-
Notifications
You must be signed in to change notification settings - Fork 1
/
MD_computeMemberFEFs_2ndnode_MyMz_release.m
52 lines (42 loc) · 1.51 KB
/
MD_computeMemberFEFs_2ndnode_MyMz_release.m
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
function memberlocalFEF = MD_computeMemberFEFs_2ndnode_MyMz_release(w, L)
% Code developed by Mrunmayi Mungekar and Devasmit Dutta
%
% MD_computeMemberFEFs.m computes the element stiffness matrix for a given element
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Functions Called
% none
%
% Dictionary of Variables
% Input information
% w = distributed load
% L = length of the member
%
% Output information
% memberlocalFEF = fixed end forces in the local element directions
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Take the load components along the local x', y', z' directions
wx = w(1);
wy = w(2);
wz = w(3);
% Calculate the corresponding fixed end forces due to load in each local x', y', z' directions
FEF_X = [-wx*L/2;0;0;0;0;0; -wx*L/2;0;0;0;0;0];
FEF_Y = [0;-wy*L/2;0;0;0;-wy*L^2/12; 0;-wy*L/2;0;0;0;wy*L^2/12];
Mb = FEF_Y(12);
FEF_Y(2) = FEF_Y(2) - (3/(2*L))*Mb;
FEF_Y(8) = FEF_Y(8) + (3/(2*L))*Mb;
FEF_Y(6) = FEF_Y(6) - (1/2)*Mb;
FEF_Y(12) = 0;
FEF_Z = [0;0;-wz*L/2;0;wz*L^2/12;0; 0;0;-wz*L/2;0;-wz*L^2/12;0];
Mb = FEF_Z(11);
FEF_Z(3) = FEF_Z(3) - (3/(2*L))*Mb;
FEF_Z(9) = FEF_Z(9) + (3/(2*L))*Mb;
FEF_Z(5) = FEF_Z(5) - (1/2)*Mb;
FEF_Z(11) = 0;
% Sum up to get the total fixed end forces
FEF = FEF_X + FEF_Y + FEF_Z;
memberlocalFEF = FEF;
end