A 40-mm diameter hole is drilled 3-m deep into the steel shaft. When the first torque is removed at point B with 6000-N-m and the second torque is applied at point C with 2000-N-m, determine the following: a) The Maximum Shear Stress in the shaft. b) The angle of rotation of the free end of the shaft.

Q: Compound shaft ACB is fixed at A and consisting of two solid circular sections AC & CB, as shown,…

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Q: Q2/ The torques shown, in Fig. 2, are exerted on pulleys A and B. Knowing that the shafts are solid…

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Q: A 40-mm diameter hole is drilled 3-m deep into the steel shaft. When the first torque is removed at…

A: Let shear modulus (G) of steel shaft be 83 GPa. The torque in AB and BC portion is -TAB=6000-2000 =…

Q: 2- Compare the weight of equal lengths of hollow and solid shafts to transmit a torque T for the…

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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: A steel shaft of diameter 60 mm and length 3.5 m is fixed at its ends A and B. If two torques of the…

A: The schematic diagram of the bar is as follows: The free body diagram of the bar is as follows:

Q: A 40-mm diameter hole is drilled 3-m deep into the steel shaft. When the first torque is removed at…

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Q: Find the torsional shear stress on a 2 inch diameter shaft if it is subjected to a torque of 561…

A: Given diameter of shaft = 2 inch. Torque=561in-lb.

Q: 2- For the shaft shown, the shear stress is not to exceed 100 MPa. What is most nearly the largest…

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

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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: Find the smallest diameter bolt that can be used in the clevis shown if P = 800 kN. The shearing…

A: GivenP=800KnShearing strength=400Mpa

Q: A compound steel [G = 80 GPa] shaft consists of a solid 92-mm-diameter segment (1) and a solid…

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

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Q: 75 N.m C 125 N.m 2 m 1m A steel shaft is fixed at A and is subjected to the torques as shown.…

A: Given data: dAB=50 mmdBC=30 mmG=77 GPa Need to determine the torque in segment AB, BC and angle of…

Q: A hollow steel shaft with an outside diameter of 80 mm and a wall thickness of 11 mm is subjected to…

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Q: Calculate the torsional shear stress because of a torque of 88 in-lb in a circular shaft having a…

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Q: ction shown Assu

A: Given:  T = 4730 KNm τ = 125MPat = 10mm

Q: An aluminum shaft of two segments is shown below. Determine the allowable torque if the shear stress…

A: Given Data Diameter of bar AB is : d1=90 mm Diameter of bar BC is : d2=60 mm Allowable stress is :…

Q: A solid 14 mm diameter steel shaft is fixed to a wall at E. Torques are applied to gears A, C and D…

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Q: If the chaft shown in Figure is made of one material and is subjected to torques TI-25 kN.n and…

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Q: 2. A tube is made of aluminum ( G = 24 GPa ) and has a rectangular cross section as shown in figure.…

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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: Determine the allowable torque a hollow steel shaft can transmit if the outside diameter is 4…

A: Torque for hollow shaft can be determined as Note – take outer diameter as allowable stress is given…

Q: For the solid circular rods exposed to the shown torques, determine the segment that experiences…

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

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Q: Q4 A solid shaft in a rolling mill transmits a torque of 1600 N.m. Determine the diameter of the…

A: Given Data  Torque=1600 N.m Shearing stress, 40 MPa Angle of twist, θ=8° Length = 2500 mm G=83 GPa…

Q: T torque is applied to the part made of Aluminum and Steel fixed at A and B points. The diameter of…

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

A: Givend=40mmτ=80MPa=80 N/mm2

Q: A flanged bolt coupling consists of eight d-mm diameter steel bolts on a bolt circle 262 mm in…

A: Answer: The diameter of the bolt is 12.55 mm.

Q: Consider a solid aluminum shaft perfectly bonded to a brass cylinder subjected to two concentrated…

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Q: If the internal torque experienced by a hollow brass shaft (G = 39 GPa) at a section with diameter d…

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Q: A torque of 10kN-m is to be carried by a flanged bolt coupling that consists of eight 10mm diameter…

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Q: For the solid circular rods exposed to the shown torques, determine the segment that experiences…

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Q: solid steel shaft must not twist through more than 3° in a 6-m length when subjected to a torque of…

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Q: If the internal torque experienced by a solid brass shaft (G =39 GPa) with radius r=50 mm is T = 12…

A: Consider a twisting moment T is applied to a shaft having radius R. Then, torsional shear stress…

Q: A flanged bolt coupling has ten (10) steel 25.4 mm diameter bolts evenly tighten around a 415 mm…

A: Given: n = 10 D = 25.4 mm R = 415/2 mm tau = 50 MN/m2

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 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: A solid steel shaft of circular cross-section has diameter 50 mm, length 1,028 mm and shear modulus…

A: Let T =Maximum permissible torque d =Diameter =50mm J=Polar moment of inertia =613592.31mm4 τ…

Q: A hallow steel shaft 2540 mm long must transmit torque of 34 KN-m. The total angle of twist must not…

A: Given that, for a hollow shaft, L = 2540 mm T = 4 kN-m Maximum angle of twist =  3 degrees Maximum…

Q: For a given maximum average shear stress, determine the factor by which the torque-carrying capacity…

A: The mean area without reversed position Am=(1.10)1.75-π(0.55)22=1.4498 in2 The mean area at reversed…

Q: A solid circular shaff is acted upon by the torques as shown. If G= 12, 000 ksi determine: a.…

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Q: A steel shaft 7 ft long that has a diameter of 5 inches is subjected to a torque of 47 kip ft.…

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Q: A hollow cylindrical steel shaft is 1.5 m long and has inner and outer diam-eters respectively equal…

A: Given: do=60 mm=0.06 mdi=40 mm=0.04 mτmax=120 MPa To determine: Maximum torque can be applied for…

Q: 2. A tube is made of aluminum (G = 24 GPa ) and has a rectangular cross section as shown in figure.…

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Q: The solid cast-iron shaft shown in Fig.a is subjected to a torque of T = 400 lb # ft. Determine its…

A: Maximum shear stress,τmax=TrJwhere,r=radius of shaftT=torque=400 lb.ftJ=Polar…

Q: 2. If 75 N/mm is the maximum shear stress and 50 kN-m is the torque acting on a solid shaft, then…

A: Given: Maximum shear stress τmax = 75 N/mm2 = 75000 kN/m2 Torque acting on a shaft      T = 50kN-m…

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.