Theory of Structures
In a shaft, the shear stress is not directly proportional to

Length of the shaft
Angle of twist
Modulus of rigidity
Radius of the shaft

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Theory of Structures
Slenderness ratio of a long column, is

Radius of gyration divided by area of cross-section
Area of cross-section divided by least radius of gyration
Area of cross-section divided by radius of gyration
Length of column divided by least radius of gyration

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