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 maximum deflection of a simply supported beam subjected to a concentrated load (W) at the midpoint is

a) WL^3 / 8EI

b) WL^3 / 48EI

c) 5WL^3 / 48EI

d) none of the above

2 / 50

2. The effective length of a column effectively held in position and restrained in direction at one end will be

a) 1l

b) 1.5 l

c) 2 l

d) 3 l

3 / 50

3. 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

4 / 50

4. *"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

5 / 50

5. 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

6 / 50

6. *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)

7 / 50

7. 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

8 / 50

8. 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

9 / 50

9. *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.

10 / 50

10. A body having similar properties throughout

a) homogeneous

b) isomorphic

c) isotropic

d) anisotropy

11 / 50

11. A column that fails primarily due to direct stress is called

a) long column

b) short column

c) weak column

d) none of the above

12 / 50

12. The number of points of contraflexture in a simply supported beam carrying udl is

a) 1

b) 2

c) 3

13 / 50

13. 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

14 / 50

14. 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

15 / 50

15. The maximum bending moment caused by a moving load on a fixed-end beam occurs

a) at the support

b) under the load

c) at mid span

d) none of the above

16 / 50

16. *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

17 / 50

17. 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

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 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

20 / 50

20. 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

21 / 50

21. *As the elastic limit reaches, tensile strain

a) decreases more rapidly

b) increases more rapidly

c) decreases in proportion to the stress

d) increases in proportion to the stress

22 / 50

22. 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

23 / 50

23. Strain energy of a member may be defined as work done on it

a) to deform it

b) to resist elongation

c) to resist shortening

d) all of the above

24 / 50

24. 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

25 / 50

25. The shear center may be defined as

a) the point through which the resultant of the shear stress pass

b) the point about which the moment of shear flow is zero

c) the center of gravity of the section

d) none of the above

26 / 50

26. *A simply supported beam as shown in the fig. carries 10 t of load. What will be the reaction at point B ?

a) 5t

b) 4.5 t

c) 4t

d) 3 t

27 / 50

27. *Load required to produce unit deflection is called

a) stiffness

b) ductility

c) elasticity

d) malleability

28 / 50

28. 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

29 / 50

29. 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

30 / 50

30. What is tenacity?

a) ultimate strength in tension

b) ultimate strength in compression

c) ultimate shear strength

d) ultimate impact strength

31 / 50

31. 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

32 / 50

32. *Maximum bending moment occurs where

a) shear force is maximum

b) shear force is less than one

c) shear force changes sign

d) deflection is zero

33 / 50

33. 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

34 / 50

34. 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

35 / 50

35. The difference between BM values at any two sections will be equal to

a) the area of SF diagram between those two sections

b) the area of loading diagram between the two sections

c) the area of loading diagram

d) the area of bending moment between the two sections

36 / 50

36. *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

37 / 50

37. *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

38 / 50

38. 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

39 / 50

39. The maximum shear stress will always occur at

a) neutral axis

b) top extreme fiber

c) a fiber in the cross-section depending on configuration

d) bottom extreme fiber

40 / 50

40. Find the slenderness ratio of the column of M.I. = 10000cm4, Area =100cm^2 & effective length =3.0m

a) 3

b) 30

c) 4

d) 40

41 / 50

41. The value of buckling load is ... than the crushing load in the case of a long column

a) less

b) more

c) equal

d) none of the above

42 / 50

42. *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

43 / 50

43. *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

44 / 50

44. 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

45 / 50

45. If all the dimensions of a bar are increased in the proportion n:1, the proportion with which the maximum stress produced in the prismatic bar by its own weight will increase in the ratio

a) 1:n

b) n:1

c) 1:1/n

d) 1/n:1

46 / 50

46. The maximum number of transverse shear forces possible at one end of an element of a plane truss are

a) zero

b) one

c) two

d) three

47 / 50

47. 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

48 / 50

48. 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

49 / 50

49. 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

50 / 50

50. 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

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