CONNECT F/SHIGLEY'S MECH.ENGR.DESIGN>I<
10th Edition
ISBN: 9781260058499
Author: BUDYNAS
Publisher: INTER MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 6, Problem 62P
The material properties of a machine part are Sut = 85 kpsi, f = 0.86, and a fully corrected endurance limit of Se = 45 kpsi. The part is to be cycled at σa = 35 kpsi and σm = 30 kpsi for 12 (103) cycles. Using the Gerber criterion, estimate the new endurance limit after cycling.
(a) Use Miner’s method.
(b) Use Manson’s method.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Mechanical design
The maximum load in a rotating shaft is subjected to bending moment of 1 kN.m and a torque of 1 kN.m. The member is made of steel the Ultimate Tensile Strength 440 MPa, Yield Tensile Strength 370 MPa. With a safety factor of 4, kt = km = 1.5 and keyway stress consternation is presented. According to the maximum shear stress theory, the shaft diameter will be:
a. 160 mm
b. 74 mm
C. 145 mm
d. 92.5 mm
e. 60 mm
f. 66 mm
A shaft is loaded in bending and torsion such that Ma = 69 N · m, Ta = 42 N · m, Mm = 52 N · m, and Tm = 31 N · m. For the shaft, Su = 700 MPa and Sy = 560 MPa, and a fully corrected endurance limit of Se = 210 MPa is assumed. Let Kf = 2.2 and Kfs = 1.8. With a diameter of 28 mm, determine the yielding factor of safety using von Mises stress to consider the possibility of static failure in the first load cycle.
A shaft is loaded in bending and torsion such that Ma = 62 N · m, Ta = 48 N · m, Mm = 54 N · m, and Tm = 25 N · m. For the shaft, Su = 700 MPa and Sy = 560 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 in mm using the DE-Goodman criterion.
Chapter 6 Solutions
CONNECT F/SHIGLEY'S MECH.ENGR.DESIGN>I<
Ch. 6 - A 10-mm steel drill rod was heat-treated and...Ch. 6 - Prob. 2PCh. 6 - A steel rotating-beam test specimen has an...Ch. 6 - A steel rotating-beam test specimen has an...Ch. 6 - A steel rotating-beam test specimen has an...Ch. 6 - Repeat Prob. 6-5 with the specimen having an...Ch. 6 - A steel rotating-beam test specimen has an...Ch. 6 - Derive Eq. (6-17). Rearrange the equation to solve...Ch. 6 - For the interval 103 N 106 cycles, develop an...Ch. 6 - Estimate the endurance strength of a...
Ch. 6 - Two steels are being considered for manufacture of...Ch. 6 - A 1-in-diamctcr solid round bar has a groove...Ch. 6 - A solid square rod is cantilevered at one end. The...Ch. 6 - A rectangular bar is cut from an AISI 1020...Ch. 6 - A solid round bar with diameter of 2 in has a...Ch. 6 - The rotating shaft shown in the figure is machined...Ch. 6 - The shaft shown in the figure is machined from...Ch. 6 - Solve Prob. 6-17 except with forces F1 = 1200 lbf...Ch. 6 - Bearing reactions R1 and R2 are exerted on the...Ch. 6 - A bar of steel has the minimum properties Se = 40...Ch. 6 - Repeat Prob. 6-20 but with a steady torsional...Ch. 6 - Repeat Prob. 6-20 but with a steady torsional...Ch. 6 - Repeat Prob. 6-20 but with an alternating...Ch. 6 - A bar of steel has the minimum properties Se = 40...Ch. 6 - The cold-drawn AISI KUO steel bar shown in the...Ch. 6 - Repeat Prob. 6-25 for a load that fluctuates from...Ch. 6 - An M14 2 hex-head bolt with a nut is used to...Ch. 6 - The figure shows a formed round-wire cantilever...Ch. 6 - The figure is a drawing of a 4- by 20-mm latching...Ch. 6 - The figure shows the free-body diagram of a...Ch. 6 - Solve Prob. 6-30 except let w1 = 2.5 in. w2 = l.5...Ch. 6 - For the part in Prob. 630, recommend a fillet...Ch. 6 - Prob. 33PCh. 6 - Prob. 34PCh. 6 - A part is loaded with a combination of bending,...Ch. 6 - Repeat the requirements of Prob. 6-35 with the...Ch. 6 - 6-37 to 6-46For the problem specified in the build...Ch. 6 - 6-37 to 6-46For the problem specified in the build...Ch. 6 - 637 to 646 For the problem specified in the table,...Ch. 6 - For the problem specified in the table, build upon...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - Problem Number Original Problem, Page Number 637...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - 6-47 to 6-50 For the problem specified in the...Ch. 6 - 6-47 to 6-50 For the problem specified in the...Ch. 6 - Prob. 49PCh. 6 - Prob. 50PCh. 6 - 6-51 to 6-53 For the problem specified in the...Ch. 6 - 6-51 to 6-53 For the problem specified in the...Ch. 6 - 6-51 to 6-53 For the problem specified in the...Ch. 6 - Solve Prob. 6-17 except include a steady torque of...Ch. 6 - Solve Prob. 618 except include a steady torque of...Ch. 6 - In the figure shown, shaft A, made of AISI 1020...Ch. 6 - A schematic of a clutch-testing machine is shown....Ch. 6 - For the clutch of Prob. 657, the external load P...Ch. 6 - A flat leaf spring has fluctuating stress of max =...Ch. 6 - A rotating-beam specimen with an endurance limit...Ch. 6 - A machine part will be cycled at 350 MPa for 5...Ch. 6 - The material properties of a machine part are Sut...Ch. 6 - Repeat Prob. 662 using the Goodman criterion....
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A 1-in steel shaft is loaded with combined bending and torsion: Ma = 1,024 lbf · in, Ta = 0 lbf · in, Mm = 0 lbf · in, and Tm = 995 lbf · in. Other properties include Se = 31.6 kpsi (fully corrected), Sut = 105 kpsi, Kf = 1.74, and Kfs = 1.46. Calculate the fatigue factor of safety using the DE-Goodman criterion.arrow_forwardThe material is a spring wire has a shear modulus of 1.2 x 107 lbf/in2. The maximum allowable stress under design conditions is 50,000 lbf/in2. The spring index is 7. Assume the maximum stress is experienced when a 700 lbm object falls from a height of 46 in above the tip of the spring, impacts squarely on the spring, and deflects the spring 10 in. Determie:1. The minimum wire diameter is most nearlyA. 0.58 in B. 0.88 in C. 1.4 in D. 1.8 in2. The mean coil diameter is most nearlyA. 8.6 in B. 10 in C. 13 in D. 16 in3. The number of active coils is most nearlyA. 8 B. 11 C. 12 D. 14arrow_forwardThe rotating shaft running at n = 900 rpm, shown in the figure below, is machined from AISI 1045 CD steel. It is subjected to a force of F = 10.1 kN. The shaft is experiencing an operating temperature of 35 oC. With the specified loading and for the reliability of 99.9 %, Determine the minimum factor of safety for fatigue based on infinite life*. Determine the maximum safe load (Fmax) that can be applied for a factor of safety of 1.5 and a design life of 5x105 cycles, all other input values remaining the same. Determine the factor of safety against yielding.arrow_forward
- A certain steel shafting material has an ultimate strength of 93 ksi, a notch radius of 0.25 inch, and a stress concentration factor of 2.5 at its pitch. Determine the fatigue-strength reduction factor for a life of 166,077 cycles onlyarrow_forwardTorque in = 40nm Holding torque out = 896nm 8.Using your answers from the gear box above, and given that the input shaft has a diameter of 12 mm and the output shaft has a diameter of 15 mm, both shafts are made from aluminium. When this transmission system was operated, it failed. Identify the position where the failure occurred and the reason for this failure. Suggests improvements to the system to overcome the failure mode. The shear strength of aluminium is 207 MPa.arrow_forwardDetermine the thermal shock resistance for a tool steel with the following properties: tensile strength σ = 2000MPa, thermal conductivity k = 51.9 W/m℃, elastic modulus E = 200 000 MPa, and thermal expansion coefficient α = 12.1 m/m℃.A fix inclined-plane thrust bearing is designed to carry a total normal load of 50kN at optimum capacity with the following specifications: ro = 100mm, ri = 50mm, N = 3600 rpm, l/b = 1, b = 40mm, hi – h0 = 25 μm and SAE 20 oil is used with an inlet temperature of 55℃ (μd = 29 cP). Determine the minimum film thickness assuming that the change in oil is negligible.arrow_forward
- An input shaft of a gearbox with motor power P = 7 kW and rotation number n = 1300 rpm. The diameter of an input shaft is d = 20 mm and its material is 16MnCr5. A force of F = 2800 N forces the shaft due to the operation of a gear wheel connected with a wedge on the input shaft. The distances of the gear from the bearings are given as L₁ = 40 mm and L2 = 60 mm. In the most dangerous section, you are required to check the strength according to the S = 3 safety factor. If the section is unsafe in terms of strength, what changes would you make in the design to make it safe? (The surface of the spindle is machined as fine chips, reliability poor Kg = 1.).arrow_forwardCalculate the elongation of a solid steel shaft of SAE 1030 carbon steel 2 7/8 inches in diameter by 5 ft in length supporting a direct tension load of 60.000 lbs. The factor of safety is set at 4, stress concentration factor k = 1, and yield strength of 40.000 psi. 0.0996 0.0185 0.0235 0.1886arrow_forwardThe material is a spring wire has a shear modulus of 1.2 x 107 lbf/in2. The maximum allowable stress under design conditions is 50,000 lbf/in2. The spring index is 7. Assume the maximum stress is experienced when a 700 lbm objects falls from a height of 46 in above the tip of the spring, impacts squarely on the spring, and deflects the spring 10 in. Determie: 1. The minimum wire diameter is most nearly A. 0.58 in B. 0.88 in C. 1.4 in D. 1.8 in 2. The mean coil diameter is most nearly A. 8.6 in B. 10 in C. 13 in D. 16 in 3. The number of active coils is most nearly A. 8 B. 11 C. 12 D. 14arrow_forward
- A circular bar of L 570mm length is supported freely at its two ends. It is acted upon by a central concentratedcyclic load having a minimum value of 20 kN and a maximum value of 50 kN. Take a factor of safety of1.5, size effect of 0.85, and a surface finish factor of 0.9. The material properties of bar are given as ultimatestrength of σu 625MPa, yield strength of σy 510MPa and endurance strength of σe 340MPa. Determine thediameter of bar by using Goodman’s method and Soderberg method.arrow_forwardThe disc clutch of an automobile is carried on a 2-inch 6-splined shaft and not to slide under load. The nominal dimensions are as follows: b = 0.25 D; t = 0.075 D and d = 0.85 D. The hub length of 150 % of shaft diameter. Determine the total horsepower transmitted at 3,600 rpm, if the yield strength of the shaft is 1,400 psiarrow_forwardA rotating shaft of 40×4 mm AISI 1018 cold-drawn steel tubing has a 6 mm diameter hole drilled transversely through it. Estimate the factor of safety guarding against fatigue and static failures using the Gerber and Langer failure criteria for the following loading conditions: a. The shaft is subjected to a completely reversed torque of 120 N.m in phase with a completely reversed bending moment of 150 N.m. b. The shaft is subjected to a pulsating torque fluctuating from 20 to 160 N.m and as steady bending moment of 150 N.m.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Stresses Due to Fluctuating Loads Introduction - Design Against Fluctuating Loads - Machine Design 1; Author: Ekeeda;https://www.youtube.com/watch?v=3FBmQXfP_eE;License: Standard Youtube License