GATE AE concept:stress PYQs & Answers — Page 2

Questions 11–20 of 36. Imported answers require independent review unless marked reviewed.

The state of stress at a point is caused by two separate loading cases. One of them produces a pure uniaxial tension along the

direction, and other one produces a pure uniaxial compression along the

direction, as shown in the figure. The sum of maximum and minimum principal stresses for the resultant state of stress caused by both loads acting simultaneously is __________ N/mm

(rounded off to 1 decimal place).

Diagram for Aerospace Engineering question 52

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Which of the following statement(s) is/are true about the state of stress in a plane?

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

Maximum or major principal stress is algebraically the largest direct stress at a point.

The magnitude of minor principal stress cannot be greater than the magnitude of major principal stress.

The planes of maximum shear stress are inclined at 90 degrees to the principal axes.

The normal stresses along the planes of maximum shear stress are equal.

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The thickness of a uniform hollow circular shaft is equal to the difference between the outer radius and the inner radius. The ratio of the inner diameter to outer diameter of the shaft is 0.5. For the shaft reacting to an applied torque, the ratio of the maximum shear stress

to the maximum shear stress

obtained using the thin-wall approximation is ______. (round off to one decimal place)

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A beam with a symmetrical T-shaped cross-section, as shown in the figure, is subjected to pure bending. The maximum magnitude of the normal stress is realised:

Diagram for Aerospace Engineering question 20

Your answerChoose one option.

only at the top fibres of the cross-section

only at the bottom fibres of the cross-section

both at the top and bottom fibres of the cross-section

only at the central fibres of the cross-section

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Let

and

represent the normal stress and shear stress on a plane, respectively. The Mohr circle(s) that may possibly represent the state of stress at points in a beam of rectangular cross-section under pure bending is/are:

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

Diagram for Aerospace Engineering question 28

Diagram for Aerospace Engineering question 28 (figure 2)

Diagram for Aerospace Engineering question 28 (figure 3)

Diagram for Aerospace Engineering question 28 (figure 4)

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An isotropic linear elastic material point under plane strain condition in the x-y plane always obeys:

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

out-of-plane normal strain,

out-of-plane normal stress,

out-of-plane shear stress,

out-of-plane shear strain,

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The two-dimensional plane-stress state at a point is:

The normal stress,

, on a plane inclined 45° as shown in the figure is ___

(round off to the nearest integer).

Diagram for Aerospace Engineering question 33

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Given: The tip deflection and tip slope for a tip loaded cantilever of length

are:

and

, respectively, where

is the tip force and

is the flexural rigidity.

A cantilever

of rectangular cross-section is subjected to transverse load,

, at its mid-point. Two cases are considered as shown in the figure. In Case I, the end

is free and in Case II,

is simply supported.

The ratio of the magnitude of the maximum bending stress at

in Case I to that in Case II is ______ (rounded off to one decimal place).

Diagram for Aerospace Engineering question 57

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A simply supported Aluminium column of length 1 m and rectangular cross-section

with

, is subjected to axial compressive loading.

Young’s modulus is 70 GPa. Yield stress under uniaxial compression is 120 MPa.

The value of

at which the failure load for yielding and buckling coincide is ______ mm.

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A 0.5 m long thin-walled circular shaft of radius 2 cm is to be designed for an axial load of 7.4 kN and a torque of 148 Nm applied at its tip, as shown in the figure.

The allowable stress under uniaxial tension is 100 MPa.

Using maximum principal stress criterion, the minimum thickness,

, of the shaft so that it does not fail is ______ mm (rounded off to the nearest integer).

Diagram for Aerospace Engineering question 59

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GATE AE concept:stress PYQs

Question 52

Question 26

Question 48

Question 20

Question 28

Question 29

Question 33

Question 57

Question 58

Question 59