GATE ME topic:solid-mechanics PYQs & Answers — Page 2

Questions 11–20 of 90. Imported answers require independent review unless marked reviewed.

Which of the following beam(s) is/are statically indeterminate?

Your answerSelect all correct options. You can choose more than one.

Diagram for Mechanical Engineering question 41

[Beam diagram: pin support at left end, roller support near right end, with downward loads P₁ and P₂.]

Diagram for Mechanical Engineering question 41 (figure 2)

[Beam diagram: pin support at left end, roller support near right end, applied couple M at the right end.]

Diagram for Mechanical Engineering question 41 (figure 3)

[Beam diagram: pin support at left end and two roller supports near the right end, with downward loads P₁ and P₂.]

Diagram for Mechanical Engineering question 41 (figure 4)

[Beam diagram: fixed support at left end, roller support near right end, applied couple M and downward load P.]

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A horizontal beam of length 1200 mm is pinned at the left end and is resting on a roller at the other end as shown in the figure. An linearly varying distributed load is applied on the beam. The magnitude of maximum bending moment acting on the beam is ________ N.m. (round off to 1 decimal place)

Diagram for Mechanical Engineering question 53

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A solid massless cylindrical member of 50 mm diameter is rigidly attached at one end, and is subjected to an axial force

kN and a torque

N.m at the other end as shown. Assume that the axis of the cylinder is normal to the support. Considering distortion energy theory with allowable yield stress as 300 MPa, the factor of safety in the design is ____ (rounded off to 1 decimal place).

Diagram for Mechanical Engineering question 56

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The figure shows a thin cylindrical pressure vessel constructed by welding plates together along a line that makes an angle

with the horizontal. The closed vessel has a wall thickness of 10 mm and diameter

of 2 m. When subjected to an internal pressure of 200 kPa, the magnitude of the normal stress acting on the weld is ________ MPa (rounded off to 1 decimal place).

Diagram for Mechanical Engineering question 57

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The effective stiffness of a cantilever beam of length

and flexural rigidity

subjected to a transverse tip load

Diagram for Mechanical Engineering question 16

Your answerChoose one option.

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A beam is undergoing pure bending as shown in the figure. The stress (

)-strain (

) curve for the material is also given. The yield stress of the material is

. Which of the option(s) given represent(s) the bending stress distribution at cross-section AA after plastic yielding?

Diagram for Mechanical Engineering question 24

Your answerSelect all correct options. You can choose more than one.

Diagram for Mechanical Engineering question 24 (figure 2)

Diagram for Mechanical Engineering question 24 (figure 3)

Diagram for Mechanical Engineering question 24 (figure 4)

Diagram for Mechanical Engineering question 24 (figure 5)

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The principal stresses at a point P in a solid are 70 MPa, −70 MPa and 0. The yield stress of the material is 100 MPa. Which prediction(s) about material failure at P is/are CORRECT?

Your answerSelect all correct options. You can choose more than one.

Maximum normal stress theory predicts that the material fails

Maximum shear stress theory predicts that the material fails

Maximum normal stress theory predicts that the material does not fail

Maximum shear stress theory predicts that the material does not fail

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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.)

Diagram for Mechanical Engineering question 27

Your answerSelect all correct options. You can choose more than one.

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A beam of length

is loaded in the

-plane by a uniformly distributed load, and by a concentrated tip load parallel to the

-axis, as shown in the figure. The resulting bending moment distributions about the

and the

axes are denoted by

and

, respectively.

Which one of the options given depicts qualitatively CORRECT variations of

and

along the length of the beam?

Diagram for Mechanical Engineering question 39

Your answerChoose one option.

Diagram for Mechanical Engineering question 39 (figure 2)

Diagram for Mechanical Engineering question 39 (figure 3)

Diagram for Mechanical Engineering question 39 (figure 4)

Diagram for Mechanical Engineering question 39 (figure 5)

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The figure shows a thin-walled open-top cylindrical vessel of radius

and wall thickness

. The vessel is held along the brim and contains a constant-density liquid to height

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 (

) and circumferential wall stress (

) on

Diagram for Mechanical Engineering question 40

Your answerChoose one option.

Diagram for Mechanical Engineering question 40 (figure 2)

Diagram for Mechanical Engineering question 40 (figure 3)

Diagram for Mechanical Engineering question 40 (figure 4)

Diagram for Mechanical Engineering question 40 (figure 5)

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GATE ME topic:solid-mechanics PYQs

Question 41

Question 53

Question 56

Question 57

Question 16

Question 24

Question 26

Question 27

Question 39

Question 40