1
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 2 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
2
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)? ________
Your input ____
3
GATE CE 2023 Set 1
Numerical
+2
-0

The infinitesimal element shown in the figure (not to scale) represents the state of stress at a point in a body. What is the magnitude of the maximum principal stress (in N/mm2, in integer) at the point? ________

GATE CE 2023 Set 1 Strength of Materials Or Solid Mechanics - Complex Stress Question 3 English
Your input ____
4
GATE CE 2016 Set 2
MCQ (Single Correct Answer)
+2
-0.6
For the stress state (in MPa) shown in the figure, the major principal stress is 10 MPa. GATE CE 2016 Set 2 Strength of Materials Or Solid Mechanics - Complex Stress Question 9 English

The shear stress $$\tau $$ is

A
$$10.0$$ $$MPa$$
B
$$5.0$$ $$MPa$$
C
$$2.5$$ $$MPa$$
D
$$0.0$$ $$MPa$$
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