1. A simply supported beam of span L carries two equal concentrated loads, W at a distance of L/3 from either support. The maximum bending moment, M is
a) wL/2
b) wL/3
c) wL/4
d) wL/5
2. A beam is hinged at both ends and loaded with a triangular load having maximum intensity (W) at centre. Find the maximum bending moment & shear force
a) wL2/12, wL/10
b) wL2/12, wL/4
c) wL2/10, wL/10
d) all of the above
3. The shape of bending moment diagram over the length of a beam, having no external load is
a) linear
b) parabolic
c) cubical
d) circular
4. The moment of inertia of the elliptical section is
a) π/64 x BD3
b) BD3/12
c) a4/12
d) bh3/36
5. The moment of inertia of triangular section about its e.g.
a) bh3/36
b) BD3/12
c) a4/12
d) π/64 x BD3
6. Along the neutral axis of a simply supported beam
a) fibres do not undergo strain
b) fibres undergo minimum strain
c) fibres undergo maximum strain
d) none of the above
7. The ratio of the moment of inertia of a circular plate and a square plate for equal depth is
a) slightly less than one
b) equal to one
c) more than one
d) equal to 3π/16
8. At either ends of plane frame, maximum number of possible bending moment, are
a) one
b) two
c) three
d) zero
9. A simply supported beam of span L carries a uniformly distributed load, w. The maximum shear force, V is
a) wL/2
b) wL/4
c) wL/8
d) wL/16
10. A simply supported beam of span L carries a uniformly distributed load, w. The maximum bending moment, M is
a) wL2/2
b) wL2/4
c) wL2/8
d) wL2/16
11. The section modulus of a rectangular section is proportional to
a) area of the section
b) square of the area of the section
c) product of the area and depth
d) product of the area and width
12. The algebraic sum of the vertical forces on either side of the section of a loaded beam is known as
a) shear force
b) bending moment
c) deformed force
d) all of the above
13. Find the shear force produced in the member BC due to load
shown in fig.
a) 4 kN b) 50 kN
c) 25 kN d) 75 kN
14. The difference in placing the end of a beam simply over a support and the supporting end through a hinge on rollers is that the roller support
a) can offer reaction in the plane of rollers
b) can offer moment reaction
c) will not allowed the end to lift up the deflection
d) will not offer reaction normal to the plane of rollers
15. The number of reaction components possible at a hinged end for a general loading is
a) 0
b) 1
c) 2
d) 3
16. At either ends of plane frame, maximum number of possible transverse shear forces, are
a) one
b) two
c) three
d) four
17. Find the bending moment at fixed end for the structure as shown in fig.
a) 0 Tm
b) 10Tm
c) 20Tm
d) 30Tm
18. Find the bending moment at fixed end for the structure as shown in fig.
a) 0
b) 10 Tm
c) 20 Tm
d) 30 Tm
19. Find the bending moment at fixed end of cantilever as shown
in fig.
a) 0
b) 10 Tm
c) 20 Tm
d) 30 Tm
20. The maximum deflection in the cantilever beam subjected to an udl of W/m throughout the span is
21. A simply supported beam of length 1 carries a load varying uniformly from zero at left end to maximum at right end maximum bending moment occurs at a distance of
a) 1/√3 from left end
b) 1/√3 from left end
c) 1/√3 from right end
d) 1/√3 from right end
22. Load carrying capacity of fixed beam is
a) lesser than simply supported beam
b) lesser than cantilever beam
c) greater than simply supported beam and cantilever beam
d) all of the above
23. Find the bending moment at fixed end of the cantilever as shown in fig.
a) 0
b) 10 Tm
c) 20 Tm
d) 30 Tm
24. A rectangular beam carries a maximum bending moment of M. If its depth is doubled, its moment carrying capacity will be
a) M
b) 2M
c) 3M
d) 4M
25. The algebraic sum of the moments of the forces on either side of the section of a loaded beam is known as
a) shear force
b) bending moment
c) deformed force
d) all of the above
26. Calculate the maximum BM introduced due to a udl of 4KN/m, if the span of the cantilever is 1.8m
a) 2.16 KN-M
b) 6.48 KN-M
c) 1.08 KN-M
d) 5.48 KN-M
27. Find the bending moment at %4 th of the span having simply supported beam with following data: point load = 200 kg at Acentre, span = 20m
a) 250 kg-m
b) 500 kg-m
c) 50 kg-m
d) none of the above
28. The shear force and bending moment are related by
a) V = M/Z
b) V = MY/I
c) V = dM/dx
d) V = Mdx
29. The shear force on a beam and the displacement are related by
a) V = EI. d2y/dx2
b) V = EI. d3y/dx2
c) V = EI. d3y/dx3
d) V = none of the above
30. Which one is correct if the deflection of a beam is y
