Mechanics Of Materials & Structures Online Test

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Vikash chaudhary

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Total Questions: 50
Time Allotted: 50 minutes
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1 / 50

1. The slenderness ratio of a vertical column of a square section of 2.5 cm sides and an effective length of 1.75 m is

a) 232

b) 242

c) 252

d) 262

2 / 50

2. *Determinate beam can be analyzed with the help of

a) two equations of statics

b) three equations of statics

c) four equations of statics

d) five equations of statics

3 / 50

3. In an I section, almost all the shear force is taken by

a) top flange

b) web

c) bottom flange

d) none of the above

4 / 50

4. Find the value of thrust, if the member (beam) is subjected to an inclined force having a magnitude of 5 kN and an inclination with the vertical of 30°

a) 2.5 kN

b) 5 kN

c) 2.5 √3 kN

d) 7.5 kN

5 / 50

5. *A member with a cross section of a mm^2 is subjected to a force of P N. It is L mm long and of Young's Modulus, E N/mm^2. The strain will be

a) PL/AE(n/mm)

b) PA/LE(N/mm^2)

c) P/AE(mm/mm)

d) AP/LE(mm/mm)

6 / 50

6. Which of the following end conditions permits the displacement in any direction and also rotation

a) fixed end

b) hinge end

c) free end

d) roller end

7 / 50

7. The equivalent length of column fixed at one end and free at the other end is

a) 2l

b) 0.75l

c) 1l

d) 1.25l

8 / 50

8. *The simple bending equation is

a) M/y = σ/I = E/R

b) M/I = σ/y = E/R

c) M/R = σ/y = E/R

d) none of the above

9 / 50

9. *Moment of inertia of an object having rectangular section of 'b' as width and 'd' as depth is given by:

a) bd^3/12

b) bd^2/24

c) b^2d^2/12

d) db^3/24

10 / 50

10. 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

11 / 50

11. *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

12 / 50

12. *The velocity of a moving body is:

a) A vector quantity

b) A scalar quantity

c) A constant quantity

d) None of the above

13 / 50

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

a) column

b) strut

c) tie

d) tanchion

14 / 50

14. The number of reaction components at a hinge on rollers support is

a) 1

b) 2

c) 4

15 / 50

15. The relation between deflection (y) and bending moment (M) is

a) M = EI(dy/dx)

b) M =-EI(d²y/dx²)

c) M = EI(d²y/dx]

d) none of the above

16 / 50

16. Shear strain is defined as

a) change in the angle between planes at right angles

b) distortion of fiber

c) change in angle between two angles

d) strain that normally occurs

17 / 50

17. The limit of proportionality depends upon

a) area of cross-section

b) types of loading

c) types of material

d) none of the above

18 / 50

18. In simple bending theory, the assumption that a plane section before bending remains plane after bending implies that

a) stress is proportional to strain at all sections

b) strain is proportional to the distance from the neutral axis

c) stress is uniform in the cross-section

d) none of the above

19 / 50

19. *The tension in a cable supporting a lift

a) is more when the lift is moving downwards

b) is less when the lift is moving upwards

c) Remains constant whether it moves downwards or upwards

d) is less when the lift is moving downwards

20 / 50

20. If magnitude and direction of a load does not change with respect to time, this type of load is called

a) point load

b) static load

c) dynamic load

d) wind load

21 / 50

21. A Prismatic bar when subjected to pure bending assumes the shape of

a) catenary

b) parabola

c) cubic parabola

d) arc of a circle

22 / 50

22. Euler's formula for a column of length 1, with one end fixed and other hinged is

a) P= 2π^2EI/l^2

b) P = π^2EI/4l^2

c) P= 4π^2EI/l^2

d) none of the above

23 / 50

23. Find the maximum BM induced in a cantilever beam subjected to a point load of 10 KN and a length of the beam is 10 m. The load is located at a distance of 3 m from the free end:-

a) 40 kN-m

b) 50 kN-m

c) 60 kN-m

d) 70 kN-m

24 / 50

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

a) 2P

b) 4P

c) P/8

d) P/16

25 / 50

25. *A point where SF is zero, BM is

a) maximum

b) minimum

c) either maximum or minimum

d) none of the above

26 / 50

26. The property of material by which it can be beaten or rolled into plates is called

a) malleability

b) ductility

c) plasticity

d) elasticity

27 / 50

27. In a beam, the neutral plane

a) may be at its centre

b) passes through the c.g. of the area of c/s

c) does not change during deformation

d) none of the above

28 / 50

28. A brittle material has

a) no plastic zone

b) no inelastic zone

c) a very little plastic zone

d) a large plastic zone

29 / 50

29. 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

30 / 50

30. *The law which states that within elastic limits strain produced is proportional to stress producing it is known as:

a) Bernoulli's law

b) yield stress

c) Hooke's law

d) Poisson's law

31 / 50

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

a) all of the above

b) minimum

c) medium

d) maximum

32 / 50

32. The crippling load for column of length 1, with one end fixed and the other end free is

a) P = π^2EI/4l^2

b) P= π^2EI/l^2

c) P= 4π^2EI/l^2

d) P= π^2EI/l

33 / 50

33. *Thrust is induced in the case of

a) vertical load

b) inclined load

c) vertical & inclined load

d) none of the above

34 / 50

34. *Stress may be defined as force

a) volume

b) length

c) area

d) none of the above

35 / 50

35. *A beam is said to be loaded in pure bending when

a) Bending moment is constant

b) Bending moment is zero

c) Bending moment is changing linearly

d) Bending moment and shear force are changing linearly

36 / 50

36. At the point of application of concentrated load on a beam, there is

a) maximum BM

b) sudden change in the slope of BM

c) point of contraflexture

d) maximum deflection

37 / 50

37. *Centrifugal force is given by

a) v^2/R

b) mv^2/R

c) mxa

d) all of the above

38 / 50

38. The diagram showing the variation of axial load along the span is called

a) thrust diagram

b) shear force diagram

c) bending moment diagram

d) none of the above

39 / 50

39. *The shear force and bending moment are related by

a) V = M/Z

b) V = MY/I

c) V = dM/dx

d) V = Mdx

40 / 50

40. *Which of the following gives Bulk Modulus?

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 of equal magnitude on all six faces of a solid cube to the volumetric strain

41 / 50

41. *The ratio of change in volume to the original volume is called:

a) linear strain

b) lateral strain

c) volumetric strain

d) Poisson's ratio

42 / 50

42. 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

43 / 50

43. *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

44 / 50

44. 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

45 / 50

45. *The forces which meet at one point, but their lines of action do not lie in a plane, are called:

a) co-planer non-concurrent forces

b) non-coplanar concurrent forces

c) non-coplanar non-concurrent forces

d) none of the above

46 / 50

46. The moment of inertia of a rectangular (Bx D) section about its base is

a) BD^3/12

b) DB^3/12

c) BD^3/3

d) DB^3/3

47 / 50

47. Point of contraflexure is a point where bending moment

a) minimum

b) maximum

c) zero

d) changes sign

48 / 50

48. The number of reaction components at a hinged end of a general loading is

a) 1

b) 2

c) 3

d) 4

49 / 50

49. *The variation of the bending moment in the segment of a beam where the load is uniformly distributed is

a) linear

b) parabolic

c) cubic

d) rectangular

50 / 50

50. *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

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