3.53 plz 3.53 A torque T = 40 kip-in. is applied at end A of the composite shaftshown. Knowing that the modulus of rigidity is 11.2 x 10° psi forsteel and 4 x 10° psi for aluminum, determine (a) the maximumshearing stress in the steel core, (b) the maximum stress in the alu-minum shell, (c) the angle of twist at A.3 in.2 in.Steel100 in.AluminumFig. P3.53 and P3.54

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Answered: A torque T = 40 kip-in. is applied at…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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A torque of magnitude T= 4 kN·m is applied at end A of the compos-ite shaft shown. Knowing that the modulus of rigidity is 77 GPa for the steel and 27 GPa for the aluminum, determine (a) the maximum shearing stress in the steel core, (b) the maximum shearing stress in the aluminum jacket, (c) the angle of twist at A.
A compound steel [G = 80 GPa] shaft consists of a solid 92-mm-diameter segment (1) and a solid 60-mm-diameter segment (2). The allowable shear stress of the steel is 96 MPa, and the maximum rotation angle at the free end of the compound shaft must be limited to φC ≤ 4°. Determine the magnitude of the largest torque TC that may be applied at C.
A composite shaft shown, composed of a steel (G = 77 GPa) core inside an aluminum (G = 25 GPa) jacket, carries a torque, T = 10 kN-m. The shaft is designed such that the aluminum jacket will fail first upon the application of the torque. 1) If the allowable shear strength of aluminum is 45 MPa, determine the minimum thickness, t, of the aluminum jacket, that can carry the torque.2) What must be the minimum shear strength of steel such that the aluminum jacket will fail first?3) Determine the maximum angle of twist that can be applied to the shaft.
A steel shaft BCD (G=80 GPa) of total length 3 m is encased for 1/3 of its length by a bronze sleeve ABC (G=41 GPa) that is securely bonded to the steel. The diameter of the steel is 60 mm while the outer diameter of the bronze is 80 mm. a. What is the maximum allowable torque in gear A if the allowable shear stresses in the steel and bronze are limited to 110 MPa and 70 MPa, respectively; and the angle of twist between A and D is limited to 9o? b. What power is supplied by the motor that corresponds to the computed torque at A if shaft EF rotates at 200 rpm? The diameter of gear E is 60 mm while gear D has a diameter of 100 mm.
A hollow steel shaft 2,510 mm long must transmit the torque of 34 kN-m. The total angle of twist must not exceed 3°. The maximum shearing stress must not exceed 110 MPa. Use G = 83 GPa. Which of the following gives the minimum required polar moment of inertia? Which of the following gives the minimum outside diameter so that the allowable shearing stress will not be exceeded? Which of the following most nearly gives the maximum required inside diameter?
The composite shaft shown consists of a 0.2-in.-thick brass jacket (Gbrass= 5.6 × 106 psi) bonded to a 1.2-in.-diameter steel core (Gsteel=11.2 × 106 psi). Knowing that the shaft is subjected to a 5-kip·in. torque, determine (a) the maximum shearing stress in the steel core, (b) the angle of twist of B relative to end A
A 1.5-m-long tubular steel shaft of 38-mm outer diameter d1 is to be made of a steel for which τall = 65 MPa and G = 77.2 GPa. Knowing that the angle of twist must not exceed 4° when the shaft is subjected to a torque of 540 N·m, determine the largest inner diameter d2 that can be specified in the design.
A torque T = 40 kip⋅in. is applied at end A of the composite shaft shown. Know that the modulus of rigidity is 11.2 × 106 psi for steel and 4 × 106 psi for aluminum. a) Determine the maximum shearing stress in the steel core. b) Determine the maximum stress in the aluminum shell. c) Determine the angle of twist at A.
A hollow shaft's inner diameter is half of its outer diameter D. Show that the maximum torque that this shaft can carry is 15/16th of the maximum torque that a solid shaft of diameter D made of the same material can carry.
Shaft AB is made of a steel with an allowable shearing stress of 90 MPa andshaft BC is made of an aluminum with allowable shearing stress of 60 MPa.Knowing that the diameter of shaft BC is 50 mm and neglecting the effect ofstress concentrations, determine (a) the largest torque T that can be appliedat A if the allowable stress is not to exceeded in the shaft BC, (b) thecorresponding required diameter of shaft AB.
The composite shaft shown is to be twisted by applying a torque T at end A. Knowing that the modulus of rigidity is 77 GPa for the steel and 27 GPa for the aluminum, determine the largest angle through which end A can be rotated if the following allowable stresses are not be exceeded: τsteel= 60 MPa and τaluminum= 45 MPa.
A steel pipe of 12-in. outer diameter is fabricated from 14-in.-thick plate by welding along a helix that forms an angle of 45° with a plane parallel to the axis of the pipe. Knowing that the maximum allowable tensile stress in the weld is 12 ksi, determine the largest torque that can be applied to the pipe.

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