EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 15, Problem 15P
Develop an M-file to locate a minimum with the golden section search. Rather than using the standard stopping criteria (as in Fig. 13.5), determine the number of iterations needed to attain a desired tolerance.
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In a structural reliability problem, the resistance (capacity) R and load effect (demand) S random variables
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μs = 5, σs = 2
(a) Determine the exact probability of failure pF ·
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with marginal PDF's
1
fR (r) =
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fs(s)=0.05e-0.05s
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Chapter 15 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 15 - A company makes two types of products, A and B....Ch. 15 - Prob. 2PCh. 15 - 15.3 Consider the linear programming...Ch. 15 - 15.4 Consider the linear programming...Ch. 15 - Use a software package (for example, Excel,...Ch. 15 - 15.6 Use a software package (for example, Excel,...Ch. 15 - 15.7 Consider the following constrained nonlinear...Ch. 15 - Use a software package to determine the maximum of...Ch. 15 - Use a software package to determine the maximum of...Ch. 15 - Given the following function,...
Ch. 15 - You are asked to design a covered conical pit to...Ch. 15 - 15.12 An automobile company has two versions of...Ch. 15 - 15.13 Og is the leader of the surprisingly...Ch. 15 - 15.14 Develop an M-file that is expressly designed...Ch. 15 - 15.15 Develop an M-file to locate a minimum with...Ch. 15 - Develop an M-file to implement parabolic...Ch. 15 - 15.17 The length of the longest ladder that can...
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