1
GATE CE 2023 Set 2
Numerical
+2
-0
A 2D thin plate with modulus of elasticity, 𝐸 = 1.0 N/m2, and Poisson’s ratio, πœ‡ = 0.5, is in plane stress condition. The displacement field in the plate is given by 𝑒 = 𝐢π‘₯2𝑦 and 𝑣 = 0, where 𝑒 and 𝑣 are displacements (in m) along the 𝑋 and π‘Œ directions, respectively, and 𝐢 is a constant (in mβˆ’2). The distances x and y along X and Y, respectively, are in m. The stress in the 𝑋 direction is πœŽπ‘‹π‘‹ = 40π‘₯𝑦 N/m2, and the shear stress is πœπ‘‹π‘Œ = 𝛼π‘₯2 N/m2. What is the value of 𝛼 (in N/m4, in integer)? ________
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2
GATE CE 2023 Set 2
MCQ (Single Correct Answer)
+1
-0.33
Muller-Breslau principle is used in analysis of structures for ________.
A
drawing an influence line diagram for any force response in the structure
B
writing the virtual work expression to get the equilibrium equation
C
superposing the load effects to get the total force response in the structure
D
relating the deflection between two points in a member with the curvature diagram in-between 
3
GATE CE 2023 Set 2
Numerical
+2
-0

For the frame shown in the figure (not to scale), all members (AB, BC, CD, GB, and CH) have the same length, 𝐿 and flexural rigidity, 𝐸𝐼. The joints at B and C are rigid joints, and the supports A and D are fixed supports. Beams GB and CH carry uniformly distributed loads of 𝑀 per unit length. The magnitude of the moment reaction at A is 𝑀𝐿2β„π‘˜. What is the value of π‘˜ (in integer)? ____________

GATE CE 2023 Set 2 Structural Analysis - Methods of Analysis Question 1 English
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4
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 1 English
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