When a shaft of diameter D is subjected to a twisting moment T and a bending moment M, then the maximum normal stress is given by

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WBPSC JE Mechanical 2018 Official Paper
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Explanation:

 

When shaft subjected to pure bending develops normal stress which is given by:

When shaft subjected to pure twisting moment develops shear stress which is given by:

The combined effect of bending and torsion produces principal stress which is given by:

from the above:

σMax = 

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