Materials for Civil and Construction Engineers (4th Edition)
4th Edition
ISBN: 9780134320533
Author: Michael S. Mamlouk, John P. Zaniewski
Publisher: PEARSON
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Chapter 1, Problem 1.48QP
(a)
To determine
Find the mean, standard deviation, and the coefficient of variation of the data.
(b)
To determine
To create a control chart for the given data in spreadsheet and provide comments.
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During construction of the surface layer of asphalt pavement, two samples
were taken every day to measure the asphalt content in the mix to ensure that
it is within the specification limits. The target value was set at 5.5% with
a tolerance of ±0.4%. The asphalt content data shown in Table P1.41 were
collected:
a. Calculate the mean, standard deviation, and the coefficient of variation of
the data.
b. Using a spreadsheet program, create a control chart for these data show-
ing the target value and the upper and lower specification limits. Are the
asphalt content data within the specification limits? Comment on any
trend and possible reasons.
TABLE P1.41
Date
Asphalt Content, %
Date
Asphalt Content, %
Oct. 15
Oct. 15
Oct. 16
Oct. 16
Oct. 17
Oct. 17
Oct. 18
Oct. 20
Oct. 20
Oct. 21
Oct. 21
Oct. 22
5.7
5.3
5.8
5.6
5.3
5.8
5.4
5.1
5.7
5.8
5.7
Oct. 22
5.9
5.6
Oct. 23
5.1
Oct. 18
5.8
Oct. 23
6.2
Oct. 19
5.4
Oct. 24
5.2
Oct. 19
5.5
Oct. 24
4.8
The following data are recorded from a Bending Beam Rheometer test on asphalt binder:• Test temperature = - 1 8.0°C• Beam width = 12.70 mm• Beam Thickness = 6.35 mm• Distance between beam support = 102 mm.
Assuming the load and length of the beam are constants throughout the test:a) Plot the relationship between deflection and time.b) Plot the relationship between stiffness S(t) and time (t) on a logarithmic scale.c) Fit a second degree polynomial regression equation to the Log(S(t)) Vs. Log(t)relationship established in part (b) above.d) Use the regression equation to find the rate at which the creep stiffness changes withloading (m(t)) at the time increments shown in the above table.e) Demonstrate whether this asphalt meets the Superpave requirements for low temperaturecracking or not.
Please show all work and explanation
In a Marshall test, the percentage of asphalt binder by total weight of aggregate is 5.0%. The bulk specifc gravity of aggregate (G3)=2.624, the specifc gravity of asphalt binder (G)=1.000, and the density of water (Y)=1.000 g/cm³. If the absorbed asphalt (Pa) is 2.00% by total weight of aggregate, and the voids in total mixture (VTM) is 4.0%, determine the following properties:
a. The effective asphalt content (Pbe)
b. The bulk specifc gravity of the compacted mixture (Gmb)
c. The voids in mineral aggregate (VMA)
d. The theoretical maximum specifc gravity of the loose mixture (Gmm)
e. The voids flled with asphalt (VFA)
f. The effective specifc gravity of aggregate solids (G)
Chapter 1 Solutions
Materials for Civil and Construction Engineers (4th Edition)
Ch. 1 - State three examples of a static load application...Ch. 1 - A material has the stressstrain behavior shown in...Ch. 1 - A tensile load of 50.000 lb is applied to a metal...Ch. 1 - A tensile load of 190 kN is applied to a round...Ch. 1 - A cylinder with a 6.0 in. diameter and 12.0 in....Ch. 1 - A metal rod with 0.5 inch diameter is subjected to...Ch. 1 - A rectangular block of aluminum 30 mm 60 mm 90...Ch. 1 - A plastic cube with a 4 in. 4 in. 4 in. is...Ch. 1 - A material has a stressstrain relationship that...Ch. 1 - On a graph, show the stressstrain relationship...
Ch. 1 - The rectangular block shown in Figure P1.11 is...Ch. 1 - The rectangular metal block shown in Figure P1.11...Ch. 1 - A cylindrical rod with a length of 380 mm and a...Ch. 1 - A cylindrical rod with a radius of 0.3 in. and a...Ch. 1 - A cylindrical rod with a diameter of 15.24 mm and...Ch. 1 - The stressstrain relationship shown in Figure...Ch. 1 - A tension test performed on a metal specimen to...Ch. 1 - An alloy has a yield strength of 41 ksi, a tensile...Ch. 1 - Prob. 1.21QPCh. 1 - Figure P1.22 shows (i) elasticperfectly plastic...Ch. 1 - An elastoplastic material with strain hardening...Ch. 1 - A brace alloy rod having a cross sectional area of...Ch. 1 - A brass alloy rod having a cross sectional area of...Ch. 1 - A copper rod with a diameter of 19 mm, modulus of...Ch. 1 - A copper rod with a diameter of 0.5 in., modulus...Ch. 1 - Define the following material behavior and provide...Ch. 1 - An asphalt concrete cylindrical specimen with a...Ch. 1 - What are the differences between modulus of...Ch. 1 - Prob. 1.33QPCh. 1 - A metal rod having a diameter of 10 mm is...Ch. 1 - What is the factor of safety? On what basis is its...Ch. 1 - Prob. 1.36QPCh. 1 - Prob. 1.37QPCh. 1 - A steel rod, which is free to move, has a length...Ch. 1 - In Problem 1.38, if the rod is snugly fitted...Ch. 1 - A 4-m-long steel plate with a rectangular cross...Ch. 1 - Estimate the tensile strength required to prevent...Ch. 1 - Prob. 1.42QPCh. 1 - Briefly discuss the variability of construction...Ch. 1 - In order to evaluate the properties of a material,...Ch. 1 - A contractor claims that the mean compressive...Ch. 1 - A contractor claims that the mean compressive...Ch. 1 - Prob. 1.47QPCh. 1 - Prob. 1.48QPCh. 1 - Prob. 1.49QPCh. 1 - Briefly discuss the concept behind each of the...Ch. 1 - Referring to the dial gauge shown in Figure P1.51,...Ch. 1 - Repeat Problem 1.51 using the dial gauge shown in...Ch. 1 - Measurements should be reported to the nearest...Ch. 1 - During calibration of an LVDT, the data shown in...Ch. 1 - During calibration of an LVDT, the data shown in...
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