Useful Formular for Structural Engineers
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8/16/2019 Useful Formular for Structural Engineers
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Helpful Formulae
( )
( ) ( ) ( )
( ) ( )( )
H E DU
H W DU
S L E DU
RS L LW DU L RS L DU
RS L H LT F DU
F DU
r
r
r
6.19.0
6.16.19.0
2.02.1
oror5.06.12.1.8W0ororor6.12.1
oror5.06.12.1
4.1
++=++=+++=
+++= ++=
+++++=+=
=mm
d CS
b
25Largermin
>
≤≤
−
≤≤=
MPa 55for65.0
MPa 5528for7
05.005.1
MPa 2817for85.0
'
''
'
1
c
cc
c
f
f f
f
β
4.1
25.0 '
min,
y y
c
s f
bd bd
f
f A ≥=
+
= y yc
b f f
f
600
600
85.0
'
1β ρ
,
( )
= d d
f
f t
y
c
'
1005.0 85.08
3
β ρ
( )
<
≤≤−+
≥
=
002.0 65.0
005.00.002 3
250002.065.0
005.0 9.0
t
t t
t
when
when
when
ε
ε ε
ε
φ
≤−
= fy
C
fy
S callow
32
280 300 5.2
32
280 380
−=
'59.01
c
y
yu f
f f R
ρ φρ
,
2bd R M un =φ ,
( )( )' c y
'
cu
re!" f f "
bd f M "## $
181
36211 2max φ =
==
= 420 002.0
350&280 0018.0min,
M%a f for bh
M%a M%a f for bh A
y
y
s
=
mm504 5minmax hS
,=
mm504 3minmax hS
s
d f A&
yt '
s =
,
bd f & cc'
17.0=
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8/16/2019 Useful Formular for Structural Engineers
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1
'
1
'
1
21
'
85.0colmnin !"e#!reng!" $earing%oncre!e
7.185.0foo!ingin !"e#!reng!" $earing%oncre!e
A f %
A f A
A A f %
cbear(n)
ccbear(n)
φ
φ φ
==
≤==
21005.0
cc f % % A
y
bear(n) u
sd ≥−=φ
+
+
=
3
122
12
42
of #malle#!caaci!#"ear nc"ing%oncre!e
'
'
'
d b f
d b f
b
d
d b f
&
oc
oc
o
s
oc
c
c
α
β
( ) st y st ) c
A f A A f %
+−=
'
0 85.0
==
colmn!"eof (imen#ion#maller
48
16
minimm#&acing)er!ical*ie# t
b
d
d
s
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