Machine Design
The angle of twist of shaft is

Directly proportional to (shaft diameter)⁴
Inversely proportional to (shaft diameter)²
Directly proportional to (shaft diameter)²
Inversely proportional to (shaft diameter)⁴

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Machine Design
Slenderness ratio is the ratio of

Effective length of column to least radius of gyration of the column
Width of column to depth of column
Maximum size of column to minimum size of column
Effective length of column to width of column

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