Strength of Materials Or Solid Mechanics
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).

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.

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)

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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GATE CE Subjects
Engineering Mechanics
Strength of Materials Or Solid Mechanics
Structural Analysis
Construction Material and Management
Reinforced Cement Concrete
Steel Structures
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
Hydrology
Irrigation
Geomatics Engineering Or Surveying
Environmental Engineering
Transportation Engineering
Engineering Mathematics
General Aptitude