1
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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2
GATE CE 2017 Set 2
MCQ (Single Correct Answer)
+2
-0.6
Consider the three prismatic beams with the clamped supports $$P,Q$$ and $$R$$ as shown in the figures. GATE CE 2017 Set 2 Strength of Materials Or Solid Mechanics - Shear Force and Bending Moment Question 5 English

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
$${S_p} < {S_Q} < {S_R};{M_P} < {M_Q} < {M_R}$$
3
GATE CE 2017 Set 2
MCQ (Single Correct Answer)
+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. GATE CE 2017 Set 2 Strength of Materials Or Solid Mechanics - Simple Stresses Question 10 English 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
4
GATE CE 2017 Set 2
Numerical
+2
-0
Consider the portal frame shown in the figure and assume the modulus of elasticity, $$E = \,2.5 \times {10^4}\,\,MPa$$ and the moment of inertia, $${\rm I} = 8 \times {10^8}\,\,m{m^4}$$ for all the members of the frame. GATE CE 2017 Set 2 Structural Analysis - Slope Deflection Method Question 1 English

The rotation (in degrees, up to decimal place) at the rigid joint $$Q$$ would be ____________

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