2) A truss is a structure made of members 1800 joined at their ends. For the tru

Question

2) A truss is a structure made of members 1800 joined at their ends. For the truss- shown in the figure, the forces in the nine members are determined by sol ing the following system of nine equa F+ co(4881- sin(48.81")F, +5-0 -cos(48.81.)F, + F,-0 -si(48.81 +-1800, F-00s(48.81°)Fs -1200, -F-sio(48.81F-sin(45) - 0,(4-1500, Write the equations in matrix form and use MATLAB to deternine the forces in the members. A positive force means tensile force and a negative force means compressive force. Display the results in a table where the first colum displays the member number and the second column displays the corespond- ing force 3)

Explanation / Answer

M-File:

clear, clc

T=[cosd(48.81) 1 0 0 0 0 0 0 0

0 -1 0 0 cosd(48.81) 1 0 0 0

0 0 1 0 sind(48.81) 0 0 0 0

-cosd(48.81) 0 0 1 0 0 0 0 0

-sind(48.84) 0 -1 0 0 0 0 0 0

0 0 0 -1 -cosd(48.81) 0 0 0 0

0 0 0 0 -sind(48.81) 0 -1 0 -sind(45)

0 0 0 0 0 0 0 0 sind(45)

0 0 0 0 0 0 0 -1 -cosd(45)];

A=[0; 0; 0; 0; 1800; 1200; 0; 1500; 0];

N=1:9;

F=TA;

tb1=[N;F'];

disp(' ')

disp(' Member Force')

disp(' No. 1bf')

fprintf(' %1i %7.1f ',tb1)

In Command Window

Member no. force 1bf 1 -2106.6 2 1387.3 3 -214.0 4 -1387.3 5 284.4 6 1200.0 7 -1714.0 8 -1500.0 9 2121.3

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