GATE ME 2012 | Columns and Struts Question 4 | Strength of Materials

For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is

GATE ME 2006

MCQ (Single Correct Answer)

-0.3

A pin-ended column of length $$L,$$ modulus of elasticity $$E$$ and second moment of the cross-sectional area $$I$$ is loaded centrally by a compressive load $$P.$$ The critical buckling load $$\left( {{P_{cr}}} \right)$$ is given by

$${P_{cr}} = {{EL} \over {{\pi ^2}{L^2}}}$$

$${P_{cr}} = {{{\pi ^2}EL} \over {3{L^2}}}$$

$${P_{cr}} = {{\pi EL} \over {{L^2}}}$$

$${P_{cr}} = {{{\pi ^2}EL} \over {{L^2}}}$$

GATE ME 1994

MCQ (Single Correct Answer)

-0.3

For the case of a slender column of length $$l,$$ and flexural rigidity $$EI$$ built-in at its base and free at the top, the Euler’s critical buckling load is

$${{4{\pi ^2}EI} \over {{l^2}}}$$

$${{2{\pi ^2}EI} \over {{l^2}}}$$

$${{{\pi ^2}EI} \over {{l^2}}}$$

$${{{\pi ^2}EI} \over {4{l^2}}}$$

GATE ME 1988

MCQ (Single Correct Answer)

-0.3

If the length of a column is doubled, the critical load becomes:

$${1 \over 2}$$ of the original valu

$${1 \over 4}$$ of the original value

$${1 \over 8}$$ of the original value

$${1 \over 16}$$ of the original value

Questions Asked from Marks 1

GATE ME 2022 Set 1 (1) GATE ME 2015 Set 1 (1) GATE ME 2012 (1) GATE ME 2006 (1) GATE ME 1994 (1) GATE ME 1988 (1)

GATE ME Subjects

Engineering Mechanics

Machine Design

Strength of Materials

Heat Transfer

Production Engineering

Industrial Engineering

Turbo Machinery

Theory of Machines

Engineering Mathematics

Fluid Mechanics

Thermodynamics

General Aptitude