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RCD COLUMN NOTES – Column Design Reference, Study notes of Reinforced Concrete Design

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

2023/2024

Available from 06/06/2025

imwinter
imwinter 🇵🇭

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ALD
HOOSE
THE
LOWEST
ýVICTORY
*
max
mum
sare
unlpurm
luad
Mcap
uorrt
Mmax(
iF
cOtora
D3re
yung
N.A,
iF
nOt
uKe
12
Mcap.
=INA
dX
(rteel)
KN-M
INA
=
3
2
t
nAs
(d-x)
Mcapo.
fe
INA
(
corcrete)
KN
-n
rectangl
b(x)()
+(x)(2)
(*)
inangte
Ratio
&
proportion
(norizotal
dim
@NA)
t4ttotwr
Resirting
Moment)
Maximum
Capacaty
(1oet
capaity!)
MA
aoe
(Moments
*NASd-x)
+
tranpOm
ed
arta
-
MA
below
(Area)(moment
Arm)
To
Find
x
f
As
Nmm?
(
Area
oF
cteel
reinporcement)
Act
fs
nM(dx)
INA
trecr
Allouabe
I
Mc
INA
Mx
4700
fO
Eeoncrete
ESteel
2x10
MPai
(
modular
ratio)
AllowabieCopreriye
Strerr
(Act:)
Selpwegnt.
24
kN
m
(iF
not
given
*
cONCRETE
CRACKEO
-
LASTC
STRESES
STAGE
smler
Negotive
Bending
Sresr
/Flexural
Sorers
(
o/f)
Positive
Mc
T
prl
MPa,
ksi
for
Mbalance
:
KN
/m2
tension!
I.NA
always
Mor
(fr)(INA)
bh 3
Cracking
moment
(Mcr)NM,
K-pt,4
race
os,Ascam(
Yi)
n4
dcheckng
cr-ckd
or
INA
Ay-)
Abesn
t
(0)As
uncracked
or
M(h
AT
(9)
A1y1
A2Y2
INA
t Ad 2
(rectangular)
Eo
400
'c fC
(
(allowale
compresYe
elacticity)
meric
fot
<fr
turcr•ed)
ctrengn)
fr
7.5fc
iF
in
Englisn
),o
(
ashi
Erteei
200GPa
2xoS
MPa
metic
ft
LO
2P
(tensile)
ft < fr
*
UNCRACKEO
CONC
RETE
STAGE
CHAPTER
2
(WSO
RCD
DATE:
NO.:
pomuto)
abautNA)
Tensile
f
scel
(Act)
Njmm?
moduls
oF
Englin)
modulur
of
rupture)
pf3
pf4
pf5

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Download RCD COLUMN NOTES – Column Design Reference and more Study notes Reinforced Concrete Design in PDF only on Docsity!

ALD HOOSE

THE

LOWEST Y

max mum sare

unlpurm

luad Mcap uorrtMmax(

iF

cOtora

D3re yung N.A,

iF

Mcap. nOt uKe 12

=INA

dX

(rteel)

KN-M

INA

= 3 2 t nAs

(d-x) Mcapo.

fe INA

(

corcrete)

KN-n

rectangl

b(x)()

+(x)(2)

(*)

inangte

Ratio

&

proportion (norizotal

dim @NA)

t4ttotwr Resirting Moment)

Maximum Capacaty
(1oet
capaity!)

MA aoe

(Moments

*NASd-x)

tranpOm

ed

  • arta

MA below

(Area)(moment

Arm)

To Find

x f

As

Nmm?

(

Area

oF

cteel

reinporcement)

Actfs

nM(dx)

INA

trecr

Allouabe

McI INA

Mx 4700

fO Eeoncrete

ESteel 2x MPai

(

modular

ratio)

AllowabieCopreriye

Strerr(Act:)

Selpwegnt.

24 kN

m (iF not given

cONCRETE

CRACKEO

LASTC STRESES

STAGE

smler

Negotive

Bending

Sresr

/Flexural
Sorers
o/f)

Positive

Mc

T

prl MPa,

ksi

for

Mbalance

:

KN/m

tension!

I.NA

always

Mor

(fr)(INA)

bh

Cracking
moment

(Mcr)NM,

K-pt,

race

os,Ascam(

Yi)

n

dcheckng

cr-ckd

or

INA

Ay-)

Abesn

t

(0)Asuncracked

or

M(h

AT (9) A1y A2Y

INA

t Ad

2

(rectangular)

Eo 400

'c

fC

(

(allowalecompresYe

elacticity)

meric

fot <fr

turcr•ed)

ctrengn)

fr

7.5fc

iFin

Englisn

),o

ashi

Erteei 200GPa

2xoS MPa

metic

ft LO

2P

(tensile)

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:

DoublyRelnForcedConcrete

AllboadeSreres(Actual)

X

MC (concrete)

frINA

2n(x-d)

(steelcompre«sicn) Mcap

2nM{x-d')

ffInA

(stcel Mcap a(a-x)

tenton)

nmfd-x)

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

2n(x-d)

(cquaradpropertyf psslola)

MomentoFInertio

Rectargle semi-cirde

bh A-bh 3

bh

Triangle

3TT bh A:on

Elipse

|2 0-25 Ta`bt Ad

Circle

I: (^025) b A r + Ad

Ar

Spardrel Quartercirce

n

Xc 4

A

0.055r 2 t Ad

YC 4n+ 4r 3T A:

botn cen'tbroidr(x,y)

VVICTO

Tab

2

cnose

mcap

KNm

Mcap
kNm1t

Mcap

|75-

51 KN

525 m
  • A ()

mcap

X

fc INA

Mcap d-x

INA

IV-Dn

Concrete

On sttd

I NA

3O

xo mm

250a

  • )

2

X

=

02 mm

(X)((x)(x)

8(28co)

x)

MAaove

MA beloo

(^250) I

75

2

mm

f

0

525 i

X

i.
imlarity
RA.P

fO

250

ue fc:

lOMPa,

fr

146MP

,

n8,

As

PROBLEM

Determine

the

moment capacity^2800

mm"

cf ne

trapezcidal

bcam ecticn

shan

the
jowtrt
capocity
pYra

OFe b0th

concrete

ctodC

|Mcap
80-cO
7N-m Mcap

4 4B

MCap

kN-m

9.5(

ConcreeMcap

fCTNA

mcap

n(d-x)

foTNA Mcap

2n

(x-d')

fr IN

C @
stecil
compressicn

INA

(-5D)

14(200)(A-5)

5(350)( (G25-A)

NA *

(2n-1)

A't

(X-d')?

AG(a-x)?

X 2):

(^44) mm A

(35D0)(o
x)

fDO

(x\Xx/e)

200(x-150Y

sD)

(x

I50 Ac

35omm

n

Ac(d-X)

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

tne

moment

capacity

oF

the

box-girder

2nT

m(x-d')

(teet

comprerron)

Mcap

2n(x-a')

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.

momet

fimi ted

ection

actval dergn

(2n-1)A

20

to

Arcnitetwal

desgn

A's

fC

used ohen

the

ection

ir

imi ted
Ir

bogl

lavihan

yúng

rection

due

reinForced

in dotn

tension

conprecslon

Doubly

Reintorcc

Concrete

Beam

kN-)

steeI Tensian

(2n-1)

A's

(x-a')=

(used

in

bHdges)