Machine Design
A hot short metal is

Brittle when cold
Brittle under all conditions
Brittle when hot
Ductile at high temperature

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Machine Design
The angle of twist of shaft is

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

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