Mechanics Of Materials & Structures Online Test

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Vikash chaudhary

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Total Questions: 50
Time Allotted: 50 minutes
Passing Score: 70%
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1 / 50

1. The c.g. of a semi-circular arc is

a) r/π

b) r/2π

c) r/3π

d) 2r/π

2 / 50

2. *Find the maximum bending moment in a simply supported beam loaded with a UDL of 2 t/m having a span of 4m

a) 2 t-m

b) 4 t-m

c) 6 t-m

d) 8 t-m

3 / 50

3. Moment of inertia of a rectangular beam bxd is

a) bd^3/12

b) bd^3/6

c) db^3/12

d) db^3/6

4 / 50

4. Bending moment diagram of simply supported beam with a point load at the centre of the span is

a) parabola

b) triangular

c) rectangle

d) diagonal

5 / 50

5. The maximum bending moment in a simply supported beam loaded with a UDL of w/m having span l is

a) wl^2/2

b) wl^2/4

c) wl^2/8

d) wl^2/16

6 / 50

6. *In a simply supported beam with span (L) having a triangular load with its intensity 0 at both ends and W at center. The maximum BM will be

a) WL/2

b) WL/2

c) WL^2/12

d) WL/9

7 / 50

7. Find the elongation of a bar if c/s area of the bar is A, length 1, applied load p, modulus of elasticity of material is E

a) PI/AE

b) AE/PI

c) PA/IE

d) PE/AI

8 / 50

8. The square root of the ratio of moment of inertia and cross-section area of the member is known as

a) least lateral dimension

b) second moment of inertia

c) radius of gyration

d) section modulus

9 / 50

9. The bending moment acting on the plane of an element will cause the following type of stress on the plane

a) normal stress

b) tension stress

c) axial stress

d) transverse shear stress

10 / 50

10. The ratio of moment of inertia of a square section to that of a circular section for a given depth is given by

a) <1

b) >1

c) 1

d) none of the above

11 / 50

11. An orthotropic material has

a) inelastic properties

b) non-homogeneous properties

c) the same properties in an orthogonal direction

d) different properties in three perpendicular directions

12 / 50

12. The section modulus of a circular section about an axis through its C.G. is

a) πd^2/16

b) πd^3/32

c) πd^3/64

d) πd^2/64

13 / 50

13. For a column, with both ends fixed, the crippling load will be equal to

a) 2P

b) 4P

c) P/8

d) P/16

14 / 50

14. A column that fails primarily due to buckling is known as

a) long column

b) short column

c) wear column

d) medium column.

15 / 50

15. Rate of change of bending moment is equal to

a) shear force

b) slope

c) deflection

d) none of the above

16 / 50

16. The limit of proportionality depends upon

a) area of cross-section

b) types of loading

c) types of material

d) none of the above

17 / 50

17. *Centre of gravity of a semi-circle is... above the base AB (Dia.)

a) 2r/π

b) 4r/3π

c) r/8

d) r/4

18 / 50

18. 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 & depth

d) half moment of inertia of the section

19 / 50

19. The reaction at end A of the beam shown is

a) 9 kN

b) 3 kN

c) 18 kN

d) zero

20 / 50

20. The maximum bending moment caused on a simply supported beam subjected to two equal concentrated loads (W/2) spaced at an equal distance (L/3) over the span is

a) WL/8

b) WL/6

c) WL/4

d) WL/2

21 / 50

21. *The bending moment at a section tends to bend or deflect the beam and internal stresses resist its bending. The resistance offered by the internal stress to the bending, is called:

a) compressive stress

b) shear stress

c) bending stress

d) elastic modulus

22 / 50

22. *The maximum bending moment in a simply supported beam UDL is applied

a) ends

b) mid

c) 1/2 distance

d) none of the above

23 / 50

23. If a cantilever beam carries a uniformly distributed load over its entire length, then the shape of the shear force diagram and bending moment diagram respectively are

a) triangle and quadratic parabola

b) quadratic parabola and cubic parabola

c) rectangle and triangle

d) quadratic parabola and rectangle

24 / 50

24. *Fatigue is the failure of a material under:

a) constant loads but occasionally well above static load

b) varying loads, well below ultimate static load

c) constant loads well below ultimate static load

d) varying loads well above ultimate static load

25 / 50

25. Along the neutral axis of a simply supported beam

a) fibers do not undergo strain

b) fibers undergo very little strain

c) the fibers are subjected to maximum stress

d) none of the above

26 / 50

26. *A member which does not regain its original shape after the load producing deformation is removed, is said to be:

a) plastic

b) elastic

c) rigid

d) none of the above.

27 / 50

27. The crippling load for a column with both ends hinged is

a) πΕΙ/ L^2

b) π^2EI/4L^2

c) π^2EI/L^2

d) 4π^2EI/L^2

28 / 50

28. Shape of the bending moment diagram for a simply supported beam having a point load at the center is

a) parabolic

b) square

c) rectangular

d) triangular

29 / 50

29. The brittle materials have low toughness because they

a) have large plastic deformation before failure

b) have small plastic deformation before failure

c) have no plastic deformation before failure

d) can absorb impact load also

30 / 50

30. The difference in ordinate of the shear force between any two sections is equal to the area under

a) shear curve between these two sections

b) load curve between these two sections

c) bending moment curve between these two sections

d) load curve between these two sections plus concentrated load applied between the sections

31 / 50

31. *The stress at which the extension of a material takes place more quickly as compared to the increase in load is called

a) breaking point

b) plastic point

c) yielding point

d) elastic point

32 / 50

32. A brittle material has

a) no plastic zone

b) no inelastic zone

c) a very little plastic zone

d) a large plastic zone

33 / 50

33. Effective length of column fixed at one end and hinged at the other end is

a) 1/2

b) 1/√2

c) 1l

d) 1.25l

34 / 50

34. Which of the following gives Poisson's ratio?

a) ratio of linear stress to linear strain

b) ratio of shear stress to shear strain

c) ratio of lateral strain to longitudinal strain

d) ratio of the normal stress

35 / 50

35. *The slope of an elastic curve at the point of contraflexture

a) must be equal to zero

b) greater than zero

c) need not be equal to zero

d) none of the above

36 / 50

36. If a constant section is subjected to a uniform/ pure bending moment throughout, its length bends to

a) circular arc

b) parabolic arc

c) catenary

d) all of the above

37 / 50

37. The property of material by which it can be drawn, due to tension, to a smaller section, is called

a) plasticity

b) ductility

c) elasticity

d) malleability

38 / 50

38. Which of the following gives Modulus of Rigidity

a) the ratio of linear stress to linear strain

b) the ratio of shear stress to shear strain

c) the ratio of lateral strain to longitudinal strain

d) the ratio of the normal stress

39 / 50

39. A long vertical member subjected to an axial compressive load is called

a) column

b) strut

c) tie

d) tanchion

40 / 50

40. *"A simply supported beam of span L carries a uniformly distributed load W. The maximum bending moment, M is:

a) WL/2

b) WL/4

c) WL/8

d) WL/16

41 / 50

41. *The Young's Modulus of elasticity is defined as the ratio of stress & strain within the

a) plastic limit

b) all of the above

c) yield limit

d) elastic limit

42 / 50

42. The maximum bending moment caused by a large number of equally spaced identical loads on a simply supported beam is (W = wL)

a) WL/6

b) WL/8

c) WL/16

d) WL/2y

43 / 50

43. The radius of gyration of a rectangular section is not proportional to

a) the square root of the moment of inertia

b) the square root of the inverse of the area

c) the square root of the moment of inertia divided by the area of the section

d) none of the above

44 / 50

44. *The amount of shear force at the maximum bending moment

a) all of the above

b) minimum

c) medium

d) maximum

45 / 50

45. The shear force on a beam and the displacement are related by

a) V = EI(d^2y/dx^2)

b) V = EI(d^3y/dx^2)

c) V = EI(d^3y/dx^3)

d) none of the above

46 / 50

46. In rectangular column having cross section b X h, the core is

a) rectangle of lengths b/2 and h/2

b) square of lengths b/2

c) rhombus of lengths h/2

d) rhombus of diagonals b/3 and h/3

47 / 50

47. A simply supported beam of length I carries a load varying uniformly from zero at the left end to the maximum at the right end. The maximum bending moment occurs at a distance of

a) 1/√3 from the left end

b) 1/3 from left end

c) 1/√3 from the right end

d) 1/3 from the right end

48 / 50

48. The ratio of elongations of a conical bar due to its own weight and that of a prismatic bar of the same length is

a) 1/6

b) 1/5

c) 1/4

d) 1/3

49 / 50

49. The maximum deflection in a cantilever beam carrying a concentrated load 'w' at the free end is (Where L is span of bean, W is total load and EI is flexural rigidity)

a) WL^3 / 8EI

b) WL^2 / 5EI

c) WL^3 / 3EI

d) 3WL^3 / 2EI

50 / 50

50. A perfectly elastic body is

a) that body which recovers its original shape completely after the removal of force

b) a body of such a material with a lot of extensibility

c) a body made of rubber only

d) a body whose cross-sectional dimensions are very small

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