3D Plot in probability

I'm working on a probability and reliability function using HL RF method (Hasofer-Lind and Rackwitz-Fiessler) where I've to plot a 3D graph with a Gu function, any 2 variables and the sigma values. How can i plot it?

[darova]

Do you have formulas or equations?

[Rithwik Goud Salloori]

Yes. my Gu function is (0.15384*(p*l^3))/(e*b*t^3). So, I've to consider any 2 varibles with the highest sensitivity to form their pdf functions with limits upto 4 or 5 sigma and plot a figure with respect to my Gu function. And the variables have different type of distributions. i.e p=normal, l=uniform, e=lognormal,b,t=beta.

[darova]

DO you have any attempts? The code?

[Rithwik Goud Salloori]

So, I've tried the code on Monte Carlo Simulation, you can see the code at the end.

Answer 1

[Aditya Mittal]

Hi,

You can easily create 3-D plots using different 3-D plot functions available in MATLAB. You can consider the link below.

https://www.mathworks.com/help/matlab/visualize/creating-3-d-plots.html

You can use meshgridfunction of MATLAB to create matrices for your variables. Further, create the equation for Gu function and then plot the graph.

Pseudo code-

[var1, var2] = meshgrid(v1, v2);

% use var1 , var2 instead of v1, v2 for the calculation of the function.

Gu = (0.15384*(p*l^3))/(e*b*t^3);

Surf(v1, v2 , Gu);