Calculate the theoretical development of a centered square or rectangular sheet metal hopper from top opening, bottom opening and vertical height.
Enter hopper dimensions and calculate.
What is a hopper development? It is the flat-sheet representation of the tapered hopper walls before they are cut and formed.
What type of hopper does this calculator support? It supports centered square and rectangular hoppers where the top and bottom openings are concentric.
What is slant height? Slant height is the actual length along a tapered hopper wall from the bottom edge toward the corresponding top edge.
Why are there two slant heights on a rectangular hopper? The length and width transitions can be different, so the front/back walls and side walls can have different slant heights.
Does a square hopper have equal slant heights? Yes, when the top and bottom openings are square and centered, all four walls have the same geometric slant height.
Can this calculate an offset hopper? No. An offset or eccentric transition has a different geometry and requires a dedicated development method.
Does this include seams and trim? Yes. Optional seam and trim allowances can be entered, but their exact placement depends on the fabrication method.
Can I use this for dust hoppers and chutes? Yes, for preliminary calculations of centered rectangular or square tapered transitions.