i keep receiving this error message in matlab

I keep receiving this error message in matlab. im trying to write a script for a plane trust problem for school dont know what im doing wrong at this point. any help is welcome. error message "Error using *

Incorrect dimensions for matrix multiplication. Check that the number of columns

in the first matrix matches the number of rows in the second matrix. To operate on

each element of the matrix individually, use TIMES (.*) for elementwise

multiplication.

Error in untitled17 (line 78)

k_Aeg=T_x'*k_ee*T_x+T_y'*k_ee*T_y;

% Constants
i = 1; % length of horizontal and vertical members
sqrt2i = sqrt(2) * i; % length of inclined members
E = 100e9; % Young's modulus (Pa)
A = 1e-4; % cross-sectional area (m^2)
i = 0.3; % moment of inertia (m)
% Define external loads
Fx13 = 10000;
Fx14 = 10000;
Fy13 = 0;
Fy14 = 0;
% Load Case A: Fx13 = Fx14 = 10,000 N
FxA = [10000; 0];
FyA = [0; -10000];
% Load Case B: Fy13 = Fy14 = 10,000 N
FxB = [0; -10000];
FyB= [-10000; 0];
% Load Case C: Fx13=10,000 N and Fx14=-10,000 N
FxC= [10000;-10000];
FyC= [-20000;-20000];
% Assemble global stiffness matrix K and global force vector P for each load case
% Initialize matrices/vectors with zeros
K_A=zeros(6);
P_A=zeros(6,1);
K_B=zeros(6);
P_B=zeros(6,1);
K_C=zeros(6);
P_C=zeros(6,1);
% Define local element stiffness matrix k_e and local force vector p_e
k_e=A*E/i*[1 -1;-1 1]

k_e = 2×2

1.0e+07 * 3.3333 -3.3333 -3.3333 3.3333

p_e=[sqrt2i/2;i/2]*[Fx13,Fy13]

p_e = 2×2

1.0e+03 * 7.0711 0 1.5000 0

for e=[3]    %(number of elements)
    
    k_ee=k_e;
    p_ee=p_e;
    if(e==3)%horizontal member
        
        T_x =[1 0 0 -1];
        T_y=[0 1 -1 0];
    end
    if(e==4)%vertical member
        
        T_x =[0 -1 1 0];
        T_y=[-1/2 sqrt2i/2 sqrt2i/2 -1/2];
    end
    % Compute global element stiffness matrix K_e and global element force vector P_e
    K_Ae = zeros(6);
    p_Ae = zeros(6, 1);
    K_Be = zeros(6);
    p_Be = zeros(6, 1);
    K_Ce = zeros(6);
    p_Ce = zeros(6, 1);
    size(T_x')
    size(k_ee)
    size(T_x)
    size(T_y')
    size(k_ee)
    size(T_y)
    % Transform local stiffness matrix to global coordinates
    k_Aeg=T_x'*k_ee*T_x+T_y'*k_ee*T_y;
    p_Aeg=T_x'*p_ee;
    % Add element contributions to the global stiffness matrix and force vector
    K_A([3:4],[3:4])=K([3:4],[3:4])+k_Aeg;
    P_A([3:4])=P([3:4])+p_Peg;
end

ans = 1×2

4 1

ans = 1×2

2 2

ans = 1×2

1 4

ans = 1×2

4 1

ans = 1×2

2 2

ans = 1×2

1 4

Error using *
Incorrect dimensions for matrix multiplication. Check that the number of columns in the first matrix matches the number of rows in the second matrix. To operate on each element of the matrix individually, use TIMES (.*) for elementwise multiplication.

% Solve for displacements using KU=P equation
U_A=K\P

[Torsten]

As you can see above, the sizes of the arrays you multiply are not compatible.

[Hector Meza]

im not the best are coding. im kinding strruggling her. so how can i fix the problem?

[Torsten]

It doesn't have to do with coding. You must know what you want to compute in the two expressions and why the arrays you provide are not suitable for this. I cannot help you in this respect.

Answer 1

[Ishaan Mehta]

Hi Hector,

I understand that you are facing an error regarding incompatible dimensions of matrices while performing matrix multiplication.

When two 2-dimensional matrices are multiplied, the number of columns in the first matrix must be equal to the number of rows in the second matrix. Therefore, making sure that the matrix dimensions conform to this rule will help in resolving this error.

The following line in your code is the one producing the error:

k_Aeg=T_x'*k_ee*T_x+T_y'*k_ee*T_y;

Upon using the debugger with a breakpoint on the mentioned line, I found that "T_x' " has 4 rows and 1 column, while "k_ee" has 2 rows and 2 columns, therefore, "T_x' " and "k_ee" matrices can not be multiplied. Please verify that the matrix dimensions are compatible and reshape the matrices into appropriate dimensions using the "reshape" function, if needed.

The following MathWorks documentation page contains more information about the usage of the "reshape" function in MATLAB:

https://www.mathworks.com/help/matlab/ref/reshape.html

In addition, using a debugger will be helpful in investigating such errors and analyzing the size and values of different variables while executing programs in MATLAB, as explained in the below documentation page.

Debug MATLAB Code Files: https://www.mathworks.com/help/matlab/matlab_prog/debugging-process-and-features.html

Hope this helps,

Ishaan