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Question
If the Euler load for a steel column is 1000 kN and crushing load is 1500 kN, the Rankine load is equal to
यदि किसी स्टील स्तंभ के लिए यूलर भार 1000 kN है और पेराई भार 1500 kN है, तो रैंकिन भार किसके बराबर है?
A.
2500 kN
B.
1500 kN
C.
1000 kN
D.
600 kN
Answer ( Option D)

600 kN

Solution

In case of short columns failure is by crushing.
Thus, crushing load Pc = FcA.
In case of long column failure is by buckling.
Thus, buckling load  PE = Generally columns which we came across are neither too short nor long.
The failure of member will be due to combined effect of direct and bending stresses.
For this Rankine devised an empirical formula for collapse load which should cover all column whether they are short or long.

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