ANALISIS TEGANGAN-mekrek2.1

8/9/2019 ANALISIS TEGANGAN-mekrek2.1

1/23

GOGCDQDQ PNIGOIGO

M/ Ldr`g~q# MP

yyy/`g~qzhcd/ah/aa


2/23

Ene~gpgo Bgfgo

Igtg @gcgm , Pnigoigo

Kdeg edpg doido mnmnrdeqg bgfyg bgpgoi mnmz~otgd

a~e~z ene~gpgo# mgeg tgoi `dcge~ego g`gcgf

mnmbgo`doiego igtg `gcgm tgoi g`g zg`gbgpgoi pnrqnb~p `noigo enpgfgogo( ene~gpgo

bgfgo `noigo mnmgegd ehoqnz Pnigoigo tgdp~ ;

Pnigoigo = dopnoqdpgq igtg igtg `gcgm pdgz qgp~go c~gq

Pnigoigo `d`gzgp `noigo mno`dqprdb~qdego igtg

zg`g znogmzgoi ncnmno `dbgid dopnoqdpgq pdgz

qgp~go c~gqotg &@grtgoph# 2::7$


3/23

Igtg Igtg @gcgm

G`gcgf igtg igtg tgoi mnogfgo bnrqgmg qgmg pdpde pdpde tgoi mnmbnop~e bno`g

ege~/

Igtg igtg dod `d`gzgp bdcg edpg mnmhphoiq~gp~ qpr~ep~r#


4/23

Mgeg zg`g znogmzgoi znrzhpdoigo pnrqnb~p

gego pdmb~c igtg igtg qnbgigd bnrde~p ;7/ Mhmno cnop~r &M$

2/ Igtg inqnr (cdopgoi &C$

1/ Igtg geqdgc( ohrmgc &O$

Igtg geqdgc Igtg cdopgoi

0/ Phrqd (mhmno z~opdr


5/23

Bgpgoi bgpgoi `noigo igtg ohrmgc O

Qnb~gf bgpgoi tgoi `dbnbgod qnagrg geqdgc

hcnf igtg ohrmgc O# igtg ohrmgc O gego

`d`dqprdb~qdego zg`g qnc~r~f znogmzgoi

bgfgo/

Znotnbgrgo ( zno`dqprdb~qdgo igtg ohrmgc pdgz

qgp~go c~gq `d qnb~p Pnigoigo Ohrmgc &o$


6/23


7/23

^oq~r ~oq~r igtg `gcgm tgoi

m~oiedo zg`g qpr~ep~r bd`goi


8/23

Igtg igtg `gcgm tgoi pnrkg`d g`gcgf ;

Igtg geqdgc Z# tgoi qngrgf `noigo grgf

zgokgoi bgpgoi

Igtg inqnr ; \v# \t Mhmno cnop~r ; Mv# Mt

Mhmno z~opdr ; M{ &Phrqd$


9/23


10/23

Ahophf

Bgpgoi pgrde `noigo O = P = >< eO = >


11/23

@nlhrmgqd gpg~ znr~bgfgo bnop~e

Zg`g bno`g tgoi mnonrdmg bnbgo# gego pnrkg`d

znr~bgfgo bnop~e bgde bnr~zg znrzgokgoigo#

znrzno`nego# cno`~pgo mg~z~o pnrkg`dotg cnop~r/

Znr~bgfgo bnop~e gedbgp znmbnbgogo dod `dqnb~p`nlhrmgqd

Qnpdgz bno`g mnmdcded ene~gpgo mgqdoi mgqdoi

~op~e mnogfgo `nlhrmgqd tgoi pnrkg`d qnq~gd

`noigo bgfgo znmbnop~eotg/ Ene~gpgo egt~# bnpho

`go bgkg bnrbn`g bn`g `gcgm mnogfgo `nlhrmgqd(

znr~bgfgo bnop~e


12/23

Qnbgigd gedbgp `grd znrcgygogo pnrfg`gz `nlhrmgqd

`d `gcgm bgfgo pdmb~c pnigoigo `go gedbgp `grdpdmb~cotg pnigoigo# nlhrmgqd `dfnopdego/ Kdeg

enmgmz~go mncgygo `nlhrmgqd pnrcgmzg~d mgeg

bno`g gego zgpgf# dod bnrgrpd bgfyg pnigoigo

pnigoigo tgoi `dpdmb~cego mncgmzg~d bgpgq

@gcgm dcm~ qpgpdeg# qnpdgz qpr~ep~r goi mnonrdmg

bnbgo mgeg zg`g qpr~ep~r pnrqnb~p gego pdmb~rngeqd rngeqd c~gr `go igtg igtg gcgm# dmgog

igtg `gcgm tgoi bnenrkg zg`g q~gp~ zhphoigo

qpr~ep~r pnrigop~oi zg`g knodq qpr~ep~rotg


13/23

Ahophf znr~bgfgo bnop~e ;


14/23

Bnbgo qdlgp qdlgp `nlhrmgqd bgfgo

Bdcg qnb~gf bgpgoi `dbnrdego qnb~gf igtg `go

mnokg`dego bgpgoi pnrqnb~p bnr~bgf bnop~e

&mnoigcgmd `nlhrmgqd$# nlhrmgqd tgoi pnrkg`d ;

g/ @nlhrmgqd qnbgo`doi `noigo bnbgo tgoi

`dpdoiegpego `gcgm bgpgq bgpgq pnrpnop~# bgpgoi

gego enmbgcd qnm~cg bdcg bnbgo `dfdcgoiego `dqnb~p

`nlhrmgqd ncgqpdq

b/ @nlhrmgqd pnrkg`d pnpgz ( znrmgono ygcg~z~o

bnbgo pncgf `dfdcgoiego `dqnb~p `nlhrmgqd zcgqpdq

&@grtgoph#7440$


15/23

Qdlgp ( znrdcge~ ncgqpdq

Qdlgp gpg~ znrdcge~ qnb~gf bgfgo g`gcgf ncgqpdq kdeg q~gp~

bnop~e f~b~oigo cdodnr &c~r~q$ `dgopgrg igtg igtg `gcgm `go

`nlhrmgqd bgpgoi qnrpg `nlhrmgqdotg fdcgoi kdeg bnbgo

`dfdcgoiego

Znr~bgfgo bnop~e `grd q~gp~ bno`g gedbgp `dbnrdego igtg#

`db~epdego hcnf dcm~go doiirdq Rhbnrp Fhhe &7


16/23

F~e~m Fhhen ;

@dmgog ;

Z ; igtg tgoi mnotnbgbego znrzgokgoigo bgpgoi &eO$

Ch ; zgokgoi znogmzgoi bgpgoi &am$

G ; c~gq znogmzgoi bgpgoi

; znrzgokgoigo phpgc bgpgoi &am$N ; ehoqpgopg ncgqpdqdpgq bgfgo( mh`~c~q ncgqpdqdpgq &eO(am2$

Pnigoigo tgoi `dfgqdcego gedbgp g`gotg igtg pgrde Z g`gcgf ;

^odp znrzgokgoigo gpg~ rnigoigo pgrde &znrzgokgoigo bgpgoi znr qgp~go zgokgoi$

g`gcgf ; = (Ch

Qnfdoiig ;

$##&/

/

mammmNG

ChZ'F

$(& 2aeO'Y

DY'N


17/23

Pnigoigo dkdo

@grd qdlgp qdlgp mnegode q~gp~ bgfgo# `gzgp `denpgf~d bgpgq

zrhzhrqdhogc bnr~zg pdpde cncnf `go ene~gpgo bgpgq q~gp~

bgfgo# mgeg `gzgp `dpnpgzego pnigoigo tgoi `gzgp `dgoiigz

qnbgigd Pnigoigo Gmgo gpg~ Pnigoigo Dkdo

^op~e mnmznrpgfgoego znr~bgfgo znr~bgfgo q~gp~

qpr~ep~r pneode qdzdc bnrg`g `d `gcgm bgpgq bgpgq tgoi

`dznrbhcnfego# bdgqgotg pnigoigo dkdo fgr~q `dznrpgfgoego

kg~f `d bgygf bgpgq zrhzhrqdhogc

Zg`g qpr~ep~r bgkg# pdpde cncnf `dzgegd qnbgigd `gqgr ~op~e

mnoifdp~oi pnigoigo ~kd# egrnog zg`g pnigoigo cncnf mnokg`d

bgotge znr~bgfgo znr~bgfgo bnop~e tgoi znrmgono


18/23

`dmgog ; = pnigoigo tgoi `ddkdoego

= pnigoigocncnfl= lgephr engmgogo

Bnqgrotg lgephr engmgogo pnrigop~oi zg`g

bnrbgigd lgephr tgdp~ ;

Enpncdpdgo `dmgog igtg c~gr `denpgf~d

Enpncdpdgo `dmgog pnigoigo pnigoigo `d `gcgm qpr~ep~r dp~ `gzgp`dpnpgzego

Bgfgo tgoi `dzgegd ~op~e qpr~ep~r

l

tYY '


19/23

@dgirgm qprnqq-qprgdo

&fgqdc pnq pgrde$

Pdpde G = bgpgq zrhzhrqdhogc ( zrhzhrpdhogc cdmdp

Pdpde B = bgpgq ncgqpdq ( ncgqpda cdmdp

Pdpde A = pdpde cncnf ( tdnc` zhdop

Pdpde @ = ene~gpgo bgpgq ( pnigoigo bgpgq ( ~cpdmgpn qprnoipf ( ~cpdmgpn qprnqq


20/23

Pnigoigo bgpgq &pnigoigo dkdo$ = pnigoigo

pnrpdoiid zg`g dgirgm qprnqq-qprgdo

gpg~

Agpgpgo ; pnigoigo dkdo fgr~q bnrg`g `d bgygf bgpgq

zrhzhrqdhogc qnfdoiig f~e~m Fhhen bnrcge~

lengmgogoLgephr

bgpgqPnigoigo~Y

YY ''

lengmgogoLgephr

cncnfPnigoigo tYYY ''


21/23

Ahophf qhgc

Qnb~gf ahophf bgkg qpgo`gr bnr`dgmnpnr 71 mm# bdcg `dbnrdego

igtg pgrde 24>: ei `noigo zgokgoi ~e~r 2:: mm mnmgokgoi

qnbnqgr :#22 mm/ Bdcg `denpgf~d znmbnbgogo ahophf pnrqnb~p

bnrg`g `gcgm bgpgq zrhzhrqdhogc# bnrgzgegf Mh`~c~q ncgqpdqdpgq

`grd bgkg pnrqnb~p8 &`gcgm ei(am

2

$

Znotncnqgdgo ;

Z = 24>: ei

Ch = 2:: mm = 2: am

C = :#22 mm = :#:22 am

@ = 71 mm = 7#1 am --------

2

22

1291#7

1#7//0

7//0

7

am

@G

'

'' PP


22/23

21

2

1

2:2:>:>9#2222

>>9#22221291#724>:

7:/7#72:

:22#:

aeiN

aei

h

'''

'''

''&

'

D

Y

Y

D


23/23

Qhgc 7 ;

qnb~gf bgpgoi bgkg mnr~zgego ncnmno `grd qpr~ep~r rgoieg

bgpgoi/ Bgpgoi pnrqnb~p mnoigcgmd igtg geqdgc pgrde qnbnqgr

77#2>/7:1ei/ fdp~oi znrzgokgoigo tgoi pnrkg`d gedbgp igtg

pnrqnb~p kdeg c~gq znogmzgoi bgpgoi m

&N = 2/7:< ei(am2$

Qhgc 2 ;

qnb~gf bgpgoi bgkg mnmdcded zgokgoi 7: m mnogfgo igtg

>:::ei/ Pnop~ego `dgmnpnr mdodm~m bgpgoi bgkg pnrqnb~pkdeg znrzgokgoigo tgoi pnrkg`d pd`ge bhcnf mncnbdfd > mm

&N = 2/7:< ei(am2$

ANALISIS TEGANGAN-mekrek2.1

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