he design of a machine element calls for a 40-mm-outer diameter shaft to transmit 45 kW. (a) If the speed of rotation is 720 RPM, determine the maximum shearing stress in shaft a. (b) If the speed of rotation can be increased 50 % to 1080 RPM, determine the largest inner diameter of shaft b for w/c the maximum shearing stress will be the s

Q: A solid shaft 100 mm. in diameter is to be replaced with a hollow shaft equally strong and made of…

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Q: A hollow steel (G = 12,000 ksi) shaft has diameters of 6 in. and 4 in. and an allowable shearing…

A: Given data, Modulus of rigidity of the steel shaft, G = 12000 ksi G = 12×106 psi Outer diameter of…

Q: A solid shaft having a diameter of 100mm has an allowable shearing stress of 80 MPa. Determine the…

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Q: A single solid circular shaft 400 mm diameter running at 200 RPM, is to be replaced by two hollow…

A: Given Data: The diameter of the solid circular shaft is, d=400 mm. The speed of the solid circular…

Q: A steel shaft is to be manufactured either as a solid circular or as circular tube. The shaft is…

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Q: A hollow circular shaft with the ratio of internal and external diameters of 0.6 is required to…

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Q: 3. A 220-mm-diameter steel shaft have a maximum shearing stress of 12 GPa. Determine the applied…

A: Write the formula for shear stress in the shaft under torsion. τ=16Tπd3 Here, τ is the shear stress…

Q: Q: For the aluminum shaft shown (G 27 GPa), determine (a) the torque T that causes an angle of twist…

A: Given: G=27 GPad0=18 mmdi=12 mml=1.25 mθ=4°

Q: A torque T = 1500 N – m is applied to the hollow shaft shown that has a uniform 10 mm wall…

A: Given data:- torque = 1500 N-m thickness = 10 mm length = 2 m shear modulus = 65 Gpa. find the shear…

Q: 1) A stepped steel shaft consists of a hollow shaft 2.5 m long with an outside diameter of 110 mm…

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Q: A hollow steel tube has an outside diameter of 224 mm and inside of 201 mm. Which of the following…

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Q: 200 HP is delivered by a solid circular shaft at 1000 rpm rotational speed. If a hollow shaft is…

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Q: A solid 38 mm diameter shaft is rotating at a speed of 510 rpm with a maximum shear stress of 78…

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Q: A solid steel shaft will not twist through more than 3 degrees in a 6-m length when subjected to a…

A: Given data: The angle of twist, θ=3°. The length of shaft, L=6 m. The applied torque, T=12 kN·m.…

Q: 3.9 The torques shown are exerted on pulleys A, B, and C. The diameter of shaft AB is 1.3 in. and…

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Q: G+ Figure 5 (b) The diameters of shaft AB and CD in Figure 5 are 50 mm and 75 mm, respectively. The…

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Q: Q2: A solid steel shaft A of 60 mm diameter rotates at 300 rev/min. Find the greatest power that…

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Q: Consider a solid shaft of 18-mm diameter. Determine the maximum shearing stress in the shaft as it…

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Q: 2.0 in. solid shaft transmits power at 120 rpm. If the allowable shearing stress is 12ksi. (a)…

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Q: L1=1.8 L2=.9 d1=70 d2=53 Compound shaft ACB is fixed at A and consisting of two solid circular…

A: Given data:- The length L1 is L1 = 1.8 m. The length L2 is L2 = 0.9 m. The diameter D1 is D1 = 70…

Q: Determine Tmax for a 40-mm diameter shaft if the allowable shearing stress is equivalent to 80…

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Q: A 2-m long hollow steel shaft (G = 75 GPa) has an outside diameter of 75 mm and an inside diameter…

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Q: Q2: A solid steel shaft A of 60 mm diameter rotates at 300 rev/min. Find the greatest power that can…

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Q: The allowable shearing stress is 15 ksi in the steel rod AB and 8 ksi in the brass rod BC. A torque…

A: Given data: τBC=8 ksiT=13 kip.in Need to determine the required diameter of rod BC.

Q: To Tc B A If TB=3T and TC=1T, determine the maximum value of T considering that the maximum…

A: Given data: -  The value of torque at C is TC = 1T. The value of torque at B is TB = 3T. The…

Q: A hollow steel tube has an outside diameter of 227 mm and inside of 208 mm. Which of the following…

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Q: 1) What is the minimum diameter of a solid steel shaft that will not twist through more han 3º in a…

A: Given that ,  Length l=6 m Torqueτ=14kNmG=83GPaTwist angle θ=3°

Q: The design of a machine element calls for a 40-mm-outer-diameter shaft to transmit 41 kW.   NOTE:…

A: For shaft a, Given data is d= 40 mm  N= 720 rpm  P= 41 KW

Q: A hollow cylindrical shaft has outer diameter of 115 mm and inside diameter of 75 mm. Determine the…

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Q: A steel marine propeller shaft 7 inches in diameter and 18 ft long is used to transmit 9,138 hp at…

A: Given data,  d= 7 in  L= 18 ft = 216 in  G= 12*10⁶ psi  P= 9138 HP  N= 189 rpm

Q: The design of a machine element calls for a 40-mm-outer-diameter shaft to transmit 50 kW. If the…

A: As there are two shaft shown in figure but for figure b , d2 is not given so I have considered…

Q: A solid shaft   2 m.  long   is stressed   60 MPa   when transmitted a power  of 50 kW at   2 rev /…

A: Given: The length of solid shaft, L = 2 m The shear stress in shaft, τ = 60 MPa The transmitted…

Q: Please check attach file

A: Given Data The solid shaft diameter d=240mm The outer diameter of hollow shaft=d0=240mm Allowable…

Q: Problem 50% A solid shaft 100 mm. in diameter is to be replaced with a hollow shaft equally strong…

A: Since it is not mentioned in the question that which of the part is to be done first. Thus going…

Q: determine the bolt diameter required in mm. (b) If the shaft is made of the same material as the…

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Q: A solid circular shaft of diameter 220 mm is to be replaced by a hollow shaft in which the ratio of…

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Q: 1. A solid aluminum shaft 4 m long that has a diameter of 120 mm is subjected to a torque of…

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Q: (Problem 3.67 from the text book) Determine the maximum shearing stress in a solid shaft of 18-mm…

A: Given data: d=18 mmP=3.4 kW Need to determine the shear stress in the shaft.

Q: A solid circular shaft has a uniform diameter of 2" and is 10 ft long. At its midpoint, 65hp is…

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Q: determine the bolt diameter required in mm. (b) If the shaft is made of the same material as the…

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Q: steel shaft is to be manufactured either as a solid circular or as circular tube. The shaft is…

A: → Given Data :       T = 1200 N.m       z = 40 mPa      Q = 0.75  / m      G = 78 GPaa) For Solid…

Q: The solid shaft shown is formed of a brass for which the allowable shearing stress is 55 MPa.…

A: Given- Allowable shearing stress τallow=55 MPa TC = 500 N.m TB = 1200 N.m Length of section AB (LAB…

Q: A hollow steel (G = 12,000 ksi) shaft has diameters of 6 in. and 4 in. and an allowable shearing…

A: This question is based on hollow steel.  As we know the torsional equation,  τr=TJ here, r is the…

Q: 6. The steel shaft shown rotates at 3 rev/sec with 30 kW removed at A, 15 kW taken off at B, and 45…

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Q: a) A solid alloy shaft 5cm diameter is to be coupled in series with a hollow steel shaft of the same…

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Q: Determine the torque T that causes a maximum shearing stress of 74 MPa in the steel cylindrical…

A: Given data,  r= 18 mm  So d= 36 mm  s= shear stress =74 MPa=74 N/mm²

Q: A flat key is to be designed for 100 mm diameter shaft which will transmit 200kw at 300 rpm . If the…

A: Given: τallow=300 MPaP=200kWN=300 rpmD=100 mmwkey=10 mm

Q: 3.27 A torque of magnitude T = 100 N• m is applied to shaft AB of the gear train shown. Knowing that…

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Q: A torque of 700 lb-ft is to be carried by a flanged bolt coupling that consists of eight ½-in.…

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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.