Machine Design
For longitudinal joint in boilers, the type of joint used is

Any one of the above
Lap joint with one ring overlapping the other
Butt joint with single cover plate
Butt joint with double cover plate

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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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