Theory and Design for Mechanical Measurements
Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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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.

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What is the weight of a 5-kg substance in N, kN, kg·m/s², kgf, Ibm-ft/s², and lbf? The weight of a 5-kg substance in N is 49.05 N. The weight of a 5-kg substance in kN is KN. The weight of a 5-kg substance in kg·m/s² is 49.05 kg-m/s². The weight of a 5-kg substance in kgf is 5.0 kgf. The weight of a 5-kg substance in Ibm-ft/s² is 11.02 lbm-ft/s². The weight of a 5-kg substance in lbf is 11.023 lbf.

Chapter 5 Solutions

Theory and Design for Mechanical Measurements

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...
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