GATE CE Solid Mechanics PYQs & Answers — Page 3

Questions 21–30 of 61. Imported answers require independent review unless marked reviewed.

The infinitesimal element shown in the figure (not to scale) represents the state of stress at a point in a body. What is the magnitude of the maximum principal stress (in N/mm

, in integer) at the point? ______________________________

Diagram for Civil Engineering question 53

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The cross-section of a girder is shown in the figure (not to scale). The section is symmetric about a vertical axis (Y-Y). The moment of inertia of the section about the horizontal axis (X-X) passing through the center is ______ cm

(round off to nearest integer).

Diagram for Civil Engineering question 55

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A 2D thin plate with modulus of elasticity,

N/m

, and Poisson’s ratio,

, is in plane stress condition. The displacement field in the plate is given by

and

, where

and

are displacements (in m) along the

and

directions, respectively, and

is a constant (in m

). The distances x and y along

and

, respectively, are in m. The stress in the

direction is

N/m

, and the shear stress is

N/m

. What is the value of

(in N/m

, in integer)? ____________

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The hoop stress at a point on the surface of a thin cylindrical pressure vessel is computed to be 30.0 MPa. The value of maximum shear stress at this point is

Your answerChoose one option.

7.5 MPa

15.0 MPa

30.0 MPa

22.5 MPa

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

For a linear elastic and isotropic material, the correct relationship among Young’s modulus of elasticity (

), Poisson’s ratio (

), and shear modulus (

) is

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider the cross-section of a beam made up of thin uniform elements having thickness

(

) shown in the figure. The

coordinates of the points along the center-line of the cross-section are given in the figure. The coordinates of the shear center of this cross-section are:

Diagram for Civil Engineering question 16

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The components of pure shear strain in a sheared material are given in the matrix form:

Here,

. Given,

and

The numerical value of

is ________ (in integer)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A semi-circular bar of radius

m, in a vertical plane, is fixed at the end G, as shown in the figure. A horizontal load of magnitude

kN is applied at the end H. The magnitude of the axial force, shear force, and bending moment at point Q for

, respectively, are

Diagram for Civil Engineering question 37

Your answerChoose one option.

kN,

kN, and

kNm

kN,

kN, and 0 kNm

0 kN,

kN, and

kNm

kN, 0 kN, and

kNm

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider two linearly elastic rods

and

, each of length

, as shown in the figure. The rods are co-linear, and confined between two fixed supports at

and

. Both the rods are initially stress free. The coefficient of linear thermal expansion is

for both the rods. The temperature of the rod

is raised by

, whereas the temperature of rod

remains unchanged. An external horizontal force

is now applied at the node

. It is given that

. The axial rigidities of the rods

and

are

and

, respectively.

Diagram for Civil Engineering question 50

To make the axial force in rod

equal to zero, the value of the external force

(in N) is ________. (round off to the nearest integer)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A solid circular torsional member OPQ is subjected to torsional moments as shown in the figure (not to scale).

Diagram for Civil Engineering question 19

The yield shear strength of the constituent material is 160 MPa.

The absolute maximum shear stress in the member (in MPa, round off to one decimal place) is

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE CE Solid Mechanics PYQs

Question 53

Question 55

Question 56

Question 13

Question 13

Question 16

Question 30

Question 37

Question 50

Question 19