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Strength of Materials
Stress & Strain
GATE 2016
Medium

A machine element XY, fixed at end X, is subjected to an axial load P, a transverse load F, and a twisting moment T at its free end Y. The most critical point from the strength point of view is

  • Aa point on the circumference at location Y
  • Ba point at the center at location Y
  • a point on the circumference at location X
  • Da point at the center at location X

Explanation

For a cantilever loaded only at the free end Y, the bending moment (and hence bending stress) grows from zero at Y to a maximum at the fixed end X, while torque and axial force stay constant along the length. So the fixed end X carries the largest combined stress. Within a cross-section, bending and torsional shear stresses are both maximum at the outer circumference (zero at the center), so the critical point is on the circumference at X.

Source: GATE ME 2016 Set-2 (2016)

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