Strength of Material Mock Test - 4 : Practice test for GATE Aerospace-2022 by AERO GATE TOPPER

 Strength of Material 

Here is a quiz to help you prepare your upcoming GATE2022, ISRO, HAL exam. The GATE AE paper has several subjects, each one is equally important. However, one of the most important subjects in GATE AE is Strength of materials. The subject is vast, but practice makes tackling it easy. 

This quiz contains important questions which match the pattern of the GATE, ISRO & HAL exams. Check your preparation level in every chapter of Strength of materials for GATE by taking the quiz and comparing your ranks. Learn about Stress, Strain , Shaft, Buckling and more! 

To know whether you have achieved the required preparation or test your time management as per the question pattern within an exam environment, join these mock test. 

Strength of Material Mock test 4

1. In a cantilever beam, if the length is doubled while keeping the cross-section and the concentrated load acting at the free end the same, the deflection at the free end will increased by

1. 8 times
2. 6 times
3. 3 times
4. 2.66 times

2. A cantilever of length L, moment of inertia I. Young's modulus E carries a concentrated load W at the middle of its length. The slope of cantilever at the free end is:

1. 𝑊𝑙^2/16EI
2. 𝑊𝑙^2/8EI
3. 𝑊𝑙^2/4EI
4. 𝑊𝑙^2/2EI

3. A cantilever beam of length ‘L’ is subjected to a concentrated load P at a distance of L/3 from the free end. What is the deflection of the free end of the beam? (EI is the flexural rigidity)

1. 15PL^3/81EI
2. 14PL^3/81EI
3. 3PL^3/81EI
4. 2PL^3/81EI

4. A ‘’H’’ shaped frame of uniform flexural rigidity EI is loaded as shown in the figure. The relative outward displacement between points K and O is

1. RLh^2/EI
2. RLh^2/3EI
3. RhL^2/EI
4. RhL^2/3EI

5. In the propped cantilever beam carrying a uniformly distributed load w of N/m, is shown in the figure. There action at the support B is

1. 5WL/8
2. 3WL/8
3. 3WL/4
4. 3WL/2

6. A force P is applied at a distance x from the end of the beam as shown in the figure. What would be the value of x so that the displacement at ‘A’ is equal to zero?

1. 0.5L
2. 0.33L
3. 0.25L
4. 0.66L

7. A solid circular shaft is subjected to a maximum shearing stress of 140 MPa . The magnitude of the maximum normal stress developed in the shaft is

1. 60 MPa
2. 70 MPa
3. 80 MPa
4. 140 MPa

8. A two-dimensional fluid element rotates like a rigid body. At a point within the element, the pressure is 1 unit. Radius of the Mohr's circle, characterizing the state of stress at that point, is

1. 0 unit
2. 0.5 unit
3. 1 unit
4. 2 unit

9. The figure shows the state of stress at a certain point in a stressed body. The magnitudes of normal stresses in the x and y direction are 100MPa and 20 MPa respectively. The radius of Mohr's stress circle representing this state of stress is

1. 120
2.l 80
3. 40
4. 60

10. If the two principal strains at a point are 1000 × 10^-6 and -600 × 10^-6, then the maximum shear strain is

1. 200 x 106-6
2. 500 x 106-6
3. 800 x 10^-6
4. 1600 x 10^-6

11. The Maximum and minimum principal stresses at a point are 120 MPa and 70 MPa respectively. On a plane p if the normal stress is 115 MPa, the shear stress on that plane (in MPa) is ____________

1. 25
2. 20
3. 10
4. 15

12. If the principal stresses in a plane stress problem, are 𝜎1=200MPa, 𝜎2=80MPa, the magnitude of the maximum shear stress (in MPa) will be

1. 140
2. 100
3. 60
4. 40