Machine Design
Slenderness ratio is the ratio of

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

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Machine Design
The effective stress in wire ropes during normal working is equal to the stress due to

Bending plus stress due to acceleration/retardation
Axial load plus stress due to acceleration/retardation
Acceleration/retardation of masses plus stress due to bending
Axial load plus stress due to bending

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