A torque of magnitude T = 900 N.m is applied at D as shown. Knowing that the diameter of shaft AB is 60 mm and that the diameter of shaft CD is 45 mm, determine the maximum shearing stress in (a) shaft AB, (b) shaft CD.

Q: Two solid steel shafts are connected by the gears shown. Knowing that for each shaft G= 11.2 * 106…

A: Given Data: The modulus of rigidity of the shaft is: G = 11.2 X 106 The allowable shear stress is:…

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

A: Given T = TAB = 100 N-m For gear B and C Force on gear circles

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

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

A: The stress which is induced in a shaft due to torque or twisting moment parallel to the…

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,…

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Q: 3. For the state of plane stress shown, determine the largest value of oy for which the maximum…

A: Given Data⇒ Maximum in-plane shearing stressζmax=75 MPa Problem statement⇒ Problem says determine…

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: 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: Determine the torque T that causes a maximum shearing stress of 70 MPa in the steel cylindrical…

A: Given: The radius of the shaft is R=18 mm. The maximum shearing stress is τ=70 MPa.

Q: Knowing that d = 1.2 in., determine the torque T that causes a maxi-mum shearing stress of 7.5 ksi…

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

A:

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: The solid rod AB has a diameter dAB = 60 mm. The pipe CD has an outer diameter of 90 mm and a wall…

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

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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: For the element shown, determine the range of values of τxy for which the maximum in-plane shearing…

A: Given data: Maximum shear stress, τmax = 150 MPa. Stress in the x-direction, σx = -20 MPa. Stress…

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

A:

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: The design specifications of a 2-m-long solid circular transmission shaft require that the angle of…

A: Given, Length of the shaft (L) = 2 m The angle of twist (θ) = 3° = 0.052 radians Torque (T) = 9 kN.m…

Q: 3.7 The torques shown are exerted on pulleys A, B, and C. Knowing that both shafts are solid,…

A: Consider shaft AB Let TAB be the torque in the shaft AB if a section is passed through shaft AB…

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: 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: Knowing that the internal diameter of the hollow shaft shown is d = 0.9 in., determine the maximum…

A: Given data  outer dia of hollow shaft (do) = 1.6 in. inner dia of hollow shaft (di) = 0.9 in. torque…

Q: The two solid shafts and gears shown are used to transmit 12 kW from the motor at A operating at a…

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

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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…

A:

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

A:

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

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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: 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: 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: Knowing that the internal diameter = 12mm and the torque magnitude = 1.35kn.m. Determine the maximum…

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

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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.