(a Deter nate structure =
é
= Can be analysed by utrn
ate) mg untae bel no
“of clate equilieriem
auBilableeg?
oS aire egs
o/ na. o0f available eg?
| Ty he pe of ctobe £ kevemabie 2
pe esesss—
aL: Eee neney~ (Os)
ae De dee etel a adh
| resp lo available 9” o, regs. Phere Pre Lux
pti ay
(2) Se state 2 hue Lo erdern2( CBee)
5 due a aexeep exces ord ree astnaas
| © Be pree of shatee tncktermimncy Lv? ty internal Cost)
Gwe La evceed of memh ero fares)
eno et Ogg eg, uuu
—
| 2. Degree of ki nemate £1 aie
i [a lapel fects can e find wf applyeog
| ie the churets called
lectrons wr ant be Fendtemcible
ee Alpe sa condrtron, such strvctere 2s
—t connate struct ere, Be 7 —_— 2
real oi fee ms ~ wrt! deame 2hine are mentale snextenersle,
“phen m! will be gue) ts unaber df 6 beams to He
> the. Phe depies cP nanenadie indebermsnang fe A fined
ae 0. number of unknowns Celefleetrenl Maps) ewheeh __strvdore.
cea cada hy corpiby egne,
@ tfealumnealsne are mentcened ax:0lly inertenss be
eee eet oF eoluatlas tn the trvshn
structure __ssait: kK inematte Le
Td etenuindrey Tian fiat ed 2/1 eaembers are inectenshie, then m!
a Lee aes Pe ltt be stem af Ul Se nen Bn ean
—__[@eansf2a] ne -3 =e Banna |-— ee
—Tenameloo[ re 3. | Se- [ota-mi th {iP octet nin Zoker 36 2070:
E 50] te-€ éc- te isaaaaae oe
= Truss |20| Fe-3 m= (gps)
aa |32| n-e m - Cay-6)
| el = numbe.sf-axiay qnembere.
a fed ot
— ene cen ‘hngehnadenEndernal hinge ts cong
(| ex jor € divide the
“member tro. PSepDrake oy, :
| Prajornted Tru
Oh erwise ~ Franached pin jarrdled lave cs
tale eel aPa gee Pale
? . ST MATETY te THee oF ANALY ITE J
ical Moanin of stati indelerrtnaneys aie ate pene
a aa _haveng Le of dobre indebarncarcey « Lar cokabitren
jo fioding- 2th th 2 he Lrees 0 diftares! computer € tractor?!
£3 ofasore, this raethad. oF anelycrs used _
cee of Sate Cama pert are two ways ng oninoan yeti eth
c Hanan sdesiiee He sto,
—aralysic subjected! te liao. ~ He
7
Meaning inenatic Lr So
fis exibilit: cibilify en 2dery moet 4 eit MD of he
“tg ais) a ot sete ee pad {Compa ly “Qreplacemen? method
qascig
2 dhol aw reguired 4
5 dLastlopd tn the cteucdses tat mith —-
nt
method) Egutlebers eth acl)
__lsdene, which sus foo SS 2n thre method, b2sr< al method, fe.
: _—__— = nawns Bre redende une are ois plecened
- | farce of jarnts-
7 W Llevibility Matern enethad zs -
___} Ph Grow se one of #1 acre fe 2 cr
= oP inde, ructer ae m0 énvelvet 2)
; s CEecrMEEEEEHE Sieg iia rds de whruclare
*. ~ — — b ‘cally inate. 7; termiar:
= structore,whreh mich be Shatrediy cteble 1s referred _
as_primnry strectore. The excess rectrarate removed. |
; : a 0 Indeteroniate strvedore ¢a convert 1d. inte a
a . : — set ‘arary recluncland resdewass
— = — u e ore ar tnteceal, coc ebed bss ese
a enate mre ental redundant, Ponet redduodaral ae
_epplied at unknows fad on primary strectere dé there ail
.
__valuec are determned 6, Oy sabige_compnbiliny eguatrens.ie asthe
ar_alte knowin 9, a 7
Z A “ ww lershility Lt iffave
ftcon . cpecibrtYy of threcbure re dleFened 21 the duphe
"jue ta ap plced farce. esherene Sti fEnott of dived
ie cleLined ne the farce regutel #1 Pradur the
piven deflect
Phe above of acze neta’ aah ctenater the adsspyg,
eo
Pree applied L can be represented 90,
ce method
a. the dezermatien
Compatibility epvatcen of Ez
Se aaa -
Sz a=: Sin a Lewin the pint rple of supetpascl
- Seen Z primary ctrucdure die Ls combined of feck of?
fb oa fin Lindon dp iver tarding raise be She ceme 22 the
defer lian Of Lhe acgtoalLodetermuiate cbruchore
Thie_canditren i: £n@iun as_camipattbility sndi tren:
The campartbity eguricin of the farce medted far
ip bcedly tadeserrminn be thratbure with!
reclundand Li. +P 2+ coardnaredlrrecton
nt deo are wurieten ax fallout,
but Su Pi +5 +SanPa
of Plekdbiy enaicx t_the
elceplacemend nid farce 9€%7.
ciheckety moder bine digponal aymimetiy Sy 2 Si)
be clement
PAE sovere modrre of grcler'a’ ewhech giver Lhe
farce carcespanding ba the diplriement © repreterted
20 _ Ane Aarts San Pa
a. ‘An = Age +Sni Pi +SnaP2+ -~-+ SooPo
+5 ‘a12 displacement of 1 coanlennte in_tndedermabte
je tement kip of eter nese matily gt he fore Sere
pee og x Sipe deaprecementofw due to un force Mi
4 coardnate “dhe vnie dspliement- ot.
Ar=displaement along teem drredion
due ta rion of acival low tn prinmry strvetore
Then, . Ls ibe
[a] + fsiCp[ !
sta} t
fe fae Sia Sis
Pea N _# Caleuladeen i
¥ et ade spe fmm rele
Sy Sy Su
» Sse Sas
tres.
“Ans Ze BRL Bet pS Sys ZBL Bebe
1 cles
i ees ne
- 4s/ [o SS Ee
Baton. 09901 __ ‘Coasider the syshem ¥
[Si 5, "fa —TT :
fs te EP Ft ee
Bl liy s6 Sn} Lon rd A, = Sia + Sn
Pete Aa = Sef, 15a Pat
Wren cypeorte ate peolding egns_ the. say ff
2 ae aay ar digleement Sr a Sq t Sofa + ~~~ SunPo EEE
~ za ant cordroe 1,243, then, aoe Pn m9+nix form —
— 4s fa Jo [5] oe Er. 4 [53a --- So [Tp
—_| i} [sz z Th ae {= [Sa Sen = fej
a Tord soaks bo Lan Sno — cs
Sal. [s]fe] --Qte
p
Determine Megree 2 ie tedateonoanay
= the retlendbente ——
choos nT gunk Lathe redandars Parte reson
fA nacbctatle | te setndant fics Dad get bi
choberrn tsa festdr vitae — =
leterr ne Aeflection 1a ordind: ate abrenkee pone
ee atten rte ede —
ener
ee el a
sass ae agp Pisce Ee
(p= CelT == Se S know “redundont JZ ne
eng en gf ctobre 2 puiltetinn
“Ong valve fA famD tr eg’ D De Yan ue nai: pgate benno
cH - < mettad Me ae &.
Cpl = leITsID I
2 le 1[s7 = Lp. eee - WApalye the conPirvars beam chown 1a 4,
Destiny eaeen me sail Lo0ks c
3 fed le7s [e7 --@ - [a he 7 =
where,'r Frrdlentny mot. v is
on =—an Esme 5m, =
EP thover erred rela benshrp edaueer Salican >
- xb ihe atin ke SH f nets m2: fa under Pvoknong? ren = 5
ay uc that, flerikty & seiffoets reek 4 stat) lermimrey =~ 3 = S-3= 2
7 rre_inverc each” other. z Lo Aes mis 2 i
poe Hu (Lek, Mi & Ra be the redvosh a eeer I
Gruen indeternnrny bare { Mimade = = sasee98
structure =< [beef ee
= ~HEsy 5k
er
2.33
©
ee Pee nrars
Strvebon oe
Ei Be wishes redundany ~— —
< a fieite —_sussegis redundnas ~
See es
: _1 Ss
L— 7 Pope a ye Fanss usa]
fe eee — pai pappufinaniinad
— | at ep ea 8 EY
yp Sook palyng foodie [ef [as So] [fet [aed -
10
ai i trex 2 Ser Te ef [us oss] y [sese.39 Jos
ce 7 : = Lee] fe33 33, [neswse j Or
Table :
= an [Ri] = [asr3as
[Symons cw 46] a a [rave]
Origen, c 8 w Redundands are; Ry =I8P-B23KN Ly > 27-276KM.
— Lot | ons oo is
ee meee Phen, = weverminae sdruchore ps converted rode,
[im | Ls 2 | ca] took He
Z ms | % sie | pe lp :
er er Ec Gar ® Ga ——_Pivases
‘37-546
q Taydap thayeai fis own to fips
of CET—oripaty.
an ie satath tanasts$—~ : : ;
ew EET Degr yatic indetermntrangy
ay 2 124-23) EV
Number of cedundant. =
et, Rav, Rex & Ma be three redundont. Then, _
Be ndeng tam. dd rag i
as.a¥tf Pan otherguvestren, Tf 4 ME prpr: 8° POTENT
[ -55303
Z : oe TB Spoor, Fas Sat Bas sean?
2 Sens tide = 10 0 kin
= er = = ma mer np 29s oP stoic eh ont, ;
Sc f! mame = era ap ene - ae
er ~My +50 ¥4 + 50x x) = 55.365 Z| oh
eee a =30.04 xy ~ 55-409 x 220 am
Flea nie alg Sip age Sz 160 kum | 7
i Ga - ae
Gy Se Ss [ = fae dA iy
S25 Sp Ray = 2aagiv € Bays 35290 {
— 22 [33 se ay] ,
eee, & [ie ay Jo oN =
[ey 50 4 = teeste
togay = F091
ae
eae
BM = —Ua3 eum
Pram compat ae oe
[P]= [sTla-ayiin f
Le ste ~ ‘ <<
“8. Use consieot dlefarmattan mthod amfyze the Lends
arate onan deen if socined bats WEIR ey
fad te be zr char and the Lesppetawre Kye,
+ ‘bona ic rated by 15%c- Pake.£2 2208 Nam's £09 So
Cacia are 97 a memberca wee
-Fea- 450
= Fog ~ 4 cass
Foesin S31? = a8
Ban pésuppars
4D 2 Mg 20 9 Rex by caseP ey +Sin s31F v3 =e
D Bees 0
fea + Srnssif=0 9 Fea= — SEN
22mm
Abese = 4008 x J0-8xIT KIS
+ 648mm
2@0_kvnm™
fue ta mirxfit Bean = (Ane
a Pi Chonget, (Acads =& -
9] TT] i
Ke ela lay
ay agra g | be
Saas 5 Zod roetbdals
Saya HS a =
Be i td ti pad —
A mans eo sp
a Sie Bass oda 22 iene ad. nt
He hoe do i ft hp
- sat Ugg thin rnedhod, basic takeitiis tiie ‘eons of
: iv deflector Gt Phe Cal j2iatt. Cer. vol the
ne
guilt beim CaP
nl Sanh
[AE] rae compability 29°
[eT acne Ar +44 50, +
ob got taf bai hor thoy +S) Bi a
—iccde “peloiran of Hite eg?! 9 ikeL tinkmauin.Lhpe
is
Ie olelel [sl [es] Susseterrae valve,
0-4 Costas) 20 40:0954, 40. 00%hst
205 Ry-A 0°00 R, =0.649-6
9-202 -4.036-2 40-0098) 49-0/53h 6
+094 Ry) 400155 Ry = 8s
Bn, Ag, A, > Suppor LF A a
TN Ssln ALO, inte op = a :
Q2"~ 25,560 C aie RE H
Ry 49.4657 KN pple eee 7 ——
Praalferes can be ene nya tesa = Fi 1 9/ clerir ddrve: #
SC verre oles ti foal a
Eee eee ine te ebctte cece)om OQ 2D. toe aaa es
Er 265 L204 + ©0 aia) = ==
] +4025m ae SRT =
se
TSS ape ong, Gz = 0.004104.
eee put ae EL ENO RNA ————
gan 1500 x (01004) $4.6 XLFIOX Dc ~ 0° cern t aaa 7
a 7
Ge = 6-00 504 rAd a
Shear Larce dragram,et i f= |
0.00 2F er ~ eeeeae ca)
z i
D oeas er + were ~O)
0-0024 EF f O-LPES Og +033 EFO, 0.002867
<6 eee =o
=I ee
ser Jo.gs€rG, —0.0004fL —@gezeO
—$ ewe, et
[Er = 2000 x foo00 -
= 2x0? dem* eee
OD, ng Slope deffectron eg? aime
eaer [260 +&~ 34aJ + 0 29 y0d4 + 6600 5 ~~
= ae
= 2er (2x0 4 O,~ 3x 0118) 7 ean 20 5
oH © 2 at Mew a
SOWETO, # O-0024EE - = =I) 2 p.33 ro, 40-626202 2 oomrer Jeeteg — 7-520—
heya 2 2x2
Sper 5 Bap Ra
7 en = it 2
a" jaguar sae Saft 9 Bese Cag an =
2 a a Roy> =o
a go 2 ann
deo nf Elev) Bed Mo ments.
warwg yt = =9aRm
(Pemae = -10 x05
ee ee —
ca fay Meg or = ee
sasha Teo aeeeaaeiaasa
ae Dapp hos an equate HEHE.
ZI i
Mags 2€P [0 +@3~0J~3.2 > 0-5 EPO, ~ 5-2
+ a
Mag 2 2ef (204 +0-0] +3+2 = 0-S EPG, 43-2.
¥
lac
2er [20,10-0]-5 =t33ErOg —u >
>me: dpa? ee mala of ak ramus
ea gS aioe Simplifred by fre eitor
rly Crate 272.1990: At A aetD a
crass, Lacs anetbod bt Dieser
ype pee Hari
ee Mege pase motor 22 szamntatdissdetzen, mod By
— : a
ee hisses 2 tu lure ede eee fe
Domo freed ered moment. Then, ©2C¢
—T ale oa Latta ante Tito OE
Tpaesued.ove Aetbeted ta agp aeent member vnisd epi
—Teguttien 11 bripnicd The men 60 mathemedrca/
ene cop be ctaoansdittet AS (ei Gaal
Le rt of crmu/doneous epentean ly pears
gaa eye
a ee
a, ule! [s
cai hal ys ka pick See |e A eae
eT
4 Bee 84 4 le “Sle “6D crlered/ ot
r gD aD locked é font
pris Zu,
A_monent divterbotran metro
2c applied 2 Sdrvetu nl por
to produce rotation wiped tronshher
rs
oy
Se
7 : : (peu diehrrbston arong became z
ieee ee Oe Stee i ber 0 Pho on ee = oe Pie
pig ar : Sear preportres 0 Phen ttt :
vi) Calevlotren ree, poe ca 2 sae T ce
Phen far, Ae ebtlene ararnent- pled £0. @
24 Lhe jarnd Ln app roxrme teh red fy L)
24 the fame, athrch is “oalted dee zpibided manent
Apso
#221 Ays Gtk, Cy sd, Cy 219kne Aeflection €9". Boo
os ET A 9,
Tin 2261 2 ae Mage
Tiasaaina Ti Teg wea meal = 4 mmc i sends 4, of dctriboted moment with
2 same sgn:
Ss aa
Ly 0s Ja ctor =
— ai Far pissoadic menber. fegzcere or_stifftoen Focsar pe
fe ovcdoral mene em. 7 on ds elefrned as pe rate P Mo? to ths gear.
a. See
age eee
= Tegunt te 1 maments one rdoaly, then the 7
i required 6g 95 to rota. end ty ina oo
e ent shpe 1 19d) called SHiffresf bb 00 Jp cer:-
ieaaade: eradro ve ib fnee ern
tein of mbtive stiffness meeding oe:
ony er moment a ee eA
fH 2, ed 3 one end member, SE i 27 a
ratilan of 1 fusing the farénd,some lhe. frend is bsnged 0 coil #
tnamet 11 developed ob the for end obrant bial, thi 0b = 0 LSvyapuid 11 fypged 7
omeat tt called com 2x (26166-3496) 3 pez 0 ft
= 7 6 Spe
o
Peco ey
—8 ee
was =
“hatte? fet 7
eae EP eae eeeeetet eae » Cah of alta ee eee Hq
—wenige amend diclehodcn enethads- Teor pint toa
piel finda? £E ta pe ee epee Van. fis = Fy,
b Cotlebe dosabedeen Focher ey he the (ED, =
Ht - oe
BEM Jor jorose. Apt ‘actor Ble. L Vac = Kee = 29% 20.572
&) Congider prin) eguilibrrem lance the mament Z Ken + koe w+ Dy,
alco ry over mmme, Ipgible. Aor
9) Fake the sum of moments to get phe Sa fe Begs hee = 0-625
monet fe te ab. hea * Keo 2, ke
: iP Aeon tb tb 2 BMD Ind elasdre Curve Aled ee ae|-o-429
0052
fo-076
= 04038,
-0-018 5
la-9e1a
tect ee ML fe Tae fame 1.420 Pesta
ment of frame member
fai.
r frame member
2 ays z i
___> Phe frame ce catd t be . ay h thee 22 movement
nes “Sl fe fo a i fo ack.
ie ne paces al eames cay det fay rts —
tO Hoe of rxn force. (O Unymmetne! [a Seca
te Any = £054 kal 6) ue etre puslis f ?
~~ = Ray + Rye =2.9u0 #6126 = 9-074eK) Gi) Biflerent heot_of calemn ae
Rey Reps t heya 2 5926 +) 916 t F29 KM 0 Alon vnifrm section a LT owy
Ry £08 tn oi 9) Hartzantal laadiny on Colomn of fr | He
W)_ Settlement af support of frame. I
1) A cambinatien of Phove7 ey
this ease 2s abbamed by |
bem of famed :
pont or. ee aera > The. swsay force” s £1" pete:
A —Laniidacing | “hortzental egu!
ee “ie WH) 8,
ie nso op pts lyfe na baad mtipy ex |
: mento colt premnd care co hy figle)s we hover mitiply erse
a pany TF of fipte by-sartbant Jollee. Sry corr0ctron Partor Ck)
an ee bn So pach os eer
ava) mannte Zhe ee ———— Achy Hatt 2 bing
vi 4 a ee
ay farce ‘s!cbealoped ad 2ste “of. on
‘xypparke
2 ally thon rma aig ila lel bang
4 las aay fe the bee aly Zi
Is? n moving the b
= Lar the pier turey frre, Ib te aif prev} 26 fond dhe =
end momnerke doeslptd. pence Pollawing provedyre tr dg [E991 Dypre Frame / _prger Suay
Assume 2, sury £, Phen fired end mameny Coren swey by exbern Support forest
clerthpd n colony ‘he dca Cn fegd) ore, 7
Mp. = ena L My, = - 6E a a tt ind oe E
ae a z / mz ia: ,
7 @ 7 vad ee js fe
> Phen, ys (ue) = DEY
pe eee Bhs) Bar
Maw, 208 popes a he 2s
flr Me ere ae naa
pes ae rte Cf tha Mae Met
— beste Fenal values (fog ed Than
Mas Mae Mg :
eee
Mea + MageBEE rf \ HN rst
rath A
peg teanre! head sree
Agro hy Tom] A 2 € tet
lwmon] 48 | 6a | 9F [ea | wc lea |e
Tar | 0-3 [od 3 [o3a[+ lo lo
z t
ren | —10 | 40 | o 7
alone Ae | t
col € 4 =EE
Boies ave | oe
corona bas [eos [ova [sos
Bohn “ov shows sos
0 | =o-n5' mousse a. 906| 07% [one
[rn 069 [0.093 by -322 ov2u [oan Langan
one a 3420-04] [ovaaes ovines lo-ovesfovae:
one Pacaue bonow Lo. ey ooma-acinl-enonsera-ie5|
eer asas | 22es| +220 [ene] yeaylrenalens934 0 leisy ose
a
7
: ee petty Room
2a. qi
(FE mpe = soknim
3 Colelntron of Sixtridubron Zacder- 1 Some aale
oH zs
Sea =
Vz 203 £ Vacs
Whaat
—Caleviatren of ren farer,
—— Seo 252-26) “35-8354 Ray xy -BOXHAD=6Y Roy essiynn
T 2h eeepc We0 2 Ise +19 -Keaey = 0 > Reg = ¥eSBIKN
Hy HX) D8Me=t 9 tug AVON $Y697 Rey E20 9 Reyy= apr0eed
| tes th PBs ADEN 503 = H0W8- 0°50 +Reg xu = 03 Roy z0rat kW
SAD i FO) ARE Ez0 HUE 933 dun APS ~ Raw Gaaeal
ae eee Be aia“Calevlozran it utd end marnrat,
(3-3) Atte
eoreuiarron tod,
2663 enim |
Cnr sary AA a Spat.
Figs Susay preven
Han = C14) 20°F) Ya a Sheercere!
CWC x05 € Yew a
é 2
ca [co | oc
os | os | 0
«ed
ay | 339 :
Tea
oat | ovng HH
|
Jee Loe
_—— ama? Trae
F gages \-jauys [3-537 | 3-55 | eRe
i lesonnentt|a
Bn | 6
os | oF
={
5 | 5 jn0
28
22.5 |-2F
Toe [naa M0 -63F
r29 ni 212F looses [0-625 | 0 65,
ETE 30x22 oer ovsyar [0-150 3-315
2 “2 Hpells3 1/33 RA aeereae.: ger star|-onst2e po. 0742 | 0-981 =
2. ime ng20 3 SSS ALM = Mex S20 | C10 joro7s! fe 099 |no-038! v9 039
3 Ha = hp kn ee Bolente b-avas jo-ores|o059 [avon os
ne snudergy ea pthtte cr, erred Pe pa. 3ee oe ay ance [to ee | IST]
ni 33 + 122-450 =O :
Sz -2oeusenl SH orrzanaal Rav aii 7 an
oe wally, Shere re Do Agrrzonsal Pessctonce 946. Ha 2 FEARED 22S oo
cia £0, curmy perce 5" pnoves Phe beans lopeadly. Tareas ee
He = 10-t Hb? 28 FIkN
3H) Swa igs a 2a PF cy
dex Mey L Mg end ms ment 0 Age & Story force Cs!) B iy ss aera ace
Pep esively Ther i 2s! eLuskw C9)
My 2 bY = aryst s _ Siuay correction Joctonte Sfp! = 24 .as = IF
My; But 2x6* 2 Pee
> let us assume acbitary by bn Hee Member | Ag of | ae | fa | Co | &
Me s0kwm £ Mys = ~orkwe Moment (arbrtacd | ~e-¢7. [=p.92| 7.32 [40.07 | aoe] [dss
Acti alway mon] 54-9 |-ys-on yon lense [ensr | ~955
: wo ruey moments |-20-yn |ta-vy |-izty |—3.5y | sory |r 2F
a ———_____—. _ 7042) Moments |~33-7¥ [-32-58 |3a.59 | 62-04 |-62-04 | ~gr-e2-acu afordrrofe ta why hs, promen! ee Sean mend,
Doe vole oProme Party. ” Rg t ofee = JX
if aod a= fee ee
yn, feo ipewsel cenpeaa) PRED TE, E
Max 2 Yee
et Muee ¢ Bacyau peauiials
‘Dustaser anal ’The infvence line pecnce lr far ary cheated Wage) ha vale Fame pe get thea of Bat of mfloenee
Bigs ctrocture such ar ich enc Pt, Sending Ine fictach oittance et aE
em any cencbrcefae gr taameats tepid |
ine cleflectedl cvive Of @ edrvelore Obpoin) (212 £2 ——
- mpuine of unit bed Inthe derechos f Gray Prom constttent Lefarmotes Po ee
en! methsd 4, ae
: sat TT a 2 Sa = a eee
: r Onit lad PR?
= FA it Mae = Box 2 7
a_i ca S28 _ z
=n ne Lammaxuel! soot"
ieee! ae Foe rpracel th encen “
; ee ere Cae = one 4. _§
7 ee ‘ rhe He cosing OnF# Moment RS
iv a ii ‘ 1 ms ee .
a ae Gap
deh ee Tye Phe volue Prom abavi al
Yoxz Deficient dee fo inition oe ©9” prea the ordurk * 2 © —
Nae = 0eflectren at '6! dee fo unitlaad WB of spfleerce Line far Unit load at seidestonce
from ev
Deflection ob? clue dy Lait ood of'xt
Deflection al'v' dee to Unit [oad a2
Lach obs dance ‘we! —I [\ XN}
so La. Be tet vat of Im.
— ste)
~ Remaving “support rb A ond @pplyng t it load
-_— Also, foam rraxwe// reeiprocd theorem. _ Hee Fed
Yaen.= Yo: Ter at rece
Then Sean | toe gp bte Perle
Faz Yeo [a a 3 4) oaraaar a or |
Seo if _seepe
_— Phe valu im the Above equaren givest Calw/atron of txn in _conjesere berm,
a ordinrte oF conjugehe line er_eath dudance® 4250120 Lf ort.
aLixaxe xy = gixys Rela &
z asese
prem 506
ez
Er €r
ope fete
eto $1
nae [tre | $eo/le
0 o °
hy they 2 667 - --@) 4 1RELEL out
S : wer 133
=, a 7 1-94 en os
¥ pe 2 Ray 210-4 e 7 4 £
tt Oe - 0.386
- é 3-3 /er =o. Fit
~— on hye of & 3 missle. ee
2 shat of cxugte bean — 3 2. .
= 40007 7 ae
er i — =
a Befectron ae.
12 Mamerd 94 port 'x’ oF conjyprie beam putea
"Neg cigar’ >hag 2
1 Wap > tla at ~ 4
ale i .
force i
Mp2 23-33x - L xxxe nx 2 tssse - 29
Fe a ee 8 €2 €eF
_ far 46 a
f Met say +4206 — x3
ONo tej ér és cet
| Ret 1
Toe IU Section | 0 A a [stu 2
Caleslasien fran force, ont a Yoo | 0 [es | 4 [35] o
Gpsh 20 CRrght of a7 Peat ex | er | er
Reg es bal dL Ma = 2kvm | See] 9 [ovo [avog2 [ovaga | 9 [roves [H°™] oe] 6
Dame co Ciepdpa) ee eof z
—Reyry = Av
tape the Pee eeeMs Ve
ft ens der two hinged arch oF open 2 let b! be the
——___sentril ntre. : ’
Two hinged Erxel we
Arche ~ Ara
Here,
rch Fas aad Hie Blanton ———
axial compressor 4 4ending- ——
: = Phrech wpesces sealarral dscally cloberm ree |
duo heagl arch £ fered ahd are ‘deseminls?
_—— hag oreo fireseg
ae)
Cer
~ prem ba0lh methods, we dn obfained Same —— jf \ as st Cena?
re. (fate a6yiven 1D. fo _—? | | r AY \
‘wt Arqged p272hels Arch erast setter VIE truth @ £ury Hah
ee teameee eee
ere, Lae Moment G Bnertt2 ab seeds
3 Anatysit of #
Ha e | cee P
; ft
D7 Cege@
3 oe yee \
0 Fad saa
Tray FF rae
—Consiaer 2 ype wal pasabalic chicks —
i, cond (A) a2 arfgin the en af ba ac.conitant, tf =
Late —_} Peace
at eyde(ine)
7 He MO ye aha yp
a Cupports
le play bea sate a areh and eo nile a
ental length. Lee, 0 be the of are ret FH Peer re
the bortzonte] af pt 7) ae gree aoe ae
dx 2 cos 7 ) Lo .
oe all a y
= — a 8)
des dense pe ‘ 7 as
Phe harseorta) thcart Wi rs grven & 2
J Lf the. Te fs je ke
He [AVE 2 Say * ; fe we clase & yield by ki dee to
oz. e 249 / rt Jove
al rec ® — A=ki ‘he
a & a iat :
kor parabolic arch, the vaber of 8° a4 the springhn
—teegriate than 9 dhe crown ib Ht Bicws
oehag A
bg N
Sof tee
4 : ie suppatt with glides Fi pee
Prarie ees EEE erect anid bertzental #hrvrd, they
temp
ra both jyitlding 7 renee ee an hag a
7 consi at [ey eee [ee CE +f —_
Boy ‘y2/ds ot +k See reb shortentay. :
St tee FA, : -
= coh b ay reteteng Papper per ont horreanbifen Og dua hinged pordhalic arch Fipan 4 2nd rise b
Cm wo aiedad 6 ev asagtet ade oiad Aiea
= Aetermne ressien Por borizantal +h purd dv
#4 fect Af Hemp! changer: A Sorin
Let, a= coefberend of Hhermal expansion AF Cop seals,
a rears EE ae er
— Thee de te theepe 7 temp a ethizer 2 enncen . ee
Bes ep a. : peeenes ——
fe — LaF tees hepa bing atthe of opp nb ee - eee
p i Yqe tt —_———
40+al_horizo ye THPhe general expresiie far harizantol Hpriny
~ r_consdont Phre eghowt seckien ofo~
eh
reguired expression Br fous
___ produced tp an enh faving asl
et crown'ct ze
BA tua beaged parvdaln
EA. sped 2
dL ae
pierre bie
Sku
Ee Mg ee 6Séat
rc T 4 aa a
44 Jute ats aunt cath FMa = 0; S0x20% 19 4.120% 55— Vana 20; Vs 25K
“ s 4 FI, GN) £ty 20 5 Va~ 30x20 ~120
5563 Vy = HESKW
7 ieee CCL_ aan
oe mgasiiee LD ogeiree mamerts
goede) Psst Be tax — ger nani fear Gore
; 1 Og a BOOT
asqP— 560-602 xb. 01K (40-0).
The hare
ese
(3550 1208 eee
hx xx (40-0 _ ci
ie ace iaag = Eed-cet ag
Groire Cyo-x) 2 600 —20nek HP —_
he
Pee ° ae Lie =o Pevrres
= iy de = 430595-9F ove
Sepa a BBE ty = 605-96EEN :
~— ate, 7
fee for portren AD,
Mn csr = 508 66g y Pe
Prunet gigheh
gOS IS: IS =O, 2 9489m z
Fee a”
Ht = S60. 669 kw pa Aeie tae Serer eee ;A tua hinged parvalic arch of span sore £ re sm A
supjectd t0 2 central cancent-rted bed of eoan,
"has enclashte support wh;
62 200 t/a?
© Average Area, Am 210908 ane 7
ae ca 2 tortot fc \
TE aacunaiag eta ntvarieian, calulbse the farcanh
ent obetelapedl_nsbren temp! riser by 20°
Goneplecting 1b checteniag
in Gag eit cherie
a ater,
fe ine (50 a4).
- prs
Be
ich yielde bo 0001 mmlbn.
T1209 mith,
o.00ke (50-x)
il 308, = Figs Two brag eal por
rch
he
SE ee
fMlge ex 00088 Csa- oe > 28125
oof Ae eee
4
Er = 200 xptx 5x iInie" = fotknme
Peete EAm 2 200 x1a*x toa vio &= pene
Heo ws
= $0 yo dy = C6662 = E6CxIO nee
°F fof
—fulyde = 2818 2 0.0981"
re 7 Le 0.078!rs ve etut For,
‘ergs 50 ni2yioa 20-2 0°01? C+ Porites, ye 1278S + ov912
> eat mary beeen?
“he go00s,
Conerdering yitiding Spear anly,
[iy (he) = epee
cae 666 r/TTF,
e1.95R kN
DA apg pb sherbenl ge
. He 098) #00012 -
6 ger 10 1 #910008 _ fecrng Pi.
ary TS Gansscle crag
rene hidshortentn {
= {uly &)
oe gd
So ean (fey etre s aad :
~ We JMS pl
te Z [ a Ely
oe ("er Fan = a a ~
. = 0-0R8/ FO+0I = 448. 38 EN The Ones oe
a ee 6-€exso-%F So 01008 Clery 50
arse Bee 2410
WD AiFhovt Considering all effect,
= [myde = RPL = 1P-267 EW
Geen j0F
_fgyrtyer a a
ji iD hirthowk ansiders 10g yeekding A Bb she re Es Peas i
oh ¥e Sree ee Secu : i :la
{
haope fection a
Die Lerma chape fatter may de ob faed &s the rai
“paste cement captiiy sega eaten! 38 C85): toe poxiox(iem L
7 [fsen a
a
= s48¢40¢mmt =
Ymar = 20-38-20 = 203mm. Fer calculmtron of My, we haveta caleviate 'Z!
ais Dect = 2 finoxs? t120¢5 G-5-$5)*] 4 20x10 400% 20%)
5 fi He x 21108" 4 109% 20%
My = = fy x Bey jot = 368492 or oem
7 ae Fue 896x108 mm =
onside plot eA Lies on lange of 2 oheypan Yormx = 55 mm
fearn top: he koow, Then, Hee
Ay = 1 Ciz0 x10 tnoxMl
ote g76 x10"
See eee oe
cr
At eve teow Aho, P.AtA eee eeeAg,
oeeeaeeca @soxsox (25-1972.05'4 20dvst + Gonsss)x
a diivece Vp fram wy tetas
Sa us0ds Z100%339
0 x (A92-06~ 295)
; Ze py ypgennd a oom
4 ey 5 + 50X20
(20x oe
For ploste Aw med (Mp)=
as eis im sasxa] he 24.2 alten yp Foam tap fibre. Assume
Lies inors 259. Pi :
<4 Sof a a Pot ir ts “e
250x594 Sox (Yp-50) = GEO 4 2004408) HF
=e C Pee
2
Ary +
Yp = 225mm
Dor assomptron ie Comes
c Mp = t+ fev t Pris t fre x ty
we & 2 i + 42 Ye t+ Ay Ye + Ay Vy)
x iz = Fy L280 x50" (295-05) #095 x50) EVEL
Ov/2.5 4 SOx yOox 50
2 4 ag1250
al — Shape Jactor Co) = My Ere ree eee
M4 ;
ae peel
ea dep ee
Eee oo __ for ce ntro‘d ——— a ea
eau —F *decle tis s S ot uatanaaae
__#59x50 +50x260 + yooxso
192-06 mm/
# Collapse loads :
ia. eae peceid to bore callyped FB wp sheet ey ——___—__/
aoe . etek Me sincbre : re mnethod paswrtadle Yor the Dralpass of cdrvctere or
whecs dhe shaped? berdrog me Sa
eps macnn ae snfe
__enprressdrvetore &
__undeg rng nln ted defarratier Phie by
hen the petnb ee P irdepenclent ttarre F os thc munnun Teen
__equaven more than the. faving al fa pt nena aiastanin bendhieg tame nd wh
od wean caleulate SRE
condition cle velaps re cab Le hens calbaase BEDE ba
a a cane
tet aie el i Sg a ia Ls
—~Calignss bad = load Factor x Woy heey baad ~—“Zyipe to = a fie —— +» et
Bars : Tp aenacu ie vom fr dhe 5
5 i sean Pap elated i —
pstaiie Pheorem? We. - eee fa
hye Werkrng b
We = Eollyy 2 ey seen
> lower bovnd theo
4) keneme: scorer: Wd We
> tr bound theorem:
(© Uniguenas dpecten
Te > We
Uk Metbods f plastic Analyst
bared gueness dheoren,
~ metho of plastte anrfysn:
8 4errea) method
b krmemerte methed.Fee wr
YPisprey xy weqematicnetiridin iz
Ate etod tard whan ascurmed aillepse
mechanism. After collapse meckarsem te ermed,
“here con eno charge oF curvatere Dany Crasy-teches
except where plostte hirger are Farmed Hence 29
se age ‘ec fffen tite eacla jb offer,
erined, the rpdernl arork Ar
oh agp at tt alae iby feces er Late teria! dp
fern®/ Workalare _
e wa a a the externa!
, et. |
- mH. ab ehermine the £2 aes
— petenen tee ppb sity Spiel —
‘Ace beam wil! form collapse mechoorio, 1f @ se eee er
poe 1 farmed of Jrsed end @nd another At — : Sees -
ortren AB. Sence, partie hendrng mi 4 + rateeeeee
aximum Uneler the (aaa, inner brege sl) Sant b a =
2
rgb: collapse mechanirm
elo peximenm uncer the foe
Aoie atl be note te lox 2 sehown 20