1
GATE CE 2016 Set 2
MCQ (Single Correct Answer)
+2
-0.6
Consider the structural system shown in the figure under the action of weight $$W.$$ All the joints are hinged. The properties of the members in terms of length $$(L),$$ area $$(A)$$ and the modulus of elasticity $$(E)$$ are also given in the figure. Let $$L,A$$ and $$E$$ be $$1$$ $$m,$$ $$0.05$$ $${m^2}$$ and $$30 \times {10^6}\,\,N/{m^2},\,\,$$ respectively, and $$W$$ be $$100$$ $$kN.$$ GATE CE 2016 Set 2 Structural Analysis - Energy Principle Question 1 English

Which one of the following sets gives the correct values of the force, stress and change in length of the horizontal member $$QR$$?

A
Compressive force $$=25$$ $$kN;$$
Stress $$ = 250\,kN/{m^2},$$
Shortening $$=0.0118$$ $$m$$
B
Compressive force $$=14.14$$ $$kN;$$
Stress $$ = 141.4\,kN/{m^2},$$
Shortening $$=0.0118$$ $$m$$
C
Compressive force $$=100$$ $$kN;$$
Stress $$ = 1000\,kN/{m^2},$$
Shortening $$=0.0417$$ $$m$$
D
Compressive force $$=100$$ $$kN;$$
Stress $$ = 1000\,kN/{m^2},$$
Shortening $$=0.0417$$ $$m$$
2
GATE CE 2016 Set 2
MCQ (Single Correct Answer)
+2
-0.6
The portal frame shown in the figure is subjected to a uniformly distributed vertical load $$w$$ (per unit length). GATE CE 2016 Set 2 Structural Analysis - Moment Distribution Method Question 16 English

The bending moment in the beam at the joint $$'Q'$$ is

A
Zero
B
$${{w{L^2}} \over {24}}\,\,$$ (hogging)
C
$${{w{L^2}} \over {12}}\,\,$$(hogging)
D
$${{w{L^2}} \over {8}}\,\,$$ (sagging)
3
GATE CE 2016 Set 2
MCQ (Single Correct Answer)
+2
-0.6
A fixed-end beam is subjected to a concentrated load $$(P)$$ as shown in the figure. The beam has two different segments having different plastic moment capacities $$\left( {{M_P},\,2{M_P}} \right)$$ as shown. GATE CE 2016 Set 2 Structural Analysis - Plastic Analysis Question 16 English

The minimum value of load $$(P)$$ at which the beam would collapse (ultimate load) is

A
$$7.5\,\,{M_P}/L$$
B
$$5.0\,\,{M_P}/L$$
C
$$4.5\,\,{M_P}/L$$
D
$$2.5\,\,{M_P}/L$$
4
GATE CE 2016 Set 2
Numerical
+2
-0
A motorist traveling at 100 km/h on a highway needs to take the next exit, which has a speed limit of 50 km/h. The section of the roadway before the ramp entry has a downgrade of 3% and coefficient of friction ( f ) is 0.35. In order to enter the ramp at the maximum allowable speed limit, the braking distance (expressed in m) from the exit ramp is ______
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