GATE AE topic:solid-mechanics PYQs & Answers — Page 6

Questions 51–60 of 68. Imported answers require independent review unless marked reviewed.

The number of independent elastic constants for a homogeneous isotropic linear elastic material is ______.

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A thin plate with Young’s modulus 210 GPa and Poisson’s ratio 0.3 is loaded as shown in the figure. The change in length along the

-direction is ______ mm (round off to 1 decimal place).

Diagram for Aerospace Engineering question 23

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For the state of stress shown in the figure, the normal stress,

, on a plane inclined at 45 degrees to the x-axis is ______ MPa (round off to the nearest integer).

Diagram for Aerospace Engineering question 24

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For a 1 m long simply supported beam with a concentrated vertical load of 200 N and a concentrated bending moment of 100 Nm at the center as shown in the figure, the correct bending moment diagram is:

Diagram for Aerospace Engineering question 30

Your answerChoose one option.

Diagram for Aerospace Engineering question 30 (figure 2)

Diagram for Aerospace Engineering question 30 (figure 3)

Diagram for Aerospace Engineering question 30 (figure 4)

Diagram for Aerospace Engineering question 30 (figure 5)

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All the bars in the given truss are elastic with Young’s modulus 200 GPa, and have identical cross-sections with moment of inertia 0.1 cm

. The lowest value of the load

at which the truss fails due to buckling is _____ kN (round off to the nearest integer).

Diagram for Aerospace Engineering question 50

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A solid circular shaft is designed to transmit a torque

with a factor of safety of 2. It is proposed to replace the solid shaft by a hollow shaft of the same material and identical outer radius. If the inner radius is half the outer radius, the factor of safety for the hollow shaft is _____ (round off to 1 decimal place).

Diagram for Aerospace Engineering question 51

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In the structure shown in the figure, bars AB and BC are made of identical material and have circular cross-sections of 10 mm radii. The yield stress of the material under uniaxial tension is 280 MPa. Using the von Mises yield criterion, the maximum load along the

-direction (perpendicular to the plane of paper) that can be applied at C, such that AB does not yield is _____ N (round off to the nearest integer).

Diagram for Aerospace Engineering question 52

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A solid circular shaft of diameter d is under pure torsion of magnitude T. The maximum tensile stress experienced at any point on the shaft is

Your answerChoose one option.

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A clamped-clamped beam, subjected to a point load P at the midspan, is shown in the figure below. The magnitude of the moment reaction at the two fixed ends of the beam is

Your answerChoose one option.

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Which of the following statement(s) is/are true about the state of a body in plane strain condition? P: All the points in the body undergo displacements in one plane only, for example the x-y plane, leading to

. Q: All the components of stress perpendicular to the plane of deformation, for example the x-y plane, of the body are equal to zero, i.e.

. R: Except the normal component, all the other components of stress perpendicular to the plane of deformation of the body, for example the x-y plane, are equal to zero, i.e.

Your answerChoose one option.

P only

Q only

P and Q

P and R

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GATE AE topic:solid-mechanics PYQs

Question 22

Question 23

Question 24

Question 30

Question 50

Question 51

Question 52

Question 29

Question 30

Question 31