Project Problem 3
here is my current code (unfinished)
% Analysis of the Structure using the SLope Deflection Method
% Inputs Values
w= 30 % KN/m
I = 1 % Moment of Interia not given so value of one is used
E = 1 % Youngs Modulus not given so value of one is used
% Fixed End Moments (FEM)
(FEM)ad = -(w*Lad^2)/20
(FEM)da = (w*Lad^2)/20
(FEM)dc = 0
(FEM)cd = 0
(FEM)cb = 0
(FEM)bc = 0
%Length of each member
Lad = 3
Ldc = 3
Lcb = 3
%Moment of Inertia in the sections of the beams
Iad = 1
Idc = 1
Icb = 1
% Stiffness factor in each member
Kad = (Iad)/Lad
Kdc = Idc/Ldc
Kcb = Icb/Lcb
% Angular disp calculation
ThetaA = [2*E*Kad,0,1,zeros(1,4);-2*E*Kda,-2*E*Kda,zeros(1,3);-2*E*Kda,-4*E*Kbd,0,0,1,0,0;-2*E*Kcb,zeros(1,4),1,0;-2*E*Kbc,zeros(1,5),1;0,0,1,1,0,1,0; zeros(1,4),1,0,0]
ThetaB = [(FEM)ad;(FEM)da;(FEM)dc,(FEM)cd;(FEM)cb;(FEM)bc]
F = ThetaA/ThetaB
% Equalibrum Equations are
% Mdc + Mda = 0
% Mcd + Mcb = 0
% Use above Equilibrium Equations to find the angles and the delta
ThetaC= 261/(56*E*I)
ThetaD = 9/(56*E*I)
Delta = 153/(56*E*I)
%Angular disp and moments
fprintf('Angular displacement at C
% Equations for End moments are then calculated, and substitution of Mdc,Mda,Mcd, and Mcb into equations it was done on paper
%Mad = -25.93
%Mda = -3.321
%Mdc = 3.321
%Mcd = 6.321
%Mbc = 9.43
%Mcb = 6.321
8 years ago
1