will bring it back the day before you'd forget it.