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 2015 Set 1
Numerical
+2
-0
For the $$2D$$ truss with the applied loads shown below, the strain energy in the member $$XY$$ is _______________ $$kN$$-$$m$$. For member $$XY$$, assume $$AE = 30$$ $$kN,$$ where $$A$$ is cross-section area and $$E$$ is the modulus of elasticity. GATE CE 2015 Set 1 Structural Analysis - Energy Principle Question 2 English
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3
GATE CE 2014 Set 1
Numerical
+2
-0
For the truss shown below, the member $$PQ$$ is short by $$3$$ $$mm.$$ The magnitude of vertical displacement of joint $$R$$ (in $$mm$$) is ______________________ GATE CE 2014 Set 1 Structural Analysis - Energy Principle Question 3 English
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4
GATE CE 2013
Numerical
+2
-0
A uniform beam ($$EI=$$ constant) $$PQ$$ in the form of a quarter-circle of radius $$R$$ is fixed at end $$P$$ and free at the end $$Q,$$ where a load $$W$$ is applied as shown. The vertical downward displacement, $${\delta _q},$$ at the loaded point $$Q$$ is given by : $${\delta _q} = \beta \left( {{{W{R^3}} \over {EI}}} \right).$$

Find the value of $$\beta $$(correct to $$4-$$decimal places). _____________________

GATE CE 2013 Structural Analysis - Energy Principle Question 6 English
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