# HW3 - ENED 1091 Homework#3 Due Week of February 6th at...

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ENED 1091: Homework #3 Due: Week of February 6 th at beginning of Recitation Problem 1 : Systems of Linear Equations Shown below is a diagram of a simple truss along with a free body diagram assuming the beams are all in compression. Equilibrium Equations for Joint 1: (a) Equilibrium Equations for Joint 2? Enter Equations below: Fx=0: F1cos(30)+F2cos(0)+H2 Fy=0: F1sin(30)+F2sin(0)+V2 (b) Equilibrium Equations for Joint 3? Enter Equations below: Fx=0: F2cos(180)+F3cos(120) Fy=0: V3+F3sin(120) (c) Enter the matrix equation below by completing the table: F1 F2 F3 V2 V3 H2 F1 0 -cos(30) 0 cos(60) 0 0 0 -sin(30) 0 -sin(60) 0 0 0 F2 1000 cos(30) cos(0) 0 0 0 1 * F3 = 0 Sin(30) sin(0) 0 1 0 0 V2 0 0 cos(180 ) cos(120 ) 0 0 0 V3 0

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0 0 sin(120) 0 1 0 H2 0 (d) Use MATLAB to solve for F1, F2, F2, V2, V3, and H. Use matrix math – not Symbolic Toolbox. MATLAB COMMANDS: >> A=[-cosd(30) 0 cosd(60) 0 0 0; -sind(30) 0 -sind(60) 0 0 0; cosd(30) cosd(0) 0 0 0 1;sind(30) sind(0) 0 1 0 0; 0 cosd(180) cosd(120) 0 0 0; 0 0 sind(120) 0 1 0]; >> b=[0; 1000; 0; 0; 0; 0]; >> x=inv(A)*b FORCES: F1 = -500.0000 F2 = 433.0127 F3 = -866.0254 V2 = 250.0000 V3 = 750.0000 H =0 Problem 2:
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