GATE CE topic:solid-mechanics PYQs & Answers — Page 5

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Questions 41–50 of 61. Imported answers require independent review unless marked reviewed.

Topic practice 61 questionsPage 5 of 7

A closed thin-walled tube has thickness,

, mean enclosed area within the boundary of the centerline of tube’s thickness,

, and shear stress,

. Torsional moment of resistance,

, of the section would be

Your answerChoose one option.

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An element is subjected to biaxial normal tensile strains of 0.003 and 0.002. The normal strain in the plane of maximum shear strain is

Your answerChoose one option.

Zero

0.0010

0.0025

0.0050

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For a channel section subjected to a downward vertical shear force at its centroid, which one of the following represents the correct distribution of shear stress in flange and web?

Your answerChoose one option.

Diagram for Civil Engineering question 8

Diagram for Civil Engineering question 8 (figure 2)

Diagram for Civil Engineering question 8 (figure 3)

Diagram for Civil Engineering question 8 (figure 4)

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For a plane stress problem, the state of stress at a point P is represented by the stress element as shown in figure.

Diagram for Civil Engineering question 29

By how much angle (

) in degrees the stress element should be rotated in order to get the planes of maximum shear stress?

Diagram for Civil Engineering question 29 (figure 2)

Your answerChoose one option.

13.3

26.6

31.7

48.3

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The cross-section of a built-up wooden beam as shown in the figure (not drawn to scale) is subjected to a vertical shear force of 8 kN. The beam is symmetrical about the neutral axis (N.A.) shown, and the moment of inertia about N.A. is

. Considering that the nails at the location P are spaced longitudinally (along the length of the beam) at 60 mm, each of the nails at P will be subjected to the shear force of

Diagram for Civil Engineering question 31

Your answerChoose one option.

60 N

120 N

240 N

480 N

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If the section shown in the figure turns from fully-elastic to fully-plastic, the depth of neutral axis (N.A.),

, decreases by

Diagram for Civil Engineering question 33

Your answerChoose one option.

10.75 mm

12.25 mm

13.75 mm

15.25 mm

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A column of height h with a rectangular cross-section of size a×2a has a buckling load of P. If the cross-section is changed to 0.5a × 3a and its height changed to 1.5h, the buckling load of the redesigned column will be

Your answerChoose one option.

P/12

P/4

P/2

3P/4

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A structural member subjected to compression, has both translation and rotation restrained at one end, while only translation is restrained at the other end. As per IS 456 : 2000, the effective length factor recomended for design is

Your answerChoose one option.

0.50

0.65

0.70

0.80

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A solid circular beam with radius of 0.25 m and length of 2 m is subjected to a twisting moment of 20 kNm about the z-axis at the free end, which is the only load acting as shown in the figure. The shear stress component

at Point ‘M’ in the cross-section of the beam at a distance of 1 m from the fixed end is

Your answerChoose one option.

0.0 MPa

0.51 MPa

0.815 MPa

2.0 MPa

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A cantilever beam of length 2 m with a square section of side length 0.1 m is loaded vertically at the free end. The vertical displacement at the free end is 5 mm. The beam is made of steel with Young’s modulus of 2.0×10

N/m

. The maximum bending stress at the fixed end of the cantilever is

Your answerChoose one option.

20.0 MPa

37.5 MPa

60.0 MPa

75.0 MPa

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GATE CE topic:solid-mechanics PYQs

Question 5

Question 6

Question 8

Question 29

Question 31

Question 33

Question 4

Question 6

Question 8

Question 27