1
GATE CE 2017 Set 2
Numerical
+2
-0
Two plates of $$8$$ $$mm$$ thickness each are connected by a fillet weld of $$6$$ $$mm$$ thickness as shown in the figure. The permissible stresses in the plate and the weld are $$150$$ $$MPa$$ and $$110$$ $$MP,$$ respectively. Assuming the length of the weld shown in the figure to be the effective length, the permissible load $$P$$ (in $$kN$$) is _____________.

2
GATE CE 2017 Set 2
+1
-0.3
In a material under a state of plane strain, a 10×10 mm square centered at a point gets deformed as shown in the figure. If the shear strain $$\gamma_{xy}$$ at this point is expressed as 0.001k (in rad), the value of k is
A
0.50
B
0.25
C
-0.25
D
-0.50
3
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
$${S_p} < {S_Q} < {S_R};{M_P} < {M_Q} < {M_R}$$
4
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 ___________
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