I would search the forum for an answer to this but I don't even know what to search for to begin with.
Here is issue. I am building a workbook to estimate remodeling costs for prospective projects. One sheet (pricing) has all material pricing (2x4x8, 2x4x10, 2x4x12, etc) for all lumber and material (drywall, studs, pressure treated deck material, etc).
Another sheet (tasks) lets me input info about the project (example, for a deck it asks height above ground, length, width, stair height, material type etc)
A third sheet (project) calcs the material needed for the given task.
This all works OK for a deck under 16' x 16'. But beyond that I forgot to factor in the additional beam and joist material. Problem is, I just realized that the material used could depend on the standard size lumber and the size of deck. For examples:
A deck 8' long uses an 8' beam
A 16' deck could use a 16' beam or two 8' beams
A 24' deck could use two 12' beams or three 8' beams
A 29' deck could use two 12' beams and one 8' beam with 3' leftover, or three 10' beams with 1' leftover.
Which beam configuration to choose depends on the least amount of waste but also depends on the current price for a given combination. Today a 10' 2x12 is cheapest per foot, but tomorrow the 12' or the 8' size could be cheapest.
Another mitigating factor is the 8' post spacing for the supports. That dictates using lengths that are multiples of 8, but if there is an overhang at each end that makes a difference. This overhang is available as input but is included in the overall length/width numbers (if I specify a deck is 10' x 10' with a 1' overhang the total sq footage of deck is still only 100).
So how do I figure out the cheapest combination to meet the beam length needed?
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