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
Concept explainers
Videos
Textbook Question
Chapter 7, Problem 3P
The rotating solid steel shaft is simply supported by bearings at points B and C and is driven by a gear (not shown) which meshes with the spur gear at D. which has a 150-mm pitch diameter. The force F from the drive gear acts at a pressure angle of 20°. The shaft transmits a torque to point A of TA = 340 N · m. The shaft is machined from steel with Sy = 420 MPa and Sut = 560 MPa. Using a factor of safety of 2.5, determine the minimum allowable diameter of the 250-mm section of the shaft based on (a) a static yield analysis using the distortion energy theory and (b) a fatigue-failure analysis. Assume sharp fillet radii at the bearing shoulders for estimating stress-concentration factors.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
The rotating solid steel shaft is simply supported by bearings at points B and C and is driven
by a gear (not shown) which meshes with the spur gear at D, which has a 140-mm pitch diameter.
The force F from the drive gear acts at a pressure angle of 20°. The shaft transmits a torque to point A
of TA = 260 N-m. The shaft is machined from steel with Sy = 400 MPa and Sut = 560 MPa. Assume factor
of safety and all other factors as (one) 1,.
Determine the minimum allowable diameter of the 100-mm section of the shaft for infinite life
(selectec criter sould be written at the begining of the solution)
250 mm
100 mm
20
mecha
The rotating solid steel shaft is simply supported by bearings at points B and C
and is driven by a gear (not shown) which meshes with the spur gear at D, which
250 mm
has a 150 mm pitch diameter. The force F from the drive gear acts at a pressure
angle of 20°. The shaft transmits a torque to point A of T = 340 N. m. The shaft
100 mm
is machined from steel with S, = 420 MPa. Using a factor of safety of 2.5,
determine the minimum allowable diameter of the 250 mm section of the shaft
based on a static yield analysis using the distortion energy theory and maximum
shear stress theory.
Chapter 7 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 7 - A shaft is loaded in bending and torsion such that...Ch. 7 - The section of shaft shown in the figure is to be...Ch. 7 - The rotating solid steel shaft is simply supported...Ch. 7 - A geared industrial roll shown in the figure is...Ch. 7 - Design a shaft for the situation of the industrial...Ch. 7 - The figure shows a proposed design for the...Ch. 7 - For the problem specified in the table, build upon...Ch. 7 - Prob. 8PCh. 7 - For the problem specified in the table, build upon...Ch. 7 - For the problem specified in the table, build upon...
Ch. 7 - In the figure is a proposed shaft design to be...Ch. 7 - The shaft shown in the figure is proposed for the...Ch. 7 - Prob. 20PCh. 7 - The shaft shown in the figure is proposed for the...Ch. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - A 25-mm-diameter uniform steel shaft is 600 mm...Ch. 7 - Prob. 29PCh. 7 - Compare Eq. (727) for the angular frequency of a...Ch. 7 - Prob. 31PCh. 7 - The steel shaft shown in the figure carries a...Ch. 7 - A transverse drilled and reamed hole can be used...Ch. 7 - Prob. 34PCh. 7 - The shaft shown in Prob. 721 is proposed for the...Ch. 7 - A guide pin is required to align the assembly of a...Ch. 7 - Prob. 37PCh. 7 - Prob. 38PCh. 7 - Prob. 39PCh. 7 - A ball bearing has been selected with the bore...Ch. 7 - Prob. 41PCh. 7 - A gear and shaft with nominal diameter of 35 mm...
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
- PROBLEM 1. The shafts are made of A-36 steel and both have 100 mm diameter. If a torque of 60 kN.m is applied to end E and 25 kN.m to the D gear as shown in the figure, determine the angle of twist of the section at E of the DE shaft. 0.75 m 0.75 m A B 150 mm 25 kN-m 300 mm 60 kN.m 1.25 m Earrow_forwardPlease don't provide handwritten solution ......arrow_forwardSolve correctly will upvotearrow_forward
- The shafts are made of steel with shear modulus of 75 GPa. Determine the angle of twist of gear B if a torque of 30 kN·m is applied to gear B. Both shafts have the same diameter of 90 mm. (Hint: for the meshing cylindrical gears, i.e. gear C and D, the angle of twist need to time the radius of the gear while applying the equation of compatibility.)arrow_forwardIn the gear system shown, the motor applies a 190 lb-ft torque to the gear at A. A torque of Tc = 392 lb-ft is removed from the shaft at gear C, and the remaining torque is removed at gear D. Assume that DA-4-in.-diameter, Dg=12-in.-diameter, L₁=56 in., and L₂-30 in. Segments (1) and (2) are solid 1.5-in.-diameter steel [G = 12200 ksi] shafts, and the bearings shown allow free rotation of the shaft. Determine: (a) the maximum shear stresses T₁, T₂ in segments (1) and (2) of the shaft. (b) the rotation angle D/B of gear D relative to gear B. Answers: (a) T₁ (b) D/B = = i ᎠᏴ ; A DA i B L₁ Tc amala ksi, T₂ = L2 i Tp D ksi.arrow_forwardThe shafts are made of steel with shear modulus of 75 GPa. Determine the angle of twist of gear B if a torque of 25 kN·m is applied to gear B. Both shafts have the same diameter of 100 mm. (Hint: for the meshing cylindrical gears, i.e. gear C and D, the angle of twist need to time the radius of the gear while applying the equation of compatibility.)arrow_forward
- Calculate the angle of twist at point A. A for the following diagrammed problem. There is a 1600 lb-in torque T applied at A. Shaft AB is 12 in. long, and shaft CD is 8 in. long. Gear B has 8 in. diameter, and Gear C has 5 in. diameter. Both shafts have diameter 1 in. Assume that there is no slip between the gears, and that all components are made of steel with shear modulus G-29 × 10° psi. TA = 1600 lb in A 12 in B C 8 in Darrow_forwardA steel shaft ABCD having a total length of 3.5 m consists of three lengths having different sections as follows: AB is hollow having outside and inside diameters of 100 mm and 62.5 mm respectively, and BC and CD are solid. BC has a diameter of 100 mm and CD has a diameter of 87.5 mm. If the angle of twist is the same for each section, Calculate the length of each section, l1, l2 and l3. Analyse the value of the applied torque and the total angle of twist, if the maximum shear stress in the hollow portion is PP MPa and shear modulus, G = QQ GPa. PP=75MPA Please refer appendix for PP and QQ values. QQ=88GPA в C D 62.5 mm 100 mm 100 mm 87.5 mm 13 3.5 marrow_forwardShafts ab and ce are support by pillow bearing blocks as shown. Compute the angle of twist at point a. Report your answer in degrees to two decimal places. 35 in A Y bearing bearing gear c: radius 2.0 in 2 in-k gear b: shaft ab: shaft ce: radius 5.0 in b a radius 0.5 in 5 in-k radius = 0.7 in d. bearing e bearing all shafts: G = 12000 ksi 25 in 30 inarrow_forward
- Consider two steel shafts CFG and HJ of diameters 50 mm and 70 mm respectively as shown in fig. The shaft CFG is supported at two bearings, while shaft HJ is fixed at 'H' and supported by bearings at 'J. Determine the torques T 1 and T 2 if the twisting at gears C and G is required to be 0.05 rad. Take E=205GPA, G=70GPA 600 mm 75mm 600 mm 50mm 800mm G. T2arrow_forwardFor the shaft shown in the figure below, compute the angle of twist of pulleys B and C relative to A. The steel shaft has a diameter of 35 mm throughout its length. The torques are T1= 1500 N · m, T2 = 1000 N · m, = 500 N · m. The lengths are L, = 500 mm, L2 = 800 mm. T3 L2 T |T2 T3 A C B.arrow_forwardA motor driving a solid circular steel shaft transmits 85 horsepower to a gear at point B (see sketch below). The allowable shear stress in the steel shaft is 6000 pounds per square inch. Determine: The minimum diameter d of the shaft if the shaft is operated at 1350 rpm (revolutions per minute). If the shaft transmits the same power (85 horsepower) at 3500 rpm, will the shaft diameter be larger or smaller than the required diameter of part 1.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
Power Transmission; Author: Terry Brown Mechanical Engineering;https://www.youtube.com/watch?v=YVm4LNVp1vA;License: Standard Youtube License