Hi Mahamata,
Based on your query, it seems you are looking for a Matlab code to analyze the behavior of a cantilever beam with a point load at the free end. This type of analysis is commonly used in structural engineering and mechanics to understand the deflection and stress distribution in such beams. Here is a sample Matlab code that will help you with the screen shot provided and give you idea to help resolve your problem.
% Define beam properties L = 5; % Length of the beam (in meters) E = 200e9; % Young's modulus of the beam material (in Pascals) I = 1.2e-4; % Moment of inertia of the beam's cross-section (in meters^4)
% Define point load P = 1000; % Magnitude of the point load (in Newtons)
% Create a vector of positions along the beam x = linspace(0, L, 100); % Generating 100 points along the beam length
% Calculate the deflection at each position using the Euler-Bernoulli beam theory deflection = (P .* x.^2 .* (3*L - x)) / (6 * E * I);
% Plot the deflection profile plot(x, deflection); xlabel('Position along beam (m)'); ylabel('Deflection (m)'); title('Deflection of Cantilever Beam with Point Load');
% Calculate and plot the bending moment distribution moment = P * (L - x); figure; plot(x, moment); xlabel('Position along beam (m)'); ylabel('Bending Moment (Nm)'); title('Bending Moment Distribution in Cantilever Beam');
This code uses basic principles of structural mechanics to calculate and visualize the deflection and bending moment distribution in a cantilever beam subjected to a point load at its free end. The deflection is calculated using the Euler-Bernoulli beam theory, while the bending moment distribution is directly proportional to the distance from the free end.
