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 4.31P
For Problems 4.30 through 4.36. itwould be helpful to use a least-squares software package, such as Polynomial Jit, Matlab, or spreadsheet software.
- The following relations exist between material flexural strength and grain size:
Flexural strength 65 63 67 64 68 62 70 66 68 67 69 71 jc (MPa)
Grain size,
68 66 68 65 69 66 68 65 71 67 68 70
y (nm)
Plot the linear relationship and estimate the standard error of the fit.
0.86, 0.83, 0.82, 0.84, 0.95, 0.87, 0.88, 0.89, 0.83, 0.85
Could any value be rejected using Chauvenet’s criterion?
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Temperature (°C)
1600
0
1500
1400
1300
1200
1100
1000
1085°C
0
(Cu)
1
20
20
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Brass
Steel
Composition (at% Ni)
40
Liquid
Liquidus line
Aluminum
Titanium
B
@x+L
60
CE
40
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Composition (wt% Ni)
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345 (50)
690 (100)
275 (40)
480 (70)
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2800
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Problem 5
A structural member 250 mm (10 in.) long
must be able to support a load of 44,400 N
(10,000 lb,) without experiencing any plas-
tic deformation. Given the following data
for brass, steel, aluminum, and titanium,
rank them from least to greatest weight in
accordance with these criteria.
2400
8.5
7.9
2.7
4.5
2200
2000
100
(Ni)
Density
(g/cm³)
Temperature (°F)
ne following data were collected from a standard 0.505-in. diameter test specimen of a copper alloy (initial
length (lo) 2.0 in.):
Load (b)) 0.0
3000
Al (in) 0.0 0.00167
(a) the 0.2% offset yield strength;
(b) the tensile strength;
(c) the modulus of elasticity:
6000
0.00333
(d) the % elongation;
(e) the % reduction in area;
After fracture, the total length was 3.014 in. and the diameter was 0.374 in. Plot the engineering stress-strain
curve and calculate.
10500 12000
9000
7500
0.26
0.040
0.00417 0.009
(1) the engineering stress at fracture; and
(g) the modulus of resilience..
12400 11400
1.02
0.50
ite.
led
sel.
2. Given the following data:
Weight of the crushed core sample in air: Wtdry = 20.0 gm:
Weight of the crushed core sample in water: Wtimm = 15.0gm
Density of water:pw = 1.0
gm
сс
Use Archimedes' Principle to calculate the grain volume of the sample.
Chapter 4 Solutions
Theory and Design for Mechanical Measurements
Ch. 4 - Prob. 4.1PCh. 4 - Prob. 4.2PCh. 4 - At a fixed operating setting, the pressure in a...Ch. 4 - Consider the toss of four coins. There are 24...Ch. 4 - As a game, slide a matchbook across a table,...Ch. 4 - Prob. 4.6PCh. 4 - A student conducts a lab exercise to calculate the...Ch. 4 - From a large database, the Highway Patrol...Ch. 4 - Prob. 4.9PCh. 4 - Prob. 4.10P
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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