1
GATE CE 2002
+1
-0.3
The shear modulus (G), modulus of elasticity (E) and the Poisson's ratio ($$\mu$$) of a material are related as
A
$$G\;=\;\frac E{\left[2(1+\mu)\right]}$$
B
$$E\;=\;\frac G{\left[2(1+\mu)\right]}$$
C
$$G\;=\;\frac E{\left[2(1-\mu)\right]}$$
D
$$G\;=\;\frac E{\left[2(\mu - 1)\right]}$$
2
GATE CE 2002
+2
-0.6
For the loading given in the figure below, two statements ( $${\rm I}$$ and $${\rm II}$$ ) are made.

$${\rm I}.$$ $$\,\,\,\,\,\,\,\,\,$$Member $$AB$$ carries shear force and bending moment
$${\rm II}.$$ $$\,\,\,\,\,\,\,$$Member $$BC$$ carries axial load and shear force

Which of the following is true ?

A
Statement $${\rm I}$$ is true but $${\rm I}$$$${\rm I}$$ is false
B
Statement $${\rm I}$$ is false but $${\rm II}$$ is true
C
Both Statements $${\rm I}$$ and Statement $${\rm II}$$ are true
D
Both Statements $${\rm I}$$ and Statement $${\rm II}$$ are false
3
GATE CE 2002
+2
-0.6
In the propped cantilever beam carrying a uniformly distributed load of $$w$$-$$kN/m,$$ shown in the following figure, the reaction at the support $$'B'$$ is
A
$${5 \over 8}wL$$
B
$${3 \over 8}wL$$
C
$${1 \over 2}wL$$
D
$${3 \over 4}wL$$
4
GATE CE 2002
+2
-0.6
A propped cantilever beam of span $$'L'$$ is loaded with $$u.d.l$$ of intensity $$w$$/unit length, all through the span. Bending Moment at the fixed end is
A
$$- W{L^2}/8$$
B
$$W{L^2}/2$$
C
$$W{L^2}/12$$
D
$$W{L^2}/824$$
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