3. The section of shaft shown in the figure is to be designedto approximate relative sizes of d = 0.75D and r = D/20with diameter d conforming to that of standard metricrolling-bearing bore sizes. The shaft is to be made ofSAE 2340 steel, heat-treated to obtain minimum.strengths in the shoulder area of 1226-MPa ultimatetensile strength and 1130-MPa yield strength with aBrinell hardness not less than 368. At the shoulder theshaft is subjected to a completely reversed bending moment of 70 Nm, accompanied by a steadytorsion of 45 N m. Use a design factor of 2.5 and size the shaft for an infinite life.Note: Section of a shaft containing a grinding-relief groove. Unless otherwise specified, thediameter at the root of the groove dr = d - 2r, and though the section of diameter d is ground, theroot of the groove is still a machined surface.

Given: d=0.75D r=D/20 Sut=1226MPa=175kpsiSys=1130MPa=160kpiM=70NmT=45NmN=2.5 To find: Size the…

Answered: The section of shaft shown in the…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A alm T 1.20 m T B 1.20 m C 3 T The 60 mm diameter shaft is made of 6061-T6 aluminum having an allowable shear stress of Tallow 80 MPa. Find the corresponding angle of twist of disk A relative to disk C. Note: You will need to calculate the maximum allowable torque T first. Provide your answer for angle of twist in radians with 3 significant figures after the decimal point.
The section of shaft shown in the figure is to be designed to approximate relative sizes of d = 0.75D and r = D/20 with diameter d conforming to that of standard metric rolling-bearing bore sizes. The shaft is to be made of SAE 2340 steel, heat-treated to obtain minimum strengths in the shoulder area of 1226-MPa ultimate tensile strength and 1130-MPa yield strength with Brinell hardness not less than 368. At the shoulder the shaft is subjected to a completely reversed bending moment of 70 Nm, accompanied by a steady torsion of 45 N. m. Use a design factor of 2.5 and size the shaft for an infinite life.
complete solution A solid steel shaft must not twist through more than 30 in a 6-m length whented to a torque of 12 kN • m. (a) Find the diameter of the smallest shaft thatcan be used. (b) What is the maximum shear stress in the shaft of this diameter? UseG = 83 GPa for steel.
A motor driving a solid circular steel shaftwith diameter d = 1.5 in. transmits 50 hp to a gear atB. The allowable shear stress in the steel is 6000 psi.Calculate the required speed of rotation (number ofrevolutions per minute) so that the shear stress in theshaft does not exceed the allowable limit.
A sleeve made of AISI 1040 CD steel has inner and outer diameters 40mm and 50mm, respectively. It is press fit on a solid shaft of same material with diameter 42mm such that the nominal diameter between sleeve and shaft became 41mm. a. Find the pressure developed between shaft and sleeve. b. Draw the tangential, radial, and total stress as a function of radius, for both sleeve and shaft. c. Find the maximum shaft diameter that can be used before failure.
A turbine shaft transmits 500 kW power at 900 rpm. The permissible shear stress is 80N/mm² while twist is limited to 0.5º in a length of 2.5 m. Take G = 0.8x10⁵ N/mm², on thebasis of torsional rigidity;i.Determine diameter of shaft if solid shaft is used.ii.If hollow shaft is chosen with di/do = 0.6, determine the suitable diameters of theshaft. please write with ball pen.. thank you
The sbaft shown overhangs a bearing on the right and has the following dimensions: a - 5 in., b - 4 in., and - 10 in. The material is AISI C1040. annealed. This shaft is subjected to a torque T 10,000 in-lb., forces F - 10,000 lb. and F, 20,000 lb. Using a atatio-design approach, determine the diameter D for N 2.5, with eomputa- %3D Answer: a) Dia. = _inches %3D %3D %3D tions from the maximum shear stress theory. Note: Use Sy = 48,000 psi F2 N M
A stepped shaft has dimensions of D = 2 in., d = 1 in., and r= 0.1 in. It is machined from AISI steel of 200 Bhn hardness. The load is fully reversed axial torsion. 30 seconds of time history of the nominal torsional stress in the 1 in, section of the shaft, Tnom(t) = Tr/J, is shown (dots indicate the beginning/end of each load cycle; there are 20 cycles total in 30 seconds.). This duty cycle continues repeating. (a) Use Miner's rule to estimate the life of the shaft in cycles. (b) What is the expected life in hours. Su 0.5HB for steel. 30 20 10 -10 -20 -30 30 seconds D=2 in. d=1 in. f= 0.1 in. 200 Bhn
The section of the shaft shown in the figure is to be designed to approximate relative sizes of d= 0.75D and r = D/20 with diameter d conforming to that of standard metric rolling bearing sizes. The shaft is to be made of SAE 2340 steel, heat-treated to obtain minimum strengths in the shoulder area of 175 kpsi ultimate tensile strength and 160 kpsi yield strength with a Brinell hardness not less than 370. At the shoulder the shaft is subjected to a completely reversed bending moment of 600 lb-in, accompanied by a steady torsion of 400 lb-in. Use a design safety factor of 2.5 and size the shaft for infinite life. ** Note: Without a fully corrected endurance limit, we will need to make an initial guess of the diameter at the groove to calculate our Marin factors. Take the initial guess d, (i.e., d-2r) = 0.799 inches.
Design a hallow shaft (Diameter and length) that develops 80 kW of power while rotating at a speed of 4000 rpm. The design constrains are as under:The angle of twist not to exceed 0.200Shear stress is not to exceed 480 MN/m2The outer diameter is to be twice the inner diameter. The shaft length is to be three times the outer diameter. Modulus of rigidity = 79 GN/m2.
What is the minimum diameter of a solid steel shaft that will not twist through more than 3 in a 6 m length when subjected to a torque of 12 kN-m? (b) what maximum stress is developed in the shaft? Use G-83 GPa. Remember the angle of twist (0) calculated using the equations is in radians. Incorrect solution will be downvoted
The motor shown supplies 126 hp at 1340 rpm at A. Shafts (1) and (2) are each solid 1.86-in.-diameter steel [G= 11400 ksi] shafts with lengths of L₁ = 79 in. and L₂ = 105 in., respectively. Assume Ng-27 teeth and Nc-42 teeth. The bearings shown permit free rotation of the shafts. (a) Determine the maximum shear stresses T₁, T2 produced in shafts (1) and (2). (b) Determine the rotation angle DIA of gear D with respect to flange A. Answers: (a) T₁ (b) DIA = = i A i (1) Nc C L1 NB B GE (2) D ksi, T₂ = TD Mi L2 ksi.

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