SHIGLEY'S MECH.ENGINEERING DESIGN-EBK>I
10th Edition
ISBN: 9781259489563
Author: BUDYNAS
Publisher: INTER MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 5, Problem 59P
This problem illustrates that the strength of a machine part can sometimes be measured in units other than those of force or moment. For example, the maximum speed that a flywheel can reach without yielding or fracturing is a measure of its strength. In this problem you have a rotating ring made of hot-forged AISI 1020 steel; the ring has a 6-in inside diameter and a 10-in outside diameter and is 0.5 in thick. Using the distortion-energy theory, determine the speed in revolutions per minute that would cause the ring to yield. At what radius would yielding begin? [Note: The maximum radial stress occurs at r = (r0ri)1/2; see Eq. (3–55).|
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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.).
drive shaft is made of AISI 1015 HR with a yield strength of 190 MPa. The shaft transmits a torque of 120 Nm and is subjected to a uniform axial tension of 1000 N. Based on the distortion energy theory, calculate the minimum shaft diameter (diameter diameter) that satisfies the safety factor n of 2.0 (calculated up to the diameter of the shaft).
A 1-in-diameter solid round bar has a groove 0.1-in deep with a 0.1-in radius machined into it. The bar is made of AISI 1020 CD steel and is subjected to a purely reversing torque of 1800 lb-in. For the S-N diagram of this material, let f=0.9.
Estimate the number of cycles to failure.
If the bar is also placed in an environment with a temperature of 750 F, estimate the number of cycles to failure
Chapter 5 Solutions
SHIGLEY'S MECH.ENGINEERING DESIGN-EBK>I
Ch. 5 - A ductile hot-rolled steel bar has a minimum yield...Ch. 5 - A ductile hot-rolled steel bar has a minimum yield...Ch. 5 - A ductile hot-rolled steel bar has a minimum yield...Ch. 5 - A ductile hot-rolled steel bar has a minimum yield...Ch. 5 - A ductile hot-rolled steel bar has a minimum yield...Ch. 5 - Prob. 6PCh. 5 - 5-7 to 5-11 An AISI 1018 steel has a yield...Ch. 5 - 5-7 to 5-11 An AISI 1018 steel has a yield...Ch. 5 - 5-7 to 5-11 An AISI 1018 steel has a yield...Ch. 5 - 5-7 to 5-11 An AISI 1018 steel has a yield...
Ch. 5 - 5-7 to 5-11 An AISI 1018 steel has a yield...Ch. 5 - A ductile material has the properties Syt = 60...Ch. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - Prob. 15PCh. 5 - 5-14 to 5-18 An AISI 4142 steel QT at 800F...Ch. 5 - 5-14 to 5-18 An AISI 4142 steel QT at 800F...Ch. 5 - 5-14 to 5-18 An AISI 4142 steel QT at 800F...Ch. 5 - A brittle material has the properties Sut = 30...Ch. 5 - Repeat Prob. 519 by first plotting the failure...Ch. 5 - For an ASTM 30 cast iron, (a) find the factors of...Ch. 5 - For an ASTM 30 cast iron, (a) find the factors of...Ch. 5 - Prob. 23PCh. 5 - For an ASTM 30 cast iron, (a) find the factors of...Ch. 5 - 5-21 to 5-25 For an ASTM 30 cast iron, (a) find...Ch. 5 - 5-26 to 5-30 A cast aluminum 195-T6 exhibits Sut =...Ch. 5 - 5-26 to 5-30 A cast aluminum 195-T6 exhibits Sut =...Ch. 5 - 5-26 to 5-30 A cast aluminum 195-T6 exhibits Sut =...Ch. 5 - 5-26 to 5-30 A cast aluminum 195-T6 exhibits Sut =...Ch. 5 - 5-26 to 5-30 A cast aluminum 195-T6 exhibits Sut =...Ch. 5 - 5-31 to 5-35 Repeat Probs. 526 to 530 using the...Ch. 5 - 5-31 to 5-35 Repeat Probs. 526 to 530 using the...Ch. 5 - Repeat Probs. 526 to 530 using the modified-Mohr...Ch. 5 - Repeat Probs. 526 to 530 using the modified-Mohr...Ch. 5 - Repeat Probs. 526 to 530 using the modified-Mohr...Ch. 5 - This problem illustrates that the factor of safety...Ch. 5 - For the beam in Prob. 344, p. 147, determine the...Ch. 5 - A 1020 CD steel shaft is to transmit 20 hp while...Ch. 5 - For the problem specified in the table, build upon...Ch. 5 - For the problem specified in the table, build upon...Ch. 5 - 5-39 to 5-55 For the problem specified in the...Ch. 5 - Prob. 42PCh. 5 - For the problem specified in the table, build upon...Ch. 5 - For the problem specified in the table, build upon...Ch. 5 - Prob. 45PCh. 5 - 5-39 to 5-55 For the problem specified in the...Ch. 5 - Prob. 47PCh. 5 - For the problem specified in the table, build upon...Ch. 5 - For the problem specified in the table, build upon...Ch. 5 - For the problem specified in the table, build upon...Ch. 5 - For the problem specified in the table, build upon...Ch. 5 - 5-39 to 5-55 For the problem specified in the...Ch. 5 - 5-39 to 5-55 For the problem specified in the...Ch. 5 - For the problem specified in the table, build upon...Ch. 5 - For the problem specified in the table, build upon...Ch. 5 - Build upon the results of Probs. 384 and 387 to...Ch. 5 - Using F = 416 lbf, design the lever arm CD of Fig....Ch. 5 - A spherical pressure vessel is formed of 16-gauge...Ch. 5 - This problem illustrates that the strength of a...Ch. 5 - Prob. 60PCh. 5 - A cold-drawn AISI 1015 steel tube is 300 mm OD by...Ch. 5 - Prob. 62PCh. 5 - The figure shows a shaft mounted in bearings at A...Ch. 5 - By modern standards, the shaft design of Prob. 563...Ch. 5 - Build upon the results of Prob. 340, p. 146, to...Ch. 5 - For the clevis pin of Prob. 340, p. 146, redesign...Ch. 5 - A split-ring clamp-type shaft collar is shown in...Ch. 5 - Prob. 68PCh. 5 - Prob. 69PCh. 5 - Prob. 70PCh. 5 - Two steel tubes have the specifications: Inner...Ch. 5 - Repeal Prob. 5-71 for maximum shrink-fit...Ch. 5 - Prob. 73PCh. 5 - Two steel lubes are shrink-filled together where...Ch. 5 - Prob. 75PCh. 5 - Prob. 76PCh. 5 - Prob. 77PCh. 5 - Prob. 78PCh. 5 - Prob. 79PCh. 5 - Prob. 80PCh. 5 - Prob. 81PCh. 5 - For Eqs. (5-36) show that the principal stresses...Ch. 5 - Prob. 83PCh. 5 - A plate 100 mm wide, 200 mm long, and 12 mm thick...Ch. 5 - A cylinder subjected to internal pressure pi has...
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
- The material of a certain transmission shaft uses AISI 1030 HR, its yield strength is 260 MPa, the transmission torque of this shaft is 160 N·m, and it is subjected to a uniform axial tension of 0.5 kN. Please calculate according to the Distortion energy theory. The minimum shaft diameter with a safety factor n of 2.5 (to 2 decimal places).arrow_forwardA 2-in-diameter C1118, as rolled steel shaft rotates at 240 rpm. Assuming a repeated, reversed and gradual loading is applied, determine the maximum horsepower that can be transmitted (hp). Since torsional stress is considered a shearing stress, use the equation Ssy = 0.75 Sy for the design. find, Horsepower, hparrow_forwardBar of steel, (yield strenght Sy = 462 MPa) is subjected to the following stresses; σx = 171 MPa , σy = -144 MPa , τxy = 175 MPa Using the Distortion-Energy Theory determine the factor of safety and check is the bar will fail or not.arrow_forward
- A torque of 40,000 N.m is applied to a 10 cm diameter shaft. What is the factor of safety of a steel(Sy = 410 MPa) if its shear strength is one-half of its capacity in tension?arrow_forwardA spur gear wheel will be produced for the motion mechanism of a woodworking machine driven by a single cylinder engine. Considering the data below, find the tangential force on the gear in Newtons according to the root strength. Module for gear=5 cm ; module width ratio =14 ; number of teeth=16 ; Clutch ratio=1 ; form factor Kf=1.4 ; load distribution factor Km=1.5 ; the circumferential speed of the gear is =56 m/sec (To be used only in Kv calculation). Safety stress of gear material=37 N/mm2. 1-) Table will NOT be used for Kv-Speed factor. It will be calculated with the formula Kv=1+0.03*V. 2-) V in Kv calculation shows the velocity as m/sec. 3-) It will be taken as Pi=3.14.arrow_forwardI am only interested in part 6-27(a). I see that Bartleby has answered this question before but I have a question regarding the yielding factor of safety. Why is the yielding factor of safety calculated as ( n=Sy/sigma_max), but not as ( n=Sy/Kf*sigma_max)? Since there is stress concentration factor.arrow_forward
- Derive using Second Order Differential equation the solution for displacement of undamped free vibration? = ?????? + ??????arrow_forwardProduced from xCy steel material by machining method, the shaft is bedded at C and D points. With the shaft, constant Fy= 830 N forces in the vertical direction and constant Fx= 4,3 kN forces in the axial direction, which do not rotate together. The tensile strength of the shaft material is (sigma)tensile = 630 MPa and the yield strength is (sigma)yield = 430 MPa. For 50% reliability, analyze the fatigue damage condition of the shaft sections A and B separately.Question: How do we apply a tensile force to a part supported on both sides?Answer: We think that one of the bearings is a bearing that allows axial movement.(Take SI unit and make the solutions legit and clear please. I need an answer even though it doesn't reach a clear solution.)arrow_forwardThe figure (attached) shows a belt pulley mechanism which is loaded statically. The shaft is made of AISI 1030 steel with the yield strength of 480 MPa. Using distortion energy theory (DET), determine the diameter of the shaft with a factor of safety of 2.arrow_forward
- A 2" diameter shaft with a radial hole of 0.5" dia. is made of steel whose BHN=186. What is its fatigue-strength reduction factor if the shaft is to be subjected to pure torsion?arrow_forwardThe shaft shown in the figure is machined from AISI 1040 CD steel. The shaft rotates at 1600 rpm and is supported in rolling bearings at A and B. The applied forces are F1 = 1600 lbf and F2 = 640 lbf. A steady torque of 1600 lbf·in is being transmitted through the shaft between the points of application of the forces. ——————————————- Determine the endurance limit for this material as well as the value after correction for surface finish, sizing, and loading. (You must provide an answer before moving to the next part.) The endurance limit for this material is kpsi. The value after correction for surface finish, sizing, and loading is kpsi.arrow_forwardDesign of a Shaft subjected to Alternating Loads 1. [Proof of Concept] Considéra machined steel circular shaft subjected to maximum and minimum bending moment of 1000 and 4000 lb .in, respectively; and a maximum and minimum torque of 250 and 1600 Ib.in, respectively. Consider the factor of safety to be 2, the yield strength of the materials 40 ksi, and its ultimate strength to be 70ksi.Determine the minimum diameter of the shaft for the case where D is 20% larger than d, the fillet radius is 10% of d, and reliability is 99%. You may use DE-ASM E formula. 2. Write a computer code that can take Tm, Ta, Mm, Ma, choice of material, safety factor, and other necessary assumptions from the user and return an estimated diameter for the shaft.Choice of inputs is up to you. Note that many of the required quantities are themselves function of the shaft diameter. Your code should be submitted with a report.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 Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering 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