GATE CE Solid Mechanics PYQs & Answers

Questions 1–10 of 61. Imported answers require independent review unless marked reviewed.

A thin-walled spherical gas balloon of radius R and wall thickness t (t<< R) is subjected to an internal (gauge) pressure

. The maximum tensile and shear stresses in the balloon wall are, respectively:

Your answerChoose one option.

Zero and

and Zero

and

and Zero

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Black dot shown in the figure qualitatively represents the shear centre of the angle section. The option which represents the position of the shear centre is:

Your answerChoose one option.

Diagram for Civil Engineering question 14

Diagram for Civil Engineering question 14 (figure 2)

Diagram for Civil Engineering question 14 (figure 3)

Diagram for Civil Engineering question 14 (figure 4)

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A plane strain problem (in X-Y plane) must satisfy the condition:

Your answerChoose one option.

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Which one of the following stress conditions represents the state of pure shear stress?

Your answerChoose one option.

Diagram for Civil Engineering question 17

Diagram for Civil Engineering question 17 (figure 2)

Diagram for Civil Engineering question 17 (figure 3)

Diagram for Civil Engineering question 17 (figure 4)

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Linearly elastic, homogeneous, uniform bars BC and FG shown in the figure have fixed supports at B and G, respectively. For both the bars, axial rigidity is 2000 kN. A gap of 2 mm exists between D and F prior to application of any load (i.e. P = 0). Small deformation and infinitesimal strain assumptions are valid for the given bars.

Diagram for Civil Engineering question 50

The magnitude of the horizontal reaction (in kN) at B after application of the axial force P of 20 kN at C is ______ (rounded off to the nearest integer).

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A homogeneous, linearly elastic rod AB is connected to a linearly elastic spring BC in between the fixed supports at A and C, as shown in the figure. The cross-sectional area, modulus of elasticity, and the coefficient of thermal expansion of the rod AB are 500 mm

, 60 × 10

MPa, and 12 × 10

per °C, respectively. The stiffness (k) of spring BC is 2500 N/mm.

The internal force (in kN) that will develop in the spring BC when the temperature of rod AB is increased by 100 °C is __________ (rounded off to one decimal place).

Diagram for Civil Engineering question 51

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The cross-section of a steel T-beam is shown in the figure where all dimensions are in mm.

Diagram for Civil Engineering question 52

The plastic section modulus of the given cross-section is __________ × 10

(in integer).

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Let the state of stress at a point in a body be the difference of two plane states of stress shown in the figure. Consider all the possible planes perpendicular to the x-y plane and passing through that point. The magnitude of the maximum compressive stress on any such plane is

, where k is equal to _____ (round off to one decimal place).

Diagram for Civil Engineering question 39

Your answerChoose one option.

2.1

1.7

1.5

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For the beam and loading shown in the figure, the second derivative of the deflection curve for the beam at the mid-point of AC is given by

. The value of

is ____________________ (rounded off to the nearest integer).

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Consider the beam section shown in the figure, with

indicating the depth of neutral axis (NA). The section is only subjected to an increasing bending moment. It is given that

mm, when the section has not yielded at the top and bottom fibres. Further,

decreases to 5 mm, when the entire section has yielded. The shape factor of the section is ____________ (rounded off to 2 decimal places).

Diagram for Civil Engineering question 53

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GATE CE Solid Mechanics PYQs

How to practice Solid Mechanics

Question 13

Question 14

Question 16

Question 17

Question 50

Question 51

Question 52

Question 39

Question 50

Question 53