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In-depth notes on short and slender column behavior Axial load and eccentricity considerations Interaction diagrams and ACI-compliant design steps Includes fully solved column design problems
Typology: Study notes
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ALD HOOSE
THE
max mum sare
unlpurm
luad Mcap uorrtMmax(
iF
cOtora
D3re yung N.A,
iF
dX
(rteel)
KN-M
INA
= 3 2 t nAs
fe INA
(
corcrete)
KN-n
b(x)()
+(x)(2)
(*)
Ratio
&
proportion (norizotal
dim @NA)
t4ttotwr Resirting Moment)
MA aoe
(Moments
*NASd-x)
tranpOm
ed
MA below
Arm)
To Find
x f
As
Nmm?
(
Area
oF
cteel
Actfs
nM(dx)
INA
trecr
Allouabe
McI INA
Mx 4700
fO Eeoncrete
ESteel 2x MPai
(
modular
ratio)
Selpwegnt.
24 kN
m (iF not given
cONCRETE
CRACKEO
LASTC STRESES
STAGE
smler
Positive
Mc
T
prl MPa,
ksi
for
Mbalance
:
KN/m
I.NA
always
Mor
bh
os,Ascam(
Yi)
dcheckng
cr-ckd
or
Abesn
t
or
AT (9) A1y A2Y
INA
t Ad
2
Eo 400
'c
fC
(
elacticity)
meric
fot <fr
turcr•ed)
fr
Erteei 200GPa
2xoS MPa
metic
ft LO
2P
ft<fr
UNCRACKEO
CONCRETE CHAPTER STAGE
2
(WSO
RCD DATE:
NO.:
pomuto)
abautNA)
Tensile
f
scel (Act)
Njmm?
moduls
oF
Englin)
modulur
of
rupture)
NO.: DATE:
AllboadeSreres(Actual)
X
MC (concrete)
2n(x-d)
(steelcompre«sicn) Mcap
2nM{x-d')
MAavve MAbelw
D(*)()(2Xx)%)+ (2n-1)A's (xa): nAS (d-x)
1 (2n-1)(A)(*d)t nAS (d-x)? INA 3 12
frFNA
MomentoFInertio
Rectargle semi-cirde
bh A-bh 3
Triangle
3TT bh A:on
|2 0-25 Ta`bt Ad
Circle
I: (^025) b A r + Ad
Ar
Spardrel Quartercirce
n
Xc 4
A
YC 4n+ 4r 3T A:
Tab
2
mcap
KNm
Mcap
|75-
51 KN
mcap
X
fc INA
IV-Dn
Concrete
On sttd
I NA
3O
xo mm
250a
2
X
=
02 mm
MAaove
MA beloo
(^250) I
75
2
mm
0
525 i
X
fO
250
ue fc:
lOMPa,
fr
146MP
,
n8,
As
PROBLEM
Determine
the
moment capacity^2800
mm"
cf ne
trapezcidal
bcam ecticn
shan
OFe b0th
concrete
ctodC
4 4B
9.5(
ConcreeMcap
fCTNA
n(d-x)
2n
(x-d')
fr IN
INA
NA *
(2n-1)
A't
AG(a-x)?
X 2):
(^44) mm A
fDO
I50 Ac
35omm
200(
x
(
X-12)
MAove
:
MAelDw
700|40D
2n-1= 2(7-5)
d' 75 mm
A's
»
(200mn
(^2) d 25 mm
fe l
MPa,fS
5 MPa
n7.
PROBLEM. Detemine
box-girder
(teet
comprerron)
fS INA
INA
3 +
(2n-1)(A)
(x-d)
nAs
(d-)
b(x) (2n-1)(As)
(*-d') inAs(d-
x) MAaove
AS
n
d
NA.
(2n-1)A
20
A's
fC
ir
reinForced
in dotn
tension
conprecslon
Doubly
Reintorcc
Concrete
kN-)
steeI Tensian
(2n-1)
A's
(x-a')=