Documentation of Maxima describes objective functions and also mentions that they can be used to find combinations of minimum vertical load with maximum horizontal load:
Has anyone been able to find/derive a good objective function for finding the combinations with minimum vertical reaction and maximum horizontal reaction?
Currently, I have been able to get the best results with objective functions of type “PZ+PX*factor”. Where the factor has a weighing and direction purpose. Of course, this is not an exact solution to maximising (PX1+…+PXn)/(PZ1+…+PZn) and with table analysis I can find worse combinations.
for which system do you want to determine the minimum vertical reaction with maximum horizontal load?
In the case of a beam system there SOFiSTiK provides another solution. With the program MAXIMA it is possible to superimpose for the normal stress in cross section points (MAXIMA: SUPP … ETYP BEAM or DSLN TYPE SIG SELE cross section point → MAXIMA manual 3.10.4 Input of Cross Section Points for Beams)
Here the program MAXIMA determines the normal stress for the initial load cases, superimposes them and stores the internal forces which leads to the maximum / minimum normal stress.
A detailed explanation for it inclusive examples is available in our Online Tutorial ‘Determination of Decisive Load Case Combinations with Superposition of Normal Stresses in Cross Section Points’ which you can find in TEDDY / SSD → Help → Online Help → Tutorials → Combination Rules and Superpositions.
With kind regards
Sabine Fahrendholz
Senior Product Manager
