GATE Mechanical Engineering (ME) 2018 Shift 1 Solved Paper

Question : 32 of 65

Marks: +1, -0

A steel column of rectangular section

(15 {mm} × 10 {mm})

and length

1.5 {m}

is simply supported at both ends. Assuming modulus of elasticity,

E=200

GPa for steel, the critical axial load (in

{kN}

) is________ (correct to two decimal places)

Solution:

For Simply Supported column at both ends,
Buckling load

=\;{π^{2} E I_{\min }}/{L^{2}}

=\;{π^{2} × 200 × 10^{3} × {15 × 10^{3}}/{12}}/{1500^{2}}=1096.62 {N}=1.097 {kN}

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