Engineering Mechanics - Structural Engineering - Civil Engineering Previous Year Questions

1

2014 · Civil Engineering · Structural Engineering · Engineering Mechanics

Civil Engineering (CE) 2014 [Session 1]

A box of weight 100 kN shown in the figure is to be lifted without swinging. If all forces are coplanar, the magnitude and direction (θ) of the force (F) with respect to x-axis should be

A

\(F = 56.389\) kN and \(θ = 28.28°\)

B

\(F = -56.389\) kN and \(θ = -28.28°\)

C

\(F = 9.055\) kN and \(θ = 1.414°\)

D

\(F = -9.055\) kN and \(θ = -1.414°\)

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2

2016 · Civil Engineering · Structural Engineering · Engineering Mechanics

Civil Engineering (CE) 2016 [Session 2]

An assembly made of a rigid arm A-B-C hinged at end A and supported by an elastic rope C-D at end C is shown in the figure. The members may be assumed to be weightless and the lengths of the respective members are as shown in the figure.

Under the action of a concentrated load P at C as shown, the magnitude of tension developed in the rope is

A

\(\frac{3P}{\sqrt{2}} \)

B

\(\frac{P}{\sqrt{2}} \)

C

\(\frac{3P}{8} \)

D

\(\sqrt{2}P \)

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3

2018 · Civil Engineering · Structural Engineering · Engineering Mechanics

Civil Engineering (CE) 2018 [Session 2]

Two rigid bodies of mass 5 kg and 4 kg are at rest on a frictionless surface until acted upon by a force of 36 N as shown in the figure. The contact force generated between the two bodies is

A

4.0 N

B

7.2 N

C

9.0 N

D

16.0 N

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4

2018 · Civil Engineering · Structural Engineering · Engineering Mechanics

Civil Engineering (CE) 2018 [Session 2]

A cable PQ of length 25 m is supported at two ends at the same level as shown in the figure. The horizontal distance between the supports is 20 m. A point load of 150 kN is applied at point R which divides it into two equal parts.

Neglecting the self-weight of the cable, the tension (in kN, in integer value) in the cable due to the applied load will be ______

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5

2022 · Civil Engineering · Structural Engineering · Engineering Mechanics

Civil Engineering (CE) 2022 [Session 2]

An undamped spring-mass system with mass \(m\) and spring stiffness \(k\) is shown in the figure. The natural frequency and natural period of this system are \(\omega\) rad/s and \(T\) s, respectively. If the stiffness of the spring is doubled and the mass is halved, then the natural frequency and the natural period of the modified system, respectively, are

A

\(2\omega\) rad/s and \(T/2\) s

B

\(\omega/2\) rad/s and \(2T\) s

C

\(4\omega\) rad/s and \(T/4\) s

D

\(\omega\) rad/s and \(T\) s

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6

2022 · Civil Engineering · Structural Engineering · Engineering Mechanics

Civil Engineering (CE) 2022 [Session 2]

A uniform rod $KJ$ of weight $w$ shown in the figure rests against a frictionless vertical wall at the point $K$ and a rough horizontal surface at point $J$. It is given that $w = 10$ kN, $a=4$ m and $b=3$ m. The minimum coefficient of static friction that is required at the point $J$ to hold the rod in equilibrium is ______. (round off to three decimal places)

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7

2024 · Civil Engineering · Structural Engineering · Engineering Mechanics

Civil Engineering (CE) 2024 [Session 2]

A 3 m long, horizontal, rigid, uniform beam PQ has negligible mass. The beam is subjected to a 3 kN concentrated vertically downward force at 1 m from P, as shown in the figure. The beam is resting on vertical linear springs at the ends P and Q. For the spring at the end P, the spring constant \( K_P = 100 \) kN/m.
If the beam DOES NOT rotate under the application of the force and displaces only vertically, the value of the spring constant \( K_Q \) (in kN/m) for the spring at the end Q is

A

150

B

100

C

50

D

200

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8

2025 · Civil Engineering · Structural Engineering · Engineering Mechanics

Civil Engineering (CE) 2025 [Session 1]

Consider the rigid bar ABC supported by the pin-jointed links BD and CE and subjected to a load P at the end A, as shown in the figure. The axial rigidities of BD and CE are 22500 kN and 15000 kN, respectively. If CE elongates by 5 mm due to the load P, the magnitude of the downward deflection (in mm) of the end A would be ______ (rounded off to the nearest integer).

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9

2013 · Civil Engineering · Structural Engineering · Engineering Mechanics

Civil Engineering (CE) 2013

A uniform beam weighing 1800 N is supported at E and F by cable ABCD. Determine the tension (in N) in segment AB of this cable (correct to 1-decimal place). Assume the cables ABCD, BE and CF to be weightless. ______

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10

2026 · Civil Engineering · Structural Engineering · Engineering Mechanics

Civil Engineering (CE) 2026

Two identical blocks A and B are connected by a rigid rod. The blocks rest against vertical and horizontal planes, as shown in the figure. The coefficient of static friction at the vertical and horizontal planes is the same. If the sliding impends when \( \theta = 45^\circ \), the value of the coefficient of static friction is _____ (rounded off to two decimal places).

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