The Rankine Formula Holds Good for

Answer: C – Both short and long columns

The Rankine formula holds good for both short and long columns.

Solution:

Rankine’s Formula is employed for both short and lengthy columns.

P_C is a crippling load according to the Rankine formula, P_E is a crushing load, and a crippling load according to Euler’s formula.

1/P = 1/P_C + 1/P_E

For the short column: Since PE is quite big, 1/P_E will be tiny and insignificant in comparison to 1/P_C. So

1/P = 1/P_C → P = P_C

For long columns: Since PE is small, 1/P_E will be larger than PE. As a result, the value of 1/P_C may be disregarded. So

1/P = 1/P_E → P = P_C

So, for a long column, the crippling load calculated using Rankine’s method is almost equivalent to the crippling load calculated using Euler’s calculation. Hence the Rankine formula holds good for both short and long columns.

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