Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
10th Edition
ISBN: 9780073398204
Author: Richard G Budynas, Keith J Nisbett
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 6, Problem 28P
The figure shows a formed round-wire cantilever spring subjected to a varying force. The hardness tests made on 50 springs gave a minimum hardness of 400 Brinell. It is apparent from the mounting details that there is no stress concentration. A visual inspection of the springs indicates that the surface finish corresponds closely to a hot-rolled finish. Ignore curvature effects on the bending stress. What number of applications is likely to cause failure? Solve using:
- (a) Modified Goodman criterion.
- (b) Gerber criterion.
Problem 6-28
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
6-28 The figure shows a formed round-wire cantilever spring subjected to a varying force.
The hardness tests made on 50 springs gave a minimum hardness of 400 Brinell. It is
apparent from the mounting details that there is no stress concentration. A visual
inspection of the springs indicates that the surface finish corresponds closely to a hot-
rolled finish. Ignore curvature effects on the bending stress. What number of applica-
tions is likely to cause failure? Solve using:
(a) Goodman criterion.
(b) Gerber criterion.
= 40 lbf
max
12 in-
= 20 lbf
min
Problem 6-28
Starting with a spring index of C = 10, design a compression coil spring of 302 stainless wire with squared ends. The spring deflects 50 mm when a force of 90 N is applied and closes to solid when ys is 60 mm. At closure, use a design factor of 1.2 guarding against yielding. Select the smallest diameter wire where wire diameters are available in 0.2-mm increments between 0.2 and 3.2 mm. For the design, specify the wire diameter, the inside and outside diameters of the coil, the spring rate, the total number of coils, the free length of the spring, the final factor of safety, and stability conditions.
A mechanism used in a punchingmachinery consists of a tension spring assembled with a preload of 30 N. The wire diameter of spring is 2 mm with a spring index of 7. The spring has 10active coils. The spring wire is hard drawn and oil tempered having the following material properties:Design shear stress = 780 MPa Modulus of rigidity = 80 kN/mm2Identify (a) the initial torsional shear stress in the wire, (b) the spring rate, and (c) the force to cause the body of the spring to reach its yield strength.
Chapter 6 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
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 helical spring made of oil hardened and tempered steel compression springs, made of circular wire, is subjected to an axial force, which varies from (2.5 KN) to (3.5 KN). Over this range of force, the deflection of the spring should be approximately (5 mm). The spring index can be taken as (5). The spring has square and ground ends. If ultimate tensile strength of (1050 N/mm2) and modulus of rigidity of (81370 N/mm2). The permissible shear stress for the spring wire should be taken as (50 %) of the ultimate tensile strength.Design the spring and calculate the following: 1. Wire diameter; 2. Mean coil diameter; 3. Number of active coils; 4. Total number of coils; 5. Solid length of the spring; 6. Free length of the spring: 7. pitch of coils (p); 8. Required spring rate; 9. Actual spring rate; and 10. Draw a neat sketch .of the spring showing various dimensionsarrow_forwardCarbon Steel L=100mm dsmall= 20mm moment of inertia ratio between stepped cross-sectional area = 1:2 F=2500 N at A and a fillet radius at the step of 2mm -loading cycles that the design can withstand before fatigue failure - calculate cycles using goodman line and max stress from static analysis. -determine the effect of the 2mm fillet ratio on the fatigue analyisis. constant force at Aarrow_forwardA helical compression spring is required for a mechanism under static loading with a maximum force of 1250N. The deflection caused by this load is 30mm the ends are squared and ground. The spring has an index of 6 and is made of cold drawn steel wire with tensile strength of 1090 N/mm and modulus of rigidity of 81370 N/mm2. The permissible shear strength is taken as 50% of the ultimate tensile strength. Design the spring and calculate: (a) The wire diameter (b) Mean coil diameter. (c) Number of active coils (d) Total number of coils (e) Free length of the spring (f) Pitch of the coilarrow_forward
- Calculate the wire diameter of a helical spring using Wahl's factor if the load applied is 130 lb and spring index is 8, if the maximum shearing stress is 50 ksi.arrow_forwardA mechanism used in printing machinery consists of a tension spring assembled with a preload of 40 N. The mean diameter of the coilis 32 mm with a spring index of 8. The spring has 18 active coils. The spring wire is hard drawn and oil tempered having the following material properties: a.Design shear stress = 700 MPb b. .Modulus of rigidity = 80 kN/mm2 Identify (a) the initial torsional shear stress in the wire, (b) the spring rate, and (c) the force to cause the body of the spring to reach its yield strength.arrow_forwardThe free end of a torsional spring deflects through 90° when subjected to a torque of 4 N-m. The spring index is 6. Determine the coil wire diameter and number of turns with the following data : Modulus of rigidity 80 GPa ; Modulus of elasticity = 200 GPa; Allowable stress = 500 MPa.arrow_forward
- pls find box ur answer Determine the value of the von Mises stress at point A. The von Mises stress at point A is This problem illustrates that the factor of safety for a machine element depends on the particular point selected for analysis. Here you are to compute factors of safety, based upon the distortion-energy theory, for stress elements at A and B of the member shown in the figure. This bar is made of AISI 1006 cold- drawn steel and is loaded by the forces F= 0.55 kN, P = 4 kN, and T = 25 N-m. Given: Sy= 280 MPa. 5 15-mm D. 100 mm- MPa.arrow_forward6-25 The cold-drawn AISI 1040 steel bar shown in the figure reversed axial load fluctuating between 28 kN in compression to 28 kN in tension. Estimate the fatigue factor of safety based on achieving infinite life and the yielding factor of safety. If infinite life is not predicted, estimate the number of cycles to failure. 6-mm D. 25 mm Problem 6-25 10 mmarrow_forwardTwo concentric springs are constructed with squared and ground ends from oil-hardened steel. The ultimate strength for the steel is 204,000 lbf/in2 . The steel's yield strength is to be estimated as 75% of the ultimate strength. The shear modulus for the steel is 11.5 x 106 bf/in . The springs support a static force of 150 Ibf. The spring dimensions and properties are as follows: Inner spring Mean coil diameter: 1.5 in Wire diameter: 0.177 in Total number of coils: 12.75 Wire diameter: 0.2253 in Free length: 4.5 in Outer spring Mean coil diameter: 2.0 in Free length: 3.75 in Total number of coils: 10.25 A,The deflection of the inner spring is most nearly В. 2.4 in C. 2.9 in B. The maximum shear stress in the inner spring is most nearly B. 52 kips/in2 A. 2.0 in D. 3.1 in A. 47 kips/in2 C.57 kips/in2 D.64 kips/in2 C.The factor of safety in shear for the inner spring is most nearly А. 1.2 D. Specify the winding helix direction for each spring. A. parallel B. right hand B. C. clockwise В.…arrow_forward
- The cold-drawn AISI 1040 steel bar shown in the figure is subjected to a completely reversed axial load fluctuating between 15 kN in compression to 15 kN in tension. Estimate the fatigue factor of safety based on achieving infinite life, and the yielding factor of safety. If infinite life is not predicted, estimate the number of cycles to failure. 6 mm D. 25 mm 10 mmarrow_forwardDesign a helical compression spring to be used in a cam and follower mechanism made of oil tempered carbon steel, is subjected to a load which varies from 416 N to 950 N. The spring index is 6.7 and the design factor of safety is 1.25. If the yield stress in shear is 770 MPa and endurance stress in shear is 350 MPa,find: 1. Size of the spring wire, 2. Diameters of the spring, 3. Number of turns of the spring, and 4. Free length of the spring. The compression of the spring at the maximum load is 30 mm. The modulus of rigidity for the spring material may be taken as 80 kN/mm2.arrow_forwardNot all springs are made in a conventional way. Consider the special steel spring in the illustration. (a) Find the pitch, solid height, and number of active turns. (b) Find the spring rate. Assume the material is A227 HD steel. (c) Find the force F, required to close the spring solid. (d) Find the shear stress in the spring due to the force F,. 120 mm- -3.4 mm 50 mmarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Mechanical SPRING DESIGN Strategy and Restrictions in Under 15 Minutes!; Author: Less Boring Lectures;https://www.youtube.com/watch?v=dsWQrzfQt3s;License: Standard Youtube License