1. Every cross-section of a shaft, which is subjected to a twisting moment, is under

a) compressive stress b) shear stress c) tensile stress d) bending stress

2. The shear stress at any point of a shaft, subjected to twisting moment is

a) proportional to its distance from the central axis of the shaft

b) inversely proportional to its distance from the central axis of the shaft

c) proportional to the square of its distance from the central axis of the shaft

d) none of the above

3. When a shaft is subjected to torsion, the relation between maximum shear stress( ) modulus of

rigidity of the shaft (C) and angle of twist ( ) is given by

a) C R

L

b)

C

L R

c)

C

R L

d)

C

L R

4) A solid shaft of diameter D transmits the torque equal to (where = maximum allowable shear

stress)

a) 3

32D

b) 3

64D

c) 3

16D

d) 3

8D

5) the torque transmitted by a hollow shaft of external diameter (D) and internal diameter (d) is

equal to

a) 3 332

D d

b) 3 316

D d

c) 4 4

16

D d

D

d) 4 4

32

D d

D

6) Polar moment of inertia of a solid circular shaft of diameter D is equal to

a) 3

32

D b)

4

32

D c)

3

64

D d)

4

64

D

7) Polar moment of inertia of a hollow circular shaft of outer diameter D and inner diameter d is

equal to

a) 3 332

D d

b) 4 432

D d

c) 3 364

D d

d) 4 464

D d

8) Torsional rigidity of a shaft is equal to

a) product of modulus of rigidity and polar moment of inertia

b) Sum of modulus of rigidity and polar moment of inertia

c) difference of modulus of rigidity and polar moment of inertia

d) ratio of modulus of rigidity and polar moment of inertia

9) Polar modulus of a shaft section is equal to

a) product of modulus of rigidity and polar moment of inertia

b) Sum of modulus of rigidity and polar moment of inertia

c) difference of modulus of rigidity and polar moment of inertia

d) ratio of modulus of rigidity and polar moment of inertia

10) The torsional rigidity of a shaft is defined as the torque required to produce

a) maximum twist in the shaft b) maximum shear stress in the shaft

c) minimum twist in the shaft d) minimum shear stress in the shaft

11) the flexural rigidity for the deflection of beams is expressed as

a) I

E b)

E

I c) EI d)

1

EI Where E= modulus of elasticity and I = moment of inertia

12) The greatest twisting moment which a given shaft section can resist is equal to

a) Polar modulus X f b) polar modulus/ c) / polar modulus d) none of the above

13. Choose the correct statement

a) Shafts of the same material and length having the same polar modulus have the same strength

b) for a shaft of a given material, the magnitude of polar modulus is a measure of its strength in

resisting torsion

c) from a number of shafts of the same length and material, the shaft with greatest polar modulus

will resist the maximum twisting moment.

d) all of the above e) none of the above

14. Two shafts, one solid and the other hollow, are made of the same materials and are having same

length and weight. The hollow shaft as compared to solid shaft is

a) more strong b) less strong c) having same strength d) none of the above

15. Two shafts, one solid and the other hollow, are of same length and material. They are subjected

to the same torque and attain the same permissible maximum shear stress at the same time. The

weight of hollow shaft will be

a) more b) less c) same as of solid shaft d) none of the above

16. The torque transmitted by a solid shaft of diameter 40 mm if the shear stress is not to exceed

400 N/mm2, would be

a) 1.6 N m b) 16 N m c) 0.8 N m d) 0.4 N m

17. In the above question 16, the diameter of the solid shaft is doubled, then torque transmitted

would be

a) same b) double c) four times d) eight times

18. In the question 16, the diameter of the solid shaft is made 20mm, then torque transmitted would

be

a) same b) one half c) one-eight d) one- fourth

19. The torsion equation is given by ______________

20. The assumption made, while determining the shear stress in a circular shaft subjected to torsion,

is that:

a) the material of the shaft is uniform b) the twist along the shaft is uniform

c) c/s of the shaft is plane and circular before and after the twist

d) all of the above e) none of the above

21. when a shaft of diameter(d) is subjected to combined twisting moment (T) and bending moment

(M), the maximum shear stress ( ) is equal to

a) 2 2R

M TJ

b) 2 2J

M TT

c) 2 2R M TJ

d) 2 2J M TR

22. In question 21, the maximum normal stress is given by

a) 2 2316 M M Td b) 2 2

3

16M M T

d

c) 2 2316 M M Td d) 2 2

3

16M M T

d

23. A cylindrical vessel is said to be thin if the ratio of its internal diameter to the wall thickness is

a) less than 20 b) equal to 20 c) more than 20 d) none of the above

24. The hoop or circumferential stress in a thin cylindrical shell of diameter (D), length (L) and

thickness (t), when subjected to an internal pressure (p) is equal to

a) 4

pd

t b)

2

pd

t c)

2pD

t d)

4pD

t

25. The longitudinal or axial stress in a thin cylindrical shell of diameter (D) length (L) and thickness

(t), when subjected to an internal pressure (p) is equal to

a) 4

pD

t b)

2

pD

t c)

2pD

t d)

4pD

t

26. The maximum shear stress in a thin cylindrical shell, when subjected to an internal pressure (p) is

equal to

a) 4

pD

t b)

8

pD

t c)

2pD

t d)

4pD

t

27. The maximum shear stress in a thin spherical shell, when subjected to an internal pressure (p) is

equal to

a) 4

pD

t b)

8

pD

t c)

2pD

t d) zero

28. The hoop or circumferential stress in a thin spherical shell, when subjected to an internal

pressure (p) is equal to

a) 4

pD

t b)

8

pD

t c)

2pD

t d) zero

29. The hoop or circumferential stress in a thin cylindrical shell, when subjected to an internal

pressure (p) is equal to

a) 4 l

pD

t b)

4 c

pD

t c)

2 l

pD

t d)

2 c

pD

t

30. The longitudinal stress in a thin cylindrical shell, when subjected to an internal pressure (p) is

equal to

a) 4 l

pD

t b)

4 c

pD

t c)

2 l

pD

t d)

2 c

pD

t

31. Choose the correct statement

a) the hoop stress in a thin cylindrical shell is compressive stress

b) The shear stress in a thin spherical shell is more than that of in a thin cylindrical shell

c) The design of thin cylindrical shell is based on hoop stress

d) The ratio of hoop stress to longitudinal stress for a thin cylindrical shell is

32. A water main 1m in diameter contains a fluid having pressure 1 N/mm2. If the maximum

permissible tensile stress in the metal is 20 N/mm2, the thickness of the metal required would be

a) 2 cm b) 2.5cm c) 1 cm d) 0.5 cm

33. The circumferential strain in case of thin cylindrical shell, when subjected to internal pressure (p)

is equal to

a) 1 1

2 2

pd

tE m

b)

11

2 2

pd

tE m

c)

11

4

pd

tE m

d)

3 11

4

pd

tE m

34. The longitudinal strain in case of thin cylindrical shell, when subjected to internal pressure (p) is

equal to

a) 1 1

2 2

pd

tE m

b)

11

2 2

pd

tE m

c)

11

4

pd

tE m

d)

3 11

4

pd

tE m

35. The longitudinal strain in case of thin spherical shell, when subjected to internal pressure (p) is

equal to

a) 1 1

2 2

pd

tE m

b)

11

2 2

pd

tE m

c)

11

4

pd

tE m

d)

3 11

4

pd

tE m

36. The volumetric strain in case of thin spherical shell, when subjected to internal pressure (p), is

equal to

a) 1 1

2 2

pd

tE m

b)

11

2 2

pd

tE m

c)

11

4

pd

tE m

d)

3 11

4

pd

tE m

37. The circumferential strain in case of thin cylindrical shell, when subjected to internal pressure (p)

is equal to

a) more than diametral strain b) less than diametral strain

c) equal to diametral strain d) none of the above.

38. The radius taken into consideration in calculating the stress in a hollow shaft subjected to torsion

is _____________

39. A cylindrical section having no joint is known as

a) jointless section b) homogeneous section c) perfect section d) manufactured section e)

seamless section

40. A boiler shell 200 cm diameter and plate thickness 1.5cm is subjected to internal pressure of 1.5

MN/m2, then the hoop stress will be

a) 30 MN/m2 b) 50 MN/m2 c) 100 MN/m2 d) 200 MN/m2 e) 300 MN/m2

41. Thin cylinders are used to store

a) water b) oil c) gas d) steam e) any of the above

42. The safe twisting moment for a compound shaft is equal to

a) maximum calculated value

b) minimum calculated value

c) mean value

d) extreme value

e) none of the above

43. The ratio of maximum shear stress to maximum normal stress at any point in a solid circular

shaft is

a) 1 b) c) 2 d) 2/3 e) 3/2

44. The value of shear stress which is induced in the shaft due to the applied couple varies

a) from maximum at the centre to zero at the circumference

b) from zero at the centre to maximum at the circumference

c) from maximum at the centre to minimum at the circumference

d) from minimum at the centre to maximum at the circumference

e) none of the above

45. A large cylindrical vessel was sealed in summer. What is likely to happen to it in winter.

a) nothing b) explode c) buckle and collapse d) become lighter e) seal will get loosened

46. Pressure vessels are not made of rectangular shape, because

a) these are difficult to fabricate

b) they are not economical

c) it has been practice to use cylindrical vessels

d) they do not give pleasing appearance

e) none of the above

47. The ratio of maximum shear stress to the average shear stress in case of a circular beam

transmitting power is equal to

a) 3/2 b) 4/3 c) 7/4 d) 2

48. The ratio of maximum shear stress to the average shear stress in case of a rectangular beam

subjected to torsion equal to

a) 3/2 b) 4/3 c) 7/4 d) 2 e) 5/2

49. A hollow shaft of same cross-section area as solid shaft transmits

a) same torque b) less torque c) more torque