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 c.g. of a semi-circular arc is

a) r/π

b) r/2π

c) r/3π

d) 2r/π

2 / 50

2. *The law "Stress is proportional to strain within certain limits" is formulated by

a) Thomas Youngs

b) Poisson

c) Mohr

d) Robert Hook

3 / 50

3. The number of reaction components at a hinged end of a general loading is

a) 1

b) 2

c) 3

d) 4

4 / 50

4. 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

5 / 50

5. 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

6 / 50

6. The rate of change of shear force is called

a) BM

b) point load

c) intensity of load

d) slope

7 / 50

7. A cantilever beam of span 4m and carrying a point load of 10 kN located at 3m from the fixed end. Find the BM at the fixed and free end

a) 30 kN-m, 0

b) 30 kN-m, 10 kN-m

c) 10 kN-m, 30 kN-m

d) none of the above

8 / 50

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

a) σ=E

b) σE=1

c) σ = Εε

d) all of the above

9 / 50

9. 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

10 / 50

10. 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

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. *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

13 / 50

13. 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

14 / 50

14. 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

15 / 50

15. *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

16 / 50

16. 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

17 / 50

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

a) maximum

b) zero

c) minimum

d) no relation

18 / 50

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

a) brass

b) timber

c) mild steel

d) copper

19 / 50

19. *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

20 / 50

20. The moment of inertia of a triangular section b x h about the c-g is

a) bh^3 / 12

b) bh^3 / 18

c) bh^3/36

d) all of the above

21 / 50

21. 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

22 / 50

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

a) zero

b) one

c) two

d) three

23 / 50

23. 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

24 / 50

24. *Maximum deflection of a simply supported beam subjected to concentrated load (w) at the mid-point is

a) wL^3 / 8EI

b) wL^3 / 48EI

c) 5wL^3 / 48EI

d) none of the above

25 / 50

25. If α is the coefficient of linear expansion, T is the rise in temperature, then thermal stress is given by

a) ETα

b) ET/α

c) Eα/T

d) Tα/E

26 / 50

26. *The magnitude of a shear force at a distance of L/4 from either end of a simply supported beam with load P applied at midspan is equal to:

a) P

b) P/2

c) P/4

d) P/8

27 / 50

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

a) maximum

b) minimum

c) either maximum or minimum

d) none of the above

28 / 50

28. The shear force on a beam and the displacement are related by

a) V = EI(d^2y/dx^2)

b) V = EI(d^3y/dx^2)

c) V = EI(d^3y/dx^3)

d) none of the above

29 / 50

29. Which of the following gives Modulus of Rigidity

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

30 / 50

30. 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

31 / 50

31. *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)

32 / 50

32. 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

33 / 50

33. *BM in a cantilever beam having a span of 1.8m and a uniformly distributed load of 4kg/m

a) 4.48 kg-m

b) 5.48 kg-m

c) 6.48 kg-m

d) none of the above

34 / 50

34. *A beam is said to be of uniform strength if

a) bending moment is the same throughout the beam

b) deflection is the same throughout the beam

c) bending stress is the same throughout the beam

d) none of the above

35 / 50

35. 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

36 / 50

36. 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

37 / 50

37. *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

38 / 50

38. 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

39 / 50

39. The moment of inertia of an area will be least with respect to

a) central axis

b) horizontal axis

c) vertical axis

d) none of the above

40 / 50

40. A long vertical member subjected to an axial compressive load is called

a) column

b) strut

c) tie

d) tanchion

41 / 50

41. *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

42 / 50

42. If the value of Young's Modulus of elasticity for a material is zero, it implies that the material is

a) incompressible

b) compressible

c) plastic

d) visco elastic

43 / 50

43. 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)

44 / 50

44. 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

45 / 50

45. *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

46 / 50

46. *The shear force and bending moment are related by

a) V = M/Z

b) V = MY/I

c) V = dM/dx

d) V = Mdx

47 / 50

47. 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

48 / 50

48. 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

49 / 50

49. *Which of the following is dimensionless?

a) bulk modulus

b) strain

c) shear stress

d) none of the above

50 / 50

50. *Strut is a

a) horizontal member

b) vertical member

c) inclined member

d) compression member

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