The drive shaft of a car is subjected to both bending and torsion. Thetorque, T, is constant at 400 Nm and the bending moment has thefollowing cycle parameters: mean moment of Mm = 250 Nm andalternating moment of Ma = 800 Nm.The shaft is forged from high-carbon steel with an ultimate strength Sut= 615 MPa and endurance limit Se' = 307.5 MPa. The reliability must be90% and the safety factor is nf = 2.6. For the analysis of the stressconcentration, assume the proportions shown in the figure and a sizefactor kb = 0.9. To evaluate the factors kt, kts, q and qs, it isrecommended to use Excel spreadsheets. Calculate the first estimate ofthe minimum shaft diameter (d) in millimeters using the Goodmancriterion.1≥4D/d = 1.33r/d = 0.25r> 4 mm (To evaluate q and q₁, it is initially recommended r = 4 mm)

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Answered: The drive shaft of a car is subjected…

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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2. At a machined shaft shoulder the small diameter d is 25mm the large diameter D is 40mm, and the fillet radius is 2.5 The bending moment is 2300N mm and the steady torsion moment is 1800 N mm The heat-treated steel shaft has an ultimate strength of Sut- 850Mpa The reliability goal is 099 (ka- 0.786, kb 0.870, ke 0.814) Determine the fatigue factor of safety of the design described in this section
1. A rotating l-in diameter solid round bar has a groove 0.1-in deep with a 0.1-radius machined into it. The bar is made of AISI 1020 CD steel and is subjected to a purely reversing torque of 1800 lbf-in. For the S-N curve of the material, let f= 0.9. 1) Estimate the number of cycles to failure. 2) If the bar is also placed in an environment with a temperature of 750 °F, estimate the number of cycles to failure. Note: for pure shear stress state, find ta and Tm to replace oa and om. Apply the load factor k. = 0.59. To get safety factor against first-cycle yielding, use Sgy=0.577 Sy (based on DE theory). For fatigue life or fatigue failure criteria, Replace Sut with Sgu. Ssu = 0.67Sµt
A shaft is loaded in bending and torsion such that M₁ = 600 lbf in, T, = 400 lbf in, M. 500 lbf in, and T = 300 lbf in. For the shaft, Su 100 kpsi and S, = 80 kpsi, and a fully corrected endurance limit of S, 30 kpsi is assumed. Let Ky = 2.2 and K₁, 1.8. With a design factor of 2.0 determine the minimum acceptable diameter of the shaft using the (a) DE-Gerber criterion. (b) DE-elliptic criterion. (c) DE-Soderberg criterion. (d) DE-Goodman criterion. Discuss and compare the results. www =
7. A shaft subjected to bending moment varying from -200 N m to +s00 N m and a varying torque from 50 N m to 175 N m. If material of the shaft is 30C8, stress concentration factor is 1.85, notch sensitivity is 0.95 reliability 99.9% and factor of safety is 1.5, find the diameter of the shaft. The load on a bolt consists of an axial pull of 10 kN together with a transverse shear force of S kN. Find the diameter of bolt required according to Max imum principal stress theory; Max imum shear stress theory: Maximum principal strain theory: Maximum strain energy theory; and Max imum distortion energy theory. a. b. c. d. e. Take permissible tensile stress at elastic limit - 100 MPa and poisson's ratio - 0.3
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A rigid block is supported by two cables having the same diameter of 4 mm. Cable S1 is made of AISI 1050 cold drawn steel with E=200,000 MPa, Sy=580 MPa, and Sult=690 MPa; cable S2 is made of AISI 1020 cold drawn steel with E=200,000 MPa, Sy=390 MPa, and Sult=470 MPa. Determine the maximum number of cycles n3 due to the following history of P.
A 1-in-diameter solid round bar is made of AISI 1040 CD steel (sy = 71 kpsi, Su = 85 kpsi). It is operating at a temperature of 300°F, and is subjected to a purely reversing torque of 2000 lbf.in. Estimate the number of cycles to failure if the expected reliability is 99%. Redo the solution for a reversing torque of 8500 lbf.in. Note: The Von Mises stress for pure torsion would be o' = √3T².
Required information A helical coil compression spring is needed for food service machinery. The load varies from a minimum of Fmin 4 lbf to a maximum of Fmax 16 lbf. The spring rate k is to be 9.5 Ibf/in. The outside diameter of the spring cannot exceed 2.5 in. The spring maker has available suitable dies for drawing 0.08-in-diameter wire. Use a fatigue design factor nf of 1.5 and the Gerber-Zimmerli fatigue-failure criterion. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Determine the values for each of the following for a value of 0.08 in: The torsional modulus of rupture, Ssu, is kpsi. Torsional yield strength, Ssy, is | kpsi. The endurance strength, assuming unpeened spring wire, Sse, is The value of the mean diameter, D, is in. The alternating shear stress, Ta, is The fatigue factor of safety, nf, is The free length, Lo, is The critical length, LO(cr), is in. in. kpsi. kpsi.
A shaft subjected to bending moment varying from -200 N m to +500 N m and a varying torque from 50 N m to 175 N m. If material of the shaft is 30C8, stress concentration factor is 1.85, notch sensitivity is 0.95 reliability 99.9% and factor of safety is 1.5, find the diameter of the shaft. The load on a bolt consists of an axial pull of 10 kN together with a transverse shear force of 5 kN. Find the diameter of bolt required according to a.Maximum strain energy theory; and b.Maximum distortion energy theory. Take permissible tensile stress at elastic limit = 100 MPa and poisson’s ratio = 0.3
1.
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