GATE ME 2020 Set 1 — Question 38
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Machine Design → Static & Dynamic Loading → Theories of Failure
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Question
Bars of square and circular cross-section with length are made of a material with shear strength of . The square bar cross-section dimension is and the cylindrical bar cross-section diameter is . The specimens are loaded as shown in the figure.
Which specimen(s) will fail due to the applied load as per maximum shear stress theory?
Correct answer
(A) Tensile and compressive load specimens
Solution
Material shear strength .
1.Tensile load (Square bar): , . Normal stress . Maximum shear stress . Since , it fails.
2.Compressive load (Square bar): , . . . Since , it fails.
3.Torsional load (Circular bar): , . . Since , it is safe.
4.Bending load (Square bar): , . . . Since , it is safe.
Thus, only tensile and compressive load specimens fail.Continue learning with Success Tracker
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