Optimization of foundation pad dimensions

[Proektsoftbg]

Hi!

I present a short example about solving an optimization problem with Calcpad.

The problem is to find the optimal foundation pad dimensions a and b, that can resist one or multiple load cases with axial load N and bending moments Mx and My. Dimensions are determined so that the area A = a*b has its minimum. The target parameter is the ratio of both dimensions k = b/a.

Criteria for resistance are: max stress to be lower than a permissible value and min stress to be greater than zero (no uplift is allowed).

The solution is very simple with Calcpad. Nothing else is needed but to compose the required functions and call the $Inf command with the target function and parameter.

You can find the source code in the following file:

https://github.com/Proektsoftbg/Calcpad/blob/main/Examples/Demos/Optimization%20of%20foundation%20pad%20dimensions.cpd

Here is the report in pdf format:
Optimization of foundation pad dimensions.pdf

This problem can be extended even further. We can include the foundation height and minimize the concrete volume.

Also, we can add reinforcement design and having the prices for excavation, formwork, concrete and steel, to minimize the total cost. For that purpose, we will need to include all design checks for concrete shear/punching, bending, etc. Anyone willing to try? :)