EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 11, Problem 23P
In Sec. 9.2.1, we determined the number of operations required for Gauss elimination without partial pivoting. Make a similar determination for the Thomas algorithm (Fig. 11.2). Develop a plot of operations versus n (from 2 to 20) for both techniques.
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Water is the working fluid in an ideal Rankine cycle. Saturated vapor enters the turbine at 12 MPa, and the
condenser pressure is 8 kPa. The mass flow rate of steam entering the turbine is 50 kg/s.
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4. The figure below shows a bent pipe with the external loading FA
228 lb, and M₁ = M₂ = 1 kip-ft. The force Fernal loading FA = 300 lb, FB:
parallel to the y-axis, and
and yc = 60°.
= 125 lb, Fc
=
acts parallel to the x-z plane, the force FB acts
Cartesian resultan Coordinate direction angles of Fc are ac = 120°, ẞc = 45°,
a. Compute the resultant force vector of the given external loading and express it in
EST
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and express it in Cartesian vector form. Use the vector method while computing the
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k
ghoufran@buffaternal du
2 ft
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A
40°
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M2
C
18 in
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Fc
25
houfran@bald.edu - Feb 19,
3 ft
FB
Chapter 11 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 11 - 11.1 Perform the same calculations as in (a)...Ch. 11 - Determine the matrix inverse for Example 11.1...Ch. 11 - 11.3 The following tridiagonal system must be...Ch. 11 - 11.4 Confirm the validity of the Cholesky...Ch. 11 - Perform the same calculations as in Example 11.2,...Ch. 11 - Perform a Cholesky decomposition of the following...Ch. 11 - Compute the Cholesky decomposition of...Ch. 11 - Use the Gauss-Seidel method to solve the...Ch. 11 - Recall from Prob. 10.8, that the following system...Ch. 11 - 11.10 Repeat Prob. 11.9, but use Jacobi...
Ch. 11 - 11.11 Use the Gauss-Seidel method to solve the...Ch. 11 - Use the Gauss-Seidel method (a) without relaxation...Ch. 11 - 11.13 Use the Gauss-Seidel method (a) without...Ch. 11 - Redraw Fig. 11.5 for the case where the slopes of...Ch. 11 - 11.15 Of the following three sets of linear...Ch. 11 - Use the software package of your choice to obtain...Ch. 11 - Given the pair of nonlinear simultaneous...Ch. 11 - An electronics company produces transistors,...Ch. 11 - Use MATLAB or Mathcad software to determine the...Ch. 11 - Repeat Prob. 11.19. but for the case of a...Ch. 11 - 11.21 Given a square matrix , write a single line...Ch. 11 - Write the following set of equations in matrix...Ch. 11 - In Sec. 9.2.1, we determined the number of...Ch. 11 - 11.24 Develop a user-friendly program in either a...Ch. 11 - 11.25 Develop a user-friendly program in either a...Ch. 11 - Develop a user-friendly program in either a...Ch. 11 - As described in Sec. PT3.1.2, linear algebraic...Ch. 11 - A pentadiagonal system with a bandwidth of five...
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