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categoryهندسة مدنية
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
4.32 The axial force F, in each of the 13-member pin-
connected truss, shown in the figure, can be calculated
by solving the following system of 13 equations:
F2+0.707F10, F3-0.707 F-2000 = 0
0.7071F+F4+ 6229 = 0,
-F4-0.753 FS-6000,-F3-0.659 F5 + F₁ = 0
0.753 F + F = 0,
-F2+0.659 F,+F6-0
-F6+0.659F9+ F10 = 0
8 m
1800 N 600 N
800 N 600 N
©
(3)
©
A
7m 7m
8m
2000 N
-F-0.753 F9-800-0, -F7-0.659 F, + F11 - 0
=
0.753 F,+F12-24290, -F10+ 0.707F13 = 0
-F12-0.7071F13-600 = 0
(a) Solve the system of equations using the user-defined function Gauss Pivot Large developed in
Problem 4.21.
(b) Solve the system of equations using Gauss-Seidel iteration. Does the solution converge for a starting
(guess) vector whose elements are all zero?
(c) Solve the system of equations using MATLAB's left division operation.
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