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 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

2 / 50

2. *The maximum BM produced in a simply supported beam having a span of 4 m and subjected to a UDL of 10 kN/m

a) 10 kN-m

b) 20 kN-m

c) 30 kN-m

d) 40 kN-m

3 / 50

3. 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

4 / 50

4. In a beam where shear force is maximum, the bending moment will be

a) maximum

b) zero

c) minimum

d) no relation

5 / 50

5. The stress in the member subjected to a force is

a) continued deformation under sustained loading

b) load per unit area

c) the resistance offered by the material per unit area to a force

d) the strain per unit length

6 / 50

6. 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

7 / 50

7. 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

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. 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

10 / 50

10. A beam of uniform strength will have at every cross-section the same

a) deflection

b) stiffness

c) BM

d) bending stress

11 / 50

11. *The inclined member carrying compressive load in the case of frames and trusses is

a) Post

b) stanchion

c) strut

d) column

12 / 50

12. 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

13 / 50

13. *Centrifugal force is given by

a) v^2/R

b) mv^2/R

c) mxa

d) all of the above

14 / 50

14. 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

15 / 50

15. 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

16 / 50

16. 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

17 / 50

17. *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

18 / 50

18. *Thrust is induced in the case of

a) vertical load

b) inclined load

c) vertical & inclined load

d) none of the above

19 / 50

19. *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

20 / 50

20. According to Hook's law, which one is correct?

a) σ=E

b) σE=1

c) σ = Εε

d) all of the above

21 / 50

21. 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

22 / 50

22. A shear force diagram of a simply supported beam shows constant shear force throughout the span. It is subjected to

a) two concentrated loads spaced at points

b) a couple at mid span

c) a uniformly distributed load

d) none of the above

23 / 50

23. The strain energy stored by a member when strained within the elastic limit is known as

a) resilience

b) proof resilience

c) potential strain

d) none of the above

24 / 50

24. 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

25 / 50

25. The method of increasing fatigue resistance by overstressing the metal by successively increasing the loading is known as

a) compounding

b) coaxing

c) relaxing

d) enduring

26 / 50

26. The actual breaking stress of a ductile material from a tension test will be

a) greater than the ultimate strength

b) equal to the ultimate strength

c) equal to the nominal breaking stress

d) less than the ultimate strength but greater than the nominal breaking stress

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. *A diagram that shows the variation of axial force

a) BMD

b) SFD

c) thrust diagram

d) stress diagram

29 / 50

29. 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

30 / 50

30. The slope of the curve of S.F. diagram at any section will be equal to

a) the slope of loading at that section

b) the ordinate of loading diagram at that section

c) the area of loading diagram from end to that section

d) the bending moment at that section

31 / 50

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

a) y

b) dy/dx

c) d²y/dx²

d) d^3y/dx²

32 / 50

32. *As per the elastic theory of design, the factor of safety is the ratio of

a) working stress to field stress

b) yield stress to working stress

c) ultimate stress to yield stress

d) ultimate load to load at yield

33 / 50

33. *A truss is completely analyzed, when

a) the direct stress in all the members are found

b) all the external reaction components are determined

c) the equilibrium is satisfied

d) none of the above

34 / 50

34. The rate of change of shear force is called

a) BM

b) point load

c) intensity of load

d) slope

35 / 50

35. Rate of change of bending moment is equal to

a) shear force

b) slope

c) deflection

d) none of the above

36 / 50

36. 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

37 / 50

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

a) 2P

b) 4P

c) P/8

d) P/16

38 / 50

38. 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

39 / 50

39. 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

40 / 50

40. *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

41 / 50

41. *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

42 / 50

42. Which of the following materials will have the highest Young's Modulus?

a) brass

b) timber

c) mild steel

d) copper

43 / 50

43. The stress necessary to initiate yielding is considerably

a) more than necessary to continue it

b) less than necessary to continue it

c) more than necessary to stop it

d) less than necessary to stop it

44 / 50

44. The expression EI(d^4y/dx^4) at any section for a beam is equal to

a) load intensity at the section

b) shear force at the section

c) BM at the section

d) slope of the section

45 / 50

45. Which of the following is a relatively ductile material?

a) cast iron

b) wrought iron

c) mild steel

d) bronze

46 / 50

46. *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

47 / 50

47. *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

48 / 50

48. If the elasticity of the material is zero then the material is said to be

a) rigid

b) perfect

c) plastic

d) all of the above

49 / 50

49. 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

50 / 50

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

a) maximum

b) minimum

c) either maximum or minimum

d) none of the above

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