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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Textbook Question
Chapter 7, Problem 7.37QP
Consider a standard flexural strength specimen of length L, width a, and depth a. Assume third point loading where the load at failure from the test machine is P, which is distributed evenly (1/2 to each) over the two loading points. Derive the equation for calculating the modulus of rupture of the beam in terms of P, L, and a.
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Determine the cracking moment of a rectangular concrete beam that is 18-inches tall and 6-inches wide. Take f’c as 5000 psi. Next, draw the normal stress distribution through the cross-section of the beam and label the minimum and maximum stresses on the normal stress distribution Diagram. What is the new moment of inertia (Ig) of the beam if during a flexure test, the tension face of the beam developed a 2-inch deep crack, but was quickly unloaded and did not completely fail?
Calculation:
For center Loading:
MR = 3PL / 2bd?
Where:
MR- modulus of rupture, psi (MPa)
P= maximum load applied as indicated by testing machine, in Ib (N)
L= span length, in inches (mm)
b= average width of specimen in inches (mm)
d= average depth of specimen, at the fracture, in inches (mm)
Note: The weight of the beam is not included in the above calculation.
Tabulated Data and Result
Sample No.
L (mm)
B (mm)
D (mm)
P (N)
MR (MPa)
1
450
150
150
23000
2
450
150
150
21000
3
450
150
150
19000
Calculation:
Compressive Strength (CS) = P/A
Where:
CS = compressive strength of the specimen, psi (KN/m²)
P = maximum load, Ib (KN)
A = cross-sectional area of the specimen, inches (m²)
Gross Area:
Tabulated Data and Result
Trial No.
b (m)
w (m)
A (m²)
P (kN)
CS (kN/m²)
1
0.4
0.15
0.06
150
2
0.4
0.15
0.06
180
3
0.4
0.15
0.06
140
Net Area:
Tabulated Data and Result
Trial No.
A (m²)
P (kN)
CS (kN/m2)
1
0.0296
150
0.0296
180
0.0296
140
Chapter 7 Solutions
Materials for Civil and Construction Engineers (4th Edition)
Ch. 7 - The design engineer specifies a concrete strength...Ch. 7 - A project specifies a concrete strength of 24.1...Ch. 7 - A project specifies a concrete strength of at...Ch. 7 - What is your recommendation for the maximum size...Ch. 7 - A concrete mix with a 3-in. slump, w/c ratio of...Ch. 7 - Prob. 7.6QPCh. 7 - You are working on a concrete mix design that...Ch. 7 - Design the concrete mix according to the following...Ch. 7 - Design the concrete mix according to the following...Ch. 7 - The design of a concrete mix requires 1173 kg/m3...
Ch. 7 - Prob. 7.11QPCh. 7 - Prob. 7.12QPCh. 7 - Students in the materials lab mixed concrete with...Ch. 7 - Students in the materials lab mixed concrete with...Ch. 7 - Why is it necessary to measure the air content of...Ch. 7 - What do we mean by curing concrete? What will...Ch. 7 - Discuss five different methods of concrete curing.Ch. 7 - Draw a graph showing the typical relation between...Ch. 7 - Why is extra water harmful to fresh concrete, but...Ch. 7 - Discuss the change in volume of concrete at early...Ch. 7 - Discuss the creep response of concrete structures....Ch. 7 - Prob. 7.22QPCh. 7 - On one graph, draw a sketch showing the typical...Ch. 7 - Using Figure 7.34, a. Determine the ultimate...Ch. 7 - Three concrete mixes with the same ingredients,...Ch. 7 - Three concrete mixes with the same ingredients,...Ch. 7 - Three 100 mm 200 mm concrete cylinders with water...Ch. 7 - Students in the materials class prepared three 4 ...Ch. 7 - Three 150 mm 300 mm concrete cylinders with water...Ch. 7 - Three 6 in. 12 in. concrete cylinders with water...Ch. 7 - A normal-weight concrete has an average...Ch. 7 - Discuss the significance of the compressive...Ch. 7 - What is the standard size of PCC specimens to be...Ch. 7 - Prob. 7.34QPCh. 7 - What is the purpose of performing the flexure test...Ch. 7 - What are the advantages of using a third-point...Ch. 7 - Consider a standard flexural strength specimen of...Ch. 7 - To evaluate the effect of a certain admixture on...Ch. 7 - To evaluate the effect of a certain admixture on...Ch. 7 - Prob. 7.40QPCh. 7 - Prob. 7.41QPCh. 7 - A normal-weight concrete has an average...Ch. 7 - Three batches of concrete were prepared using the...Ch. 7 - Three batches of concrete were prepared using the...Ch. 7 - Prob. 7.45QPCh. 7 - Prob. 7.46QPCh. 7 - Discuss two nondestructive tests to be performed...Ch. 7 - Discuss the concept of concrete maturity meters.Ch. 7 - Discuss four alternatives that increase the use...Ch. 7 - What is self-consolidating concrete? How are its...Ch. 7 - Prob. 7.51QPCh. 7 - Two 6 in. 12 in. concrete cylinders with randomly...Ch. 7 - Discuss the concept of high-performance concrete....Ch. 7 - Comparing PCC with mild steel, answer the...Ch. 7 - Prob. 7.55QP
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