GATE AE concept:stress PYQs & Answers

Questions 1–10 of 36. Imported answers require independent review unless marked reviewed.

The state of stress at a point in a 2-D body, in the x-y Cartesian coordinate system, is represented in matrix form as

. The transformation matrix

rotates the coordinate system to a new x'-y' Cartesian coordinate system. Select the CORRECT option(s) that represent(s) the state of stress in the new coordinate system.

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

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The deformation of an open-section bar subjected to pure torsion can be solved by choosing an appropriate Prandtl stress function. Which of the following statements is/are true about the Prandtl stress function?

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

It satisfies the equilibrium equation

It is zero on the lateral surfaces of the bar

It satisfies the compatibility equation

It does not satisfy the equilibrium equation

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A thin-walled circular tube is made of a material whose magnitude of the ultimate strength, both in tension and compression, is 200 MPa. The mean radius of the tube is 0.2 m and the wall thickness is 0.004 m. Based on the maximum stress criteria, the maximum torque that the tube can sustain is ________ kN-m (round off to the nearest integer).

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A stress field is given by

;

, where

and

are non-zero constants. If the stress field satisfies equilibrium, which one of the following options is correct?

Your answerChoose one option.

There is no body force per unit volume.

There is a constant body force per unit volume in the y-direction.

The body force per unit volume varies linearly in the y-direction.

The direction of the body force per unit volume depends on the value of

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A prismatic vertical column of cross-section

and length

is rigidly fixed at the bottom and free at the top. A compressive force P is applied along the centroidal axis at the top surface. The Young’s modulus of the material is 200 GPa and the uniaxial yield stress is 400 MPa. If the critical value of P for yielding and for buckling of the column are equal, the value of

is ____ (rounded off to one decimal place).

Diagram for Aerospace Engineering question 58

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A thin flat plate is subjected to the following stresses:

MPa;

MPa.

Factor of safety is defined as the ratio of the yield stress to the applied stress. The yield stress of the material under uniaxial tensile load is 250 MPa. The factor of safety for the plate assuming that material failure is governed by the von Mises criterion is ____ (rounded off to two decimal places).

Diagram for Aerospace Engineering question 59

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The three-dimensional stress-strain relationship for an isotropic material is given as

where P, Q and R are the three elastic constants,

and

represent normal and shear stresses and

and

represent normal and engineering shear strains. Which one of the following options is correct?

Your answerChoose one option.

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Which of the following options is/are correct?

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

The stress-strain graph for a nonlinear elastic material is as shown in the figure

Diagram for Aerospace Engineering question 25

Material properties are independent of position in a homogeneous material

An isotropic material has infinitely many planes of material symmetry

The stress-strain graph for a linear elastic material is

Diagram for Aerospace Engineering question 25 (figure 2)

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A material has Poisson’s ratio

and Young’s modulus E=2500 MPa. The percentage change in its volume when subjected to a hydrostatic stress of magnitude 10 MPa is _____ (answer in integer).

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The figure shows plots of two yield loci for an isotropic material, where

and

are the principal stresses, and

is the yield stress in uniaxial tension. Which of the following statements is/are correct?

Diagram for Aerospace Engineering question 46

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

Criterion P presents the von Mises criterion

Criterion Q presents the Tresca criterion

Criterion P presents the Tresca criterion

Criterion Q presents the von Mises criterion

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GATE AE concept:stress PYQs

How to practice concept:stress

Question 26

Question 45

Question 58

Question 28

Question 58

Question 59

Question 13

Question 25

Question 32

Question 46