1
GATE ME 2023
MCQ (More than One Correct Answer)
+1
-0

Which of the plot(s) shown is/are valid Mohr’s circle representations of a plane stress state in a material? (The center of each circle is indicated by O.)

GATE ME 2023 Strength of Materials - Complex Stresses Question 1 English
A
M1
B
M2
C
M3
D
M4
2
GATE ME 2023
MCQ (Single Correct Answer)
+2
-0.66

A beam of length 𝐿 is loaded in the π‘₯𝑦 βˆ’plane by a uniformly distributed load, and by a concentrated tip load parallel to the 𝑧 βˆ’axis, as shown in the figure. The resulting bending moment distributions about the 𝑦 and the 𝑧 axes are denoted by 𝑀𝑦 and 𝑀𝑧 , respectively.

Which one of the options given depicts qualitatively CORRECT variations of 𝑀𝑦 and 𝑀𝑧 along the length of the beam?

GATE ME 2023 Strength of Materials - Shear Force and Bending Moment Question 1 English
A
GATE ME 2023 Strength of Materials - Shear Force and Bending Moment Question 1 English Option 1
B
GATE ME 2023 Strength of Materials - Shear Force and Bending Moment Question 1 English Option 2
C
GATE ME 2023 Strength of Materials - Shear Force and Bending Moment Question 1 English Option 3
D
GATE ME 2023 Strength of Materials - Shear Force and Bending Moment Question 1 English Option 4
3
GATE ME 2023
MCQ (Single Correct Answer)
+2
-0.66

The figure shows a thin-walled open-top cylindrical vessel of radius π‘Ÿ and wall thickness 𝑑. The vessel is held along the brim and contains a constant-density liquid to height β„Ž from the base. Neglect atmospheric pressure, the weight of the vessel and bending stresses in the vessel walls.

Which one of the plots depicts qualitatively CORRECT dependence of the magnitudes of axial wall stress (Οƒ1) and circumferential wall stress (Οƒ2) on 𝑦? 

GATE ME 2023 Strength of Materials - Thin Cylinders Question 1 English
A
GATE ME 2023 Strength of Materials - Thin Cylinders Question 1 English Option 1
B
GATE ME 2023 Strength of Materials - Thin Cylinders Question 1 English Option 2
C
GATE ME 2023 Strength of Materials - Thin Cylinders Question 1 English Option 3
D
GATE ME 2023 Strength of Materials - Thin Cylinders Question 1 English Option 4
4
GATE ME 2023
MCQ (More than One Correct Answer)
+2
-0

Cylindrical bars P and Q have identical lengths and radii, but are composed of different linear elastic materials. The Young’s modulus and coefficient of thermal expansion of Q are twice the corresponding values of P. Assume the bars to be perfectly bonded at the interface, and their weights to be negligible.

The bars are held between rigid supports as shown in the figure and the temperature is raised by Δ𝑇. Assume that the stress in each bar is homogeneous and uniaxial. Denote the magnitudes of stress in P and Q by Οƒ1 and Οƒ2, respectively.

Which of the statement(s) given is/are CORRECT?

GATE ME 2023 Strength of Materials - Simple Stress and Strain Question 2 English
A
The interface between P and Q moves to the left after heating
B
The interface between P and Q moves to the right after heating
C
Οƒ1 < Οƒ2
D
Οƒ1 = Οƒ2
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