Consider a hollow steel shaft with a 130mm outside diameter and a 70mm inside diameter. What is the maximum torque that this shaft can transmit if the shear yield stress is 1.4 x 108Pa and the behavior is elastic, perfectly plastic?

Q: propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable…

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Q: The engine of a ship develops 440 kW and transmits the power by a horizontal propeller shaft which…

A: INTRODUCTION : When the circular shaft either hollow or solid is used to the power transmission, the…

Q: A hollow steel shaft transmits 600 kW at 500 r.p.m. The maximum shear stress is 62.4 MPa. Find the…

A: Find the outside and inside diameter .

Q: A hollow aluminum propeller shaft, 30 ft. Ilong with 15 in. outer diameter and an inner diameter…

A: (a) The maximum shear stress, τmax = 3.8 ksi. (b) The angle of twist of the shaft, θmax = 0.052…

Q: A hollow steel shaft 2304mm long is to be designed to transmit a torque of 28350 kJ. The shear…

A: Given data: steel shaft long (l)=2304mm transmit torque(T)=28350KJ Shear modulus of…

Q: A solid circular shaft transmits 75 kW power at 200 rpm. Calculate the diameter of the shaft and the…

A: Given: Power transmitted by the shaft P=75kWSpeed of the shaft N=200rpmModulus of rigidity…

Q: Hollow and solid shafts have the same material, length and the same outer radius as shown. The inner…

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Q: A solid circular shaft is subjected to combined bending and torsion and and made of steel having…

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Q: 8) A steel shaft transmits 30kW @ 1,400rpm. Considering allowable shearing stress based on pure…

A: Given:P=30 kWN=1400 rpmζ=35 MPaG=83 GPa

Q: A hollow shaft with outside diameter of 135 mm and wall thickness of 8 mm transmits 182 kW at 400…

A: L=5m 1psi= 6894.76 N/m2

Q: A propeller shaft is required to transmit 45 kW power at 500 r.p.m. It is a hollow shaft, having…

A: Given data: -  The power transmitted by the shaft is P = 45 kW. The speed of the shaft is N = 500…

Q: A stepped shaft ABCD consisting of solid circular segments is subjected to three torques, as shown…

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Q: An automotive shaft manufacturing facility wants to reduce the material cost of the shaft. Propose a…

A: When we want the shaft to carry shear stress on the outermost edge, the most preferred one is hollow…

Q: A solid shaft in a rolling mill transmits 30 hp at 100 rpm. Find the diameter in mm of the shaft so…

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Q: A stepped shaft ABCO consisting of solid circular segments is sublected to three torques, as shown…

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Q: Solid steel wrench (shown in Fig. 4) has a radius of 0.4 cm. and a length of 0.2 m. What is the…

A: Given The radius of steel wrench is r=0.4 cm. The length of steel wrench is l=0.200 m. The…

Q: A mild steel shaft of 40 mm diameter is subjected to a bending moment of 115 N-m and torque, T. If…

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Q: A solid circular shaft will be 2 m long, and its diameter is to be determined. It is made of steel…

A: When a solid shaft having diameter 'd' and shear modulus 'G' is subjected to pure torsional moment…

Q: A stepped steel shaft shown below is subjecte to 10 N-m torque. If the moduius of rigidity 80 GPa,…

A: Given:Torque, T=10 N-mG=80 GPad1=50 mmd2=25 mmL=100 mm

Q: A shaft running at 700 r.p.m transmits 18 kW. Assuming allowable shear stress in shaft is 70 N/mm²,…

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Q: A shaft capable of transmitting 50 kW of power will spin at 100 revolutions per minute. The maximum…

A: Given   Power, P = 50 kW Speed, N =10 0 rpm Length, l = 3 m     Angle = 1.5 degree Find   Diameter,…

Q: pplied torque of 1.5 Nm is found to produce an angular twist of 0.4°, measured on a length of 0.2 m…

A: Given data,hollow shaftD=50mm=0.05m so, R=0.025d=30mm=0.03mTa=1.5 Nmθ=0.4°⇒0.4×π180=0.006981…

Q: When subject to an applied torque,a circular shaft of length 600mm twists through an angle of 2°,if…

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Q: A hollow circular shaft has an external diameter of 0.120 m and the internal diameter а) is…

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Q: Consider the case of shafts when subjected to axial loads in addition to combined torsional and…

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Q: A hollow shaft and a solid shaft constructed of the same material have the same length and the same…

A: Solution-2 The general relation between torque, shear stress, angle of twist of a shaft under…

Q: The rotation or twist in degrees of a shaft, 800 mm long subjected to a torque of 80 N-m, 20 mm in…

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Q: Find the diameter of the shaft (based on torsional stiffness) for which the angle of twist is not to…

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Q: A motor drives a shaft at 56 Hz and delivers 11 kW of power (see figure). 56 Hz 11 kW (a) If the…

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Q: A hollow shaft and a solid shaft constructed of the same material have the same length and the same…

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Q: subjected to pure tor s the inner radius n. strain in the tube is m

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Q: Q2 /A hollow steel shaft transmits 200 kw of power at 150 rpm .The total angle of twist in length of…

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Q: A hollow shaft with outside diameter of 165 mm and wall thickness of 8 mm transmits 192 kW at 400…

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Q: A motor drives a shaft at 12 Hz and delivers 20 kW of power as shown in Fig.4. (a) If the shaft has…

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Q: A circular shaft having diameters D and d and a groove of radius r (with M = 0 and P = 0) is made of…

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Q: A solid circular shaft to transmit,80kw power at 200rpm.calculate the shaft diameter and strain…

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Q: A solid shaft is to transmit 250 kW at 180 rpm. The torsional shear stress is not to exceed 110 MPa.…

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Q: Prob. # 3] The torsional deformation of a steel shaft is 1° in a length of 2 ft when the shearing…

A: Given data,  L= 2ft= 24in.  θ= 1°= 0.0174533 rad  S= 10000 psi  G= 12*10⁶ psi

Q: A 7/8 in. diameter shaft made out of ductile material is used to transmit power from motor. The…

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Q: Design a suitable diameter for a circular shaft required to transmit 90 kW at 180 r.p.m. The shear…

A: GIVEN DATA- MAXIMUM SHEAR STRESS = 70MPa POWER P=90KW SPEED N=180 r.p.m. MAXIMUM TORQUE = 140% OF…

Q: Consider a hollow steel shaft with a 130 mm outside diameter and a 70 mm inside diameter. What is…

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Q: A torque T applied to a 1.2 m long and 50 mm diameter solid shaft increases until the shaft is fully…

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Q: A circular shaft measuring 3 meters in length with an inner and outer radius of 30 mm and 60 mm…

A: Given data:  Length of shaft, L =3 m Inner radius, r1=30 mm = 0.03 m Inner Diameter = 0.06 m Outer…

Q: A solid round aluminum shaft has a maximum allowable shear stress of 80 MPa. The shaft is 10 cm in…

A: Given   Diameter, d = 10 cm      Length, L = 1 m                  G = 28 MPa Shear stress = 80 MPa…

Q: How many kN.m torque should the shaft carry? b) Write down the minimum safe shaft radius in meters…

A: Given: Circular shaft L= 3 m P=12300 kW N=220 rpm shear yield stress= 190 MPa Shear modulus=80 GPa…

Q: Q6: The engine of a ship develops 440 kW and transmits the power by a horizontal propeller shaft…

A: The engine of a ship develops 440 kW and transmits the power by a horizontal propeller shaft which…

Q: Maximum shear stress developed on the surface of a solid circular shaft under pure torsion is 240…

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Q: A solid circular shaft is subjected to a bending moment of 2800 Nm and a torque of 10,000 Nm. The…

A: Given Bending moment = 3000 Nm Torque = 100000 Nm Material 45C8 Maximum tensile stress = 700 MPa…

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.