Machine Design
A screw will be self locking, if

Friction angle is equal to helix angle
Efficiency of screw is 100%
Friction angle is less than helix angle
Friction angle is more than helix angle

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Machine Design
The angle of twist of shaft is

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

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