Machine Design
When the material of key and shaft is same, and the width of key is one-fourth of the diameter of shaft (d), then length of key will be

0.8 d
1.8 d
1.57 d
1.2 d

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Machine Design
In case of thick cylinders, the tangential stress across the thickness of cylinder is

Maximum at the outer surface and minimum at the inner surface
Maximum at the inner surface and minimum at the outer surface
Maximum at the inner surface and zero at the outer surface
Maximum at the outer surface and zero at the inner surface

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