unit ii - analysis of plane trusses and thin cylinders and shells (1)
TRANSCRIPT
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uNtT- n
A un Lvsts oF PLANE TRUSS ,THIN c,yLrNDERs ItuEr-r-s
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Tt La- Yus*f\ng Yontz ^lt't +l'\a- d,,l*arrr-e-f-A oB
%and!, r?72-es1JJ12 x'. fra-e-,q
os esLeg9 se*f efnG:r-e-e' or\ u:rJ'c*r ? kacn'n6;( '.' Y \4 61c-fr'"E cY\ Y\6JLtp-A
a.J\aa o\x A )
fbnca A&-e*+a 1T--*; ?l-4s'stu\e)
- v x dxlI
fe.lncr- d.^ra- t'l
oaprako{ t 1
= p-at,[ '"'irt
e-r}r c.rrr-r&p:rcn ifaj *Ve.es;),.otfi
-Y'-i ckt6 -
x F.nz-q
fc { (-txb 4rrt)-* 6e X Lx []tz, e { 6' 'f 't& e(i)
d: !4. -urt*fi
el*ncsrneu-rua-nh'el bt H#P gw&3'
t=j * t'
p.d: *-
d'c :
an-:.rta-] Paz'*uazWh,P^-a-, ? -- td' -- rnrclnal dta*naian o+
ot, g{irr'd ,$na fNq,9ta
6 -tt- rt-- -l^-
N lr.,rnt
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-
o$
tlil " t-on 6;;-rai rtal Stru-s s '..:l
-fVv
*rrLz etrA;nAan,.1',t-n,gg o.fi'
k h-n o','n
"at"dvt6 +t4-a leftfhXlyr'ff".rutLinqj -*,nP-gg
"tts-{j"
,dVY
consiJrart(Y +|,,a t2un4 ti nA 'bD 2l co tphdj nE to
bt\ue-^. fta c"/in4ar\aA)nSqIort-ft \+\-a c^rgr.tlilffi*atvxtLz,
4s"",5 l',is'gfint $'22*e"tuncp- atrrz- h, Ftr:j"l ?Wv " F V x ftne-a ctr) u:Vt'rcrr P
Lv.d
rna-renaar o\ +hs shorr ' tTUL, 9@g s at - tJJitt
ba
*:Yer\atF6p-
\ n dJo*vie4-o-n , Aa =
st-nass C6.i) ineLua-ci \ni., XX Alt pt$on,sln-e.ll" '= 4t
c-rjr cg.mgou.ontrctl 6l ., ; in.dut-od'
g\, A^/w*r'ct-r,
^rtylte 'l-o 6-c-.
,
+-\^,a
i r.. f{"\thr sg
i".
a-r6t^,t
in VoLurwta , Av :
( r tr^)v: 3. P'{ [r-.r 1,'4t 'E
F'do+tE
Aaa- -_
-A
3P.d f '-1 )Av - ;rE (' rn'/
- spd4- (r-trv -- ;4- *{
Mae- glng-n gy-resg t -- ft' *fct
= E-_5 =c)
EFrr c\EL\CY oF A Tc? tt{T ',-ITnaqrind'xlca!gh-[fsuclnovs.xitlltsalfiakta'rnu
"t-n:oW?esokidntq*t**l'dfr'n$ruAiY\alj6\n\a4'1;er! cur*rngar,Jf"*id-l iant ' * -r;* hotl a-rr-a rn4d,e in +vu
z-r'tiq-l olrulagcr.'nt'a^c.r,fidJ Jcvrnt .,s\a **T^^X
*
F :-^' ^ ^ ^c\' aU'f-arrrad
ag' tNgrs-"ly.r(1^ruar'.qj ghrosseg I .'fin rwr6tudrnet)
-
i)
6iven I -.
Dia. o& ??Q . d = 2aorD r7'rnTlnic*nass a* 6?n,'* : 2a21-n6 .
SoLansnj -
-:
FUric{ ?tLQgstrt13. ? '- t'-a sf,61y4e-
*/^.i i
tsFoe.; .
The
2a,/ztoo
t':'
-".:4loo:i
@nbA 'irdn
t.2-o
:.rin&ost()
til to.n8i&L+in.qj st^4.sS C6'.r )yd.4rl, 5 x 2ooo
fl:
4x 2a
trit cri'crl.msonc.ntial 9\nzss C6.) '
ec.,. v2+1", X zoo o
ZX zo
6c : -?5: Nfcnrm'
Kesur l(l)
c"6ttndarW
L --31'g ltf ;lnn, r
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-
-2)A c!6lindx}td 4 in,tzryng-l , ** I rn ccn tajns ar-aAt a ?neSStine o*, I Nf rnrr, - (Eat]q?q ) ,.Fg. +\4e. rnq'xrr^Jr-rn|rertrni-a"ri 61o gtttp-.sE ind*rc,el "rn V rna-fe;u'a-[ in to c' Nlrn rnf
F\ftd +\ne ' {+i t)c*1-as< & fl^..z 2bnaoa ,
&t\ven'
-Inta:z-rr-e.i A)a:ae-+e:t o* cgl-tnd-o:t, A -- rrn --tooo n'wn.
Mae-iml-rn ?a:r-missiUt' g+l\-a:sl in ++Q' malc:j.o-t Ytt{^9 et\u-rra'*ezps't ft4-t gtnc's.g
,
( Cc).
,. .' , qr; u-e-r Epaar,tta-l sf-n.ess -(6c) : ll}r N f rnm* '
sotruion I -
b-*, t: T\n-trl.ne-ss 4 #ne Sind-r:t
".d21t2. d
L.,L - z-c.
n x looo2x loo
t =
45 rnrrl
RzsuLT : -
l6cxneSS ok nundb "4
4Frntt-t.
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-
- t'yi1.;,-.-.-;f".: --,-r.....:.1 ^.i.r,-.^, l,__ _._l_a_: l_ .,.. 'a
ow'Jf,.V+e)'tce in o;Ab,. ba+l'r xlaltt-?'s nfr bz',.
gamSg+eA #hq. $4.DUY'JLI1 ?@'J:r11SS\bt-Q'tnrc-:zn-a'f
"s eaue) +eP2Q-"t4-Ir\-e- vS e^UJe) fu m\nlrta'-qrrn ob tltt'o UcriJJ-o'1
'
Mqrci rnr.r-rrr ?etLm\ssibta 'in rcrruel ?Sr@asur\'a-
= O.q NfrnmL
sS ? V 4alcon 4 a'q'r't:t-l fu o'{ Nfmtr;r, fueta'.0rrnti,ilA'n4.J sh'Js Co'r) cpi\\ b'
?-4?ot: 4xry..t
o-1 x %oo4xo-3X 2.D
Al 7 15 Alrr,,-..
T"iA V d-lJrz- 14 mo^Q. 'fnan ++le fru q .t irni*rr nflne,wcav. SW4S ,
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-
-- l) A e$nAilca-t' J' iia.in d,xrrrn SooY?nrn }n Aiuaete:ti@^A gel e'b
",., "o ' i*.r{ l.v-t, ;!,.4&{ t{ni ct-r, e+ 9 eE I c> rn rn .
ag- +{g . rfunrr:^n i< .,_ Sqf-'re3ScJad 4-o. *r' lntz;una1 ?^a-ssua-a"of 9 .9 Nhr-t . DA_fa-n rni!*
,
(r ) ONaxLta in A-t'am.Bjea.(i\) .CJqlaB?- i ir") , qfkJeu I cha_n.lge \n
Ta-b, E : 2xto" (/lp-" : yoigsantg >ux46 =a -LE ,a rvg-r{ :
Dlam-efen 4 Au-rf,n. A;-*tcofnrn)e-nyh ak Jrurrn , LThlcxness o$ An:sn , t
: : -.. -
Xn,i-M\4-! ?^e-ssutrQ / ? = 2''N f rnrn 2'
Y6W6tl's >rs--tia . '/^ = Q''rypa;-}tgtsrnoAulL|;3. E =
9Xto5 N/mtn'-Reqrl,*l'. : :
lo=*1f+h
\oLrr-m-a .
9otr-r-ftcrn 1 .
r\l oha*no- io &a:nelen , Aa -- .2
drr chan6a in &fi+h , At z 2iirt crnn-rn6o in Vou-r*vt , Au = ?
= 3i:- ( -*)2iE
e.5 xr8oo)L ( ,- -! xo'za)< \'29x toxzxto5 \
dl Cho-rr4a in d.-t,a:note:t, (Aa ) :
Aa
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-
Lox90002.5v tu1I
-
o'25 IIZ)e L-.2-X to )( Lxlo
Au : -0'315 rnro '
o,i) Cvrsrp i n tlaUtmz CAu ) 'Ad+y
vourme-tnjL,,sft- ,-)o (+) = 2' Ta.918Av
- 2Y oE + -
- =l X 7go" 9qooV
.:
A 7 845xto-4 + tzgxto
V
Av A txto-3Fv
-9 xvAv: tXtc' - AY
V= I d,LxL= + x (goo)oxSooo4 lt
V: l'5o8Xtolrnrn3'
-
e r/ l. lag6,r rvAv T lxto -rt':,,ogxto1
Av z l'508xtotrnrn3'
Resul}' ..lr Ar - o, 35t-rr,rn
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-
*ry A ulrinAilca) ue-e.6n&An< eb )usd g\@nfra-- ?r.alas, i4 rnaa-e- e& s+e-e.)Vtaxe '?rnrn ++-icr . T4a iangth atl& 4il9' \ nrre'a-rta-)
8,toxnpfu:t ob th vagee) aes ED cxn o{1d 2 b c rt-->ztasrylkrtc-fu1 " Sc:F;irn\rr-e th.lz *frl*9ne"t es'A ho":7
lu rr44 cd 'gharl A*@t:r 4'-v.)\n +r^4 # et
\ntarrr"e-.lt ktr,dd1 yn'e-\&
-
t" p.d^tUt -
-
,., 4-t r:3x g-so
C)- -''. 6L,-F N lmmt
\ .* ^r ?t^ I - f. 61Ctmatxntenen$al 9fTabn ; Ac =
-
E m_E+....'
lro,gllmJEL
: -
I-'o" (az'EXo'3)]2xto> LQ.
= 9- gt vto -4
B,-*, (pz t-r'aw fiQxazte-lsf,lt-a)n , e. A
"' I = 5-3lxlo':4d_.L
Aa 7 g-Btxlo-- x d
Aa : r-'gl x lo -+ x ?6o
Aa: o.tg? nnrn
-' ' Tncst-eA,Sa':in d-tax^OlO:t , 44 ':o il33 mrr) -
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-
E ;.J_1 r. .
=' #t L e''5 a" ('t trxa.'l;7
A-i = t'25xto-'t
El^* | urQ-- t-nnt: ++1-Q- ko>t-rnr:-)n $on lort6'i*'rd''rn1
S,ta)n, A.lQ.t= Tl'z1xto-4 =
At '5oo
Al =
o'obz6w\!v''t
AV =
Zq.tSSXlosrnrn
Rgguur lcil :-o*6*4og1-1 p31.! s}^.e-ss ( fe ) -- 62'5 N/mrt'''(il 1+oof 9t^-e-ss C o-. ) :' 125 N/"nr.,' .t"
^ \
ciirT c-haltgz \n dio-rn-e-tur ( Aal : o'193 Yn-rn
LondWUnr=A sb'ln . o, fi _ _i4- :
-,( E rh.r
tiirT t'n cn1ne, \n votu'rno ) - cav)
A = L.Y + A: = 2'8-.{ Qt.v
- d
[4"a"*r]Iv : fC"" E-3rx,o-t) + t'Lexto-41 xL_
4v =
l'18'-7 x Lnl*x(z;o)txraa]
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,/-
t**a7'v161 : \nru:r-rreJ djarnc-azl f.rr{ ta-hnrn -g.f?T +ilcxn4-+