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Question
Four columns are identical in all parameters except end conditions. Arrange them in their ascending order of load carrying capacity.
I. Both ends are hinged
II. Both ends are fixed
III. One end is fixed and the other end is free
IV. One end is fixed and the other end is hinged
pkj LraHk vafre fLFkfr;ksa dks NksM+dj lHkh ekinaMksa esa leku gSaA mUgsa Hkkj ogu {kerk ds vkjksgh Øe esa O;ofLFkr djsaA
A.
III, I, IV, II
B.
I, II, III, IV
C.
II, IV, I, III
D.
II, i, iv, III
Answer ( Option A)

III, I, IV, II

Solution

When both ends are hinged
Pcr = π2EImin/L2
When both ends are fixed
Pcr =4π2EImin/L2
When one end is fixed and other end is free
Pcr =π2EImin/4L2
When one end is fixed and other end is hinged
Pcr =2π2EImin/L2

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