The two solid shafts and gears shown are used to transmit 12 kW from the motor at A operating at a speed of 1260 rpm, to a machine tool at D. Knowing that the maximum allowable shearing stress is 60MPA. And the angle of twist of the shaft CD does not exceed 1.5 degree. The value of G=77 GPa Determine the required diameter (a) of shaft AB, (b) of shaft CD. 125 75 mm

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: Question 4: For the gear train shown, the diameters of the three solid shafts are: DAB = 20mm, Dcp =…

A: Given,

Q: Q5: (a) Determine the torque that can be applied to a solid shaft of 80-mm diameter without…

A: Diameter = 80 mm Shear stress = 120 MPa

Q: shearing stress on the shaft AB knowing that the bearing A is frictionless. What is the angle of…

A:

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: The design of the gear-and-shaft system shown requires that steel shafts of the same diameter be…

A:

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

A:

Q: Two solid steel shafts, each 30 mm in diameter, are connected by the gears shown in the figure.…

A:

Q: Two solid shafts are connected by the gears shown. Knowing thatG = 77 GPa for each shaft, determine…

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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:-diameter, d1=70mm & diameter, d2=53mmLength, L1=1.8m=1800mm &…

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: Q5: (a) Determine the torque that can be applied to a solid shaft of 80-mm diameter without…

A: Given Diameter of the shaft = 80 mm = 0.08m Allowable shear stress = 120 MPa To find Torque

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: PROBLEM 3.23 240 mm Two solid shafts are connected by the gears shown. A torque of magnitude T = 900…

A: Shear stress is stress which produces due to pressure or forces which does not exceed the elastic…

Q: The composite shaft shown consists of a 0.2-in.-thick brass jacket (G = 5.6 × 10° psi) bonded to a…

A: Given : A composite  shaft consist of 2 in thick brass jacket. Diameter of steel core is ,d=1.2 in.…

Q: Shaft BC is hollow with inner and outer diameters of 90 mm and 120 mm, respectively. Shafts AB and…

A:

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

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Q: Knowing that an 8-mm-diameter hole has been drilled through each of the shafts AB, BC, and CD,…

A:

Q: Two solid steel shafts are connected by the gears shown. Knowing that for each shaft G = 75 GPa and…

A: Given dataG=75 GPaT=55 mpaTo find1) T2) ∅A

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 allowable shearing stress is 50 MPa in the brass rod AB and 25 MPa in the aluminum rod BC.…

A: Given that, Magnitude of torque, T=1250 N-m,Allowable shear stress, τAB=50 MPa,τBC=25 MPa, Since…

Q: The aluminum rod AB (G = 27 GPa) is bonded to the brass rod BD (G= 39 GPa). Knowing that portion CD…

A: Answer: (a) The angle of twist at A: 6.02064° (b) The maximum shear stress in shaft CD: 70.52 MPa…

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

A: Given, Torque at F = TF  Allowable Shearing Stress in Steel Shaft ? = 12 kpi Diameter of FH dFH =…

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

A:

Q: The solid shaft AE rotates at 500 rpm and transmits 45 kW from the motor M to the machine tools…

A:

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

A:

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

A:

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

A:

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…

A:

Q: For the bronze segment AB, the maximum shearing stress is limited to 8000 psi and for the steel…

A:

Q: 3.48 The design of the gear-and-shaft system shown requires that steel shafts of the same diameter…

A: Given:   τmax=60 MPaϕ≤1.5°G=77 GPaT=1000 N.mrB=100 mrC=40 mm

Q: Two solid shafts are connected by the gears shown. A torque of magnitude T = 900 N m is applied to…

A: A couple or a moment that tends to bend or twist a shaft on its application is called the twisting…

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 torque of magnitude T = 900 N.m is applied at D as shown. Knowing that the diameter of shaft AB is…

A:

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: Knowing that an 8-mm-diameter hole has been drilled through each of the shafts AB, BC, and CD,…

A:

Q: a) Determine the torque that can be applied to a solid shaft of 20-mm diameter without exceeding an…

A: Torque for solid shaft can be determined as

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

A:

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

A:

Q: A torque of 3 kN.m is applied to the steel shaft (G = 75 GPa). Determine the voltage of maximum…

A:

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

A:

Thermal Properties of Materials

In mechanical engineering, the thermal property is represented as the physical quantity that is relevant to the application of heat. The thermal properties are evaluated by variations in any specific material due to low heat or high heat. The quantities that influence the thermal property of the materials are mass, density, temperature, and many others.