1
GATE CE 2025 Set 2
MCQ (Single Correct Answer)
+2
-0.67

Let the state of stress at a point in a body be the difference of two plane states of stress shown in the figure. Consider all the possible planes perpendicular to the $x-y$ plane and passing through that point. The magnitude of the maximum compressive stress on any such plane is $k \sigma_0$, where $k$ is equal to _________ (round off to one decimal place).

GATE CE 2025 Set 2 Strength of Materials Or Solid Mechanics - Complex Stress Question 1 English
A
3.0
B
2.1
C
1.7
D
1.5
2
GATE CE 2024 Set 1
MCQ (Single Correct Answer)
+2
-0.833

Find the correct match between the plane stress states and the Mohr’s circles.

GATE CE 2024 Set 1 Strength of Materials Or Solid Mechanics - Complex Stress Question 5 English
A

(P)-(III); (Q)-(IV); (R)-(I); (S)-(II)

B

(P)-(III); (Q)-(II); (R)-(I); (S)-(IV)

C

(P)-(I); (Q)-(IV); (R)-(III); (S)-(II)

D

(P)-(I); (Q)-(II); (R)-(III); (S)-(IV)

3
GATE CE 2023 Set 2
MCQ (Single Correct Answer)
+2
-0.67

In a two-dimensional stress analysis, the state of stress at a point is shown in the figure. The values of length of PQ, QR, and RP are 4, 3, and 5 units, respectively. The principal stresses are ________. (round off to one decimal place)

GATE CE 2023 Set 2 Strength of Materials Or Solid Mechanics - Complex Stress Question 3 English
A
σx = 26.7 MPa, σy = 172.5 MPa
B
σx = 54.0 MPa, σy = 128.5 MPa
C
σx = 67.5 MPa, σy = 213.3 MPa 
D
σx = 16.0 MPa, σy = 138.5 MPa
4
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, 𝜇 = 0.5, is in plane stress condition. The displacement field in the plate is given by 𝑢 = 𝐶𝑥2𝑦 and 𝑣 = 0, where 𝑢 and 𝑣 are displacements (in m) along the 𝑋 and 𝑌 directions, respectively, and 𝐶 is a constant (in m−2). The distances x and y along X and Y, respectively, are in m. The stress in the 𝑋 direction is 𝜎𝑋𝑋 = 40𝑥𝑦 N/m2, and the shear stress is 𝜏𝑋𝑌 = 𝛼𝑥2 N/m2. What is the value of 𝛼 (in N/m4, in integer)? ________
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