EBK FOUNDATION DESIGN
3rd Edition
ISBN: 9780133424478
Author: CODUTO
Publisher: YUZU
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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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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…
An 8-m simply supported beam carries a concentrated load of 40 kN at a
distance of 3.25 m from the left support. How far (m) from the left
support is the location of the maximum deflection? The flexural rigidity
EI is equal to 10000 kN-m2. Enter a positive value. Just indicate the
direction of the deflection in your solution.
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Chapter 2 Solutions
EBK FOUNDATION DESIGN
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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