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Steel Designers' Manual - 6th Edition (2003)
908 Floors and orthotropic decks
B = breadth of plate (mm)
t = thickness of plate (mm)
k =
py = yield stress of plate (N/mm2 )
E = Young’s modulus 205 ¥ 103 (N/mm2 4
Ê L ˆ
Á ˜
Ë 4 4
L + B ¯
)
gf = load factor
This formula, which is the basis of the first two load tables in the Appendix
Floor plate design tables, assumes that there is no resistance to uplift in plate
corners. Where such resistance is provided, higher design strength may be
obtained by using References 1 or 2.
(2) Centre point loads (concentrated over a small circle of radius r)
The design may be made using formulae developed by Roark. 1
NB There is a small amount of uplift (negative load) on the corners of the plate
when design is made using the following formula. Fastening at each corner must
be able to resist an uplift of 6% of the centre point load.
pt
w
B
m r
d
WB
2 067 . p y
=
Ê 1 ˆ 2
1 + ln + b
Ë ¯ p
2
a
= 3
g Et
f
where W = concentrated load (ultimate) (N)
d = maximum deflection (mm), occurring at serviceability
L = length of plate (mm) (L > B)
B = breadth of plate (mm)
t = thickness of plate (mm)
py = yield stress of plate (N/mm2 )
E = Young’s modulus 205 ¥ 103 (N/mm2 )
1
= Poisson’s ratio (m = 3)
m
r = radius of contact for a load concentrated on a small area (mm)
ln = natural logarithm of (2B/pr)
g f = load factor
Table 30.4 Values of b and a for centre point loads on simply supported plates
L/B 1.0 1.2 1.4 1.6 1.8 2.0 •
b 0.435 0.650 0.789 0.875 0.972 0.958 1.0
a 0.1267 0.1478 0.1621 0.1715 0.1770 0.1805 0.1851