Foundation Design: Principles and Practices (3rd Edition)
3rd Edition
ISBN: 9780133411898
Author: Donald P. Coduto, William A. Kitch, Man-chu Ronald Yeung
Publisher: PEARSON
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Textbook Question
Chapter 2, Problem 2.6QPP
A simply supported beam has a length of 3 m and carries a distributed load with a mean of 5 kN/m and a COV of 0.2. Assuming the load is normally distributed, what are the mean and standard deviation of the maximum moment in the beam? What is the probability the maximum moment will exceed 7 kN-m?
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Students have asked these similar questions
Question 1: Consider a non-uniform 10m long cantilever beam, with flexural rigidity of EI(x)= 300/x+20 kNm2
a) What is the flexural rigidity at each end of the beam?
b) Calculate the deflection function for this beam under a uniform distributed load of 10N/m over the whole beam.
Question 2: Consider a uniform 10m long beam, with flexural rigidity of 12,000Nm2 that has a fixed supports on both ends.
A weight is hung under the beam—attached via cable at the x = 3 point—applying a downward force of 200 N . At the same time a winch is connected to the beam—via a cable attached at the x = 7 point—pulling upward with a force of 200N.
a) What load function, f(x), represents this load?
b) Calculate the deflection function for the beam.
c) Include a picture of the beam when it is under load.
Question 3: Consider a non-uniform cantilever beam that is 1 m long and whose flexural
rigidity is given by the function EI(x) = 30/x+2 kNm2.
a) Calculate the influence function (a.k.a., “Green’s…
A simple beam AB with a total length of 2.40 meters is subjected to a trapezoidal distributed load. The intensity of the load varies from 1.00 kN/m at support A to 3.00 kN/m at support B.
What is the reaction at support A and B.What is the resultant applied load?What is the degree of shear-force equation?What is the value of shear force at x = 2.00 m from support A?What is the distance of absolute maximum bending moment from support B?What is the value of bending moment at x = 2.35m?What is the value of absolute maximum bending moment? What is the value of shear force at x = 1.80 m?
4) A trailer and truck combination having the axle loads as shown in the
figure rolls across
a simply supported beam with a span of 13.2
meters.
a) Determine the maximum shear force in the beam
Answer:
b) Determine the maximum bending moment in the beam
Answer:
10 kN
40 kN
30 kN
2m
4m
13.2m
Chapter 2 Solutions
Foundation Design: Principles and Practices (3rd Edition)
Ch. 2 - Classify the uncertainty associated with the...Ch. 2 - Figure 2.1 shows the PDF for a normal distribution...Ch. 2 - List three sources of epistemic uncertainty...Ch. 2 - Using a random number generator create a sample of...Ch. 2 - A certain column will carry a dead load estimated...Ch. 2 - A simply supported beam has a length of 3 m and...Ch. 2 - Using the data shown in Figure 2.5 determine the...Ch. 2 - The capacity for a certain foundation system is...Ch. 2 - We wish to design a shallow foundation with a...Ch. 2 - Prob. 2.10QPP
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