Sizing wooden floor for car storage

[JDA]

I want to extend my garage floor over this pit to solve winter storage for a car. The car will be placed perpendicular to the stairs so that one wheel ends up almost above the floor drain in picture 2, and the other almost on the concrete edge.

The pit is 2x2m, height around 150cm. I estimate a point load of 500kg per wheel.
I was thinking of one or two columns (the wall behind the shelf is nothing to screw into).

How would you size the columns, beams, and joists? Will I need laminated timber?

 

[Plupp 231185]

Would have become a perfect so-called smörjgrop instead of building over

 

[JDA]

Would have become a perfect so-called smörjgrop instead of building over

Already have a smörjgrop that's enough. It even continues under the concrete all the way to my pit that is glimpsed beyond the reciprocating saw..

How great is that!