For example the occupancy factor for a dining room is 0.9 and an assembly hall 0.45.
I hate to state the obvious, but the people are smaller!!
Now, regarding the (n-1) in the stair calcs, the figures in the table start with an assumption that 40 people will fit in each storey of an 1100mm stair.
They also have a starting assumption that with only one floor served for an 1100mm stair a width of 5mm per person will be sufficient to clear the floor through that stair in 2 and a half minutes (the desired outcome).
They then build on this by assuming that for every 100mm the stair gets wider an extra 5 people will fit per storey.
These three assumptions are the heart of the table and the formula, but they are based on more fundamental assumptions, such as that the height from one storey to the next is 3m (or 10 feet originally). Just look up PWBS for the rest.
This is where the formula comes from:
If
w = width of stairs in metres
p = number of people served by the stair
n = number of floors served by the stair
p is going to be made up of three things:
1. the starting figure given by 5mm per person (e.g. 1100/5 = 220) for one floor served
2. an additional 40 persons for every additional floor served (i.e. add 40 per (n-1))
3. an additional 5 persons for every 100mm extra width on each of the additional floors.
Did you notice the (n-1) up there? It's (n-1) because you add on the additional figures for every floor greater than the original one you started with. For example, three floors served (n=3) you add on (n-1) two lots of 40 for an 1100mm stair.
Mathematically:
(remember w is in metres)
p = 1000w/5 + (n-1)40 + 5(n-1)(w-1.1)/0.1
(that's 5mm per person + 40 per additional floor + 5 per additional 0.1m per additional floor)
This, of course, transposes to:
p = 200w + (n-1)(40 + 50(w-1-1))
which in turn gives:
p = 200w + 50(n-1)(w-0.3) The formula in the book!
Stay awake at the back there!!
Anyway, thats what the n-1 is all about.
It's all very theoretical and hypothetical of course and you can pick it to pieces but it's what we've all been using for 50 years.
Pete, as for your search for the evolution of this since PWBS, good luck!!
Stu