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 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

2 / 50

2. 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

3 / 50

3. *The bending moment at a section tends to bend or deflect the beam and internal stresses resist its bending. The resistance offered by the internal stress to the bending, is called:

a) compressive stress

b) shear stress

c) bending stress

d) elastic modulus

4 / 50

4. 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

5 / 50

5. *A cable subjected to U.D.L. over its entire span assumes a shape of

a) semi-circle

b) an isosceles triangle

c) parabola

d) none of the above

6 / 50

6. What is strain energy?

a) stress x strain

b) volume x stress x strain

c) energy that is spent for straining a body

d) energy stored in a body because of being strained

7 / 50

7. The point of contraflexure occurs in a beam

a) cantilevers only

b) simply supported only

c) overhanging only

d) all of the above

8 / 50

8. 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

9 / 50

9. If the length of a simply supported beam carrying a concentrated load at the center is doubled, the deflection at the center will become

a) two times

b) four times

c) eight times

d) sixteen times

10 / 50

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

a) cast iron

b) wrought iron

c) mild steel

d) bronze

11 / 50

11. 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

12 / 50

12. 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

13 / 50

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

a) maximum

b) zero

c) minimum

d) no relation

14 / 50

14. The difference in ordinate of the shear force between any two sections is equal to the area under

a) shear curve between these two sections

b) load curve between these two sections

c) bending moment curve between these two sections

d) load curve between these two sections plus concentrated load applied between the sections

15 / 50

15. The moment of inertia of a square section is given by

a) I = b^4/12

b) I = b^3/12

c) I = b^4

d) I = b^4/3

16 / 50

16. 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

17 / 50

17. *Find the maximum bending moment in a simply supported beam loaded with a UDL of 2 t/m having a span of 4m

a) 2 t-m

b) 4 t-m

c) 6 t-m

d) 8 t-m

18 / 50

18. *Young's modulus is the ratio of

a) Volumetric stress/volumetric strain

b) Lateral stress/lateral strain

c) Longitudinal stress/ longitudinal strain

d) Shear stress/ shear strain

19 / 50

19. The maximum deflection of a simply supported beam subjected to a uniformly distributed load (w) over the span is

a) WL^3 / 8EI

b) WL^3 / 48EI

c) 5WL^3 / 48EI

d) 5WL^3 / 384EI

20 / 50

20. 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

21 / 50

21. *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

22 / 50

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

a) homogeneous

b) isotropic

c) elastic

d) orthotropic

23 / 50

23. *Strut is a

a) horizontal member

b) vertical member

c) inclined member

d) compression member

24 / 50

24. In the case of an H section, the maximum shear stress will occur at

a) top fibers

b) neutral axis

c) bottom fibers

d) at the junction of web and flanges

25 / 50

25. For a column of given material, the Rankine's constant depends on

a) length of the column.

b) diameter of column

c) moment of inertia of column

d) none of the above

26 / 50

26. *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

27 / 50

27. *If the shear force along a section of a beam is zero, the bending moment at the section is:

a) zero

b) maximum

c) minimum

d) average of maximum-minimum

28 / 50

28. Find the maximum SF 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) 30 kN

b) 7 kN

c) 3 kN

d) 10 kN

29 / 50

29. *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

30 / 50

30. 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

31 / 50

31. 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

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 slope of an elastic curve at the point of contraflexture

a) must be equal to zero

b) greater than zero

c) need not be equal to zero

d) none of the above

34 / 50

34. *The shear flow in a section can be defined as

a) total shear stress

b) flow direction of shear

c) total shear stress at a point

d) none of the above

35 / 50

35. For a beam of uniform strength if its depth is maintained constant then its width will vary in proportion to

a) bending moment

b) (B.M)^2

c) (B.M)^3

d) (B.M)

36 / 50

36. *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

37 / 50

37. 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

38 / 50

38. *Centrifugal force is given by

a) v^2/R

b) mv^2/R

c) mxa

d) all of the above

39 / 50

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

a) 2P

b) 4P

c) P/8

d) P/16

40 / 50

40. The algebraic sum of the shear flow of a section in any direction must be equal to

a) zero

b) net shear force

c) the shear force in that direction

d) none of the above

41 / 50

41. 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

42 / 50

42. The bending moment diagram for a cantilever beam subjected to a moment at the end of the beam would be

a) rectangle

b) triangle

c) parabola

d) cubic parabola

43 / 50

43. The stress due to temperature change in a member depends on

a) cross-section of the member

b) length of the member

c) supporting end conditions

d) none of the above

44 / 50

44. 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

45 / 50

45. 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

46 / 50

46. 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

47 / 50

47. *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

48 / 50

48. 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

49 / 50

49. 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

50 / 50

50. 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

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