1
GATE CE 2017 Set 2
+2
-0.6
Consider the three prismatic beams with the clamped supports $$P,Q$$ and $$R$$ as shown in the figures.

Given that the modulus of elasticity, $$E$$ is $$2.5 \times {10^4}\,\,MPa;$$ and the moment of inertia, $${\rm I}$$ is $$8 \times {10^3}\,\,m{m^4},$$ the correct comparison of the magnitudes of the shear force $$S$$ and the bending moment $$M$$ developed at the supports is

A
$${S_p} < {S_Q} < {S_R};{M_P} = {M_Q} = {M_R}$$
B
$${S_p} = {S_Q} > {S_R};{M_P} = {M_Q} > {M_R}$$
C
$${S_p} < {S_Q} > {S_R} = {M_P} = {M_Q} = {M_R}$$
D
$${S_p} < {S_Q} < {S_R};{M_P} < {M_Q} < {M_R}$$
2
GATE CE 2017 Set 2
Numerical
+2
-0
A hollow circular shaft has an outer diameter of $$100$$ $$mm$$ and inner diameter of $$50mm.$$ If the allowable shear stress is $$125$$ $$MPa$$, the maximum torque (in $$kN$$-$$m$$) that the shaft can resist is ___________
3
GATE CE 2017 Set 2
+2
-0.6
Two prismatic beams having the same flexural rigidity of $$1000\,kN$$-$${m^2}$$ are shown in the figures.

If the mid-span deflections of these beams are denoted by $${\delta _1}$$ and $${\delta _2}$$ (as indicated in the figures), the correct option is

A
$${\delta _1} = {\delta _2}$$
B
$${\delta _1} < {\delta _2}$$
C
$${\delta _1} > {\delta _2}$$
D
$${\delta _1} > > \delta$$
4
GATE CE 2017 Set 2
+1
-0.3
Consider the frame shown in the figure.

If the axial and shear deformations in different members of the frame are assumed to be negligible, the reduction in the degree of kinematical indeterminacy would be equal to

A
$$5$$
B
$$6$$
C
$$7$$
D
$$8$$
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