For a solid or a hollow shaft subject to a twisting moment T, the torsional shearing stress t at a  distance r from the centre will be
(a) t = Tr/J
(b) t = Tr
(c) t = TJ/r
(d) none of these

1 Answer

Answer :

(a) t = Tr/J

Related questions

Description : Torsional rigidity of a shaft is defined as a. G/J b. GJ c. TJ d. T/J

Last Answer : a. G/J

Description : 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

Last Answer : d. Is ability to resist maximum twisting moment

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

Last Answer : (c) outer surface of shaft

Description : Maximum shear stress in a hollow shaft subjected to a torsional moment is at the a. Middle of thickness. b. At the inner surface of the shaft. c. At the outer surface of the shaft. d. At the middle surface of the shaft.

Last Answer : c. At the outer surface of the shaft.

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

Description : The product of the tangential force acting on the shaft and radius of shaft known as (a) Torsional rigidity (b) Flexural rigidity (c) Bending moment (d) Twisting moment

Last Answer : (d) Twisting moment

Description : If in a bar after twisting moment T has been applied, a line on surface is moved by an angle g then shearing moment will be (a) t/g (b) g (c) g/t (d) none of these

Last Answer : (b) g

Description : When a shaft is subjected to a twisting moment, every cross-section of the shaft will be under (a) Tensile stress (b) Compressive stress (c) Shear stress (d) All of these

Last Answer : c) Shear stress

Description : The relationship among twisting moment(T) acting on a rotating shaft, power in watt(W), and angular velocity in radian per second(w) will be (a) T = W/w (b) W = Tw (c) W = T/w (d) none of these

Last Answer : (b) W = Tw

Description : When the shaft is subjected to pure torsional moment, the torsional stress is given by? a) None of the listed b) 32M/πdᵌ c) 16M/πdᵌ d) 8M/πdᵌ

Last Answer : c) 16M/πdᵌ

Description : .In case of a hollow shaft the average torsional energy/unit volume is given by a. (τ2/4C) x (D2+d2/D2) b. (τ2/C) x (D2+d2/D2) c. (τ2/4C) x (D+d/D2) d. (τ/C) x (D2+d2/D2)

Last Answer : a. (τ2/4C) x (D2+d2/D2)

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

Last Answer : b. In a solid shaft maximum shear stress occurs at center

Description : The relation governing the torsional torque in circular shafts is a. T/r=τ/l=Gθ/J b. T/J=τ/r=Gθ/l c. T/J=τ/l=Gθ/r d. T/l=τ/r=Gθ/J

Last Answer : b. T/J=τ/r=Gθ/l

Description : At fully plastic twisting moment (a) only fibres at surface are stressed to yield point in shear (b) fibres at centre are stressed to yield point in shear (c) all fibres are stressed to yield point in shear (d) none of these

Last Answer : (c) all fibres are stressed to yield point in shear

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

Description : 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

Last Answer : c. Two opposite turning moments are applied to the shaft

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

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

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 

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.

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

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

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)

Last Answer : (b) π/16(D4-d4)

Description : Solid shaft is ----------than hollow shaft of same weight. a) cheaper b) costlier c) not costlier d) not cheaper

Last Answer : b) costlier

Description : The strength of hollow shaft is more than the strength of solid shaft of ---------weight. a) same b) different c) equal d) not equa

Last Answer : a) same

Description : The stiffness of solid shaft is---------- than the stiffness of hollow shaft with same weight. a) less b) more c) equal d) not equal

Last Answer : b) more

Description : The strain energy will be higher in which shaft under the same torque (a) Solid shaft (b) Hollow shaft (c) Same in Solid as well as hollow shaft (d) None

Last Answer : (b) Hollow shaft

Description : From strength point of view, whether hollow or solid shaft will be preferable (a) Solid shaft (b) Hollow shaft (c) Both solid as well as hollow shaft (d) None

Last Answer : b) Hollow shaft

Description : For the same material, length and given torque, a hollow shaft weighs……………… a solid shaft. (a) Less than (b) More than (c) Equal to (d) None of these

Last Answer : (a) Less than

Description : The strength of a hollow shaft is ……… for the same length, material and weight of a solid shaft. (a) More (b) Less (c) Equal (d) None of these

Last Answer : (b) Less

Description : For same length, same material, same length a. Weight of solid shaft is less than weight of hollow shaft b. Weight of solid shaft is more than weight of hollow shaft c. Weight of hollow and solid shafts will be same d. Sometime more sometime less

Last Answer : b. Weight of solid shaft is more than weight of hollow shaft

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

Last Answer : b. Solid shaft is always weaker than a hollow shaft and strength ratio will depend upon Do/Di of hollow shaft

Description : The strength of a hollow shaft for the same length, material and weight is ---------- a solid shaft. a. less than. b. more than. c. equal to. d. not equal to.

Last Answer : b. more than.

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

Description : A solid shaft of same cross sectional area and of same material as that of a hollow shaft can resist a. Less torque. b. More torque. c. Equal torque. d. Unequal torque.

Last Answer : a. Less torque.

Description : The ratio of maximum bending stress to maximum shear stress on the cross section when a shaft is simultaneously subjected to a torque T and bending moment M, a. T/M b. M/T c. 2T/M d. 2M/T

Last Answer : d. 2M/T

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

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

Description : Torsional rigidity of a shaft is given by a. Gl/θ b. Tθ c. Tl/θ d. T/l

Last Answer : c. Tl/θ

Description : If a shaft is simultaneously subjected to a toque T and a bending moment M, the ratio of maximum bending stress and maximum shearing stress is (A) M/T (B) T/M (C) 2M/T (D) 2T/M

Last Answer : (C) 2M/T

Description : It is a secondary shaft used to counter the direction of main shaft. 81. Shafts are subjected to ______ forces. a) Compressive b) Tensile c) Shear d) twisting

Last Answer : b) Tensile

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

Description : If a circular shaft is welded to the plate by means of circumferential fillet, then the shaft is subjected to torsional moment M. If throat of weld is t, then torsional shear stress is given by a) M/2πtr2 b) M/πtr2 c) M/4πtr2 d) None of the listed

Last Answer : a) M/2πtr2

Description : The polar moment of inertia of a solid circular shaft of diameter (d) is (a)πd2/16 (b) πd3/32 (c) πd4/32 (d) πd4/64

Last Answer : (c) πd4/32

Description : 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

Last Answer : a. is zero

Description : The shear stress varies from centre to the surface of the shaft with (a) Uniform rate (b) Varying rate (c) Remains same (d) None of these

Last Answer : (a) Uniform rate

Description : Magnitude of shear stress induced in a shaft due to applied torque varies from a. Maximum at centre to zero at circumference. b. Maximum at centre to minimum (not-zero) at circumference. c. Zero at centre to maximum at circumference. d. Minimum (not zero) at centre to maximum at circumference.

Last Answer : c. Zero at centre to maximum at circumference.

Description : In shafts with keyways the allowable stresses are usually ------------ proportional to the twisting moment. a.25% b. 50% c. 75% d. 95%

Last Answer : c. 75%

Description : Which of the following loading is considered for the design of axles ? (a) Bending moment only (b) Twisting moment only (c) Combined bending moment and torsion (d) Combined action of bending moment, twisting moment and axial thrust

Last Answer : (a) Bending moment only

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