Shaft CD is made from a 66-mm-diameter rod and is connected to the 48-mm-diameter shaft AB as shown. Considering only stresses due to twisting and knowing that the allowable shearing stress is 60 MPa for each shaft, determine the largest torque T that can be applied.

Q: a) Determine the torque that can be applied to a solid shaft of 80-mm diameter without exceeding an…

A: Given data,  a  solid shaft d=80mm                            z=120 MPa.        So, τ=Polar…

Q: 60 mm 40 mm T.

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Q: The torques shown are exerted on pulleys A and B. Consider TA = 270 N·m and TB = 400 N·m. Knowing…

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Q: A flanged bolt coupling consists of eight steel 20-mm bolts spaced evenly around a bolt circle of…

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Q: The solid spindle AB is made of a steel with an allowable shearing stress of 12 ksi, while sleeve CD…

A: (a)   Write the relation to calculate the inner diameter of the sleeve CD using the given diagram.…

Q: A torque of magnitude T 1000 N'm is applied at D as shown below. Knowing that the allowable shearing…

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Q: 3.27 l'or the gear train shown, the diameters of the three solid shafts are: dcp = 25 mm deF = 40 mm…

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Q: The preliminary design of a motor-to-generator connection calls for the use of a large hollow shaft…

A: Given Data: The inner diameter of the shaft is d = 4 in. The outer diameter of the shaft is D = 6…

Q: A torque T5 3 kN·m is applied to the solid bronze cylinder shown. Determine (a) the maximum shearing…

A: Given data :T=3 KN.mL=200 mma) Max. shear stress will occur on surface of shaft .    ζmax=T205…

Q: The torques shown are exerted on pulleys A and B. Knowing that the shafts are solid and made of…

A: Given Data: The Diameter of shaft AB is D1 = 30 mm. The diameter of the shaft BC is D2 = 46 mm. The…

Q: The design specifications of a 1.2-m-long solid transmission shaft require that the angle of twist…

A: Given Data: The length of the shaft is L = 1.2 m. The allowable angle of twist is θ = 4◦. The…

Q: (a) Determine the torque that can be applied to a solid shaft of 40-mm diameter without exceeding an…

A: Let ds =Diameter of solid shaft =40mm As = Area of solid shaft =1256.63mm2 τ =Allowable shear stress…

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: The steel jacket CD has been attached to the 40-mm-diameter steel shaft AE by means of rigid flanges…

A: Given Data: The outer diameter of the jacket is D = 80 mm. The thickness of the jacket is t = 4 mm.…

Q: Two solid shafts are connected by gears as shown and are made of a steel for which the allowable…

A: Given, dBC= 1.6 in dEF= 1.25 in

Q: Under normal operating conditions a motor exerts a torque of magnitude Tp at F. The shafts are made…

A: GivendCDE=24 mmdFGH=20 mmrD=165 mmrG=114 mmτmax=82 Mpa=82×106pa

Q: Under normal operating conditions, the electric motor exerts a torque of 2.4 kN·m on shaft AB.…

A: Given data :TAB = 2.4 kN.m = 2.4 x 106N.mmTAB = (?)  , TBC = (?)  , TCD = (?)

Q: Shaft AB is made of a steel with an allowable shearing stress of 90 MPa and shaft BC is made of an…

A: Given that ;          Allowable shearing stress of steel τAB =90MPa…

Q: cylinders shown.  a) For the 3-in. diameter solid cylinder and loading shown, determine the maximum…

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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: Knowing that the lengths of the shown solid shafts are AB-60mm and BC=80mm, determine the torque TA…

A: Given. TB = 400 Nm θAC=3o G = 77 MPa LAB = 60 mm LBC = 80 mm

Q: The solid spindle AB is made of a steel with an allowable shearing stress of 84 MPa, and sleeve CD…

A: Given Data  Allowable shear stress, T=50 MPa Ans(A)  Consider CD…

Q: Q3: The horizontal shaft AD is attached to a fixed base at D and is subjected to the torques as…

A: To find: The total angle of twist at end A. Given: The modulus of rigidity of the shaft is G=77 GPa.…

Q: Two solid steel shafts are fitted with flanges that are then connected by bolts as shown. The bolts…

A: Torque T = 500 N·m            G = 77.2 GPa From diagram            TA+TB=TTA+TB=500 ×103…

Q: Two solid steel shafts are fitted with flanges that are then connected by bolts as shown. The bolts…

A: T=TAB,LAB=0.6mmc=12d=302=15mmJAB=π2c4=79,481.25mm4φB=TABLABG.JABTAB=G.JABφBLAB=77×109×79481.250.6φB…

Q: 4. The torques shown are exerted on pulleys A, B, and C. Knowing that both shafts are solid,…

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Q: Two solid steel shafts are fitted with flanges that are then connected by bolts as shown. The bolts…

A: Given data ϕ=1.5°=0.0276 radDAB=30 mmDCD=36 mmT=500 N·m

Q: a) Determine the maximum shearing stress caused by a 40-kip·in. torque T in the 3-in.-diameter solid…

A: Given data as per the question Torque applied in the shaft = 40-kip·in The diameter of shaft =3 in…

Q: A torque of magnitude T= 4 kN·m is applied at end A of the compos-ite shaft shown. Knowing that the…

A: Steel core:          c1=12d1=0.027mJ1=π2c41=π2×0.0274=834×10-9 G1J1=834×10-9 ×77.2×109=64.44…

Q: 100 mm mm E The two solid shafts ABC and DEF are connected via gears as shown. Both shafts are made…

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Q: Two solid steel shafts are fitted with flanges which are then connected by fitted bolts so that…

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Q: For the gear train shown, the diameters of the three solid shafts are: dAB = 20 mm, dco = 25 mm, dgf…

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Q: 1. The aluminum shaft shown has a constant diameter, with 1000 N-m applied at gear A, 1200 N-m…

A: Given:TA=1000 N.mTB=-1200 N.mTc=800 N.mTD=-600 N.mζ=25 MPaθ=4°

Q: In the bevel-gear system shown, α = 18.43°. Knowing that the allow-able shearing stress is 8 ksi in…

A: Write the expression of torque ratio,   TbTa=ωaωbTbTa=DaDb   Write the expression of diameter ratio,…

Q: A flange bolt coupling consists of eight 19 mm diameter bolts spaced evenly around a bolt circle 300…

A:

Q: (a) Determine the maximum shearing stress caused by a 4.6-kN • m torque T in the 76-mm-diameter…

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Q: Knowing that the lengths of the shown solid shafts are AB=60mm and BC=80mm, determine the torque Ta…

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Q: The torques shown are exerted on pulleys A, B, and C. Knowing that both shafts are solid, determine…

A: Torque acting in the shaft AB by taking moment about x axis is TAB=3.6 kip·in Torque acting in the…

Q: Q2: Two shafts, each of 7/8 in. diameter, are connected by the gears shown in fig. Knowing that…

A: Given:-              Diameter of shaft d=7/8 in                G=11.2×106Psi…

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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Q: Under normal operating conditions a motor exerts a torque of mag- nitude Tr at F. The shafts are…

A:

Q: A torque of magnitude T= 120 N·m is applied to shaft AB of the gear train shown. Knowing that the…

A: giventorque T=120Nm=120×103Nmmdiameter of gear B,  DB=25mmdiameter of gear C,  DC=60mmdiameter of…

Q: - Steel B Brass

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Q: Question 2: At a time when rotation is perverted at the lower end of each shaft, an 80 N.m torque is…

A: Let us draw the free body diagram of the both gear Let  TAB is the torque in shaft AB and TCD is…

Q: The allowable shearing stress is 15 ksi in the 1.5-in.-diameter steel rod ABand 8 ksi in the…

A: givenallowable shear stress steeel  σs=15ksidiameter of steel rod AB d=1.5inallowable shear stress…

Q: The composite shaft shown consists of a 0.2-in.-thick brass jacket (Gbrass= 5.6 × 106 psi) bonded to…

A: Given Data: The thickness of the brass jacket is, t=0.2 in. The diameter of the steel core is,…

Q: two solid shafts are connected by gears as shown A toque of magnitude t=900N.m applied to shaft AB…

A:

Q: Problem 2 Shaft AB is made of a steel with an allowable shearing stress of 90 MPa and shaft BC is…

A: Given, τAB=90 MPa=90×106 MPaτBC=60 MPa=60×106 MPa dBC=50 mm=0.05 m

Q: Determine the torque capacity of a flange bolt coupling, which consists of nine steel 19-mm diameter…

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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.