Plot infinite series for displacement function

Hello all, I am having trouble plotting this infinite series. I only need to plot for the first 5 values of j or so and the values of t from 0 to 0.9 for example. Wherever x is, I need it as L/2 i.e. to calculate the deflection at mid-span.

P = 250; %Concentrated point load of 250 kN

L = 5; % Span length

x = L/2; % Mid-span

E = 200*10^6; % Young's Modulus in kPa

J = 4.5*10^-5; % Moment of intertia for rectangular section

% with width 0.2m and depth 0.3m

V0 = (2*P*L^3)/(pi^4*E*J);

V0Actual = 1000*V0; %V0 in mm

c = 25; % speed in m/s (90 km/h)

w = (pi*c)/L;

for t = [0,1,100]

for j = 0:5

vxt = V0Actual*((1/j^4)*sin((j*pi*x)/L)*sin(j*w*t));

end

end

plot(vxt, t)

Answer 1

[Agnish Dutta]

From what I understand, you want to calculate the value of v(x, t) for the first 5 values of j for the instances t = 0 - 0.9, and then plot v(x, t) against t.

The following modifications should be able to achieve that:

t = 0:0.1:0.9;
vxt_values = [];

for i = 0:0.1:0.9
    vxt = 0;
    for j = 1:5
        vxt = vxt + V0Actual*((1/j^4)*sin((j*pi*x)/L)*sin(j*w*i));
    end
    vxt_values(end + 1) = vxt;
end

plot(t, vxt_values);

The plot fucntions required the x axis variable as the first argument, and the y axis variable as the second.

Refer to the following:

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