EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Textbook Question
Chapter 20, Problem 20P
A transportation engineering study was conducted to determine the proper design of bike lanes. Data were gathered on bikelane widths and average distance between bikes and passing cars. The data from nine streets are
Distance, m | 2.4 | 1.5 | 2.4 | 1.8 | 1.8 | 2.9 | 1.2 | 3 | 1.2 | |
Lane width, m | 2.9 | 2.1 | 2.3 | 2.1 | 1.8 | 2.7 | 1.5 | 2.9 | 1.5 |
(a) Plot these data.
(b) Fit a straight line to these data with linear regression. Add this line to the plot.
(c) If the minimum safe average distance between bikes and passing cars is considered to be 2 m, determine the corresponding minimum lane width.
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Report Sheet
FRICTIONAL FORCES
Data:
Total Mass (g)
Normal Force (N)
Static Friction (N)
Kinetic Friction (N)
120
1.35
aso
2.5
360
3.8
440
4.8
Include a graph of frictional force as a function of normal force with both data sets on
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Coefficient of kinetic friction:
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1. The cross section foresights at one station along a proposed highway are shown below. The
HI for these foresights is 970.61 ft. Plot the cross section elevation to scale.
5.2 4.8 6.6 5.9 7.0 8.1
24 + 00
50 22 0 12 30 50
2. The roadway subgrade elevation is 973.30 ft., the planned roadbed is 30-feet wide, with side
slopes of 2%:1. Plot the roadbed design elevations on the plot from problem 1, and find the
slope intercepts and the cross section area.
3. The cross section foresights for the next station are show below. They were observed from
the same instrument setup as in problem 1. The subgrade elevation is 972.30 ft. Use the same
roadbed width and side slopes from problem 2. Plot the cross section and the roadbed
elevations to scale, find the slope intercepts, and find the cross section area.
4.8
25 + 00
3.2 5.3
50 0 50
4. What is the volume of soil to be removed or added between stations 24 and 25?
Hint: To calculate volume of soil between stations 24+00 and 25+00
Use the…
Chapter 20 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 20 - 20.1 Perform the same computation as in Sec. 20.1,...Ch. 20 - You perform experiments and determine the...Ch. 20 - 20.3 It is known that the tensile strength of a...Ch. 20 - Prob. 4PCh. 20 - 20.5 The specific volume of a superheated steam is...Ch. 20 - Prob. 6PCh. 20 - In Alzheimers disease, the number of neurons in...Ch. 20 - 20.8 The following data were taken from a stirred...Ch. 20 - Prob. 9PCh. 20 - Concentration data were taken at 15 time points...
Ch. 20 - Prob. 11PCh. 20 - The molecular weight of a polymer can be...Ch. 20 - 20.13 On average, the surface area A of human...Ch. 20 - 20.14 Determine an equation to predict metabolism...Ch. 20 - 20.15 Human blood behaves as a Newtonian fluid...Ch. 20 - 20.16 Soft tissue follows an exponential...Ch. 20 - 20.17 The thickness of the retina changes during...Ch. 20 - 20.18 The data tabulated below were generated from...Ch. 20 - The shear stresses, in kilopascals (kPa), of nine...Ch. 20 - 20.20 A transportation engineering study was...Ch. 20 - The saturation concentration of dissolved oxygen...Ch. 20 - For the data in Table P20.21, use polynomial...Ch. 20 - 20.23 Use multiple linear regression to derive a...Ch. 20 - 20.24 As compared to the models from Probs. 20.22...Ch. 20 - 20.25 In water-resources engineering, the sizing...Ch. 20 - 20.26 The concentration of total phosphorus and...Ch. 20 - 20.27 The vertical stress under the corner of a...Ch. 20 - Three disease-carrying organisms decay...Ch. 20 - 20.29 The mast of a sailboat has a cross-sectional...Ch. 20 - 20.30 Enzymatic reactions are used extensively to...Ch. 20 - 20.31 Environmental engineers dealing with the...Ch. 20 - An environmental engineer has reported the data...Ch. 20 - The following model is frequently used in...Ch. 20 - 20.34 As a member of Engineers Without Borders,...Ch. 20 - 20.35 Perform the same computations as in Sec....Ch. 20 - 20.36 You measure the voltage drop V across a...Ch. 20 - Duplicate the computation for Prob. 20.36, but use...Ch. 20 - The current in a wire is measured with great...Ch. 20 - 20.39 The following data was taken from an...Ch. 20 - It is known that the voltage drop across an...Ch. 20 - Ohms law states that the voltage drop V across an...Ch. 20 - 20.42 Repeat Prob. 20.41 but determine the...Ch. 20 - 20.43 An experiment is performed to determine the...Ch. 20 - Bessel functions often arise in advanced...Ch. 20 - 20.45 The population of a small community on the...Ch. 20 - Based on Table 20.4, use linear and quadratic...Ch. 20 - 20.47 Reproduce Sec. 20.4, but develop an equation...Ch. 20 - 20.48 Dynamic viscosity of water is related to...Ch. 20 - 20.49 Hooke’s law, which holds when a spring is...Ch. 20 - 20.50 Repeat Prob. 20.49 but fit a power curve to...Ch. 20 - The distance required to stop an automobile...Ch. 20 - An experiment is performed to define the...Ch. 20 - The acceleration due to gravity at an altitude y...Ch. 20 - The creep rate is the time rate at which strain...Ch. 20 - 20.55 It is a common practice when examining a...Ch. 20 - The relationship between stress and the shear...Ch. 20 - The velocity u of air flowing past a flat surface...Ch. 20 - 20.58 Andrade’s equation has been proposed as a...Ch. 20 - Develop equations to fit the ideal specific heats...Ch. 20 - 20.60 Temperatures are measured at various points...Ch. 20 - 20.61 The data below were obtained from a creep...
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