A hollow shaft of 1 m length is designed to transmit a power of 30 kW at 700 rpm. The maximum permissible angle of twist in the shaft is 1o. The inner diameter of the shaft is 0.7 times the outer diameter. The modulus of rigidity is 80 GPa. The outside diameter (in mm) of the shaft is _______. (a) 43 to 45 (b) 50to 60 (c) 70 to 80 (d) 85 to 100

A hollow shaft of 1 m length is designed to transmit a power of 30 kW at 700 rpm. The  maximum permissible angle of twist in the shaft is 1o. The inner diameter of the shaft is 0.7 times  the outer diameter. The modulus of rigidity is 80 GPa. The outside diameter (in mm) of the shaft  is _______.
(a) 43 to 45
(b) 50to 60
(c) 70 to 80
(d) 85 to 100
by

1 Answer

Answer :

(a) 43 to 45
by

Related questions

Calculate the shaft diameter on rigidity basis if torsional moment is 196000N-mm, length of shaft is 1000mm. Permissible angle of twist per meter is 0.5’ and take G=79300N/mm². a) None of the listed b) 41.2mm c) 35.8mm d) 38.8mm

Description : Calculate the shaft diameter on rigidity basis if torsional moment is 196000N-mm, length of shaft is 1000mm. Permissible angle of twist per meter is 0.5’ and take G=79300N/mm². a) None of the listed b) 41.2mm c) 35.8mm d) 38.8mm

Last Answer : b) 41.2mm

What is the shear stress acting on the outer surface of a hollow shaft subjected to a torque of 100 Nm?(The inner and outer diameter of the shaft is 15 mm and 30 mm respectively.) a. 50.26 N/mm2 b. 40.24 N/mm2 c. 20.120 N/mm2 d. 8.74 N/mm2

Description : What is the shear stress acting on the outer surface of a hollow shaft subjected to a torque of 100 Nm?(The inner and outer diameter of the shaft is 15 mm and 30 mm respectively.) a. 50.26 N/mm2 b. 40.24 N/mm2 c. 20.120 N/mm2 d. 8.74 N/mm2

Last Answer : c. 20.120 N/mm2

Determine number of coils in a helical compression spring, if modulus of rigidity is 80 Gpa and spring stiffness is 50 N/ mm. Assume wire diameter and spring index as 8 mm and 5 respectively a. 11.8 turns b. 12.8 turns c. 13.3 turns d. None of the above

Description : Determine number of coils in a helical compression spring, if modulus of rigidity is 80 Gpa and spring stiffness is 50 N/ mm. Assume wire diameter and spring index as 8 mm and 5 respectively a. 11.8 turns b. 12.8 turns c. 13.3 turns d. None of the above

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A circular shaft subjected to torsion undergoes a twist of 10in a length of 120 cm. If the maximum shear stress induced is limited to 1000 kg/cm2and if modulus of rigidity G = 0.8 x 106then the radius of the shaft should be (a) p/8 (b) p/27 (c) 18/p (d) 27/p

Description : A circular shaft subjected to torsion undergoes a twist of 10in a length of 120 cm. If the maximum shear stress induced is limited to 1000 kg/cm2and if modulus of rigidity G = 0.8 x 106then the radius of the shaft should be (a) p/8 (b) p/27 (c) 18/p (d) 27/p

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Calculate the shaft diameter on rigidity basis if torsional moment is 196000N-mm, length of shaft is 1000mm. Permissible angle of twist per meter is 0.5’ and take G=79300N/mm2. a) None of the listed b) 41.2mm c) 35.8mm d) 38.8mm

Description : Calculate the shaft diameter on rigidity basis if torsional moment is 196000N-mm, length of shaft is 1000mm. Permissible angle of twist per meter is 0.5’ and take G=79300N/mm2. a) None of the listed b) 41.2mm c) 35.8mm d) 38.8mm

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Description : A compression spring is made of music wire of 2 mm diameter having a shear strength and shear modulus of 800 Mpa and 80 Gpa respectively. The mean coil diameter is 20mm, free length is 40 mm, and the number ... by 8 times b. decreased by 2 times c. increased by 2 times d. decreased by 8 times

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A hollow shaft has an inner diameter of 3.7 cm and an outer diameter of 4.0 cm. A 1 kN-m torque is applied to this shaft. What is the shear stress at the mid-radius of this shaft? (a) 117Mpa (b) 178 Mpa (c) 286 Mpa (d) 363 Mpa

Description : A hollow shaft has an inner diameter of 3.7 cm and an outer diameter of 4.0 cm. A 1 kN-m torque is applied to this shaft. What is the shear stress at the mid-radius of this shaft? (a) 117Mpa (b) 178 Mpa (c) 286 Mpa (d) 363 Mpa

Last Answer : (c) 286 Mpa

Compute the maximum shearing stress developed in a phosphor bronze spring having mean diameter of 200 mm and consisting of 24 turns of 20-mm diameter wire when the spring is stretched 100 mm. and G = 42 GPa. a. 51 MPa b. 31.89 MPa c. 80 MPa d. 70 MPa

Description : Compute the maximum shearing stress developed in a phosphor bronze spring having mean diameter of 200 mm and consisting of 24 turns of 20-mm diameter wire when the spring is stretched 100 mm. and G = 42 GPa. a. 51 MPa b. 31.89 MPa c. 80 MPa d. 70 MPa

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Description : The ratio of strength of a hollow shaft to that of a solid shaft subjected to torsion if both are of the same material and of the same outer diameters, the inner diameter of hollow shaft being half of the outer diameter is a. 15/16 b. 16/15 c. 7/8 d. 8/7

Last Answer : a. 15/16

A shaft turns at 150 rpm under a torque of 1500 N-m. Power transmitted is (a) 15p kW (b) 10p kW (c) 7.5p kW (d) 5p kW (IES 1999) Hint: P = 2pNT/60

Description : A shaft turns at 150 rpm under a torque of 1500 N-m. Power transmitted is (a) 15p kW (b) 10p kW (c) 7.5p kW (d) 5p kW (IES 1999) Hint: P = 2pNT/60

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Description : The polar moment of inertia of a hollow shaft of outer diameter (D) and inner diameter (d) is given by. (a)π/16(D3-d3) (b) π/16(D4-d4) (c) π/16(D4-d4) (d) π/16(D4-d4/d)

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The shafts will have same strength on the basis of torsional rigidity, if (a) diameter and length of both shafts is same (b) material of both shafts is same (c) angle of twist for both shafts is same (d) all of above conditions are satisfied

Description : The shafts will have same strength on the basis of torsional rigidity, if (a) diameter and length of both shafts is same (b) material of both shafts is same (c) angle of twist for both shafts is same (d) all of above conditions are satisfied

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Description : A hollow prismatic beam of circular section is subjected to a torsional moment. The maximum shear stress occurs at (a) inner wall of cross section (b) middle of thickness (c) outer surface of shaft (d) none of these

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Description : 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 ... maximum shear stress occurs at outer radius d. In a hollow shaft minimum shear stress occurs at inner radius

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Description : In a shaft, the shear stress is not directly proportional to  (A) Radius of the shaft  (B) Angle of twist  (C) Length of the shaft  (D) Modulus of rigidity

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Description : Pick up the incorrect statement from the following: The torsional resistance of a shaft is directly  proportional to  (A) Modulus of rigidity  (B) Angle of twist  (C) Reciprocal of the length of the shaft  (D) Moment of inertia of the shaft section 

Last Answer : (D) Moment of inertia of the shaft section 

While designing shaft on the basis of torsional rigidity, angle of twist is given by? a) 100Ml/Gd⁴ b) 584Ml/Gd⁴ c) 292 Ml/Gd⁴ d) 300 Ml/Gd⁴

Description : While designing shaft on the basis of torsional rigidity, angle of twist is given by? a) 100Ml/Gd⁴ b) 584Ml/Gd⁴ c) 292 Ml/Gd⁴ d) 300 Ml/Gd⁴

Last Answer : b) 584Ml/Gd⁴

The angle of twist for a transmission shaft is inversely proportional to (a) shaft diameter (b) (shaft diameter)2 (c) (shaft diameter)3 (d) (shaft diameter)4

Description : The angle of twist for a transmission shaft is inversely proportional to (a) shaft diameter (b) (shaft diameter)2 (c) (shaft diameter)3 (d) (shaft diameter)4

Last Answer : (a) shaft diameter

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

Description : 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

Last Answer : d. Only torque transmitting capacity of the shaft is same

Torque and bending moment of 100 kN.m and 200 kN.m acts on a shaft which has external diameter twice of internal diameter. What is the external diameter of the shaft which is subjected to a maximum shear stress of 90 N/mm2? a. 116.5 mm b. 233.025 mm c. 587.1 mm d. 900 mm

Description : Torque and bending moment of 100 kN.m and 200 kN.m acts on a shaft which has external diameter twice of internal diameter. What is the external diameter of the shaft which is subjected to a maximum shear stress of 90 N/mm2? a. 116.5 mm b. 233.025 mm c. 587.1 mm d. 900 mm

Last Answer : c. 587.1 mm

A solid shaft has diameter 80 mm. It is subjected to a torque of 4 KNm. The maximum shear stress induced in the shaft would be (a) 75/p N/mm2 (b) 250/p N/mm2 (c) 125/p N/mm2 (d) 150/p N/mm2

Description : A solid shaft has diameter 80 mm. It is subjected to a torque of 4 KNm. The maximum shear stress induced in the shaft would be (a) 75/p N/mm2 (b) 250/p N/mm2 (c) 125/p N/mm2 (d) 150/p N/mm2

Last Answer : (c) 125/p N/mm2

If the strain energy stored per unit volume in a hollow shaft subjected to a pure torque when t attains maximum shear stress fs the ratio of inner diameter to outer diameter, is 17/64 (fs/N) (A) 1/2 (B) 1/3 (C) 1/4 (D) 1/5

Description : If the strain energy stored per unit volume in a hollow shaft subjected to a pure torque  when t attains maximum shear stress fs  the ratio of inner diameter to outer diameter, is 17/64  (fs/N)  (A) 1/2  (B) 1/3  (C) 1/4  (D) 1/5

Last Answer : (C) 1/4 

Find total number coils in a spring having square and ground ends. Deflection in the spring is 6mm when load of 1100N is applied. Modulus of rigidity is 81370N/mm². Wire diameter and pitch circle diameter are 10mm and 50mm respectively. a) 7 b) 6 c) 5 d) 4

Description : Find total number coils in a spring having square and ground ends. Deflection in the spring is 6mm when load of 1100N is applied. Modulus of rigidity is 81370N/mm². Wire diameter and pitch circle diameter are 10mm and 50mm respectively. a) 7 b) 6 c) 5 d) 4

Last Answer : a) 7

A cantilever shaft having 50 mm diameter and a length of 300mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m^2. Determine the static deflection of shaft in mm. A 0.144 B 0.244 C 0.344 D 0.444

Description : A cantilever shaft having 50 mm diameter and a length of 300mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m^2. Determine the static deflection of shaft in mm. A 0.144 B 0.244 C 0.344 D 0.444

Last Answer : A 0.144

A cantilever shaft having 50 mm diameter and a length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m 3 . Determine the static deflection of the shaft in mm. a) 0.147 b) 0.213 c) 0.132 d) 0.112

Description : A cantilever shaft having 50 mm diameter and a length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m 3 . Determine the static deflection of the shaft in mm. a) 0.147 b) 0.213 c) 0.132 d) 0.112

Last Answer : a) 0.147

A shaft of length L is subject to a constant twisting moment T along its length L, then angle q through which one end of the bar will twist relative to other will be (a) T/g (b) T/GJ (c) GJ/TL (d) TL/GJ

Description : A shaft of length L is subject to a constant twisting moment T along its length L, then angle q through which one end of the bar will twist relative to other will be (a) T/g (b) T/GJ (c) GJ/TL (d) TL/GJ

Last Answer : (d) TL/GJ

Determine the maximum shearing stress and elongation in a helical steel spring composed of 20 turns of 20-mm-diameter wire on a mean radius of 90 mm when the spring is supporting a load of 1.5 kN. and G = 83 GPa. a. 200 mm b. 105.4 mm c. 150 mm d. 250 mm

Description : Determine the maximum shearing stress and elongation in a helical steel spring composed of 20 turns of 20-mm-diameter wire on a mean radius of 90 mm when the spring is supporting a load of 1.5 kN. and G = 83 GPa. a. 200 mm b. 105.4 mm c. 150 mm d. 250 mm

Last Answer : b. 105.4 mm

A simply supported beam carries uniformly distributed load of 20 kN/m over the length of 5 m. If flexural rigidity is 30000 kN.m2, what is the maximum deflection in the beam? a. 5.4 mm b. 1.08 mm c. 6.2 mm d. 8.6 mm

Description : A simply supported beam carries uniformly distributed load of 20 kN/m over the length of 5 m. If flexural rigidity is 30000 kN.m2, what is the maximum deflection in the beam? a. 5.4 mm b. 1.08 mm c. 6.2 mm d. 8.6 mm

Last Answer : a. 5.4 mm

A cantilever shaft having 50 mm diameter and length of 300 mm has a disc of mass 100 kg at its free enD. The Young’s modulus for the shaft material is 200 GN/m 2 . Calculate the natural longitudinal frequency in Hz. A. 575B. 625 C. 525 D. 550

Description : A cantilever shaft having 50 mm diameter and length of 300 mm has a disc of mass 100 kg at its free enD. The Young’s modulus for the shaft material is 200 GN/m 2 . Calculate the natural longitudinal frequency in Hz. A. 575B. 625 C. 525 D. 550

Last Answer : A. 575

A cantilever shaft having 50 mm diameter and a length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m 2 . Determine the frequency of transverse vibrations of the shaft. a) 31 b) 35 c) 37 d) 41

Description : A cantilever shaft having 50 mm diameter and a length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m 2 . Determine the frequency of transverse vibrations of the shaft. a) 31 b) 35 c) 37 d) 41

Last Answer : d) 41

A cantilever shaft having 50 mm diameter and length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m 2 . Calculate the natural longitudinal frequency in Hz. a) 575 b) 625 c) 525 d) 550

Description : A cantilever shaft having 50 mm diameter and length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m 2 . Calculate the natural longitudinal frequency in Hz. a) 575 b) 625 c) 525 d) 550

Last Answer : a) 575

A solid circular shaft of diameter 100 mm is subjected to an axial stress of 50 Mpa. It is further subjected to a torque of 10 kNm. The maximum principal stress experienced on the shaft is closest to (a) 41Mpa (b) 82 Mpa (c) 164 Mpa (d) 204 Mpa

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Last Answer : (b) 82 Mpa

The length of a column, having a uniform circular cross-section of 7.5 cm diameter and whose endsare hinged, is 5 m. If the value of E for the material is 2100 tonnes/cm2, the permissible maximumcrippling load will be (a) 1.288 tonnes (b) 12.88 (c) 128.8 tonnes (d) 288.0

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Last Answer : (b) 12.88

If a solid shaft (diameter 20 cm, length 400 cm, N = 0.8 × 105 N/mm2 ) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm2 , the angle of twist in radians, is (A) 0.001 (B) 0.002 (C) 0.0025 (D) 0.003

Description : If a solid shaft (diameter 20 cm, length 400 cm, N = 0.8 × 105  N/mm2 ) when subjected to a twisting  moment, produces maximum shear stress of 50 N/mm2 , the angle of twist in radians, is  (A) 0.001  (B) 0.002  (C) 0.0025  (D) 0.003 

Last Answer : (C) 0.0025 

Power in watts in a shaft having N RPM is given by the equation (a) Power = 2π NT/60 (b) Power = 2π N T (c) Power = 2000 π N T/60 (d) None

Description : Power in watts in a shaft having N RPM is given by the equation (a) Power = 2π NT/60 (b) Power = 2π N T (c) Power = 2000 π N T/60 (d) None

Last Answer : (a) Power = 2π NT/60

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

Description : 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

Last Answer : d. Angle of twist is proportional to radius

For two shafts joined in parallel, the --------------- in each shaft is same. a. shear stress. b. Angle of twist c. torque d. torsional stress.

Description : For two shafts joined in parallel, the --------------- in each shaft is same. a. shear stress. b. Angle of twist c. torque d. torsional stress.

Last Answer : b. Angle of twist

For two shafts joined in series, the --------------- in each shaft is same. a. shear stress. b. Angle of twist c. torque d. torsional stress.

Description : For two shafts joined in series, the --------------- in each shaft is same. a. shear stress. b. Angle of twist c. torque d. torsional stress.

Last Answer : c. torque

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Description : Angle of twist of a circular shaft is given by a. GJ/Tl b. Tl/GJ. c. TJ/Gl. d.TG/Jl.

Last Answer : b. Tl/GJ.

The shafts will have same strength on the basis of torsional rigidity, if (A) Diameter and length of both shafts is same (B) Material of both shafts is same (C) Angle of twist for both shafts is same (D) All of above conditions are satisfied

Description : The shafts will have same strength on the basis of torsional rigidity, if (A) Diameter and length of both shafts is same (B) Material of both shafts is same (C) Angle of twist for both shafts is same (D) All of above conditions are satisfied

Last Answer : (D) All of above conditions are satisfied

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. Shaft is perfectly curve

Description : 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. Shaft is perfectly curve v

Last Answer : a. Shaft is perfectly straight b. Material of the shaft is heterogeneous

What is the maximum shear stress induced in a solid shaft of 50 mm diameter which is subjected to both bending moment and torque of 300 kN.mm and 200 kN.mm respectively? a. 9.11 N/mm2 b. 14.69 N/mm2 c. 16.22 N/mm2 d. 20.98 N/mm2

Description : What is the maximum shear stress induced in a solid shaft of 50 mm diameter which is subjected to both bending moment and torque of 300 kN.mm and 200 kN.mm respectively? a. 9.11 N/mm2 b. 14.69 N/mm2 c. 16.22 N/mm2 d. 20.98 N/mm2

Last Answer : b. 14.69 N/mm2

What is the maximum principle stress induced in a solid shaft of 40 mm diameter which is subjected to both bending moment and torque of 300 kN.mm and 150 kN.mm respectively? a. 21.69 N/mm2 b. 28.1 N/mm2 c. 50.57 N/mm2 d. 52.32 N/mm2

Description : What is the maximum principle stress induced in a solid shaft of 40 mm diameter which is subjected to both bending moment and torque of 300 kN.mm and 150 kN.mm respectively? a. 21.69 N/mm2 b. 28.1 N/mm2 c. 50.57 N/mm2 d. 52.32 N/mm2

Last Answer : c. 50.57 N/mm2

A short, hollow cast iron cylinder with a wall thickness of 1 cm is to carry a compressive load of 10 tonnes. If the working stress in compression is 800 kg/cm2, the outside diameter of the cylinder should not be less than a) 0.5cm b) 5 cm c) 2.5cm d) 4.5 cm

Description : A short, hollow cast iron cylinder with a wall thickness of 1 cm is to carry a compressive load of 10 tonnes. If the working stress in compression is 800 kg/cm2, the outside diameter of the cylinder should not be less than a) 0.5cm b) 5 cm c) 2.5cm d) 4.5 cm

Last Answer : b) 5 cm

If 20 kg of coarse aggregate is sieved through 80 mm, 40 mm, 20 mm, 10 mm, 4.75 mm, 2.36 mm, 1.18 mm, 600 micron, 300 micron and 150 micron standard sieves and the weights retained are 0 kg, 2 kg, 8 kg, 6 kg, 4 kg respectively, the fineness modulus of the aggregate, is (A) 7.30 (B) 7.35 (C) 7.40 (D) 7.45

Description : If 20 kg of coarse aggregate is sieved through 80 mm, 40 mm, 20 mm, 10 mm, 4.75 mm, 2.36 mm, 1.18 mm, 600 micron, 300 micron and 150 micron standard sieves and the weights retained are 0 kg, 2 kg, 8 kg, ... , the fineness modulus of the aggregate, is (A) 7.30 (B) 7.35 (C) 7.40 (D) 7.45

Last Answer : Answer: Option C

A water main 1 m in diameter contains a fluid having pressure 1 N/mm2. If the maximum permissible tensile stress in the metal is 20 N/mm2, th thickness of the metal required would be a) 2 cm b) 2.5cm c) 1 cm d) 0.5 cm

Description : A water main 1 m in diameter contains a fluid having pressure 1 N/mm2. If the maximum permissible tensile stress in the metal is 20 N/mm2, th thickness of the metal required would be a) 2 cm b) 2.5cm c) 1 cm d) 0.5 cm

Last Answer : b) 2.5cm

Two shafts will have equal strength, if (a) diameter of both the shafts is same (b) angle of twist of both the shafts is same (c) material of both the shafts is same (d) twisting moment of both the shafts is same

Description : Two shafts will have equal strength, if (a) diameter of both the shafts is same (b) angle of twist of both the shafts is same (c) material of both the shafts is same (d) twisting moment of both the shafts is same

Last Answer : d) twisting moment of both the shafts is same

While designing shaft on the basis of torsional rigidity, angle of twist is given by? a) Ml/Gd4 b) 584Ml/Gd4 c) 292 Ml/Gd4 d) None of the mentioned

Description : While designing shaft on the basis of torsional rigidity, angle of twist is given by? a) Ml/Gd4 b) 584Ml/Gd4 c) 292 Ml/Gd4 d) None of the mentioned

Last Answer : b) 584Ml/Gd4