EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 24, Problem 47P
Referring to the data from Problem 20.61, find the strain rate using finite difference methods. Use second-order accurate derivative approximations and plot your results. Looking at the graph, it is apparent that there is some experimental startup error. Find the mean and standard deviation of the strainrate after eliminating the data points representing the experimental startup error.
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Students have asked these similar questions
3. A strip of chicken skin was excised for mechanical testing in tension. The initial
dimension of the rectangular specimen was 30 mm long and 15 mm wide, with
average thickness of 3 mm. The mechanical testing was conducted at a rate of 5
mm/sec. The following data were obtained:
gauge length, mm
20
22
24.2
26.3
27.9
30.1
force, N
0
0.8
2.7
7.9
12.9
19.6
a. Calculate the engineering stresses and strain from the information given and
plot the stress-strain curve. Assume that 5 mm of the specimen length is
clamped by the testing grip at each end, such that the initial gauge length of
the specimen is 20 mm.
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
Chapter 24 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 24 - Perform the same computation as Sec. 24.1, but...Ch. 24 - 24.2 Repeat Prob. 24.1, but use Romberg...Ch. 24 - 24.3 Repeat Prob. 24.1, but use a two- and a...Ch. 24 - 24.4 Integration provides a means to compute how...Ch. 24 - Use numerical integration to compute how much mass...Ch. 24 - 24.6 Fick’s first diffusion law states...Ch. 24 - The following data were collected when a large oil...Ch. 24 - 24.8 You are interested in measuring the fluid...Ch. 24 - Prob. 10PCh. 24 - 24.11 Glaucoma is the second leading cause of...
Ch. 24 - One of your colleagues has designed a new...Ch. 24 - Video an giography is used to measure blood flow...Ch. 24 - 24.14 Perform the same computation as in Sec....Ch. 24 - Perform the same computation as in Sec. 24.2, but...Ch. 24 - 24.16 As in Sec. 24.2, compute F using the...Ch. 24 - Stream cross-sectional areas (A) are required for...Ch. 24 - 24.18 As described in Prob. 24.17, the...Ch. 24 - 24.21 A transportation engineering study requires...Ch. 24 - 24.22 A wind force distributed against the side of...Ch. 24 - 24.23 Water exerts pressure on the upstream ...Ch. 24 - 24.24 To estimate the size of a new dam, you have...Ch. 24 - The data listed in the following table gives...Ch. 24 - The heat flux q is the quantity of heat flowing...Ch. 24 - 24.27 The horizontal surface area of a lake at a...Ch. 24 - 24.28 Perform the same computation as in Sec....Ch. 24 - 24.29 Repeat Prob. 24.28, but use five...Ch. 24 - Repeat Prob. 24.28, but use Romberg integration to...Ch. 24 - Faradays law characterizes the voltage drop across...Ch. 24 - 24.32 Based on Faraday’s law (Prob. 24.31), use...Ch. 24 - Suppose that the current through a resistor is...Ch. 24 - If a capacitor initially holds no charge, the...Ch. 24 - 24.35 Perform the same computation as in Sec....Ch. 24 - 24.36 Repeat Prob. 24.35, but use (a) Simpson’s ...Ch. 24 - 24.37 Compute work as described in Sec. 24.4, but...Ch. 24 - As was done in Sec. 24.4, determine the work...Ch. 24 - 24.39 The work done on an object is equal to the...Ch. 24 - The rate of cooling of a body (Fig. P24.40) can be...Ch. 24 - 24.41 A rod subject to an axial load (Fig....Ch. 24 - If the velocity distribution of a fluid flowing...Ch. 24 - 24.43 Using the following data, calculate the work...Ch. 24 - 24.44 A jet fighter’s position on an aircraft...Ch. 24 - 24.45 Employ the multiple-application Simpson’s...Ch. 24 - The upward velocity of a rocket can be computed by...Ch. 24 - Referring to the data from Problem 20.61, find the...Ch. 24 - Fully developed flow moving through a 40-cm...Ch. 24 - Fully developed flow of a Bingham plasticfluid...Ch. 24 - 24.50 The enthalpy of a real gas is a ...Ch. 24 - Given the data below, find the isothermal work...Ch. 24 - 24.52 The Rosin-Rammler-Bennet (RRB) equation is...Ch. 24 - For fluid flow over a surface, the heat flux to...Ch. 24 - The pressure gradient for laminar flow through a...Ch. 24 - 24.55 Velocity data for air are collected at...
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