GATE ME 2017 Set 1 — Question 15
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Strength of Materials → Beams & Columns → Torsion of Shafts
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Question
A motor driving a solid circular steel shaft transmits of power at . If the diameter of the shaft is , the maximum shear stress in the shaft is ______ MPa.
Correct answer
60 to 61
Solution
Given:
Power
Speed
Diameter Step 1: Calculate the torque () transmitted by the shaft.
The power transmitted is given by:Step 2: Calculate the maximum shear stress () in the shaft.
For a solid circular shaft, the maximum shear stress is given by the torsion formula:Substituting the values:The value rounded to the nearest integer is 61, and it falls within the range of 60 to 61.
Power
Speed
Diameter Step 1: Calculate the torque () transmitted by the shaft.
The power transmitted is given by:Step 2: Calculate the maximum shear stress () in the shaft.
For a solid circular shaft, the maximum shear stress is given by the torsion formula:Substituting the values:The value rounded to the nearest integer is 61, and it falls within the range of 60 to 61.
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