GATE AE concept:stress PYQs & Answers — Page 3

Questions 21–30 of 36. Imported answers require independent review unless marked reviewed.

Uniaxial tension test (see the figure) is conducted on two different samples prepared with homogeneous, isotropic materials. One of the materials is brittle, whereas the other is ductile.

Diagram for Aerospace Engineering question 10

Assuming that there is no stress concentration at loading points, the failure would initiate:

Your answerChoose one option.

along x-x in both materials

along x-x in brittle material and along y-y in ductile material

along y-y in brittle material and along x-x in ductile material

along y-y in both materials

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For the state of stress as shown in the figure, what is the orientation of the plane with maximum shear stress with respect to the x-axis?

Diagram for Aerospace Engineering question 11

Your answerChoose one option.

45°

-45°

22.5°

-22.5°

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A load

is applied to the free end of a stepped cantilever beam as shown in the figure. The Young’s modulus of the material is

, and the moments of inertia of the two sections of length 2 m and 1 m are

and

, respectively. Ignoring transverse shear and stress concentration effects, the deflection at the point where the load is applied at the free end of the cantilever is

Diagram for Aerospace Engineering question 29

Your answerChoose one option.

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The three dimensional strain-stress relation for an isotropic material, written in a general matrix form, is

and

are compliances which depend on the elastic properties of the material. Which one of the following is correct?

Your answerChoose one option.

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For the state of stress shown in the figure, which one of the following represents the correct free body diagram showing the maximum shear stress and the associated normal stresses?

Diagram for Aerospace Engineering question 34

Your answerChoose one option.

Diagram for Aerospace Engineering question 34 (figure 2)

Diagram for Aerospace Engineering question 34 (figure 3)

Diagram for Aerospace Engineering question 34 (figure 4)

Diagram for Aerospace Engineering question 34 (figure 5)

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A solid circular shaft, made of ductile material with yield stress

MPa, is subjected to a torque of 10 kNm. Using the Tresca failure theory, the smallest radius of the shaft to avoid failure is ______ cm (round off to two decimal places).

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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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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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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 concept:stress PYQs

Question 10

Question 11

Question 29

Question 30

Question 34

Question 42

Question 24

Question 52

Question 29

Question 31