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
Videos
Textbook Question
Chapter 1, Problem 15P
The lives of parts are often expressed as the number of cycles of operation that a specified percentage of a population will exceed before experiencing failure. The symbol L is used to designate this definition of life. Thus we can speak of L10 life as the number of cycles to failure exceeded by 90 percent of a population of parts. Given a normal distribution model, with a mean of
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Areas Under the Standard Normal Curve-The Values Were Generated Using the Standard Normal
Distribution Function of Excel
Note that the standard normal curve is symmetrical about the mean.
z
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.1
0.11
0.12
1
0.95
0.96
0.97
0.98
0.99
1.01
1.02
1.03
1.04
1.05
Mean - 0
1.06
1.07
1.08
1.09
A
0.0000
0.0040
0.0080
0.0120
0.0160
0.0199
0.0239
0.0279
0.0319
0.0359
0.0398
0.0438
0.0478
A
0.3186
0.3212
0.3238
0.3264
0.3289
0.3315
0.3340
0.3365
0.3389
Z
0.3413
0.3438
0.3461
0.3485
0.3508
0.3531
0.3554
0.3577
0.3599
0.3621
0.13
0.14
0.15
0.16
0.17
0.18
0.19
0.2
0.21
0.22
0.23
0.24
0.25
1.12
1.13
1.14
1.15
1.16
1.17
A
z
0.0517
0.0557
0.26
0.27
0.28
0.29
0.0596
0.0636
0.0675 0.3
0.0714 0.31
0.0753 0.32
0.0793 0.33
0.0832 0.34
0.0871 0.35
0.0910
0.0948
0.0987
1.18
1.19
1.2
1.21
1.22
1.23
1.24
1.25
1.26
1.27
1.28
A
0.3643
0.3665
0.3686
0.3708
0.3729
0.3749
0.3770
0.3790
0.3810
0.36
0.3830
0.3849
0.3869
0.3888
0.3907
0.3925
0.3944
0.3962
0.3980
0.3997
0.37…
Pressure distribution measurements are made on a two-dimensional wing model placed in a wind tunnel. The difference between the static pressure sockets on the surface and the static pressure of the free stream is measured. 30 data is taken at each measurement point. The average of the values measured from one of the sockets near the trailing edge was calculated as 2.30 Pa, and the standard deviation was calculated as 2.65 Pa. After applying the Chauvenet criterion to these measurement values, it was decided to eliminate 3 measurements and the new mean value was found to be 2.18 Pa and the standard deviation was 2.42. It was verified that the unexcluded data fit the normal distribution curve. Data above how many Pa and below how many Pa were eliminated? Estimate how many data have negative value (?<0) after elimination.
3. Examine your data in Data Table 2 and in Data Table 3. For the data with the smallest percentage
difference, compare the total energy at each point. Calculate the sum U₁+Ug at x₁ as ½kx-mgx₁.
Calculate that sum at x₂ as ½kx²-mgx₂. Do you expect them to agree reasonably well? Explain why
they should or should not be the same.
4. Consider the same data as used in Question 3. Calculate the value of x halfway between x₁ and x₂.
Calculate U₁+Ug=½kx² − mgx_for_that point. Do you expect them to agree with the energy
calculated in Question 3? If they agree reasonably well, explain why they do. If they do not agree,
explain why they do not agree.
Chapter 1 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 1 - Select a mechanical component from Part 3 of this...Ch. 1 - Select a mechanical component from Part 3 of this...Ch. 1 - Select an organization listed in Sec. 16, go to...Ch. 1 - Go to the Internet and connect to the NSPE website...Ch. 1 - Go to the Internet and connect to the NSPE website...Ch. 1 - Estimate how many times more expensive it is to...Ch. 1 - The costs to manufacture a part using methods A...Ch. 1 - A cylindrical part of diameter d is loaded by an...Ch. 1 - When one knows the true values x1 and x2 and has...Ch. 1 - Use the true values x1 = 7 and x2 = 8 (a)...
Ch. 1 - A solid circular rod of diameter d undergoes a...Ch. 1 - A fatigue test is performed on rotating beam...Ch. 1 - Determinations of the ultimate tensile strength...Ch. 1 - The lives of parts are often expressed as the...Ch. 1 - The tensile 0.2 percent offset yield strength of...Ch. 1 - A mechanical system comprises three subsystems in...Ch. 1 - From See. 3-12, the maximum shear stress in a...Ch. 1 - A round cold-drawn 1045 steel rod has a mean...Ch. 1 - A beam subjected to axial loading will experience...Ch. 1 - Three blocks A, B, and C and a grooved block D...Ch. 1 - The volume of a rectangular parallelepiped is...Ch. 1 - A pivot in a linkage has a pin in the figure whose...Ch. 1 - A circular cross section O ring has the dimensions...Ch. 1 - Prob. 25PCh. 1 - Prob. 26PCh. 1 - Prob. 27PCh. 1 - Prob. 28PCh. 1 - Convert the following to appropriate ips units:...Ch. 1 - Convert the following to appropriate SI units: (a)...Ch. 1 - Generally, final design results are rounded to or...Ch. 1 - Repeal Prob. 1-31 for the following: (a) = F/wt,...Ch. 1 - Repeat Prob. 131 for: (a) = F/A, where A = d2/4, F...
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 heat transfer conducted through material is calculated from the equation: Q = KX AXTD/L Where K: Conductivity of material A: Area of heat transfer TD: Temperature difference across material L: Thickness of material A student measures the area, thickness and temperature difference and assumes that the error in conductivity is negligible. The student also estimates the uncertainty range for each variable. In estimating the maximum possible value of Q, the student should use the following formula: A B Q max= K x A max x TD max / L max Q max= K x A max x TD max / L nom Q max= Q nominal + dQ/dLmin Q max= K x A max x TD max / L minarrow_forwardAs an engineer working for a water bottling company, you collect the following data in order to test the performance of the bottling systems. Assume normal distribution. Milliliters of Water in the Bottle Frequency 485 490 milliliters 495 500 505 510 515 What is the mean (in milliliters)? milliliters What is the standard deviation (in milliliters)? What is the z value corresponding to 490 milliliters? Z = 6 12 20 33 18 11 00 8arrow_forwardSectio A. The following are the weights in pounds of 10 pieces of balikbayan luggage: No. 3. 4 8. 9. 10 Wt. 124 125 125 123 124 127 125 126 121 120 Find the following measurements (two-decimal places): 4. Median: 1. Mean: 2. Sample standard deviation: 3. Range: 5. Mode:arrow_forward
- Q.49 A person operates a machine that makes capacitors. He has been advised to keep the track of the percentage defectives at his work center. He knows that this type of process, they expect about 4% defectives plus or minus some chance variation. He wishes to initially construct a control chart for defectives. He has prepared ten daily samples of hundred capacitors each. Sample No. 1 2 3456 789 10 % defectives 4 3 36 195 12 4 3 ) Construct the relevent control chart. What are upper and lower control limits?arrow_forwardPart 1 1. In a study of ground motion caused by earthquakes, the velocity (in m/s) and the acceleration (in) were recorded for five earthquakes. The results are presented in the following table and compute the variance and standard deviation of the acceleration of these samples and explain their meaning. Velocity 1.54 1.60 0.95 Acceleration 5.64 6.04 6.04 1.3 2.92 4.37 3.00arrow_forwardA small sample (N = 7) of the static coefficient of friction (µ) between two materials is measured with the following data set: 0.0043 0.0050 0.0053 0.0047 0.0031 0.0051 0.0049 Test the data for outliers. Determine the mean value and its confidence.arrow_forward
- Installation of a certain hardware takes a random amount of time with a standard deviation of 5 minutes. A computer technician installs this hardware on 64 different computers, with the average installation time of 42 minutes. Compute a 95% confidence interval for the mean installation time. (1 decimal place) Lower limit = || Upper limit =arrow_forwardQ.46 Robot Ltd. wishes to maintain enough safety stock during the lead time period between starting a new production run and its completion such that the probability of satisfying the customer demand during the lead time period is 95%. The lead time period is 5 days and daily customer demand can be assumed to follow the Gaussian (normal) distribution with mean 50 units and a standard deviation of 10 units. Using o-(0.95) = 1.64, where o represents the cumulative distribution function of the standard normal random variable, the amount of safety stock that must be maintained by Robot Ltd. to achieve this demand fulfilment probability for the lead time period is units. [Round off to two decimal places]arrow_forward2. An electrical firm manufactures light bulbs that have a lifetime that is approximately normally distributed with a standard deviation of 36 hours. A lifetime test of n=36 samples resulted in the sample average of 1510 hours. Assume the significance level of 0.05. (a) Test the hypothesis Ho: µ = 1000 versus H1: µ# 1000 using a p-value. (b) Test the hypothesis using critical region(s) approach. (c) Suppose that the true mean lifetime is 1510 hours. What is type Il error probability for this| two-sided test.arrow_forward
- The following data provide the time in months from hire to promotion to manager for a random sample of 25 software engineers from all software engineers employed by a large telecommunications firm. 5 7 229 453 12 14 18 14 14 483 22 21 25 23 24 34 37 34 49 64 47 67 69 192 125 Calculate the mean, variance, and standard deviation for this sample.arrow_forwardQ 1. The total mass of a variable density rod is given by P(1)A_(x) т where m = mass, p(x) = density, A.(r) = cross-sectional area, r = distance along the rod, and L = the total length of the rod. Determine the mass in grams to the best possible accuracy for the following data, measured for a 20m length rod. 8 10 12 14 16 18 20 P, g/cm³ 4.00 5.8 3.95 6.9 3.80 3.74 5.6 3.55 3.41 6.7 3.30 I, m 2 4 6 Ae, cm? 120 102| 103 116| 110 114 120 130 133 126 150arrow_forwardThe data shown in Table 1 are the deviations from nominal diameter for holes drilled in a carbon-fiber composite material used in aerospace manufacturing. The values reported are deviations from nominal in ten-thousandths of an inch. (a) Set up and R charts on the process. Is the process in statistical control? (b) Estimate the process standard deviation using the range method. (c) If specifications are at nominal ±100, what can you say about the capability of this process? Calculate the PCR Cp Table 1. Hole Diameter Data Sample Number X1 X2 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 -30 +50 0 -50 -10 -10 +20 -40 0 0 -30 0 +20 0 0 +70 0 +10 +40 +30 +30 +30 +10 0 +20 +50 +50 -20 +50 -60 +10 0 0 +20 +10 -20 -10 0 +20 X3 X4 X5 -30 +20 +30 +50 +40 +20 +30 +20 +30 +20 +30 0 +20 +10 +40 +10 +10 -10 +50 -10 -30 -10 +50 +40 0 +30 -10 0 +30 +30 -20 +50 +30 +10 +40 +20 0 +30 +10 +30 -20 +30 +30 +20 -20 +50 +20 +10 -40 +20 -20 -10 -10 0 -20 +10 +10 +50 0 +10arrow_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
Mod-01 Lec-16 Basics of Instrumentation; Author: nptelhrd;https://www.youtube.com/watch?v=qbKnW42ZM5c;License: Standard YouTube License, CC-BY