a305 Statik Ders Notlari Billur Kaner

8/3/2019 a305 Statik Ders Notlari Billur Kaner

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2MA=O::JA/1c::CCJ, S+~, 'L0r-:-. &,~O3. ~

~~ ~'SCS, Z d2~.


57/90

d!."\('v"\\lj ~\S,~J('.Q ef\(A -eA L--J'IJ\J..-\.- ..s.\~~~n\f\~O\.Q.~ ~~t(

'ie..?t \eJ\ '--"-.J \v (\u~

if .,O{Y'le~.-----2

X'D-= o7'1::>-+ ez: - Lvii ~ O"'-i b .:::::'"c:::ci ~


58/90

/

~b~ ~c+ Cc::>~G=-o- Qc -V-J') -\-.C2A, -S,\,[\ 'ET=-.o\2A-=- L-D:3 ~ ':J T r:t: r 'sS N ~Js

~e'c.\ L ele lG \ \c\ ya ccC'~ -eo\ \j ?cy\'b \::)c, J-:p \~. \\.~ \:'\c\es,\-v~t0'\ ~\...-\0v,diA \.;c' C Id 01:', ~ ip~;\eJ; 'vV! ':,cb', p""'" Lsa '0(";3,; ..(y"\or\~o ) 1,0\'(\C', 'tO~\(1 {'v\Qf.s;.C' \ ,A ~G-.{\ 'tcs,,.(.( o (VQt~Q\


59/90

~X~O'2-'1 = o 1Sx~Ax~oPe-Q--( - ~ ~ ey \~~:; A~]i A:::) -'6~.. &O~i\-~---+-Jc;i ,r. (.:::l---. i' i(\

2C~~ ZO(QC?::)=.-. 1.. Qo W tr

,::::;2, c::- ::;;, _ \. 00- 200W it

MA-= 2Lt~ W~.~

A~::= 2,C::JO -T ~C:;/J-= 'i c:;~~J ;-


60/90

~os. \.i ci e.A '::jf:J ci e ~ -\-10lnQ/\,--"- b ~ L'J'\J\J e \-\...0i ? )

d::r (\e L rzr-___ ......--1\ /'


61/90

/CI.S t =fo ;uK (s,,,"e 1:) iA-.st -= jU.IL (tob0\) J

e =:; 0ser') ~e c: i

f0 r\2)!i.: ~j~':t~.

~ ~ '\1...n.,..J{"V' .$u iku (\ (Y'E'~\ (\" "' . -S,i (\ " r LlcL'::l("'("\C,\'te,-\f'.cde,,- (V'-Q\~e~e Cc~,.s\\)

N -= K \ec.,~ er -i &-;::0 sFs -==- ~,D !f'\ t2Y ~ i:::J


62/90

A ve ~ aJ~(f\dot.; M= {(LI-A ~ d';'~~e Q) el,U\ck- f'-A ~ :::i. \.\:::s

~E\c~JdeJ6' S\SXb~e.{\; b\~u(\...iYlOl et.e ~ ~U re lo l\f'f\.i21c '\cJ (\ ~ e.~ip t..u\ju-e-\-tf\~ \o\j~01'\'-.l~?

!(c/

Q3l( rv--U\ ~5 -+ tJA-\3.4-~gi'Z,:- (NA::::\52N'


63/90

rA=- 01'2 Ci\ 6~vf\&'" '71 i \ ~

CZ-c n2 i' (\\t'\ r~,'-.lc:c::i~eJ\Vi (\ di2 hsetet-bo.\.\Clf ').. '"

- i\J2)( -T ~1 - ts:? x :::: o- N;2 ,S,n \5 -+- N-1 _ 01'2 ,hJ2' Co'::, 15='0

b~\,

A

~2' Cc::>.s,\S-A.JA - ~S~- \ S2::1 = ci0,365 Nz _2aO-ol'2N-1 _OloS\'B, N(~O'" (), A Q '\ 2~~ 1\:- '-J r..::i \ -.,) N::; = -'--"'--' \-~


64/90

~''l = o- N'2~ -+ ~3 .~ LVg, + -S2.2j -= c>_ b'2 i ~ g -+- N.3 _ lOD -* \'2 i S1-- =- O

t--J3.:::- \SOI:5 N'p.::= f ';.9 i '6 8, i'-.j

w :) x - p+ tS~ -t ~S2 X -= oU2i 1':2\rzi(.~, Co~ \S ;::-'C

\ _Di'2- N~ + P =:- -109, ~~

l- N eK -+ W 1. -+ ~S2t .:::0_N2'ul


65/90

CiD ICinNQ x - P- .3 - S2X ::= \c)N2rS((\ \S-p _oi:2i-J.g_ICL N2( Co.s,.\S:::O.'2 y '3 , S,(\ \ S - P - c) ( '2 tv';, - o 1'2 i 'L l.{..5 ( G::::,S {S:= C>'

\- N o ir- a L.o f 2- 8, -+ ' ~ ::::::i i -:1Y i- -- N:23-+ w3 -\J...JB- ~2::J =- O ,o. ir\'\.\: _t~tl~ t "siW2 '=- \2:. LA. i 2. N 'N /\::c. \ '2 ! 6 '2.N t-(

ho. -1 /JrA

~\(h~1to? i:ja~a-':j

~~d~ ~10\0\;0 Sb~'10\ \ {C..':jCL A ve. .iS

~\H= 012~0 ('\D (\ \'Y' e lc::Asc ~W l. 'vEJ\~\,,::H5 ine"-' )~Dre 't?\0\ ~~CL ck;::i~(J ~QJCI:t?-\-eA-+i {r>f'lZ le.- \C. \ n L +0~J:Lf Lr"~U~~ \(i...,\ rY'--OS\seJet&\ ::::;,Q'~~p 9i


66/90

Nrs -+ ""r'2 P = ~o\ Ne, -= ~CJ - -1 / '2 P \:

:2-K...:: op _ ~SA - ~ S~ .= .o

\ 01'2 NA- -t c::i r 3. !\J e;. -=Pl_~_~ -.J

C>( 2 i L ~ o 4- -i! 2 P ') -+


67/90

~ ~1= T--i--:";:.--? ---::,

\ -+ dT-=:- \'2~\? >L-1

?0 ((iq. t ci ~D ~~ \(e 6~ ~s, c:s~ U"daO( -+o':::::P c..1..~!c-f 0 C)!.Q/\..~wt(Y-


68/90

Ti -1- T i -1 - cl Ti -1 + -\S:::0[fs:=- dTf

T,dcx. _dT ~:2 .-.::i -o

dTTT'2j d~iT-1

~e~ in1~.~? b\.' T.:[ ~&{l(\Aelcu'.J\JE'~JQ~.2'T\~Ql'.,2\1-;:..bTI~, '2.r:1. II -=- liIIQ...cl. '~ = e..T-i \-i'=".2ac:


71/90

::\ o 1.J--1 i T7e. ,

rii

U-..JX _ T- ~S = O

-= ,:1i S Y ~ L~,--------_._-.----- . -------------------------~-----_.-----~-~----------~--------.~""--...._--~-~--~~~._~---------

_.---------------------~--~~------------------------~----------------~------------~---------------~-----

en


72/90

di.ar' r(',e ~', J IJ ( du

sp, e::2T'2==12, 2Q -

np. -\0M_ sP" Q =0':2Sc>o ;.-- sP i \D=::.o2959 = '5 C:j;:::)

rrufs.C\~QJ LQ b~LI ;; d~fWCoL \:::Q]CQ \.t +C\~'::)lCl

fV\ ci-fsc> " \.wQcl~lr, ~\\ ~e \1.':){SQL \j b\JflJr\

b6t.\ le s. fS ~hv- i tJ


73/90


74/90

1\?:, \ U_S"\ le\:::AF- E...sS1&T f..JV\

lcA~A~\l:::.\::.ARs\,:r t:.N\. .LR' Q}.w~(\ \

2:,26 ~ '{6"'-lT-e:.fv\ L.E12i ~3..~ G(~,,'t... 'YG(\~2)A{\cJ.;-t\t: 'y2:A~.

iL o.~ :\::)6~1.)('A ~e+ccLu.L b~ l'Pc\t~ C c\Hv,\ enekd",

@ ~'i=a"lA + 1LB- i =: o ~MA =- o

_v,3, ~ P.b -+ ~B.6= oRE, ==- 1.2, le N

B. LL ~\ii P .(lV 1:.-\'2't).Jj

~ ~!?,,('r\ i ~_ i

1.ri


75/90

~~:S:.=O_S'2, i ?::>{2 +XA ' 3.::: ::2

(\~todU

S3 = \:i,f') kN--'-'----""'-~'.'-'.'.SA = _ b{-:; \:.N.

~l\AG =-0fG -+Q _..1\ -'\ = .o

~Q, eA --=+a._~Q = o(24= 5 LN


76/90

~}, =:: 5 Co-t~


77/90

S-10= AS

~\- 0~~\-C~~_)~:J::i

t-'l-feJ .~LS~e~vvve.+t~) b\.Jt ,

1?A - '2 'eN .. - -~= \S 'ic:N

52:= '2 W


78/90

/\>- b/77 /,/ //bQ-\ X --":> ---4 _'} -Mc(S) -= MOX"L+M':j:s+fvto1'.x

X i N Of rY\!:::L \

Sr\-~~t:ce(c10~

he"n \\deJ\-~, \\E \,,. . '. LCO'


79/90

,"1OH \.- ..-.,,_ i _.f ic-,>cnJ'

~ ------': >

~O+ t=' =- c::i-:;> ~~o -\- MA~tG6tI'P rv-ej{\e ~oie=\v~~ ~fU.)

X rO

~ QA~ 1-~:::- f'V'.'::'f\e+e ~\\.J2 CCC ecs::Jc -rv-'QJv--.J2/,-* :re..p(j. \)


80/90

R~ = ~J';2~KA= >12

~X;::O XR::::..O.~ ':\= O '2A.+e~= p2fV\ A. =oc) P L -=Q(6. L-'::2

~L .+J- i iO

X.-:oO

Q,,~ 9/2" -- .. . . _ ._ . J> "

/

/-X.::::. ..!::::.i

]} -- LiL

TI

P\ (x~~ )\)-tl ' l.L-X)


81/90

~\.O..JI C\~t \sev\.de ~{\D. ~~16\ ~ ~tJ i ~U:j~e.. te/\f't"3..$. bi~i (\t e..s r~'" C ~.w v-..e+id~S{~" veef (\(Y'e (Y'~J2/l +cl, ::J OJY c!/vu. le !

...) c 'OLC--, ~ ("\.\.~

:f.~.b.

+

x == L~~,o)(G"S'>

/'V i\.A,{V(lx= \ 3.5 S,


82/90

M= _\000. XQ= --'leooN

be::. ( ~ ,go~ =. - \000. X + \ bJO,. (x- 60)

X=O

Q =

-= t;~OX _ \00 'Loo)(::::\'20

0=6~ (b').G =- _ n3 (8, s)

tv\. .:::: -'-' \"130 x + '33, I'8DuN.

/! t-A= _ \~5,3,o::::. ~~.~ ..~

\v\ ~ \ s= - '3.0 o iw~ L\\t:.bi\.0.'-"" .~ i ,.,,,.,r>; !. \

\-SQ':) \~ i\,-\bVQJ [cdi


83/90

/

z..'icO:1, 2,..),..:L ::: eBeQ, =-~

~\!)ISQ.- o;;:::)~_.

in(,,-

\ ( \v. ,_:;;,~ ---./


84/90

\

~

g_ ':s ~ ~ ~eJ~-t\\ Lj00'L\Q\9)V\ Qf e:;-S i (\ ~O!L;i.S!'cJc.J ..l t10J .'-.:" [ .'c.n \ ,

/()


85/90

ccl:::.-

~~9~~~---==>------.-.~d.or-f".Ae hQ)'e tLf-.'\c\(\.

'-0eF- . d.~\.~ ~r/':'t"'e cl.r\tr. \Y\a...cl.de~eC_ (\=~'..~OS\\('.~Qdtc uS-"')f'E'.l:,\0-.~c2-~"1cyQ.. ~('V--Q~ L (d~

Ci f'~ ~\dC~i0\~ u=\~~~f\e\.i~, ~~e~ ~'"'\er ~~~n~..it~.G-ck$,u0.u\ e \c:,(\ eJ\ 1S;:.c'J\S,u~. t~'-.)i:: ':::jOc_~\S.rt~{,y"e,je '0\\ -\0ei

~ce\:.-'c.dc_\.s.


86/90

~6~6G~{\e Q\,-~~i ~C'L\fdu\LS\ ~'-~\ d \J , ~~~ ~'vZ-~er

a\Ut

l/' ~ ~CO


87/90

\~, , ;C=~ \d . l

----?..L (Co!::,. e ,-L --+ ~ \!:.. 1,n e=2 .-J

~_~\:;,r 8,C:{G'-i.drc

,

C- i?), l-L..''''''d9 L 'i (-@S), ( -1s"n G c\&i' 4 '2 """,8.c!8l'jG

cs) \ Ca~ er,2 ~

~,'--\. =CJ


88/90

~~'J\a.As"",,,-;' b \r'IG\!\ deA.(~td\ 8

e -,;;;.~ dQ~~'h+dlri>( -4 X --+ dx.

X= 2.L,dh=. - L4' s'if\ G .d&:2-dT= P.dx + Qu.;_,dh.= o

V\ .' \dO) c; o


89/90

6orn1>.~i wtu(\V~.r pIr ' , i ~,' r "h.- _ "', r ' (;>."-L.\ . \ . Uf '.?_",-('{Y''''-/V'Y

\J?V (\\\J'f0 h \ ~_,::r1\'to.k-s,Q3\ L) ~$ \i' \bfn{) $

A

(~"",,~ -,i' v ----~J .. ~ - ... d_'? X. ~""

Li~~~-

~- @,,5.~ i-J UIIV\ ; f"\\i ';:j~ 1L12'\s..Q~is)

~= ,.Q L ,&.,,1\. ,8-d~c: = .2\"- ,L..oS. G- d-:r

(::'=k,S

?, d~b~' , d0C:::-C;?,1-' L=Y~ .~/& - k: , (:} L i ~i.(\ '2;~\n) _ ri ,L , ~s, e, de- ,,- O

?, L _ yiL. L, ~\'0 e--\-'2 ~ ' Li\---' -;;;Q?- '4t.L, Si i\. e -+ '2 le:\ '" '::. Q


90/90

(\ '2L ,\:::1

S, r\~~,P+ ':2\::\iLi\::.L

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