Required informationA shaft is loaded in bending and torsion such that Ma= 66 Nm, Ta=42.496 N.m, Mm = 51.858N.m, and Tm = 33 N-m. For the shaft, Su = 700 MPa and Sy=560 MPa, the true fracture strengthis 1045 MPa, and a fully corrected endurance limit of Se = 210 MPa is assumed. Let Kf= 2.2 andKfs=1.8. With a design factor of 2.0, determine the minimum acceptable diameter of the shaftusing the methods mentioned in the subsection.Determine the minimum acceptable diameter of the shaft using the DE-Morrow criterion.The diameter of the shaft is 27.16 mm.

The minimum acceptable diameter is 27.16 mm.Explanation:Given: Ma = 66 N.mTa = 42.496 N.mMm = 51.858…

Answered: Required information A shaft is loaded…

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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Required information A shaft is loaded in bending and torsion such that M₂ = 66 N-m, T₂ = 42.496 N-m, Mm = 51.858 N-m, and Tm - 33 N-m. For the shaft, Su = 700 MPa and Sy=560 MPa, the true fracture strength is 1045 MPa, and a fully corrected endurance limit of S₂ = 210 MPa is assumed. Let Kf= 2.2 and Kfs=1.8. With a design factor of 2.0, determine the minimum acceptable diameter of the shaft using the methods mentioned in the subsection. Determine the minimum acceptable diameter of the shaft using the DE-Morrow criterion. The diameter of the shaft is mm.
A shaft, made of AISI 1050 CD steel, is loaded in bending and torsion such that Ma = 610 lbf · in, Ta= 375 lbf · in, Mm= 469 lbf · in, and Tm = 287 lbf· in. The shaft has a fully corrected endurance limit of S. = 30 kpsi and at the critical stress location, K= 2.3 and K = 1.9. Estimate the true fracture strength as being 50 kpsi greater than the ultimate strength. The design factor is 2.5. A) Determine the minimum acceptable diameter of the shaft using the DE- Morrow criterion. B) Determine the minimum acceptable diameter of the shaft using the DE- Gerber criterion.
Q3: A shaft is made of material has stress-strain curve is given by a -165 e 1 MPa. If the initial length is 130 mm and fracture length is 183 mm. Find: 1. The range of UPD & NPD regions. 2. The percentage difference in area reduction between necking and fracture.
1. An AISI 1018 steel has a yield strength, Sy = 295 MPa. Using the distortion energy theory for the plane stress state ox = -30 MPs, Oy = -65 MPa, and Txy = 40 MPa. 1) Determine the factor of safety. 2) Plot the safety envelope of the material. 3) Plot the load line. 4) Estimate the factor of safety by graphical method (refer to 4-1 Ductile Failure I, P10).
Estimate the fatigue strength of a rotating-beam made of AISI 1020 HR steel corresponding to a life of 12.5 kilocycles of stress reversal. Also, estimate the life of the specimen corresponding to stress amplitude of 36 ksi.
A shaft is loaded in bending and torsion such that Ma = 70 N * m, Ta = 45 N * m, Mm = 55 N * m, and Tm = 35 N * m. For the shaft, Su = 700 Mpa, the true fracture strength is 1045 MPa, and a fully corrected endurance limit of Se = 210 MPa is assumed. Let Kf = 2.2 and Kfs = 1.8. With a design factor of 2.0 determine the minimum acceptable diameter of the shaft using: a. DE-Goodman criterion b. DE-Morrow criterion c. DE-Gerber criterion d. DE-SWT criterion Discuss and compare the results.
A round bar of length /= 100 mm, diameter d 20 mm, is subjected to an axial force P- 500 N, a transverse force F5000 N, and a torque T-50 N.m. The material is steel with Sy 480 MPa. Using the distortion energy (Von Mises) yield criterion, calculate the safety factor at points A and B. 20 D. Select one: O a. NA = 7.897, Ng = 4.958 O b. NA = 0.624, Ng- 4.352 Oc. NA 4.768, Ng 2.346 O d. NA = 0.749, Ng =5.223
Define the rigid body used in statics. According to this; rigidity of bolt-nut connected elementBased on the value, the bolt diameter is 20 mm and the safe value of the bolt material.Calculate the stiffness values of the bolt and the intermediate element plate. (Note: Bolt's9x10 ^ 2 times as stress value ??? / cm ^ 2take as.). Strain gaugeElongation in bolt length measured with 250 ??, shortening amount in intermediate element platesIt was measured at 125 ??.
A circular bar - shown below, made of AISI 1040 OQT 1300 steel (SU = 600 MPa), is loaded with an axial tensile loading P. Calculate the modified endurance strength (SE) and the modified fatigue strength (SF) for the bar if D = 36 mm, d = 30 mm, and r = 2.4 mm. Use the number of cycles to fracture to be 5 × 105. Assume that the surface finish factor, kf, is 0.85, the size factor, kS, is 0.85, and the notch sensitivity factor, qn, is 0.75. Use the following equations if needed,
Given: Metal Specimen diameter x-sectiion (circular)= 0.55 in Gage Length= 2.030 in Fracture bccurved at 28,500 pounds final length= 2.30 in Final diameter= 0.43 in Determine: a) Ultimate tensile stress in ksi
A steel rotating-beam test specimen has an ultimate strength of 1600 MPa. Estimate the life of the specimenif it is tested at a completely reversed stress amplitude of 900 MPa.
A 37.5 mm round bar has been machined from AISI 1050 cold-drawn round bar Su =689 MPa. This part is to withstand a fluctuating tensile load varying from 0 to 72.5 kN. Because of the design of the ends and the fillet radius, a fatigue stress-concentration factor of 1.85 exists. Find the factor of safety F.S.

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