Free Printable TORSION

1.

Modulus of rigidity is the ratio of ______

a)

Lateral strain and linear strain

b)

Linear stress and lateral strain

c)

Shear stress and shear strain

d)

Shear strain and shear stress

2.

This is an example of what type of force?

a)

Shear

b)

Torsion

c)

Compression

d)

Tension

e)

Bending

3.

A torque wrench is used to measure how much force is applied to a bolt to ensure the bolt is not over stretched. What force does it measure?

a)

Compression

b)

Tension

c)

Torsion

d)

Shear

4.

Which parameter is not related angle of twist?

a)

Member's length

b)

Polar moment of inertia

c)

Shear modulus

d)

Elastic modulus

5.

What is the form of displacement due to torsion?

a)

Axial strain

b)

Shear strain

c)

Elongation

d)

Contraction

6.

If the angle of twist is small, the length of the shaft and its radius will remain unchanged.

a)

True

b)

False

7.

The shear strain, γ is zero at the outer boundary and reaches maximum γ_max at the axis of the shaft.

a)

True

b)

False

8.

τ will vary from zero at the shaft’s longitudinal axis to a maximum value, τ_max at its outer surface.

a)

True

b)

False

9.

Torsion applied to a circular shaft results in a twist of 1° over a length of 1m. The maximum shear stress introduce is 120N/mm2 . What is the radius of the shaft?

a)

300/π

b)

180/π

c)

90/π

d)

270/π

10.

A bar of circular cross-section of diameter D is subjected to torque T at B as shown in the figure given below. What is the angle of twist at A?

a)

Same as that at B

b)

Zero

c)

Twice as that at B

d)

Half as that of B

11.

A stepped circular shaft is fixed at A and C as shown in the above figure. The diameter of the shaft along BC is twice that of as along AB. the torque required for unit twist at B is

a)

2GJ/l

b)

5GJ/l

c)

9GJ/l

d)

17GJ/l

12.

Twisting moment is a moment applied in the plane of cross section acting

a)

Along longitudinal

b)

About longitudinal axis

c)

About neutral axis

d)

None of the above

13.

When a shaft is subjected to pure twisting, the type of stress developed In the shaft is

a)

Bending stress

b)

Axial stress

c)

Shear stress

d)

Normal stress

14.

In a shaft subjected to pure twist the shear stress pat pant section is maximum at

a)

Centre of section

b)

Mid radius

c)

Surface

d)

3/4 radius from centre

15.

Polar moment of inertia is

a)

The MI about an axis in the plane of cross section

b)

The product of inertia

c)

About the axis of member

d)

None of the above

16.

A circular shaft is subjected to torsion. The shear stress in the cross section.

a)

Varies parabolically with the maximum stress occuring at the centre

b)

Uniform over the section

c)

Varies linearly with the radius with the maximum at the circumference and zero at the centre

d)

None of the above

17.

Torsional rigidity is

a)

Also known as flexural rigidity.

b)

The product of modulus of elasticity and moment of inertia

c)

The torque which develops unit twist per unit length

d)

The product of shear modulus and moment of inertia

18.

For transmitting same power, all properties remaining same, between a solid and hollow shaft

a)

Solid shaft is economical

b)

Hollow shaft is economical

c)

Both cost same

d)

None of these

19.

A shaft is simultaneously subject to a torque T and bending moment M. The ratio of maximum shear stress to bending stress is

a)

M/T

b)

T/M

c)

2M/T

d)

T/2M

20.

Fora rectangular shaft subjected to torsion, the maximum shear stress occurs at

a)

A

b)

B

c)

C

d)

D

21.

A 60mm dia. Shaft is subjected to a torque of 6kN-m. G =8x10^4N/mm2. The maximum shear stress induced in the shaft in N/mm2

a)

8000/9π

b)

4000/9π

c)

12000/9π

d)

16000/9π

22.

The ratio of torsional moments of resistance of a solid circular shaft of diameter D to that of a hollow shaft with external diameter D and internal diameter d is

a)

b)

c)

d)

23.

A solid shaft has length and diameter Ls and D respectively. A hollow shaft of length Lh. External diameter D, and internal diameter d respectively. Both are of the same material. The ratio of torsional stiffness of hollow shaft to that of solid shaftis

a)

b)

c)

d)

24.

A solid shaft of circular cross-section is subjected to torque T which produces a maximum shear stress in the shaft. The diameter of the shaft will be

a)

b)

c)

d)

25.

a)

0.5

b)

1

c)

1.5

d)

0

26.

2 shafts are of equal length and same material. the external dila of both the shafts are same and internal dia. Of hollow shaft of that of external dia. The ratio of the strength of solid to hollow shaft is

a)

8/7

b)

17/16

c)

1.5

d)

16/15

27.

The maximum shear stress developed in the shaft in MPa is

a)

58.36

b)

25.94

c)

15.14

d)

None

28.

The angle of twist in degrees of gear A relative to C is

a)

2.36

b)

5.87

c)

7.14

d)

1.56

29.

The ratio of strengths of solid to hollow shafts, both having outside diameter D and hollow having inside diameter D/2, in torsion, is

a)

1/16

b)

1/4

c)

1/2

d)

15/16

30.

The maximum twisting moment a shaft can resist, is the product of the permissible shear stress and

a)

polar moment of inertia

b)

modulus of rigidity

c)

moment of inertia

d)

polar modulus

31.

The product of the tangential force acting on the shaft and its distance from the axis of the shaft (i.e. radius of shaft) is known as

a)

flexural rigidity

b)

torsional rigidity

c)

bending moment

d)

twisting moment

32.

In the torsion equation the term J/R is called

a)

shear modulus

b)

section modulus

c)

polar modulus

d)

none of these

33.

The section modulus of a circular section about an axis through its C.G., is

a)

πd²/4

b)

πd²/16

c)

πd³/16

d)

πd³/32

34.

The shear stress at the center of a circular shaft under torsion is

a)

zero

b)

minimum

c)

Maximum

d)

Infinity

35.

The first moment of area about the axis of bending for a beam cross-section is:

a)

moment of inertia

b)

section modulus

c)

shape factor

d)

polar moment of inertia

36.

Identify the point where shear stress will be minimum on a cylindrical rod subjected to torsion.

a)

at center

b)

at outer surface

c)

constant everywhere

d)

zero everywhere

37.

A solid cylinder and hollow cylinder having same outer diameter subjected to torsion T. Choose the one experiencing higher shear stress.

a)

Hollow cylinder

b)

Solid cylinder

c)

Equal shear stress in both

d)

None of the above

38.

If N is the number of rotation per SECOND (RPS) for a rotating shaft subjected to a torsion T. Identify the expression for power transmitted by the shaft

a)

$2\cdot\pi\cdot N\cdot T\ \div60$

b)

$2\cdot\pi\cdot N\cdot T$

c)

$\pi\cdot N\cdot T$

d)

$\pi\cdot N\cdot T\ \div60$

39.

If 2 shafts are connected in series, ...... will be equal in both.

a)

Torsion

b)

Angle of twist

c)

Maximum shear stress

d)

Shear strain

40.

shear stress distribution due to torsion on cross section of solid cylinder will be

a)

Constant

b)

Linear

c)

Second degree

d)

None of the above

41.

The formula for Torsional stiffness is

a)

$\frac{CJ}{L}$

b)

$\frac{L}{CJ}$

c)

$\frac{J}{R}$

d)

$\frac{C\theta}{L}$

42.

The torque transmitted in a hollow shaft can be calculated from

a)

$\frac{\pi}{16}\times\tau\times\frac{\left(D_o^3-D_i^3\right)}{D_o}$

b)

$\frac{\pi}{16}\times\tau\times\frac{\left(D_o^4-D_i^4\right)}{D_o}$

c)

$\frac{\pi}{16}\times\tau\times\frac{\left(D_o^4-D_i^4\right)}{D_i}$

d)

$\frac{\pi}{16}\times\tau\times D^3$

43.

Torsional sectional modulus is also known as _________

a)

Polar modulus

b)

Sectional modulus

c)

Torsion modulus

d)

Torsional rigidity

44.

What are the units of torsional rigidity?

a)

Nmm^2

b)

N/mm

c)

N-mm

d)

N

45.

A shaft is said to be in pure torsion if

a)

Turning moment is applied at one end and other end is free

b)

Turning force is applied at one end and other end is free

c)

Two opposite turning moments are applied to the shaft

d)

Combination of torsional load and bending load is applied to the shaft

46.

Which material is suitable for shaft material?

a)

High speed steel

b)

Stainless steel or high carbon steel

c)

Grey cast iron

d)

Steel having approx. 0.4% carbon and 0.8% manganese

47.

Two shafts in torsion will have equal strength if

a)

Only diameter of the shafts is same

b)

Only angle of twist of the shaft is same

c)

Only material of the shaft is same

d)

Only torque transmitting capacity of the shaft is same

48.

Which of the following is incorrect?

a)

In torsion equation, we use mean torque

b)

In torsion equation, we use maximum torque

c)

Many shafts are designed under combined bending and torsion load

d)

Shafts are also designed for torsional rigidity

49.

Which of the following is incorrect?

a)

In a solid shaft maximum shear stress occurs at radius = radius of shaft

b)

In a solid shaft maximum shear stress occurs at center

c)

In a hollow shaft maximum shear stress occurs at outer radius

d)

In a hollow shaft minimum shear stress occurs at inner radius

50.

Which of the following is not an assumption in derivation of torsion equation?

a)

Circular shaft remains circular after twisting

b)

Plane section of the shaft remain plane after twisting

c)

Material of shaft is isotropic

d)

Angle of twist is proportional to radius

51.

Strength of a shaft

a)

Is equal to maximum shear stress in the shaft at the time of elastic failure

b)

Is equal to maximum shear stress in the shaft at the time of rupture

c)

Is equal to torsional rigidity

d)

Is ability to resist maximum twisting moment

52.

For same weight, same material, same length

a)

Solid shaft is always stronger than a hollow shaft

b)

Solid shaft is always weaker than a hollow shaft and strength ratio will depend upon Do/Di of hollow shaft

c)

Strength of both the shafts in equal

d)

Strength of a solid shaft is always weaker and the strength ratio will depend upon Do/Di of hollow shaft

53.

For two shafts in series or having different diameters for two parts of length

a)

T = T1 + T2

b)

T = T1 = T2

c)

T = T1 – T2

d)

T = (T1.T2)^1/2

54.

For two shafts in parallel or for two concentric shafts

a)

T = T1 + T2

b)

T = T1 = T2

c)

T = T1 – T2

d)

T = (T1.T2)^1/2

55.

Which of the following assumptions are made in torsion theory?

a)

Shaft is perfectly straight

b)

Material of the shaft is heterogeneous

c)

Twist cannot be uniform along the length of the shaft

d)

All of the above

56.

A member subjected to couple produces rotational motion about its longitudinal axis called as ________

a)

torsion

b)

twisting moment

c)

both a. and b.

d)

none of the above

57.

Stress in the cross section of a shaft at the centre ________

a)

is zero

b)

decreases linearly to the maximum value of at outer surface

c)

both a. and b.

d)

none of the above

58.

The safe twisting moment for a compound shaft is equal to the

a)

Maximum calculated value

b)

Minimum calculated value

c)

Mean value

d)

Extreme value

59.

The torsional rigidity of a shaft is expressed by the

a)

Maximum torque it can transmit

b)

Number of cycles it undergoes before failure

c)

Elastic limit upto which it resists torsion, shear and bending stresses torque required to produce a twist of one radian per unit length of shaft

d)

maximum power it can transmit at highest possible speed.

60.

A shaft is said to be in pure torsion if

a)

Turning moment is applied at one end and other end is free

b)

Turning force is applied at one end and other end is free

c)

Two opposite turning moments are applied to the shaft

61.

Which property is not required for shaft materials?

a)

High shear and tensile strength

b)

Good castability

c)

High fatigue strength

62.

Which material is suitable for shaft material?

a)

Stainless steel or high carbon steel

b)

Grey cast iron

c)

Steel having approx. 0.4% carbon and 0.8% manganese

d)

All of the above

63.

From the torsion equation, name the term represented by letter T

a)

torque

b)

temperature

c)

time

d)

length

64.

From the torsion equation, name the term represented by letter J

a)

radius of curvature

b)

diameter

c)

polar moment inertia

d)

joule

65.

From the torsion equation, name the term represented by letter L

a)

diameter

b)

radius

c)

depth

d)

length

66.

Formula J for solid shaft is ; $J=\frac{\pi D^4}{32}$ , true or false

a)

True

b)

False

67.

From the torsion equation, name the term represented by letter R

a)

diameter

b)

radius of curvature

c)

length

d)

torque

68.

From the torsion equation, name the term represented by letter $\tau$ ;

a)

maximum shear stress

b)

maximum yield stress

c)

maximum strain

d)

maximum tensile strain

69.

From the torsion equation, name the term represented by letter $\theta$

a)

angle of twist

b)

radius

c)

radius of curvature

d)

diameter

70.

For series connection shafts the torque can be; $T=T_{1\ }=\ T_2$

a)

True

b)

False

71.

For parallel connection shafts the torque can be;

$T=T_1\ +T_2\$

a)

True

b)

False

72.

For parallel connection shafts the angle of twist, can be;

$\theta=\theta_1\ +\theta_2$

a)

True

b)

False

73.

A 10 m solid steel shaft is subjected to a torque of 15kNm resulting an angle of twist of 4^o from its original position. Given G = 85 GPa. Calculate:

a)The minimum diameter of the steel shaft.

a)

123mm

b)

125mm

c)

121mm

d)

127mm

74.

A 10 m solid steel shaft is subjected to a torque of 15kNm resulting an angle of twist of 4^o from its original position. Given G = 85 GPa. Calculate:

b)The maximum shearing stress developed.

a)

$37.29×10^6N⁄m^2$

b)

$47.29×10^6N⁄m^2$

c)

$27.29×10^6N⁄m^2$

d)

$17.29×10^6N⁄m^2$

75.

A steel propeller shaft in a length of 26 m transmits 5 MW of power at 210 rpm without exceeding a shearing stress of 50 MPa and twisting angle not more than 2^o. Calculate ;

a) The torque of the shaft

a)

$899.36×10^3Nm$

b)

$227.36×10^6Nm$

c)

$727.76×10^3Nm$

d)

$227.36×10^3\ Nm$

76.

A solid shaft with a 60mm diameter and 180mm length is subjected to a torque 180Nm. Calculate;

a)Polar moment of area for the shaft

a)

$1.272\ \times10^{-6}\ \ m^4\$

b)

$1.772×10^{-6}\ m^4$

c)

$1.972×10^{-4}\ m^4$

d)

$1.272×10^{-2}\ m^4$

77.

The shaft is always stepped with ________ diameter at the middle portion and __________ diameter at the shaft ends.

a)

a) Minimum, maximum

b)

b) Maximum, minimum

c)

c) Minimum, minimum

d)

d) Zero, infinity

78.

When the shaft is subjected to pure torsional moment, the torsional stress is given by?

a)

a) None of the listed

b)

b) 32M/πdᵌ

c)

c) 16M/πdᵌ

d)

d) 8M/πdᵌ

TORSION

Total questions: 78

Worksheet time: 39mins

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