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1
GATE CE 2023 Set 2
Numerical
+2
-0

An idealised frame supports a load as shown in the figure. The horizontal component of the force transferred from the horizontal member PQ to the vertical member RS at P is _______ N (round off to one decimal place).

GATE CE 2023 Set 2 Structural Analysis - Energy Principle Question 2 English
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2
GATE CE 2022 Set 2
MCQ (More than One Correct Answer)
+2
-0

Which of the following statements is/are correct?

A
If a structure is acted upon by two force system Pa and Pb, in equilibrium separately, the external virtual work done by a system forces Pb during the deformations caused by another system of forces Pa is equal to the external virtual work done by the Pa system during the deformation caused by the Pb system.
B
If a linearly elastic structure is subjected to a set of loads, the partial derivative of the total strain energy with respect to the load at any point is equal to the deflection at that point.
C
The shear force in a conjugate beam loaded by the M/El diagram of the real beam is equal to the corresponding deflection of the real beam.
D
If a linearly elastic structure is subjected to a set of loads the partial derivative of the total strain energy with respect to the deflection at any point is equal to the load applied at that point.
3
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 4 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 $$=0.0417$$ $$m$$
4
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 5 English
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