Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 5, Problem 5.29P
For a thin-walled pressure vessel of diameter D and wall thickness t subjected to an internal pressure p, the tangential stress is given by o = pDI2t. During one test, 10 measurements of pressure yielded a mean of 8610 lb/ft2 with a standard deviation of 273.1 lb/ft2. Cylinder dimensions are to be based on a set of 10 measurements which yielded: D = 6.2in. with sq =0.18 in. and / = 0.22 in. with s, = 0.04 in. Estimate the degrees of freedom in the standard uncertainty for stress. Determine the best estimate of stress at 95% confidence. Pressure measurements and dimensions have a systematic uncertainty of 1% of the reading assumed at 95% confidence.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Some engineering components have a mean length of 20 mm and a standard deviation of 0.25mm. Assume that the data on the lengths of the components is normally distributed. In a batch of 50 components, determine the number of components likely to:i) Have a length of less than 19.95mmii) Be between 19.95mm and 20.15 mmiii) Be longer than 20.54 mm
Bearing used in an automotive application has a nominal inside diameter of 3.81 is expected to be cm.A random sample of 25 bearings is selected andaverage inner diameter of bearing3.8037 cm. exists as. bearing inner diameter σ=0.03 cm Standard deviation of is known to be normally distributed. α=0.01 ;
a) Test whether the bearing used has a nominal inside diameter of 3.81 cm.
b) How to answer the question in part (a) by constructing a two-sided confidence interval on the mean diameter?explain that you can answer
Bearing used in an automotive application has a nominal inside diameter of 3.81 is expected to be cm.A random sample of 25 bearings is selected andaverage inner diameter of bearing3.8037 cm. exists as. bearing inner diameter σ=0.03 cm Standard deviation ofis known to be normally distributed. α=0.01 ;
a) Test whether the bearing used has a nominal inside diameter of 3.81 cm.
b) How to answer the question in part (a) by constructing a two-sided confidence interval on the mean diameter?explain that you can answer
note: can you write the solutions legibly.
Chapter 5 Solutions
Theory and Design for Mechanical Measurements
Ch. 5 - Prob. 5.1PCh. 5 - Explain what is meant by the terms “true value,"...Ch. 5 - SJ An official Olympics timekeeper once stated,...Ch. 5 - A tachometer has an analog display dial graduated...Ch. 5 - An automobile speedometer is graduated in 5-mph...Ch. 5 - An engineer reads the height of a mercury...Ch. 5 - Prob. 5.8PCh. 5 - Two resistors arc to be combined to form an...Ch. 5 - An equipment catalog boasts that a pressure...Ch. 5 - The shear modulus, G, of an alloy can be...
Ch. 5 - Heat transfer from a rod of diameter D immersed in...Ch. 5 - Estimate the design-stage uncertainty in...Ch. 5 - Explain the critical dift'erence(s) between a...Ch. 5 - A displacement transducer has the following...Ch. 5 - Prob. 5.18PCh. 5 - For a thin-walled pressure vessel of diameter D...Ch. 5 - Suppose a measured normal stress contains three...Ch. 5 - Prob. 5.31PCh. 5 - The area of a flat, rectangular parcel of land is...Ch. 5 - Estimate the random standard uncertainty in the...Ch. 5 - Estimate the uncertainty at 95% confidence in the...Ch. 5 - One use for a GPS rangefinder is on the golf...Ch. 5 - A pressure measuring system outputs a voltage that...Ch. 5 - The density of a metal composite is to be...Ch. 5 - A temperature measurement system is calibrated...Ch. 5 - The power usage of a strip heater is to be...Ch. 5 - The power usage of a DC strip heater can be...Ch. 5 - A thermocouple is a temperature sensor made of two...Ch. 5 - Time variations in a signal require that the...Ch. 5 - A hand-held infrared thermometer from a well-...Ch. 5 - The pressure in a large vessel is to be maintained...Ch. 5 - The cooling of a thermometer (c.g., Exs. 3.3 and...Ch. 5 - A J-type thermocouple monitors the temperature of...Ch. 5 - The density of air must be known to within 0.5%....Ch. 5 - In pneumatic conveying, solid particles such as...Ch. 5 - A step test is run to determine the time constant...Ch. 5 - The acceleration of a cart down a plane inclined...Ch. 5 - The heat flux in a reaction is estimated by Q =...Ch. 5 - A comparative test uses the relationship R =...Ch. 5 - A sensitive material is to be contained within a...Ch. 5 - A geometric stress concentration factor, K,, is...Ch. 5 - In Problem 5.9, we assumed that the errors in die...
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 volume of water in commercially supplied fresh drinking water containers is approximately normally distributed with mean 70 liters and standard deviation 0.75 liters. Estimate the proportion of containers likely to contain a) in excess of 70.9 liters, b) at most 68.2 liters, c) less than 70.5 liters.arrow_forwardTen measurements are taken resulting in a standard deviation of 0.10 s.a. Determine the uncertainty in the measurement.b. If an uncertainty one fifth the value found in a. is desired how many measurementswould be required (assume that the standard deviation with this number ofmeasurements is the same as with ten measurements).arrow_forwardIn a yogurt filling line, the containers are filled with yogurt. The producer uses a scale with anaccuracy of 1,8 percent of its range of 9 kg to measure the mass of each container in order to calculate theuncertainty in mass of the containers. 19 containers are selected at random and measured. The averagemass is 2 kg, and the standard deviation of the measurements is calculated to be 0,89 kg. Calculate the total uncertainty of the average mass of the containers at a 95 % confidence level.arrow_forward
- 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.arrow_forwardThe standard deviation of linear dimensions P and Q are 3 um and 4 um respectively. When assembled, the standard deviation in um of the resulting linear dimension P+Q will be,arrow_forwardMr. C studies the strength of the material used for a baseball bat, he knows that the strength is approximately normally distributed with a standard deviation of 175 psi. A random sample 30 specimens has a mean strength of 2,750 psi. a) What is the z-value when the mean strength is tested to be 3,000 psi, b) What will be the decision for the hypothesis testing with a=0.05 c) What is the minimum mean tensile strength needed from 30 samples, for the claim of 3,000 psi to be failed to rejected.arrow_forward
- Two soft drink machines dispense liquids of 10 ounces, on the average. The question is whether the two machines are equally consistent in the dispensing of the liquid. To answer this question, a sample of size 10 was obtained from each machine and the sample standard deviations were computed to be s1 = 1.87 ounces and s2 = 1.25 ounces. Perform the appropriate test of hypothesis using α = 0.05arrow_forwardMaterials of Interest: CuFeS, in a silica matrix, 1.5% Cu (4.3318% CuFeS,); Top Size = 1.5 cm; CuFeS, grain size = 0.01 cm Desired sampling accuracy: +0.02% Cu, certainty of 0.99 (2.576 standard deviations) CuFeS, specific gravity=4.2: Overall specific gravity 2.8 Broad size distribution. Determine the minimum sample weight (in grams) needed for testing.arrow_forwardTen replicate analysis of the concentration of mercury in a sample of commercial gas condensed to give the following results 23.3 , 22.5 , 21.9 , 21.5, 19.9 , 21.3 , 21.7 , 23.8 , 22.6 , 24.7 Calculate the mean, standard deviation, RSD and 99% confidence limitarrow_forward
- Q2. Given a set of data that measured a diameter of a tube d1 = 1.65 mm, d2 = 1.66 mm, d3 = 1.65 mm, d4 = 1.64 mm Determine the uncertainty of the diameterarrow_forwardDetermine the limits of sizes, tolerances and fundamental deviations for the shaft designated as 40 H8 / f7 use fundemental deviation for shaft f7, es=-5.5(D)0.41arrow_forwardcompute the 95 confidence intervals for the inventory of a series of 12 replication of the simulation of a system, where the VERAGE INVENtory is 1000 units and sample standard deviation is 38arrow_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
How to Measure Threads; Author: PracticalMachinist;https://www.youtube.com/watch?v=Uuy7EViS7Kc;License: Standard Youtube License