GATE AE topic:solid-mechanics PYQs & Answers — Page 4

Questions 31–40 of 68. Imported answers require independent review unless marked reviewed.

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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A horizontal load

is applied at point R on a two-member truss, as shown in the figure. Both the members are prismatic with cross-sectional area,

, and made of the same material with Young’s modulus

. The horizontal displacement of point R is:

Diagram for Aerospace Engineering question 41

Your answerChoose one option.

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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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A 10 kN axial load is applied eccentrically on a rod of square cross-section (1 cm

1 cm) as shown in the figure.

The strains measured by the two strain gages attached to the top and bottom surfaces at a distance of 0.5 m from the tip are

and

, respectively.

The eccentricity in loading,

, is ______ mm.

Diagram for Aerospace Engineering question 60

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For a thin-walled I section, the width of the two flanges as well as the web height are the same, i.e.,

mm. Thickness is 0.6 mm.

The second moment of area about a horizontal axis passing through the centroid is ______ mm

Diagram for Aerospace Engineering question 61

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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 thin-walled cylindrical tank with closed ends, made of homogeneous and isotropic material, is pressurized internally. If the hoop (circumferential) strain developed in the material is thrice the value of the axial strain then the Poisson’s ratio of the material is ______ (correct up to one decimal place).

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GATE AE topic:solid-mechanics PYQs

Question 33

Question 41

Question 57

Question 58

Question 59

Question 60

Question 61

Question 10

Question 11

Question 22