GATE ME 2016 Set 2 — Question 21
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Strength of Materials → Beams & Columns → Bending & Shear Stresses
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Question
A machine element XY, fixed at end X, is subjected to an axial load , transverse load , and a twisting moment at its free end Y. The most critical point from the strength point of view is
Correct answer
(C) a point on the circumference at location X
Solution
The machine element is a cantilever beam.
1.The bending moment due to transverse load is maximum at the fixed end X (). Bending stress is maximum at the outer fibers (circumference) and zero at the center.
2.The twisting moment is constant throughout the length. Torsional shear stress is maximum at the circumference.
3.The axial load is constant throughout the length, producing uniform axial stress.
Since all stresses (bending, torsional, and axial) are either maximum or present at the fixed end X, and specifically bending and torsional stresses are maximum at the circumference, the most critical point is on the circumference at location X.Continue learning with Success Tracker
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