A shaft is made from two segments: AB is pure steel and BCD is pure brass (note: not core-shell). Knowing that the portion CD of the brass rod is hollow and has an inner diameter of 40 mm, determine the maximum shear stress for the entire shaft

Q: The stepped solid steel shaft ABC is attached to rigid supports at each end. Determine the diameter…

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Q: Under normal operating conditions, the electric motor exerts a 12-kip·in. torque at E. Knowing that…

A: Understand that the net torque on a cross-section is calculated by the sum of torques on any one…

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

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Q: A torque of magnitude T = 12 kN-m is applied to the end of a tank containing compressed air under a…

A: GivenT=12kN.mP=8MPat=12mmI.D=Di=180mmri=90mm=0.09mro=90+12=102 mm=0.102mSolutionPolar moment of…

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

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Q: 5. A shaft is made of a steel alloy having an allowable shear stress of Tallow = 12 ksi. If the…

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Q: remove 3 kW, 4 kW, and 5 kW respectively, determine the maximum shear stress developed in the shaft…

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Q: The solid shaft is subjected to the distributed and concentrated torsional loadings shown. Determine…

A: Draw the free body diagram of the loaded shaft and find the reaction torque at C. Take the clock…

Q: 40 mm 100 Fig. 22 A torque of magnitudeT 1000 N1m is applied at D as shown Knowing that the diameter…

A: Given:TCD=1000 N.mdCD=42 mmdAB=56 mmTCD=F*rF=TCDrCD =TCD42+40=1000*100082F=12195.12 NThis force will…

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: The solid cylinders AB and BC are bonded together at B and are attached to fixed supports at A and…

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Q: A flanged bolt coupling consists of ten steel ½-in.-diameter bolts spaced evenly around a bolt…

A: Given data: d=0.5 inDc=14 inτ=6000 psin=10 Need to determine the torque capacity of the coupling.

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

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Q: The motor delivers 50 hp while turning at a constant rate of 1350 rpm at A. Using the belt and…

A: Draw the schematic diagram for the above problem.

Q: A rectangular key was used in a pulley connected to a line-shaft with a power of 125 kW at a speed…

A: Power, P= 125 kW= 125000 W Speed, N= 900 rpm= 900/60 rps Shear stress of the shaft, τshaft= 40 N/mm2…

Q: The steel propeller shaft ABCD carries the axial loads as shown. Knowing the diameters and the…

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Q: A 1.50-in.-diameter brass [G = 5800 ksi] rod is used as a shaft. Determine the thickness of hollow…

A: d=1.50 in Gbrass=5800 ksi Gsteel=11200 ksi τmax=7200 psi τmin=9600 psi

Q: Determine the largest allowable diameter of a 10-ft-long steel rod (G= 11.2 × 106 psi) if the rod is…

A: Given: The length of the steel rod is L=10 ft. The shearing stress in the steel rod is τ=12 ksi. The…

Q: The bell crank shown is in equilibrium determine the required diameter of the connecting rod AB if…

A: Force acting along the horizontal direction is, Dx=110cos60+P=110cos60+70=125 kN Forces acting in…

Q: I need the solution for this problem. Under normal operating conditions, the electric motor exerts…

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Q: Hollow steel shaft of 100 mm as internal diameter and 150 mm as external diameter is to be replaced…

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Q: The design specifications for the steel shaft AB require that the shaft acquire a strain energy of…

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Q: A hollow aluminum shaft with an outside diameter of 76 mm and a wall thickness of 5 mm has an…

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Q: 2. Shaft BC is hollow with inner and outer diameters of 90 mm and 120 mm, respectively. Shafts AB…

A: 1. Problem statement: To find the minimum and maximum shearing strength in the shaft BC and…

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

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Q: Determine the maximum shearing stress (MPa) in a solid shaft of 61-mm diameter as it transmits 92 kW…

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Q: The ship at A has just started to drill for oil on the ocean floor at a depth of 5000 ft. Knowing…

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Q: A solid steel shaft AB, shown in Fig. is to be used to transmit 5 hp fromthe motor M to which it is…

A: Power = 5 hp            = 2750 ft.lb/s speed        N=175 rpmω=2πN60=2π×17560=18.33 rads

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

A: Given data as per question Shear stress in solid spindle =12 ksiShearing stress of sleeve=5.8…

Q: 7o solid steel shafts are connected to f a disk B. Knowing the modulus of = d the allowable shear…

A: given:shear stress τ=90MPa

Q: The solid shaft is subjected to the distributed and concentrated torsional loadings shown, where…

A: Solution: Resultant torque acting on the shaft, -740+4000×0.5-400=860 N-m From the torque equation,…

Q: 1. (a) Determine the maximum shearing stress caused by a 80- kip x in. torque T in the…

A: Given Data  Torque = 80 kip. in Diameter, D=3 in Length of the steel shaft, L=4ft

Q: 3. The solid spindle AB is made of a steel with an allowable shearing stress of 12 ksi, and sleeve…

A: a) Calculation for sleeve CD: (C2)Radius=12*3 inch=1.5 inch C1=C2-t=1.5-0.25=1.25 inch

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: 1. A drive shaft to the blades of a helicopter transmits 800 kW at 200 rev/min. Neglecting…

A: Given, Power - 800kW N-200rpm L-2m or 2000mm C-26900MPa, Do=2Di

Q: For the given solid shaft subjected to a 2 kN m torque, determine the shear stress at point X…

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Q: Determine the minimal value of the width (a in) of the square-shaped cross section of the drill bit…

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Q: 35 mm 30 mm Steel 2 m Bronze The composite shaft shown is twisted by applying a torque T at end A.…

A: Here, considering the maximum shear stress of the composite shaft is 100 Mpa.

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

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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: A gear motor can develop 2010 W when it turns at 231 RPM. If the allowable shear stress for the…

A: Given:P=2010 WN=231 rpmζallow=88.3 MPaP=2πNT602010=2π*231*T60T=2010*602*π*231T=83.09 N.m

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

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Q: 2 m long and (52) mm diameter aluminum shaft is to be replaced by a hollow shaft of the same length…

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Q: 03-A- In the gear-and-shaft system shown, the shaft diameters are dAB- nm. Knowing that G=77 GPa.…

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Q: The composite shaft shown is to be twisted by applying a torque T at end A. Knowing that the modulus…

A: Given data: Composite shaft is made of Steel core and Aluminum Jacket. Diameter of steel core,…

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: etermine the maximum shearing stress (MPa) in a solid shaft of 60-mm diameter as it transmits 91 kW…

A: Given:Diameter, d=60mmPower, P=91KWspeed , N=175rpm

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.