A truss is a structure made of members joined at their ends. For the truss shown in the figure, the forces in the nine mem- bers are determined by solving the fol- lowing system of nine equations. -cos (45°)F₁ + F4 = 0 -F3sin(45°)F₁ = 0 -F2+ sin(45°)F5 + F6 = 0 48 ft 600 lb 1800 lb 14800 lb |48 ft | 42 ft | 42 | -cos(48.81°)F5 - F₁ + F8 = 0, -sin(48.81°)F5-F7 = 600 -sin(48.81°)F, = 1800, -F- cos(48.81°) F₁ = 0, F+sin(48.81)F, = 4800, cos(48.81°) F9 - F6 = 0 Write the equations in matrix form and use MATLAB to determine the forces in the members. A positive force means tensile force and a negative force means compressive force. Display the results in a table.

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter7: Arrays
Section7.5: Case Studies
Problem 15E
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Solve the following using Matlab.

 

A truss is a structure made of members
joined at their ends. For the truss shown
in the figure, the forces in the nine mem-
bers are determined by solving the fol-
lowing system of nine equations.
-cos (45°)F₁ + F4 = 0
-F3sin(45°)F₁ = 0
-F2+ sin(45°)F5 + F6 = 0
48 ft
600 lb
1800 lb
14800 lb
|48 ft
| 42 ft | 42 |
-cos(48.81°)F5 - F₁ + F8 = 0, -sin(48.81°)F5-F7 = 600
-sin(48.81°)F, = 1800, -F- cos(48.81°) F₁ = 0,
F+sin(48.81)F,
=
4800, cos(48.81°) F9 - F6 = 0
Write the equations in matrix form and use MATLAB to determine the forces
in the members. A positive force means tensile force and a negative force
means compressive force. Display the results in a table.
Transcribed Image Text:A truss is a structure made of members joined at their ends. For the truss shown in the figure, the forces in the nine mem- bers are determined by solving the fol- lowing system of nine equations. -cos (45°)F₁ + F4 = 0 -F3sin(45°)F₁ = 0 -F2+ sin(45°)F5 + F6 = 0 48 ft 600 lb 1800 lb 14800 lb |48 ft | 42 ft | 42 | -cos(48.81°)F5 - F₁ + F8 = 0, -sin(48.81°)F5-F7 = 600 -sin(48.81°)F, = 1800, -F- cos(48.81°) F₁ = 0, F+sin(48.81)F, = 4800, cos(48.81°) F9 - F6 = 0 Write the equations in matrix form and use MATLAB to determine the forces in the members. A positive force means tensile force and a negative force means compressive force. Display the results in a table.
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