1
GATE CE 2003
MCQ (Single Correct Answer)
+2
-0.6
A $$''H''$$ Shaped frame of uniform flexural rigidity $$EI$$ is loaded as shown in the figure. The relative outward displacement between points $$K$$ and $$O$$ is GATE CE 2003 Strength of Materials Or Solid Mechanics - Deflection of Beams Question 10 English
A
$${{R\,L{h^2}} \over {EI}}$$
B
$${{R\,{L^2}h} \over {EI}}$$
C
$${{R\,L{h^2}} \over {3EI}}$$
D
$${{R\,{L^2}h} \over {4EI}}$$
2
GATE CE 2003
MCQ (Single Correct Answer)
+1
-0.3
For linear elastic systems, the type of displacement function for the strain energy is
A
Linear
B
Quadratic
C
Cubic
D
Quartic
3
GATE CE 2003
MCQ (Single Correct Answer)
+1
-0.3
A long structural column (length $$-L$$) with both ends hinged is acted upon by an axial compressive load $$P.$$ The differential equation governing the bending of column is given by: $$$EI{{{d^2}y} \over {d{x^2}}} = - Py$$$

Where $$y$$ is the structural lateral deflection and $$EI$$ is the flexural rigidity. The first critical load on column responsible for its buckling is given by

A
$${{{\pi ^2}EI} \over {{L^2}}}$$
B
$${{\sqrt {2{\pi ^2}EI} } \over {{L^2}}}$$
C
$${{2{\pi ^2}EI} \over {{L^2}}}$$
D
$${{4{\pi ^2}EI} \over {{L^2}}}$$
4
GATE CE 2003
MCQ (Single Correct Answer)
+2
-0.6
A stepped steel shaft shown below is subjected to $$10$$ $$N$$-$$m$$ torque. If the modulus of rigidity is $$80$$ $$GPa,$$ the strain energy in the shaft in $$N$$-$$mm$$ is GATE CE 2003 Strength of Materials Or Solid Mechanics - Strain Energy Method Question 2 English
A
$$4.12$$
B
$$3.46$$
C
$$1.73$$
D
$$0.86$$
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