1. The bending moment at the center of a simply supported beam carrying a uniformly distributed load is equal to wl^2/4. 2. The shear force at a point on a beam is the algebraic sum of all the forces on either side of that point. 3. A point of contraflexure occurs in overhanging beams where the bending moment changes sign.

1. Kongu Engineering Colege, Perundurai-63060
Department of Mechanical Engineering
Strength of Materials
Online Test – 2 16.04.2020
Part A
Answer all the questions (20*1 = 20 marks)
1. The bending moment in the center of a simply supported beam carrying a uniformly
distributed load of w per unit length is
a) zero
b) wl2
/2
c) wl2
/4
d) wl2
/8
2. The shear force at a point on a beam is the __________ of all the forces on either side of
the point.
a) Algebraicdifference
b) Algebraicsum
c) Multiplication
d) Division
3. The point of contra flexure occurs in
a) cantilever beams
b) simply supported beams
c) overhanging beams
d) fixed beams
4. A beam of uniform strength has
a) same cross-section throughout the beam
b) same bending stress at every section

2. c) same bending moment at every section
d) same shear stress at every section
5. The shear force of a simply supported beam carrying a central point load changes sign at
a) RHS
b) LHS
c) At Midpoint
d) Other than midpoint
6. In a simple bending theory, one of the assumption is that the material of the beam is
isotropic. This assumption means that the
a) normal stress remains constant in all directions
b) normal stress varies linearly in the material
c) elastic constants are same in all the directions
d) elastic constants varies linearly in the material
7. The bending moment of a cantilever beam of length l and carrying a gradually varying
load from zero at free end and w per unit length at the fixed end is __________ at the
fixed end.
a) wl/2
b) wl
c) wl2/2
d) wl2/6
8. An overhanging beam must overhang on
a) On one side and support
b) On two side and support
c) Both side
d) On two side and fixed
9. In a beam where shear force changes sign, the bending moment will be

3. a) Zero
b) Minimum
c) Maximum
d) Infinity
10. The maximum shear stress of a beam of triangular section occurs at,
a) above the neutral axis
b) below the neutral axis
c) At neutral axis
d) Other than neutral axis
11. For the beam shown in the below figure, the shear force at A is equal to
a) wl/6
b) wl/3
c) wl
d) 2 wl/3
12. When a rectangular beam is loaded transversely, the zero stress is developed on
a) above the neutral axis
b) below the neutral axis
c) At neutral axis
d) Other than neutral axis
13. The shear force diagram for a simply supported beam carrying a uniformly distributed
load of w per unit length, consists of
a) one right angled triangle

4. b) two right angled triangles
c) one equilateral triangle
d) two equilateral triangles
14. When a cantilever beam is loaded at its free end, the maximum compressive stress shall
develop at
a) bottom fibre
b) top fibre
c) neutral axis
d) centre of gravity
15. In a cantilever beam of length l subjected to a uniformly distributed load of w per unit
length, the maximum bending moment lies at the.
a) Fixed end
b) Free end
c) Midpoint
d) Other than midpoint
16. When the shear force diagram is a parabolic curve between two points, it indicates that
there is a
a) point load at the two points
b) no loading between the two points
c) uniformly distributed load between the two points
d) uniformly varying load between the two points
17. Flitched beam also called
a) Homogeneous beam
b) Heterogeneous beam
c) Horizontal beam
d) Vertical beam

5. 18. Virtual hinge also called as
a) Maximum bending moment
b) Point of contraflexure
c) Maximum shear force
d) Zero bending moment
19. In a cantilever, carrying a load whose intensity varies uniformly from zero at free end to
maximum at fixed end, the BM changes following a
a) Linear law
b) Parabolic law
c) Cubic law
d) Curved law
20. Which of the following are the statically indeterminate beams?
a) Fixed beam
b) Continues beam
c) Cantilever beam
d) Both a and b
Part B
Answer any two questions (02*15 = 30 marks)
21. Find maximum bending moment for the beam shown below

6. E
C D
1.5 KN/m
A B
6 m
1 KN 2 KN 3 KN
4.5 m
1.5 m
3 m
a) 6.5 KN m
b) 84.75 KN m
c) 1.275 KN m
d) 12.75 KN m
22. Find Maximum Bending moment for the beam shown below. (8 Marks)
8 m
1.5 KN/m
B
6 m
A
a) 5.33 KN m
b) 15.23 KN m
c) 105.32 KN m
d) 0.2145 KN m
22 b. Find point of contra flexure for the above problem. (7 Marks)
a) 5.33 m from left support
b) 5.33 m from right support
c) 10.33 m from left support

7. d) 5.33 m from right support
23. Find suitable dimensions (breadth, depth) for the rectangular cross section of the beam
shown in figure. The bending stress of the beam is not to exceed 8 N/mm2
b
d
=
2b
C
12 KN/m
A B
8 m
10 KN
3 m
a) 323.5 mm, 647 mm
b) 275.5 mm, 551 mm
c) 1245.5 mm, 2491 mm
d) 875.5 mm, 1313.25 mm