CIVE 421 Problems, Spring 2008
American University of Beirut · Concrete II · 11 pages
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FACULTY OF ENGINEERING & ARCHITECTURE - AMERICAN UNIVERSITY OF BEIRUT
’
= LE. er Exampres
An | Broce d Hrome :
amea’ Aa Colemry cog De
es
t ? 25 f+ Ft
frome: ae Grd 20 ¢4 Apert , Ai wine fares 7
Qe Ossumed fo be seststat by fhe cand Walls of
ka alas
/ Q@irm CD dbiumn DE
Senvice Looe/ ? Dead= Bo Lips Dead = soups
Lnvq = 24 kbps Lvs haeps
Service Mom-rés Ded = 60 fr-ey ~ Tred = —-F2-FA-w
ot +op ofcolsmn 3 Live 2/4 f4-e% ove = 10 ft_—we
| Serica Mornants Deat=Z/ fr-ep Des = 72 yy-ev
ot bottom ef columa = Liva= & ft—nip eis 8 ft 47
Bwmn Cds Pua L4toe4+ +7 = 1/626 nips
Trop = 44 x60#+ +7 LIL H=17.8 FP
Moot = AARZI £17438 = AS f+-+7
corumn Grtiq Lovble— Cvivatere— li. BB 2_of
"M2 w7 8
Colin DE + Pes A DEL P7L ES IE wpe
hep aA FZ4 LLY MUN KA7ZELTE PEE
so4 = LEARKRBZ ENIX G = FEO 4 SfL+P
Cotten bert i7 sgl con sat re ‘1, = We kia = 2.75]
z 78./
pt DESna
oe s ooo
Y —~§ CHOFFE7) Z
OTS x/2z(SEP24 3574 27
Ne = f£Z5
andl S72 = Plans +F& Tes
Z2ES 4/25 x/9/
i]
2190 a pe) =O aps
= SOR7S f~b-ey.
Ss of Pesiga Sha. cofumn s
4 y /EXZ9
Aga ([8X24) K24
Pde = _SOB7F x12
Agh C 18X24) X24
fe = 4457
FACULTY OF ENGINEERING & ARCHITECTURE - AMERICAN UNIVERSITY OF BEIRUT
(@ Load care /; Pu W28 =Z.€/
PIe _ FSA XZ = 24!
ii CS) Lead coz: Few WO aor
“Ay SOKZ4
controls
= O58 f
4 | [fn |
AedA-E0.75 C= 0048
R#-60.90 C = 0.036
06 Zor V=0.79 20042 7 AZ Ye (latherom
a »€ Ae AGA sede)
Paboild be AN s0ble 7 Use & larger
Sechan With @ e Aaron ZAYo
Asta 0: OFZ x/8xZ4 = /&./4 mn? © #2 /0
As¢ = 20.32 ig?
Zin:
/B in PCLT
S 6 x27 =m3g2
€ #5x 3g = (Bin
& 82 im — comtels
Gung ¢
“24 KIS ~ Fx Jy - 6/27 Ls< GF © 10 /n (fecommengfed)
Ss
=> 2.4m
< on Oe
> (5d, = 19 in On:
yo VS tn. Ow.
| siwaiia
FACULTY OF ENGINEERING & ARCHITECTURE - AMERICAN UNIVERSITY OF BEIRUT
Ze Select PONE Sjzes 6
76 Ue Same ClOss.Secton fo beth cowmass
Ag = (240.65 173,86 nt Ty Vax)
a Are the~ cofumas Sknder /
cr fiz
~ Cowman Cbi ly = ZO_-£ =/8 ft
rSoe3A =O.3xi4= Fzin.
kde f ttewzs. CL
2 FEY ea )en. Zs a7 Ty =°7% AND 2290193 nt
= e
Pp Z(EZ/e Jem a 2095 ZZ= 257% “Gexea)? = al
0 = 2z4%/2 = 268i ae
ex. =/GXi2 = 228/74
Veep 5 FAO yeee +: 2240.9/226 = GIP s7acoV F000 .
CASE 300-512 ws
“yp = 4 ETE he = E4S/K x 22433/228
=e 3
Z “S/ Subjyiade modela ELEC x 160 e/g3
= &.
porn? Nomagrop4 Ks 0.806 = OS
= efi = O8IKELIZ — 447 > F4-/2 (0.4)
. EE = GbE
is Slender
- GCoumn DE: tus Hz = Z2f7
= 42%
£240.93/208 _ ooze
Wipes oe A EECIEEE
sa CLS). 2/25 412
PY cor = 2.98
form Normeg ras Ke 07/7
So £f6 mw Cities PERE =e > 24.2 (0.7—-)
ai Az =- 25
TZ Shkacler
Kee <e0e Fad 207A cases > Om yse AED
ee ,
Moment wiagafi caren
methed
SZ iat
P= Ll
Pe = ed" ta)?
Frt= (4257
ind fH
—~ Gorse _ ¥
to se | 733
5 £r= Oy — _ (ezx08« 32033) Yes _ 4x109 ©
1 fe s+ O-F33 1-733
= 2.3/K/079 4 m2
Po = aren 23/K 109 = JF #A(GITE= F4AK
a (2:97 * exaye i al
Ore is o640.4(-0-4) = 2440 O'4 ne
Pu = “Sz. 8
° i a.440 =
a 23 — eee ee Cee
OER TAG a Jaze 5 =/O
FACULTY OF ENGINEERING & ARCHITECTURE - AMERICAN UNIVERSITY OF BEIRUT
Me= 10 «/078
= 7078 FFE ( moz. moment lentins @ ae
a/ oesi9n fae} fer Pas 152.8 explaln 7"
a= We = 107-8 Pre
Check minimum eccen/res
C= 0-640.0384 =+O0zZ
x_
DP hin = (82 BY 102 fy FZ 18 few C™Ma2|aec
a”
FACULTY OF ENGINEERING & ARCHITECTURE - AMERICAN UNIVERSITY OF BEIRUT
ae
FE
a=
“Ag = 078
Me = 047
Agd
Ya oe5
Vv =0.¢ ie
= a C=280F =
Yeo > C= 00 22 far V=0-65—
Cz 0.034
As = 6.08 72
Ap //
— Pes Pt H93- BO or SFE LY. .
ue 7S fee
Py = O48
Wagh - O3G
Foote es = Ces ” = -
OS -0o7s —~ C= o.oly 28 aia
pel= “4° = 4.74£
pete FOF 2 2.25/09 Bin?
(Pr O7FE
PP = Tn229x0" 2 64329574 b= 643 sips
(7:7 « 222)"
Cmr=z 0640A( 07) = 29
oF ou
"4
Pus 93-8 Lips
oe = —~2@ 9 i= 4/2
as 7 33:8
OIS xX 43
PP Men hl2x 7&/ = EF.5 ft-hie Coxprn)
and adie i columq DE fe Fea 93-8
Pq = Ie = EFS fb—eiP
check nMimum eccensrre Fy
Cam poe %
? Mine FB 8x1 O2//2E & ftw C7Jg Me
Checs tes Ppa ¢
CD? Pu = (52.8 ~
[a = 107-8 fee
| fom E
cD:
+ in:
S#8
Clear specing S—A=ZxS =z} —3xXl/
POMS =
= Fes in
en
< < /eg=le” (She rr’
ama Sdpuc® a
< 49% = i
< /4 ef
< g ae” (thea a greseat)
Use £38E in.
& sia
KS
FACULTY OF ENGINEERING & ARCHITECTURE - AMERICAN UNIVERSITY OF BEIRUT
FACULTY OF ENGINEERING & ARCHITECTURE - AMERICAN UNIVERSITY OF BEIRUT
G@- Labraxd Frame
Frame is
sY¥mmetrrca/
“4 fe 6007 ¢ ’
’
f= tes:
=60 Es!
760 FLO 320 (60 >
Qluma AB moments + Mot=40 f~t-“nip
Mit =/75 f~t-kip
Mae 2/90 fe-wip
Assum— M2 Ne or Mop = hoe
All beams 2: (/8x 20)
Al Columas (/8x 24)
Dengan Colma AB of he Bitea Linbsraced Frame
Since Aw ow symmetrrea/ from~ > The GO” Joas/s
CQL an/LL) will or cause appreciable SAS WAY » Thus the
deacl. ane! IVeload moments combine Yo gwe WY. ane MZ
¢G “aS Zar
Ike Wind_looe! moments make ye Mis ond Cae
| ia 7
FACULTY OF ENGINEERING & ARCHITECTURE - AMERICAN UNIVERSITY OF BEIRUT
zl
Load Case / 3 Gor Loads only £42 LBD ITE
PI = 9.75 (44 Py pt 7074,
Zs = O75 AKO 5 eS
= 765 f-ty
Mes = O75 (1 7Iy,) = 075 47x/50)
= /AW/ pt-ep
Load case 3 Grovty aad wind load s = OID +/3N
fe Bree 2iLvert (Pad coses wWi// be consi ckred
C Sehm 925 ACT 24-95)
Fit = 820X444 4OOKIT = WZEB eps
i= FOKLA 4/75/17 = I54 fe-bips
M113 = (has = 9B¢ F-kep
a uy
for rhe fea’ care the frome 7 ComnsihreS braced!
Fo 10 Apprciabl. Alef occurs -
Zn Cur Case He Pome is symmerica/ ant
eae gy tts7 fOacds 0)7/N0F Cause api Able sidese)
0% 8, 76 "nop Considered yy AAls load Care Q des/9a
She cOlumn jo Fu an’d Maz 5 At
Load Case 23 Ff rif ane wind! /oacts Us O74 D+:/7L4/7A|)
Fe frame LAfiects Jarra wader wind
Pus 0.75 (4320 ¢ 17% 400 4 1.7%50) = 9/0 “ips
ie frome Afiects faferalty under Wine!
Pea GID £1 3BW = O.GKIZOx G50
= 353 eps
Meany = O.90ID = 09x40
= 96 ft-ep
Mes = 43 04,, = APKISO
= /I5 #t-ep
tn this besign problem Lood case 3 Will be jonorec/
oe oe
Sine jf is, char that foal cas 2 % mae <itrea/
| fam |e
Li; Tk column size is grr to be 8x24)
7 3. Are the @lumns sfeacer RA ie
?
Khu Z au he 5 .
Ns = ¢ G4A_/2 Fi, equmn braced agornst srcheswey
Kla ¢ 7) «JS Q r
= < ze fae) anes unbrac 3 fa insy vicesay
Lert compur Kt Wo SEL lec) or.
ZCEL fl ) bearu
aad phe Far foad case (bloc) We need Lo Compute
kK Fer <olumn AB; Whereas for the second (oad! cose
(enb raced) ae need Yo corngere K fer Ooth ka
dnterra’ and exterior COf4mn since Be Wi// compete
a moment maga fer jor Th enh story.
Zico 2 0.7L = 070 (BXCA yg = 4552 197
-
2
a
Fy
Fr)
“
°
>
is
ra
>
3 To 203 zy 2095 x (8x80), = (4/75 int
z 12.
FA le = 4 ¥t 4224 28
z C = go ft
' 5 2% ASNS.2 //4.
w ar colimn AB Ss = ES ZAKS.
s 7 hein <2/) Vows = Voot™ FT gi78 730
2
yw 2x exferiOr Colvmn st = = ZK/BS/S.2//4 » 4.399
F pee Veep ~ Yoot YAITS S30
g
<
7 Load ase / (674d) » Ky, = 0865
= co/umn AB
Zz Locd Ca Z (nb roced) Kintera = 763
w coltmn 7b
3 B expnor = 2/
Fe column
6
a Qa) fer soad Case /:
z
5
3 kas 2.865% (14X12 -30) = 6.6
x e 25*24
wa. ait = £2. Lh as
r7z Ca )
‘ 4&4 ¢ ga_ 2th = gm Shackiness
a riz
b) fer soad cose Zt
~ Kee ~ £634 (42-30) 5 o72 dz2 Skader comme
a @-9K2A = ? a
< 10 a 40D moment
z magnficah on methadt
; can be Usec/