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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Certificate: Yes
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1 / 50

1. In the case of a simply supported beam subjected to UDL, the maximum shear force occurs at a point

a) support

b) centre

c) 1/3

d) none of the above

2 / 50

2. Buckling load for a given column depends upon

a) length of the column only

b) least lateral dimension only

c) both length and least lateral dimension

d) none of the above

3 / 50

3. *The critical bending moment caused in a fixed end beam loaded with a uniformly distributed load (W = wL) throughout is

a) M = WL/4

b) M = WL/8

c) M = WL/12

d) M = WL/16

4 / 50

4. 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

5 / 50

5. *"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

6 / 50

6. "When a rectangular beam is loaded transversely the maximum compressive stress is developed on the :

a) top layer

b) bottom layer

c) neutral axis

d) every cross section

7 / 50

7. 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

8 / 50

8. *The S.I. unit of the modulus of elasticity is

a) N/cm^2

b) N/m^2

c) dyne/cm^2

d) none of the above

9 / 50

9. 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

10 / 50

10. *The centre of gravity of a triangle is at the point where three

a) medians of the triangle meet

b) perpendicular bisectors of the sides of the triangle meet

c) bisectors of the angle of the triangle meet

d) none of these

11 / 50

11. If the Poisson's ratio of a material is 0.25, the ratio of Modulus of Rigidity to the Young's Modulus is

a) 2

b) 0.4

c) 2.5

d) 4

12 / 50

12. A beam simply supported at ends is subjected to load. The maximum bending moment is located where

a) shear force is zero

b) shear force is maximum

c) bending moment is zero

d) axial thrust is zero

13 / 50

13. *Mathematically, strain may be defined as

a) the deformation per unit volume

b) the deformation per unit area

c) the deformation per unit length

d) all of the above

14 / 50

14. 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

15 / 50

15. *Which of the following sections is the most efficient in carrying bending moments

a) rectangular section

b) circular section

c) I-section

d) T-section

16 / 50

16. *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

17 / 50

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

a) catenary

b) parabola

c) cubic parabola

d) arc of a circle

18 / 50

18. Find the bending moment at the center and also find the maximum bending moment

a) 10 kN-m, 12 kN-m

b) 15 kN-m, 10 kN-m

c) 20 kN-m, 12 kN-m

d) 10 kN-m, 15 kN-m

19 / 50

19. 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

20 / 50

20. *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

21 / 50

21. 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

22 / 50

22. The maximum bending moment caused by a moment M applied at a distance 'a' from one end on a simply supported beam is.... (where L=span, a>L/2)

a) M

b) Ma/L

c) M(L-a)/L

d) ML/a

23 / 50

23. The variation of the bending moment in the portion of the beam carrying a linearly varying load is

a) linear

b) parabolic

c) cubic

d) deflection is zero

24 / 50

24. *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

25 / 50

25. Maximum bending moment occurs at the center if the simply supported beam is subjected to

a) point load of center

b) uniformly distributed load throughout the span

c) triangular load with maximum intensity at the center

d) all of the above

26 / 50

26. If y is the deflection of the beam, then shear force is

a) y

b) dy/dx

c) d²y/dx²

d) d^3y/dx²

27 / 50

27. 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

28 / 50

28. Normally, the numerical value of Poisson's is

a) 0.3 for steel

b) 0.15 for concrete

c) both (a) and (b) of the above

d) none of the above

29 / 50

29. *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

30 / 50

30. *In the case of a fixed beam loaded at a point at its center, the number of points at which BM is zero

a) 1

b) 2

c) 3

d) 4

31 / 50

31. *The property of a material by which a body returns to its original shape after removal of the force is called

a) plasticity

b) elasticity

c) ductility

d) malleability

32 / 50

32. 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

33 / 50

33. 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

34 / 50

34. *Compression members always tend to buckle in the direction of the

a) parallel to the axis of the load

b) perpendicular to the axis of the load

c) least radius of gyration

d) least cross-section

35 / 50

35. 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

36 / 50

36. *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

37 / 50

37. *The shear force in a concrete beam is assumed to act

a) along the longitudinal axis

b) perpendicular to the longitudinal axis

c) on a plane normal to the longitudinal axis

d) vertically downward

38 / 50

38. 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

39 / 50

39. The shear force on a beam is proportional to

a) curvature of the axis

b) displacement of the axis

c) sum of the forces

d) sum of the transverse forces

40 / 50

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

a) r/π

b) r/2π

c) r/3π

d) 2r/π

41 / 50

41. 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

42 / 50

42. 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

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 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

45 / 50

45. 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

46 / 50

46. *If a beam is loaded transversely, the maximum compressive stress develops on

a) top fiber

b) neutral axis

c) bottom fiber

d) every cross-section

47 / 50

47. Find the maximum BM induced in a simply supported 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) 8 KN-m

b) 4 KN-m

c) 2 KN-m

d) 1 KN-m

48 / 50

48. *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)

49 / 50

49. A beam is supported over three rollers lying in the same plane. The beam is stable for

a) any general loading

b) loading with no component in the direction of the beam

c) loading with no component perpendicular to the direction of the beam

d) only when no load except self-weight acts.

50 / 50

50. 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

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