EAVES GUTTER AND DOWN PIPE DESIGN TO AS/NZS 3500.3: 2015
Horizontal catchment area Ah = sq.m
Roof slope S = degrees
Intensity I = mm/hr
Is Gutter slope steeper than 1:500 ?
Selected Number of Down pipes n =
From AS 3500 Table 3.4.5.2,  Catchment Area Multiplier f =
Roof Area allowing for slope Ac = Ah*f
= sq.m
Catchment Area per DP A = Ac/n sq.m
= sq.m
Flow/DP q = I*A/3600 litres/sec
= litres/sec
from AS/NZS 3500 fig 3.5.2(C), Gutter Area = sq.mm
Gutter Area rounded to nearest 100sq.mm = sq.mm
From AS/NZS 3500 Table 3.5.2,,  Down Pipe size = mm
(Interpolating between the standard sizes of the table. Info Only) = mm
Cross sectional area (Info Only) = sq.mm
Down Pipe size selected = mm
cross sectional area = sq.mm

Summary

This catchment requires :- number of DP's =
Downpipe size = mm
minimum eaves gutter cross sectional Area = sq.mm
(note assuming the catchment area of each DP is roughly similar)