1
GATE CE 2022 Set 2
Numerical
+2
-0.67

The linearly elastic planar structure shown in the figure is acted upon by two vertical concentrated forces. The horizontal beams UV and WX are connected with the help of the vertical linear spring with spring constant k = 20 kN/m. The fixed supports are provided at U and X. It is given that flexural rigidity EI = 105 kN-m2, P = 100 kN, and a = 5 m. Force Q is applied at the center of beam WX such that the force in the spring VW becomes zero.

GATE CE 2022 Set 2 Strength of Materials Or Solid Mechanics - Deflection of Beams Question 3 English

The magnitude of force Q (in kN) is __________. (round off to the nearest integer)

Your input ____
2
GATE CE 2022 Set 2
MCQ (Single Correct Answer)
+1
-0.33

For the square steel beam cross-section shown in the figure, the shape factor about Z - Z axis is S and the plastic moment capacity is Mp. Consider yield stress fy = 250 MPa and a = 100 mm.

GATE CE 2022 Set 2 Structural Analysis - Plastic Analysis Question 1 English

The values of S and Mp (rounded off to one decimal place) are

A
S = 2.0, Mp = 100.2 kN-m
B
S = 1.5, Mp = 58.9 kN-m
C
S = 2.0, Mp = 58.9 kN-m
D
S = 1.5, Mp = 100.2 kN-m
3
GATE CE 2022 Set 2
MCQ (More than One Correct Answer)
+2
-0.67

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.
4
GATE CE 2022 Set 2
MCQ (Single Correct Answer)
+1
-0.33

Consider a beam PQ fixed at P, hinged at Q, and subjected to a load F as shown in figure (not drawn to scale). The static and kinematic degrees of indeterminacy, respectively are

GATE CE 2022 Set 2 Structural Analysis - Stability and Static Indeterminacy Question 2 English

A
2 and 0
B
2 and 2
C
1 and 2
D
2 and 1
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