EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 10, Problem 7P
Perform Crout decomposition on
Then, multiply the resulting
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F1=4i+3j+6 k [kN] and F2 = 5 i-6j-5k [kN]. The coordinate direction angle of
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the resultant force with the X-axis is:
Determine the DE for: Straight lines at a fixed distance P from the origin.
a. (xy" – y)? = P²[1+ (y')²]
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b. (xy' – y)? = p2[1+ (y')²]
c. (xy' – y)3 = p3[1+ (y')³]
d. (xy" – y)3 = p³[1 + (y')³]
e. none of these
1. For the coordinates shown below given in meters [m]: A(5,25, -6), B(42,30, -20) and
C(-25, -47,63), and the magnitude of the force vector |F| = 97 N, determine:
a. The position vector 7
b. The magnitude of the position vector |F| [m]
c. The force vector F
d. The moment vector M
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e. The magnitude of the moment vector |M| [Nm]
y
C
B
2. For the simply supported beam shown below with dimensions x, = 72 in, d = 24 in, and
L = 120 in and external forces F, = 369 # and F2
forces RA [#] and Rg [#].
= 142 #, determine the reaction
F.
RA
Rp
Chapter 10 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 10 - 10.1 Use the rules of matrix multiplication to...Ch. 10 - 10.2 (a) Use naive Gauss elimination to decompose...Ch. 10 - 10.3 (a) Solve the following system of equations...Ch. 10 - 10.4 Solve the following system of equations using...Ch. 10 - Determine the total flops as a function of the...Ch. 10 - Use LU decomposition to determine the matrix...Ch. 10 - 10.7 Perform Crout decomposition on
Then,...Ch. 10 - The following system of equations is designed to...Ch. 10 - 10.9 Solve the following set of equations with LU...Ch. 10 - 10.10 (a) Determine the LU decomposition without...
Ch. 10 - Use the following LU decomposition to (a) compute...Ch. 10 - Determine Ae,A1,andAfor [A]=[82109131516] Scale...Ch. 10 - 10.13 Determine the Frobenius and the row-sum...Ch. 10 - 10.14 A matrix is defined as
Using the...Ch. 10 - 10.15 (a) Determine the condition number for the...Ch. 10 - 10.16 Determine the condition number based on the...Ch. 10 - Besides the Hilbert matrix, there are other...Ch. 10 - 10.18 Develop a user-friendly program for LU...Ch. 10 - Develop a user-friendly program for LU...Ch. 10 - Use iterative refinement techniques to improve...Ch. 10 - 10.21 Consider vectors:
Vector is...Ch. 10 - 10.22 Consider the following vectors:
Where is...Ch. 10 - 10.23 Let the function be defined on the interval ...Ch. 10 - 10.24 (a) Create a Hilbert matrix. This will be...Ch. 10 - Polynomial interpolation consists of determining...
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