### Strength of Materials

1. A 8 metre long simply supported rectangular beam which carries a distributed load 45 kg/m. experiences a maximum fibre stress 160 kg/cm2. If the moment of inertia of the beam is 640 cm4, the overall depth of the beam is

1. 10 cm
2. 12 cm
3. 15 cm
4. 18 cm

10 cm

2. A beam is said to be of uniform strength, if

1. B.M. is same throughout the beam
2. Deflection is same throughout the beam
3. Bending stress is same throughout the beam
4. Shear stress is same throughout the beam

Bending stress is same throughout the beam

3. A beam of length L is pinned at both ends and is subjected to a concentrated bending couple of moment M at its centre. The maximum bending moment in the beam is

1. M
2. M/2
3. M/3
4. ML/2

M

4. A beam of length L supported on two intermediate rollers carries a uniformly distributed load on its entire length. If sagging B.M. and hogging B.M. of the beam are equal, the length of each overhang, is

1. 0.107 L
2. 0.207 L
3. 0.307 L
4. 0.407 L

0.207 L

5. A bending moment may be defined as:

1. Arithmetic sum of the moments of all the forces on either side of the section
2. Arithmetic sum of the forces on either side of the section
3. Algebraic sum of the moments of all the forces on either side of the section
4. None of these

Algebraic sum of the moments of all the forces on either side of the section

6. A body moves, from rest with a constant acceleration of 5 m per sec. The distance covered in 5 sec is most nearly

1. 38 m
2. 62.5 m
3. 96 m
4. 124 m

62.5 m

7. A cable with a uniformly distributed load per horizontal metre run will take the following shape

1. Straight line
2. Parabola
3. Hyperbola
4. Elliptical

Parabola

8. A cantilever beam rectangular in cross-section is subjected to an isolated load at its free end. If the width of the beam is doubled, the deflection of the free end will be changed in the ratio of

1. 8
2. 43678
3. 43497
4. 3

43497

9. A cantilever carries is uniformly distributed load W over its whole length and a force W acts at its free end upward. The net deflection of the free end will be

1. Zero
2. (5/24) (WL3/EI) upward
3. (5/24) (WL3/EI) downward
4. None of these