Machine Design
A thin spherical shell of internal diameter d is subjected to an internal pressure p. If σt is the tensile stress for the shell material, then thickness of shell is equal to

pd/4σt
pd/σt
pd/2σt
pd/3σt

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Machine Design
Slenderness ratio is the ratio of

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

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