Engineering Sciences
GATE XE topic:solid-mechanics PYQs
Build your understanding with focused practice from past exam papers.
Questions 21–30 of 133. Imported answers require independent review unless marked reviewed.
Question 80
Open questionXE-DMSQ2 marksNeeds review
An infinitesimal square element PQRS is shown in the figure. The x and y axes are also marked in the figure. The strains on the element are given by
and
Which of the following statements is/are CORRECT?
Your answerSelect all correct options. You can choose more than one.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 81
Open questionXE-DMSQ2 marksNeeds review
The figure shows the stress distribution across an internal surface of a rectangular beam of height 30 mm and depth 10 mm. The normal stress distribution is given by the expression
; y is the distance in mm from the centroidal axis of the beam. Assume that there is no variation in the stress distribution along the z-direction. Which of the following statements is/are CORRECT? 
Your answerSelect all correct options. You can choose more than one.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 82
Open questionXE-DNAT2 marksNeeds review
A vertical column fixed at one end is subjected to a compressive axial load at the free end. The column’s section modulus, EI, is
and the cross-section area is
. The length of the column is 2 m. The yield stress of the material is 145 MPa. If the column can fail either in buckling or by Tresca’s criterion, the maximum load that the structure can safely sustain is ____ kN (rounded off to one decimal place).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 83
Open questionXE-DNAT2 marksNeeds review
A simply-supported beam, with a point load P = 150 kN at a distance of L/3 from the left end, is shown in the figure. The elastic-strain energy (U) of the beam is given by the following expression:
where the section modulus, EI, is 16.66 × 10⁵ Nm² and the length of the beam L is 1 m. The deflection at the loading point is ____ mm (rounded off to two decimal places).
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 84
Open questionXE-DNAT2 marksNeeds review
A simply-supported beam has a circular cross-section with a diameter of 20 mm, area of 314.2 mm², area moment of inertia of 7854 mm⁴ and a length L of 4 m. A point load P = 100 N acts at the center and an axial load Q = 20 kN acts through the centroidal axis as shown in the figure. The magnitude of the offset between the neutral axis and the centroidal axis, at L/2 from the left, is __________ mm (rounded off to one decimal place).
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 87
Open questionXE-DNAT2 marksNeeds review
A bar of length L = 1 m is fixed at one end. Before heating its free end has a gap of δ = 0.1 mm from a rigid wall as shown in the figure. Now the bar is heated resulting in a uniform temperature rise of 10 °C. The coefficient of linear thermal expansion of the material is 20 × 10⁻⁶ /°C and the Young’s modulus of elasticity is 100 GPa. Assume that the material properties do not change with temperature. The magnitude of the resulting axial stress on the bar is ____ MPa (in integer).
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 66
Open questionXE-DMCQ1 markNeeds review
The engineering stress (σ) vs. engineering strain (ε) curve obtained by conducting uniaxial tension test on a steel specimen is shown in the figure (the sketched curve is not to the scale). The specimen exits cup-and-cone failure within its gage length. Which point on the curve corresponds to the beginning of necking in the test specimen?
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 70
Open questionXE-DMCQ1 markNeeds review
A simply-supported beam of rectangular cross-section (width
and height
) is subjected to the loads as shown in the figure (i). The enlarged view of the beam cross-section is shown in figure (ii). The coordinate system is indicated in the figures. Assuming Euler-Bernoulli beam approximation, the shear stress
and normal stress
at the origin, O are respectively given by 
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 72
Open questionXE-DMSQ1 markNeeds review
A solid circular shaft of diameter 100 mm is subjected to a torque
kNm. Which of the following statements about the state of stress in the shaft is/are correct?Your answerSelect all correct options. You can choose more than one.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 73
Open questionXE-DNAT1 markNeeds review
A spring is connected to an elastic bar as shown in the figure. The spring has a stiffness constant of
N/m. The bar is 70 mm long, and has an area of cross-section 10 mm
. The Young’s modulus of the bar material is 70,000 MPa. A force F = 5000 N is applied at point O along the axis of the bar and the spring. The resulting deflection of Point O in mm (rounded to one decimal place) is _____ 
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer