Machine Design
In order to determine the stresses in a thin cylinder due to an internal pressure, it is assumed that

All of these
The tensile stresses are uniformly distributed over the section of the walls
The effect of curvature of the cylinder wall is neglected
The effect of the restraining action of the heads at the end of the pressure vessel is neglected

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Machine Design
Spring index is

Its capability of storing energy
Indication of quality of spring
Ratio of coil diameter to wire diameter
Load required to produce unit deflection

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