the global stiffness of two 4x4 matrices of truss

How do I make a code to assemble these two 4x4 matrices to get the 6x6 global stiffness matric as shown?
clear all;
clc;
K1=[1 1 -1 -1;
1 1 -1 -1;
-1 -1 1 1;
-1 -1 1 1];
K2=[1 -1 -1 1;
-1 1 1 -1;
-1 1 1 -1;
1 -1 -1 1];
%here are the two matrices

 Accepted Answer

To add the matrices together, just arrange them by indices.
% Dummy values for k1 and k2
k1 = ones(4,4);
k2 = ones(4,4) * 2;
% Calculate stiffness matrix
K = zeros(6,6);
K(1:4, 1:4) = k1;
K(3:6, 3:6) = K(3:6,3:6) + k2
K = 6×6
1 1 1 1 0 0 1 1 1 1 0 0 1 1 3 3 2 2 1 1 3 3 2 2 0 0 2 2 2 2 0 0 2 2 2 2
You can make this more robust by using variables instead of hard coding the indices, but this minimal example shows the concept. Good luck with your finite elements!

More Answers (0)

Products

Release

R2023a

Asked:

on 21 Sep 2023

Commented:

on 22 Sep 2023

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!