The Rankine's formula holds good for

Question

Question

This question was previously asked in

WBPSC JE Mechanical 2018 Official Paper

Answer 1

Explanation:

For short or long columns Rankine’s Formula is used.

Where P is crippling load by Rankine formula; is crushing load; is crippling load by Euler’s formula.

For Short column: is very large so will be very small and negligible as compared to so

For Long column: is small so will be large as compared to. Hence the value of can be neglected. So

Hence the crippling load by Rankine’s formula for a long column is approximately equal to the crippling load by Euler’s formula.