1
GATE CE 2012
MCQ (Single Correct Answer)
+1
-0.3
If a small concrete cube is submerged deep in still water in such a way that the pressure exerted on all faces of the cube is $$p,$$ then the maximum shear stress developed inside the cube is
A
$$0$$
B
$${p \over 2}$$
C
$$p$$
D
$$2p$$
2
GATE CE 2012
MCQ (Single Correct Answer)
+1
-0.3
The following statements are related to bending of beams:

$${\rm I}.$$ The slope of the bending moment diagram is equal to the shear force.
$${\rm II}.$$ The slope of the shear force diagram is equal to the load intensity.
$${\rm III}.$$ The slope of the curvature is equal to the flexural rotation.
$${\rm IV}.$$ The second derivative of the deflection is equal to the curvature.

The only FALSE statements is

A
$${\rm I}$$
B
$${\rm I}$$$${\rm I}$$
C
$${\rm I}$$$${\rm I}$$$${\rm I}$$
D
$${\rm IV}$$
3
GATE CE 2012
MCQ (Single Correct Answer)
+1
-0.3
The Poisson's ratio is defined as
A
$$\left| {{{axial\,stress} \over {lateral\,stress}}} \right|$$
B
$$\left| {{{lateral\,strain} \over {axial\,strain}}} \right|$$
C
$$\left| {{{lateral\,stress} \over {axial\,stress}}} \right|$$
D
$$\left| {{{axial\,strain} \over {lateral\,strain}}} \right|$$
4
GATE CE 2012
MCQ (Single Correct Answer)
+2
-0.6
A simply supported beam is subjected to a uniformly distributed load of intensity $$w$$ per unit length. On half of the span from one end. The length of the span and the flexural stiffness are denoted as/and $$EI$$, respectively. The deflection at mid-span of the beam is
A
$${5 \over {6144}}{{w{\ell ^4}} \over {EI}}$$
B
$${5 \over {768}}{{w{\ell ^4}} \over {EI}}$$
C
$${5 \over {384}}{{w{\ell ^4}} \over {EI}}$$
D
$${5 \over {192}}{{w{\ell ^4}} \over {EI}}$$
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