GATE ME 2015 Set 1 | Columns and Struts Question 3 | Strength of Materials

GATE ME 2015 Set 1

Numerical

-0

Consider a steel (Young’s modulus $$E = 200$$ $$GP$$a) column hinged on both sides. Its height is $$1.0$$ $$m$$ and cross-section is $$10 mm$$ $$ \times $$ $$20 mm$$. The lowest Euler critical buckling load (in $$N$$) is __________ .

Your input ____

GATE ME 2012

MCQ (Single Correct Answer)

-0.3

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

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

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

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

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

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GATE ME Subjects

Engineering Mechanics

Engineering Mechanics Static and Dynamics

Strength of Materials

Springs Simple Stress and Strain Complex Stresses Pure Bending Moment of Inertia Shear Force and Bending Moment Stresses In Beams Deflection of Beams Columns and Struts Torsion Strain Energy Method Thin Cylinders

Theory of Machines

Vibrations Gears and Gear Trains Flywheel Analysis of Plane Mechanisms