Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Textbook Question
Chapter 4, Problem 4.38P
Strength tests made on a batch of cold-drawn steel yield the following:
| Strength (MPa) | Occurrences |
| 421-480 | 4 |
| 481-540 | 8 |
| 541-600 | 12 |
| 601-660 | 6 |
Test the hypothesis that the data are a random sample that follows a normal distribution at the 5% level of significance.
Test the hypothesis that the data are a random sample that follows a normal distribution at the 5% level of significance.
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Students have asked these similar questions
A tensile test was performed to find the stress-strain curve of a metal sample.Here are the results
provided by the tensile testing machine.Suppose the results are free of errors.
Elongation, 0
AL (cm)
Applied
force , F(N)
4.086
5.448
2.724
6.81
1.362
55571.1
61710.1
52930.5
68018.1
39498.3
Additional information :
Lo : the length of the extensometer
Lo = 5.42 cm
A= 5.342
Questions :
a) At. Using the 0.2% yield strength method, calculate the tensile strength of the metal sample.
b) Find the modulus of resilience of the material under test.
c) Calculate the allowable load for an object made of this metal using the parameters following:
* Maximum stress: elastic limit
Cross section: 10 mm2
Safety factor (or margin): 7
Calculate numerically with a minimum of four decimal places.
Home work for tensile test
The following data was obtained from a tensile test on
135
Load (kN)
Extension (mm)
16
32
56
72
95
110
132
142
140
0.2
0.4
0.7
0.9
1.5
2.5
5.0
8.5
10.0
12.0
a specimen of 10mm diameter and gauge length 60mm.
Using the graph paper supplied, plot the load-extension
diagram and determine:
(1) The tensile strength
(2) 0.1% Proof Stress
(3) Young's Modulus for the specimen
During a tensile test of Aluminum alloy whose initial diameter was 0.505-in and gage
length was 2.0-in, the following data was recorded.
Load
Elongation
(in.)
Load
Elongation
(in.)
0.020
(1b)
|(Ib)
14 000
2 310
0.00220
14 400
0.025
4 640
0.00440
14 500
0.060
6 950
0.00660
14 600
0.080
9 290
0.00880
14 800
0.100
11 600
0.0110
14 600
0.120
12 600
0.0150
13 600 Fracture
a) Determine Stress and strain
b) Draw the stress strain diagram
c) Determine the following mechanical properties
1) Proportional limit,
2) Modulus of elasticity
3) Yield point
4) Ultimate strength
5) Rupture strength.
Chapter 4 Solutions
Theory and Design for Mechanical Measurements
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Ch. 4 - Prob. 4.11PCh. 4 - Prob. 4.12PCh. 4 - Prob. 4.13PCh. 4 - Prob. 4.14PCh. 4 - Prob. 4.15PCh. 4 - From 19 measurements of a pressure controller, the...Ch. 4 - From 19 measurements of a pressure controller, the...Ch. 4 - When the parameters of a population are known, the...Ch. 4 - A professor grades students on a normal curve. For...Ch. 4 - Prob. 4.20PCh. 4 - 4.21 An automotive manufacturer removes the...Ch. 4 - Prob. 4.22PCh. 4 - Prob. 4.23PCh. 4 - A sampling of 409 motor shafts from a very large...Ch. 4 - During the course of a motor test, the motor rpm...Ch. 4 - A baich of rivets is tested for shear strength. A...Ch. 4 - Three independent sets of data are collected front...Ch. 4 - Prob. 4.28PCh. 4 - 4.29 An engineer measures the diameter of 20 tubes...Ch. 4 - Prob. 4.30PCh. 4 - For Problems 4.30 through 4.36. itwould be helpful...Ch. 4 - For Problems 4.30 through 4.36. itwould be helpful...Ch. 4 - For Problems 4.30 through 4.36. itwould be helpful...Ch. 4 - Prob. 4.34PCh. 4 - Prob. 4.35PCh. 4 - Prob. 4.36PCh. 4 - A manufacturer of general aircraft dry vacuum...Ch. 4 - Strength tests made on a batch of cold-drawn steel...Ch. 4 - 4.39 Determine the one-sided 95 th-percentile of...Ch. 4 - 4.40 The manufacturer of an electrical fuse claims...Ch. 4 - How many independent random measurements of a...Ch. 4 - Based on 51 measurements of a time-dependent...Ch. 4 - 4.43 Estimate the probability with which an...Ch. 4 - Prob. 4.44PCh. 4 - Prob. 4.45PCh. 4 - Prob. 4.46PCh. 4 - Prob. 4.47PCh. 4 - 4.48 A cantilever is loaded at its tip. Tip...Ch. 4 - Prob. 4.49PCh. 4 - Prob. 4.50PCh. 4 - A transducer is used to indicate the pressure of a...Ch. 4 - An engineer takes water samples from 15 lakes in...Ch. 4 - A random sample of 51 aircraft rivets is taken...Ch. 4 - Prob. 4.54PCh. 4 - Estimate the p-value for N = 16. t = 1.798...
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