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. Which one is correct if the deflection of a beam is y

a) θ = dy/dx

b) dθ/dx = d²y/dx²

c) M = EI/R

d) all of the above

2 / 50

2. The diagram showing the variation of BM along the span of the beam is called

a) BMD

b) SFD

c) thrust diagram

d) all of the above

3 / 50

3. 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

4 / 50

4. The bending moment in a cable carrying a system of loads will be

a) zero at all point

b) minimum at the center

c) maximum at the center

d) none of the above

5 / 50

5. *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

6 / 50

6. *When the equal and opposite forces are applied to a body, tending to elongate it, then the stress produced is called

a) compressive stress

b) tensile stress

c) shear stress

d) longitudinal stress

7 / 50

7. If the stress produced by a prismatic bar is equal to the working stress, the area of the cross-section of the prismatic bar becomes

a) zero

b) infinite

c) maximum

d) minimum

8 / 50

8. Shear force diagram for a cantilever carrying a UDL over its whole length is

a) rectangle

b) triangle

c) parabola

d) cubic parabola

9 / 50

9. The ratio of the effective length of a column and the minimum radius of gyration of its cross-sectional area is known as

a) buckling factor

b) slenderness ratio

c) crippling factor

d) none of the above

10 / 50

10. The maximum deflection in a cantilever beam carrying a uniformly distributed load (w) over spans is (Where L is span of beam, W is total load and EI is flexural rigidity)

a) 3WL^3 / 2EI

b) WL^3 / 8EI

c) WL^3 / 5EI

d) WL^3 / 3EI

11 / 50

11. 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

12 / 50

12. *Normal strain is defined as

a) rate of change of length

b) strain that normally occurs

c) strain that is normal to shear strain

d) deformation normal to the force

13 / 50

13. 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

14 / 50

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

a) r/π

b) r/2π

c) r/3π

d) 2r/π

15 / 50

15. 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

16 / 50

16. Load carrying capacity of fixed beam is

a) lesser than simply supported beam

b) lesser than the cantilever beam

c) greater than simply supported beam and cantilever beam

d) all of the above

17 / 50

17. *Dead load of a member is the

a) one that remains constant

b) one that occurs due to the dead body

c) one that comes all of a sudden

d) one that comes due to the self-weight of the object

18 / 50

18. How does Young's Modulus vary with an increase in temperature?

a) will increase

b) will not be affected

c) will decrease

d) impossible to predict

19 / 50

19. *The compression test is commonly used for testing

a) ductile materials

b) rubber

c) brittle materials

d) none of the above

20 / 50

20. *The rate of change of shear force is called

a) bending moment

b) slope

c) deflection

d) intensity of 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. For a column, with both ends fixed, the crippling load will be equal to

a) 2P

b) 4P

c) P/8

d) P/16

23 / 50

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

a) elastic limit

b) plastic limit

c) breaking point

d) yielding point

24 / 50

24. A member that is subjected to reversible tensile or compressible stress may fail at a stress lower than the ultimate stress of the material. The property of the metal is called

a) plasticity of the metal

b) elasticity of the metal

c) fatigue of the metal

d) workability of the metal

25 / 50

25. *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

26 / 50

26. Longitudinal cracks observed in timber beams are due to

a) high bending stresses

b) application of concentrated loads over the beam

c) shear failure between the layers

d) timber not being in compression

27 / 50

27. 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

28 / 50

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 / 50

29. The rate of change of shear force is called

a) BM

b) point load

c) intensity of load

d) slope

30 / 50

30. *The total time of collision and restitution of two bodies is called

a) time of collision

b) period of collision

c) period of impact

d) all the above

31 / 50

31. Permanent set is

a) the force that acts permanently on the body

b) irrecoverable deformation in the body

c) the shape of the member just after the completion of construction

d) the ratio of Poisson's ratio to Young's modulus

32 / 50

32. *In a simply supported beam subjected to a point load at the center, the maximum bending moment occurs at

a) left end

b) right end

c) center

d) none of the above

33 / 50

33. 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

34 / 50

34. *The ratio of the intensity of stress in a case of a suddenly loaded to that of gradually applied load is

a) same

b) half

c) twice

d) thrice

35 / 50

35. Find the maximum SF induced in S.S beam if the beam is subjected to a point load of 4 KN at the center of the beam and the span of the beam is 4 m

a) 1 KN

b) 2 KN

c) 4 KN

d) 8 KN-m

36 / 50

36. The limit of proportionality depends upon

a) area of cross-section

b) types of loading

c) types of material

d) none of the above

37 / 50

37. *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

38 / 50

38. 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

39 / 50

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

a) 1

b) 2

c) 4

40 / 50

40. In a fixed beam, the points of contraflexure,

a) for a UDL load are 2

b) for a concentrated load are 2

c) for a moment applied load are 2

d) all of the above

41 / 50

41. Identify the correct relationship that exists among the modulus of elasticity (E), modulus of rigidity (N), and bulk modulus (k) is

a) E= 3K+N/9KN

b) E= 3KN/3K+N

c) E= 9KN/3K+N

d) E= K/N

42 / 50

42. The slope of the curve of B.M. diagram at any section will be equal to

a) the slope of loading at that section

b) the slope of shear force diagram at that section

c) the ordinate of shear force diagram at that section

d) the area of shear force diagram starting from any one end

43 / 50

43. *Tensile internal force tends to:

a) crush the member

b) elongate the member

c) shorten the member

d) smash the member

44 / 50

44. *If a cantilever beam of 8m long has a uniformly distributed load of 2KN/m throughout the length and a 10KN point load at the center of the beam, find the moment at the center:

a) 8 KN-m

b) 16 KN-m

c) 32 KN-m

d) 44 KN-m

45 / 50

45. In a simply supported beam with span, L subjected to a point load, W at the center. Find the maximum bending moment induced in the beam

a) WL/2

b) WL/3

c) WL/4

d) WL/8

46 / 50

46. *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

47 / 50

47. A cantilever beam is the one which is supported with

a) one end hinge and other on rollers

b) one end fixed and other on rollers

c) both ends on rollers

d) one end fixed and the other free

48 / 50

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

a) all of the above

b) minimum

c) medium

d) maximum

49 / 50

49. If a material has identical properties in all directions, it is said to be

a) homogeneous

b) isotropic

c) elastic

d) orthotropic

50 / 50

50. *The relation between the radius of curvature (R), bending moment (M), and flexural rigidity (EI) is given by

a) M = EI/R

b) M = E/IR

c) EI = R/M

d) MI/R = E

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