Answer: C - Both short and long columns
The Rankine formula holds good for both short and long columns.
Rankine's Formula is employed for both short and lengthy columns.
PC is a crippling load according to the Rankine formula, PE is a crushing load, and a crippling load according to Euler's formula.
1/P = 1/PC + 1/PE
For the short column: Since PE is quite big, 1/PE will be tiny and insignificant in comparison to 1/PC. So
1/P = 1/PC → P = PC
For long columns: Since PE is small, 1/PE will be larger than PE. As a result, the value of 1/PC may be disregarded. So
1/P = 1/PE → P = PC
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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