Esfuerzos Combinados

May 18, 2019 | Author: Kathya Urrutia | Category: Bending, Pressure, Classical Mechanics, Mechanics, Física y matemáticas
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Short Description

Los esfuerzos combinados representan la suma o combinación de varios esfuerzos que son aplicados a un elemento siendo es...

Description

Xcirhw}iknk kh Hl ]nlrnkaw Bnmxl{nk Dxl{iki}miplicnwin Awihc{nl Khpnw{ndhc{a kh Icohcihwän y Nw~xi{hm{xwn Dhmîcimn kh la} ]alika} III

H}bxhwva} Madgicnka}   

H}bxhwva} hc Whmipihc{h} kh Pnwhk Khlonkn [wnc}bawdnmiýc kh H}bxhwva} hc xc Pxc{a ]xphwpa}imiýc kh H}bxhwva}

Mimla I$70>7

Mixknk Xcirhw}i{nwin Awihc{nl, 78 kh Dnya kh 70>7

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka}

ICKIMH

IC[WAKXMMIAC•#•••••••••••••••••••••••••### 7 AGFH[IRA]••••••••••••##••••••• AGFH[IRA]••••••••• •••##•••••••##•••••••••## ##•••••••••## = H]BXHWVA] MADGICNKA]##••••#•••• MADGICNKA]##••••#•••••••##•••••••• •••##•••••••••## •## ;

># H]BXHWVA] HC WHMIPIHC[H] KH PNWHK KHLONKN ••••••## ••••••## 8

>#> WHMIPIHC[H] H]BHWIMA] ]ADH[IKA] N PWHMIAC••••••• PWHMIAC ••••••• 8 PWH]IAC•••••#•##5 5 >#7 WHMIPIHC[H] MILICKWIMA] ]ADH[IKA] N PWH]IAC•••••#•## 7#  [WNC]BAWDNMIAC KH H]BXHWVA] HC XC PXC[A•••••••>0

7#> H]BXHWVA] PWICMIPNLH] Y MAW[NC[H] DNUIDA]••••••## >= 7#7 H]BXHWVA MAW[NC[H DNUIDA HC HL PLNCA••••••••### >2 7#= MIWMXLA KH DAEW PNWN H]BXHWVA PLNCA•###•••••••• >? =# ]XPHWPA]IMIAC KH H]BXHWVA]•••#••••••••###•###••#70

=#> ]XPHWPA]IMIAC KH H]BXHWVA] NUINLH] Y BLHUIAC•••••# 7> =#7 ]XPHWPA]IMIAC KH H]BXHWVA] BLHUIAC Y [AW]IAC••••###

77

HFHDPLA] [HAWIMA]•••••• [HAWIMA]••••••••••••••••• ••••••••••••••••••## •••••••## 78 PWAGLHDN] KH NPLIMNMIAC•••••••• NPLIMNMIAC•••••••••••••••••• ••••••••••••## ••## =7

MACMLX]IACH]••••••••••••••••••••••••••• ;7 WHMADHCKNMIACH]•••••••••••••••••••••••#•# ;= GIGLIAOWNBIN•••••••••••••••••••••••••••• ;; WHBHWHCMIN••••••••••••••• WHBHWHCMIN•••• ••••••••••••••••••••• •••••••••••###;8 •###;8

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka}

IC[WAKXMMIAC Hl kh}nwwalla kh h}{h {wngnfa h}{î gn}nka hc {hdn} kh ic{hwé} pnwn hl h}{xkia kh ln wh}i}{hcmin kh dn{hwinlh}, {adncka mada gn}h la} h}bxhwva} y ln} khbawdnmiach} pnwn }x ncîli}i}, h}{a} }ac gî}ima} pnwn hl hc{hckidihc{a kh la} {hdn} n {wn{nw# La} h}bxhwva} madgicnka} whpwh}hc{nc ln }xdn a madgicnmiýc kh rnwia} h}bxhwva} ~xh }ac nplimnka} n xc hlhdhc{a }ihcka h}{a} h}bxhwva} kh mnwon nuinl, h}bxhwva paw mnwon kh blhuiýc a h}bxhwva paw mnwon kh {aw}iýc# ]x kh{hwdicnmiýc h} kh dxmen x{iliknk hc {akn} ln} wndn} kh ln icohcihwän, yn ~xh paw la ohchwnl ohchwnl la} hlhdhc{a} hlhdhc{a} ncnlivnka} ca h}{îc }adh{ika} n xc }ala {ipa kh h}bxhwva, }i ca, dî} gihc

n ln ic{hwnmmiýc kh rnwia} h}bxhwva} kh dnchwn }idxl{îchn#

 [ndgiéc h} xc dé{aka pnwn }hlhmmiacnw y kidhc}iacnw hl dn{hwinl nkhmxnka hc xc pwamh}a kh mac}{wxmmiýc#  N mac{icxnmiýc }h enmh xc ncîli}i} kh la ~xh }ac la} whmipihc{h} n pwh}iýc kh pnwhk khlonkn %whmipihc{h} miläckwima} y h}béwima}) la} mxnlh} whpwh}hc{nc xcn idpaw{nc{h nplimnmiýc hc hl ncîli}i} kh h}bxhwva pwicmipnldhc{h hc hl ncîli}i} kh h}bxhwva plnca# N Ln {wnc}bawdnmiýc kh h}bxhwva ln mxnl whpwh}hc{n whpwh}hc{n ln whlnmiýc kh h}bxhwva} }agwh kibhwhc{h} plnca} ~xh pn}nc paw xc xc pxc{a# Y hl dé{aka kh }xphwpa}imiýc }xphwpa}imiýc kh h}bxhwva} h}bxhwva} ~xh }iwrh pnwn kh{hwdicnw paw }hpnwnka mnkn xcn kh ln} bxhwvn} ~xh }ac nplimnkn} }agwh hl dihdgwa hc ncîli}i}, pnwn pa}{hwiawdhc{h madgicnw }x} wh}xl{nka} y ag{hchw ln }alxmiýc khl kh l pwaglhdn#

La} h}bxhwva} madgicnka} }ac x}nka} bwhmxhc{hdhc{h }ic knwca} mxhc{n yn }hn hc cxh}{wn} mn}n} ~xh h}{îc ehmen} kh rion}, ~xh madgicnka ki}{ic{a} dn{hwinlh}, }apaw{nc nloxca} dhfaw ln blhuiýc y a{wa} dhfaw ln madpwh}iýc en}{n ln} ownckh} mac}{wxmmiach} hc kackh ln} rion} }ac kh eihwwa y mhdhc{a# Pnwn xcn dhfaw nplimnmiýc }h pwh}hc{nc pwaglhdn} whnlh}, kackh }h rhc icralxmwnka} la} {hdn} nc{h} dhcmiacnka}, kh dnchwn ~xh hc hl ki}hþa kh h}{wxm{xwn} y hlhdhc{a} }adh{ika} n

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka}

AGFH[IRA]

Ohchwnl

Icrh}{ionw ln {hawän kh H}bxhwva} Madgicnka} nplimnglh}

hc }xphwbimih} kh pnwhk

khlonkn, {wnc}bawdnmiach} hc xc pxc{a y }xphwpa}imiýc kh h}bxhwva}, nkhdî} kh ncnlivnw ln ic{hwnmmiýc kh h}bxhwva} h}bxhwva} nl madgicnw}h hc{wh }ä nl }hw nplimnka n hlhdhc{a} hlhdhc{a} h}{wxm{xwnlh}, kh{hwdicncka }x ic{hc}iknk#

H}phmäbima}

Macamhw hl pwamhkidihc{a pnwn hcmac{wnw la} h}bxhwva} madgicnka} hc }xphwbimih} kh pnwhk khlonkn, {wnc}bawdnmiýc hc xc pxc{a y }xphwpa}imiýc kh h}bxhwva#

 Ncnlivnw ln dnchwn hc ~xh }h whlnmiacnc la} h}bxhwva} paw mnwon nuinl, paw mnwon kh {aw}iýc y paw mnwon kh blhuiýc mxncka nm{önc macfxc{ndhc{h, pnwn kh{hwdicnw hl h}bxhwva ch{a#

Wh}alrhw {wh} pwaglhdn} pwîm{ima} hc la} ~xh }hn nplimnglh hl dé{aka kh }xphwpa}imiýc kh h}bxhwva#

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka}

H]BXHWVA] MADGICNKA]

La} h}bxhwva} madgicnka} whpwh}hc{nc ln }xdn a madgicnmiýc khl h}bxhwva kh mnwon nuinl, h}bxhwva paw mnwon kh blhuiýc y h}bxhwva paw mnwon kh {aw}iýc# Hc ln whpwh}hc{nmiýc kh la} h}bxhwva} h}bxhwva} madgicnka}, paw la ohchwnl la} hlhdhc{a} hlhdhc{a} ncnlivnka} ca h}{îc }adh{ika} n xc }ala {ipa kh h}bxhwva, }i ca, dî} gihc n ln ic{hwnmmiýc kh rnwia} h}bxhwva} kh dnchwn }idxl{îchn, h} paw hlla ~xh mac ln bicnliknk kh lamnlivnw hl pxc{a hc kackh ln h}{wxm{xwn llhonwän n bnllnw %pxc{a mwä{ima hc ln h}{wxm{xwn), }h ncnlivn ln ic{hwnmmiýc kh {aka} la} h}bxhwva} n la} ~xh h}{î }adh{ika hl hlhdhc{a# [ndgiéc h} xc dé{aka pnwn kidhc}iacnw y  }hlhmmiacnw hl dn{hwinl nkhmxnka pnwn hl hlhdhc{a# Hc la} h}bxhwva} madgicnka} hui}{hc mxn{wa madgicnmiach} pa}iglh } kh mnwon6

H]BXHWVA] MADGICNKA]

Mnwon nuinl y blhuiýc

Mnwon nuinl, {aw}iýc y blhuiýc

Mnwon nuinl y paw {aw}iýc

Mnwon nuinl y blhuiýc

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka}

># H]BXHWVA] HC WHMIPIHC[H] KH PNWHK KHLONKN 

La} whmipihc{h} n pwh}iýc }ac h}{wxm{xwn} mhwwnkn} ~xh mac{ihchc lä~xika} a on}h} n pwh}iýc, hfhdpla kh hlla }ac la} {nc~xh} h}béwima} pnwn nldnmhcndihc{a kh noxn, la} {nc~xh} miläckwima} pnwn niwh madpwidika, {xga} n pwh}iýc y  olaga} icblnka}, ln} mnlkhwn} kh rnpaw, la} {nc~xh} kh nldnmhcndihc{a kh lä~xika} a on}h} n pwh}iýc, la} {nc~xh} kh noxn, la} {nc~xh} kh nldnmhcndihc{a kh ownda} y ln} {xghwän} hc{wh a{wa}# ]h

mac}ikhwnwnc

whmipihc{h}

kh

pnwhk

khlonkn

la}

mac{hchkawh} kh bawdn miläckwimn a h}béwimn hc la} ~xh hl h}ph}aw kh ln pnwhk h} ph~xhþa madpnwnka mac hl wnkia y  }x lacoi{xk, y hc {nlh} mn}a} }h hcmxhc{wnc hc ln mln}h ohchwnl kh h}{wxm{xwn} macamikn} mada “mn}mnwach}—# %Bioxwn >#0)#

Whmipihc{h}

h}béwima}

}adh{ika}

n

 pwh}iýc# Xc {nc~xh kh bawdn h}béwimn h} hl whmipihc{h ikhnl pnwn wh}i}{iw pwh}iýc ic{hwcn# Nloxca} hfhdpla} macamika} }ac {nc~xh}, {xga} y mngicn} kh pwh}iýc hc nhwacnrh} y   rheämxla} h}pnminlh}# Mxncka la} whmipihc{h} n pwh}iýc {ihchc pnwhk khlonkn hc madpnwnmiýc n }x} kidhc}iach} ohchwnlh}, }h lh} icmlxyh khc{wa kh ln mn{hoawän dî}

Bioxwn >#0

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka}

Hl {éwdica kh pnwhk khlonkn ca h} pwhmi}a, phwa xcn wholn ohchwnl h} ~xh ln whlnmiýc kh wnkia



nl h}ph}aw kh ln pnwhk



khgh kh }hw dnyaw ~xh >0 n bic ~xh paknda} kh{hwdicnw

la} h}bxhwva} hc ln} pnwhkh} mac hunm{i{xk wnvacnglh dhkinc{h öcimndhc{h h}{î{imn# Xcn }hoxckn lidi{nmiýc h} ~xh ln pwh}iýc ic{hwcn khgh kh }hw dnyaw ~xh ln hu{hwcn: kh la mac{wnwia, hl mn}mnwac pxhkh bnllnw paw malnp}a khgika nl pnckha kh ln} pnwhkh}#  N bic kh enllnw la} h}bxhwva} hc xc whmipihc{h h}béwima, maw{nda} n {wnré} kh ln h}bhwn }hoöc xc plnca kindh{wnl  rhw{imnl

y ni}lnda} ln di{nk khl mn}mnwac fxc{a mac }x

mac{hcika kh blxika mada xc }ala mxhwpa ligwh %bioxwn >#>$ n)# ]agwh h}{h mxhwpa ligwh nm{önc la} h}bxhwva} kh {hc}iýc ύ hc ln pnwhk y ln pwh}iýc p khl blxika ~xh phwdnchmh khc{wa khl ehdi}bhwia# Hl ph}a khl {nc~xh y }x mac{hcika }h adi{hc hc h}{h ncîli}i}# Ln pwh}iýc nm{ön eawivac{nldhc{h }agwh hl îwhn miwmxlnw plncn bawdnkn bawdnkn paw hl maw{h maw{h y xcibawdh,

ln

bxhwvn

knka ~xh ln pwh}iýc hc

wh}xl{nc{h



kh

ln

pwh}iýc

h}6

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka}

Ln hunm{i{xk kh h}{n npwauidnmiýc }h icmwhdhc{n }hoöc }h rxhlrh dî} khlonka hl mn}mnwac, y }h whkxmh }hoöc }h rxhlrh dî} owxh}a# Ln bxhwvn ag{hcikn n pnw{iw khl h}bxhwva cawdnl h}



, kackh



h} hl h}ph}aw y 



h} hl wnkia dhkia khl mn}mnwac

    ⁋ 

Paw

}xpxh}{a, knka ~xh cxh}{wa ncîli}i} öcimndhc{h h} rîlika pnwn mn}mnwach} dxy khlonka}, pakhda} mac}ikhwnw ~xh

  

: hc{acmh}, ln bxhwvn wh}xl{nc{h }h macrihw{h hc

  

#

Hm# >#0

Mada h} hrikhc{h n pnw{iw kh ln }idh{wän kh xc mn}mnwac h}béwima, h}{n di}dn hmxnmiýc pnwn hl h}bxhwva ύ }h ag{hckwî }i }h pn}n xc plnca n {wnré} kh ln h}bhwn hc mxnl~xihw kiwhmmiýc# Paw la {nc{a, macmlxida} ~xh xcn h}bh h}bhwn wn “pwh}xwivnkn— h}{î }adh{ikn n h}bxhwva} xcibawdh} n {hc}iýc ύ hc {akn} ln} kiwhmmiach}# H}{n mackimiýc kh h}bxhwva }h whpwh}hc{n hc ln % Bio# >#7g ) paw hl ph~xhþa hlhdhc{a mac h}bxhwva} ύ ~xh nm{önc hc kiwhmmiach} dx{xndhc{h phwphckimxlnwh}# phwphckimxlnwh}# Hc ln }xphwbimih hu{hwiaw kh xc whmipihc{h h}béwima n pwh}iýc, ca nm{önc h}bxhwva} cawdnlh} n ln }xphwbimih, paw la ~xh ln mackimiýc kh h}bxhwva} h} xc mn}a h}phminl kh h}bxhwva ginuinl h} hl ~xh

  y 

}ac ioxnlh} %Bio# >#7$n)# N}ä, hl mäwmxla kh Daew pnwn h}{n mackimiýc kh h}bxhwva }h

whkxmh n xc pxc{a, y mnkn plnca icmlicnka h} xc plnca pwicmipnl# La} h}bxhwva} pwicmipnlh} }ac6

    

Hm# >#>

 [ndgiéc, hl h}bxhwva maw{nc{h dîuida hc hl plnca h} mhwa# ]ic hdgnwoa, }h khgh nkrhw{iw hl hlhdhc{a h} {wikidhc}iacnl

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka}



madpwh}iýc hc ln kiwhmmiýc , pwicmipnlh}6

%Bio# >#7$g)# H}{a} {wh} h}bxhwva} cawdnlh} }ac la} h}bxhwva}

       

Hm #>#=

Hl h}bxhwva maw{nc{h hc hl plnca h} mhwa, phwa hl h}bxhwva maw{nc{h bxhwn khl plnca %pwakxmika dhkinc{h xcn wa{nmiýc kh



nlwhkhkaw kh mxnl~xihwn kh la} hfh}

       ]i ln whlnmiýc kh

⁋



y   )  ) h}6

Hm# >#;

h} }xbimihc{hdhc{h ownckh, hl öl{ida {éwdica kh h}{n hmxnmiýc pxhkh

adi{iw}h# Hc{acmh} ln hmxnmiýc }h macrihw{h hc ln di}dn Hm#>#=, y }h pxhkh }xpachw ~xh hl h}bxhwva maw{nc{h dîuida h} mac}{nc{h n {wnré} khl h}ph}aw khl mn}mnwac# [aka {nc~xh h}béwima x{ilivnka mada whmipihc{h n pwh}iýc {hckwî nl dhca} xcn nghw{xwn hc ln pnwhk, n}ä mada rnwia} nmmh}awia} y }apaw{h}# H}{n mnwnm{hwä}{imn awioicn ki}{wigxmiach} ca xcibawdh} kh h}bxhwva} ~xh ca pxhkhc ncnlivnw}h dhkinc{h dé{aka} }idplh}# Mhwmn kh ln} ki}mac{icxiknkh} }h ohchwnc ownckh} h}bxhwva} hc hl mn}mnwac, paw la ~xh whbawvnw}h {nlh} whoiach}#

Whmipihc{h} miläckwima} }adh{ika} n pwh}iýc# La} whmipihc{h} miläckwima} mac }hmmiýc {wnc}rhw}nl miwmxlnw }h hcmxhc{wnc hc ic}{nlnmiach} ickx}{winlh} %{nc~xh} kh niwh madpwidika} y da{awh} kh maeh{h, hc mn}n} kh engi{nmiýc %hu{icoxikawh} kh icmhckia} y ln{n} kh waminkawh}) y hc owncfn} %{nc~xh} kh pwapnca} y }ila} kh

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka}

h}bxhwva} pwicmipnlh}# Khgika n }x kiwhmmiýc, hl h}bxhwva miwmxcbhwhcminl a h}bxhwva {ncohcminl: hc bawdn }idilnw,





}h khcadicn h}bxhwva

h} hl h}bxhwva lacoi{xkicnl a

h}bxhwva nuinl# Mnkn xca kh h}{a} h}bxhwva} pxhkh mnlmxlnw}h n pnw{iw p nw{iw khl h~xiligwia dhkinc{h hl

hdplha kh kinowndn} kh mxhwpa ligwh npwapinka}# Pnwn

kh{hwdicnw

hl

h}bxhwva

micmxcbhwhcminl



,

nplimnda} ka} maw{h} %dc y p~) phwphckimxlnwh} nl hfh lacoi{xkicnl y }hpnwnda} xcn ki}{ncmin g %Bioxwn >#=$n)# Lxhoa hbhm{xnda} xc {hwmhw maw{h hc xc plnca rhw{imnl n {wnrh} khl hfh lacoi{xkicnl khl {nc~xh mac la mxnl wh}xl{n hl kinowndn kh mxhwpa ligwh hupxh}{a hc ln bioxwn >#=$g# H}{h mxhwpa ligwh ca mac}i}{h }alndhc{h hc ln pihvn lacoi{xkicnl khl {nc~xh, }ica {ndgihc hl hl blxika mac{hcika khc{wa kh la} maw{h}# La} h}bxhwva} miwmxcbhwhcminlh}



y ln pwh}iac

ic{hwcn p nm{xnc }agwh hl maw{h lacoi{xkicnl %dcp~)# La} h}bxhwva} miwmxcbhwhcminlh}



~xh nm{xnc hc ln pnwhk

     

khl whmipihc{h {ihch xcn wh}xl{nc{h ioxnl n

, kackh {

h} hl h}ph}aw kh ln pnwhk# Nkhdî}, ln bxhwvn wh}xl{nc{h

kh

ln pwh}iýc ic{hwcn h} ioxnl n PkN47pg , kackh h} hl wnkia ic{hwiaw khl milickwa# Enmihcka h~xiligwia kh ln} hmxnmiach} nc{h} dhcmiacnkn} }h ag{ihch la }ioxihc{h %Hl h}bxhwva

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka}

lacoi{xkicnl y {ihch ln bxhwvn wh}xl{nc{h ioxnl n

 

# Ln bxhwvn wh}xl{nc{h

ioxnl n



  

ln pwh}iýc ic{hwcn h}

# Whnlivncka hl h~xiligwia kh bxhwvn} kh ln bio# >#=$m y kh}phfncka pnwn p

}h ag{ihch6

  

Hm#>#2

Ln khkxmmiýc kh ln} hmxnmiach} %>#2, ?) }h }xpx}a ~xh la} h}bxhwva} kh dhdgwncn n {wnré} kh ln} pnwhkh} khl whmipihc{h hwnc xcibawdh}#

7#  [WN  [WNC]BA C]BAWDN WDNMIAC MIAC KH H]BXHWVA] HC XC PXC[A Ln {wnc}bawdnmiýc khl h}bxhwva }iocibimn ln rnwinmiýc, mac ln kiwhmmiýc kh ln} madpachc{h} kh h}bxhwva hc xc pxc{a# HL h}{xkia kh h}{h {hdn }h whbihwh pwicmipnldhc{h n mn}a} gikidhc}iacnlh}, phwa {ndgiéc }h knc nloxca} wh}xl{nka} idpaw{nc{h} pnwn h}{nka} kh h}bxhwva} {wikidhc}iacnlh}# H}{h {hdn h} idpaw{nc{h hc ln kh{hwdicnmiýc kh la} h}bxhwva} dîuida} hc xc pxc{a kh xc hlhdhc{a y hc ln} kh{hwdicnmiach} kh h}bxhwva} ~xh pwakxmhc ln bnlln kh xc hlhdhc{a# En}{n neawn ehda} ri}{a la} h}bxhwva} öcimndhc{h hc mihw{a} plnca} maw{nc{h} ~xh pn}nc paw la} pxc{a} kh xc mxhwpa# Paw

Bioxwn 7#>

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka} whpwh}hc{nmiach} kh la} h}bxhwva} hc hl di}da pxc{a kh xc mxhwpa gikidhc}iacnl# Ln bio 7#7n whpwh}hc{n xc hlhdhc{a ni}lnka paw ka} plnca} maw{nc{h} icbici{ndhc{h mhwmnca} y dx{xndhc{h phwphckimxlnwh} ~xh }ac cawdnlh} n la} hfh} kh ln} maawkhcnkn} U$Y# ln bioxwn 7#7g dxh}{wn xc hlhdhc{a ni}lnka kh dnchwn }hdhfnc{h paw plnca} maw{nc{h} cawdnlh} n la} hfh} awihc{nka} kh dnchwn kibhwhc{h, U»$Y»# la} h}bxhwva} hc ln} mnwn} apxh}{n} kh mnkn xca kh h}{a} hlhdhc{a} }ac ioxnlh} y apxh}{a}, y }ac la} di}da} ~xh nm{önc }agwh la} lnka} apxh}{a} kh xc plnca maw{nc{h öcima# Mnkn xca kh la} hlhdhc{a} ni}lnka} ni}lnka} hc ln bioxwn 7#7 h}{n }adh{ika n ln nmmiýc kh h}bxhwva} kibhwhc{h} hc hl di}da pxc{a# Mnkn hlhdhc{a {ihch n}aminka} {wh} hlhdhc{a} kh h}bxhwva}# Hc ln

bioxwn 7#7n, 7#7n, ln} madpachc{h} madpachc{h} }h kh}iocnc ύu,ύy Y ϋuy hc ln} maawkhcnkn} maawkhcnkn} U $Y# ln} kh ln bioxwn 7#7g }h kh}iocnc ύu»,ύy» Y ϋu»y» hc ln} maawkhcnkn} U» $Y»# H}{a} ka} macfxc{a} kh madpachc{h} kh h}bxhwva ca }ac la} öcima} ~xh hui}{hc hc h}h pxc{a#

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka} Hl icbici{a cödhwa kh macfxc{a} kh madpachc{h} kh h}bxhwva} ~xh }h kh}mwigiý, ca }ac  ! 

 ! 

ickhphckihc{h}# Ln} madpachc{h} hc xc }i}{hdn nwgi{wnwia kh maawkhcnkn} U $ Y h}{îc whlnmiacnkn} mac ln} khl }i}{hdn  u$y# Ln} hmxnmiach} ~xh whlnmiacnc ln} madpachc{h} kh h}bxhwva} hc kibhwhc{h} }i}{hdn} kh maawkhcnkn} a, la ~xh h} la di}da, hc kibhwhc{h} plnca} maw{nc{h} ~xh pn}nc paw xc pxc{a, }h llndnc hmxnmiach} kh {wnc}bawdnmiýc khl h}bxhwva# Ln} hmxnmiach} kh {wnc}bawdnmiýc khl h}bxhwva }h ag{ihchc kh

Bioxwn 7#=

ln} mackimiach} kh h~xiligwia kh xc hlhdhc{a kh {ndnþa icbici{h}idnl mada hl ~xh }h dxh}{wn hc ln }ioxihc{h bioxwn# %bio#7#=) h}{n bawdnkn paw plnca} maw{nc{h} cawdnlh} n la} hfh} kh whbhwhcmin U,Y y paw xc {hwmhw plnca maw{nc{h cawdnl n xc hfh

icmlicnka U» ~xh bawdn xc îcoxla nwgi{wnwia nwgi{wnwia ε mac hl hfh u# La} h}bxhwva} hc ln mnwn mnwn icmlicnkn }ac ln} ka} madpachc{h} ύu» y ϋu»ϋy»n}aminka} ϋu»ϋy»n}amin ka} n ln} maawkhcnkn} u»,y»#

]h mac}ikhwnc

mnc{iknkh} pa}i{irn} }i {ihchc la} }hc{ika} ickimnka} y chon{irn} }i {ihchc la} }hc{ika} apxh}{a}#

Ln} mackimiach} ∞Bu»4 0 y∞By»40 pnwn hl hlhdhc{a kh ln bioxwn 7#= pwakxmhc ln} hupwh}iach} pnwn

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka} H}{n} hmxnmiach} knc hl h}bxhwva hc mxnl~xihwn khl icbici{a cödhwa kh plnca} maw{nc{h} ~xh pxhkhc pn}nw paw xc pxc{a kh xc mxhwpa, hc bxcmiýc kh xc macfxc{a nwgi{wnwia kh madpachc{h} kh h}bxhwva}  u$y# N}ä, xca }ala khl icbici{a cödhwa kh macfxc{a kh madpachc{h} kh h}bxhwva} hc xc pxc{a,

x{ilivnka mada macfxc{a kh whbhwhcmin fxc{a mac ln} hmxnmiach} kh {wnc}bawdnmiýc kh h}bxhwva, h} }xbimihc{h pnwn kh}mwigiw madplh{ndhc{h la} h}bxhwva} hc x pxc{a# ]h pxhkh khda}{wnw ~xh ln} hmxnmiach} 7$> y 7$7 {ndgiéc }ac nplimnglh} }i hl hlhdhc{a kh ln bioxwn 7#= {ihch nmhlhwnmiýc# Kh daka ~xh ln} hmxnmiach} 7$> y 7$7 }ac nplimnglh} gnfa ln} mackimiach} h}{î{imn} y kicîdimn} kh xc mxhwpa#

H]BXHWVA] PWICMIPNLH] Y H]BXHWVA] MAW[NC[H] DÎUIDA]#

Ln} hmxnmiach} kh {wnc}bawdnmiýc pnwn h}bxhwva} plnca} dxh}{wnc ~xh hl h}bxhwva cawdnl h}bxhwva maw{nc{h y



 

rnwänc hc bawdn mac{icxn }hoöc }h oiwn hl hlhdhc{a hc xc îcoxla

, y hl

# Mac

bich} kh ki}hþa, x}xnldhc{h }ac chmh}nwia} la rnlawh} dîuida} {nc{a pa}i{ira} mada mada chon{ira}# Pnwn

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka} dîuida: pnwn hl a{wa,





h} xc h}bxhwva pwicmipnl däcida# Mada la} ka} rnlawh} kh



kibihwh hc

, macmlxida} ~xh la} h}bxhwva} pwicmipnlh} amxwwhc hc plnca} dx{xndhc{h phwphckimxlnwh}#

La} rnlawh} kh la} h}bxhwva} pwicmipnlh} pxhkhc mnlmxlnw}h bîmildhc{h nl }x}{i{xiw mnkn xca kh la} ka} rnlawh} kh



hc ln

hmxnmiýc kh ln {wnc}bawdnmiýc kh h}bxhwva}%hm#7$=) y kh}phfnw



# Dhkinc{h h}{h pwamhkidihc{a pakhda} macamhw {ndgiéc

mxnlh} kh la} ka} h}bxhwva} pwicmipnlh} }h n}amin n mnkn xca kh la} ka} îcoxla} pwicmipnlh}

    Hc kackh 6



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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka}

Lxhoa, ln} bawdxln} nc{hwiawh} pxhkhc madgicnw}h hc xcn }aln býwdxln pnwn la} h}bxhwva} pwicmipnlh}6

            

%Hm#7$2)

H}{h wh}xl{nka kh la} h}bxhwva} pwicmipnlh}, kh}iocnka} paw

   

      

, hc bxcmiýc kh ln} madpachc{h} kh whbhwhcmin,

# Kackh }h h}phmibimý nc{hwiawdhc{h

,

, y

y

# La} h}bxhwva} pwicmipnlh} }ihdpwh whpwh}hc{nc la} rnlawh}

dnyaw y dhcaw kh



, hc xc pxc{a#

La} plnca} pwicmipnlh} pnwn hlhdhc{a} hc h}{nka} kh h}bxhwva} nuinl y ginuinl }ac la} di}da} plnca}  u y  y %Bio# 7#8), yn ~xh

   

%rén}h Hm# 7$;), y paw mac}ioxihc{h, la} ka} rnlawh}

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka} Dhkinc{h xc ncîli}i} {wikidhc}iacnl dî} madplh{a, pxhkh khda}{wnw}h ~xh la} {wh} plnca} pwicmipnlh} pnwn xc hlhdhc{a hc h}bxhwva plnca }ac la} ka} plnca} pwicmipnlh} ~xh }h enc kh}mwi{a, dî} ln mnwn  v khl hlhdhc{a# H}{a} plnca} pwicmipnlh} }h dxh}{wnc hc ln Bio#7#?g, kackh hl hlhdhc{a h}bawvnka kh ln Bio#7#?n en }ika oiwnka wh}phm{a nl hfh  v xc îcoxla



, ~xh h}

xca kh la} ka} îcoxla} kh{hwdicnka} paw ln Hm# %7$;)# La} h}bxhwva} pwicmipnlh} }ac ln Hm# %7$2) y



  

h} ioxnl n mhwa#

, kackh

  y

wh}xl{nc kh

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka} Hl rnlaw kh

  

mnlmxlnka mac ln hmxnmiýc %7$5) }h llndn “h}bxhwva maw{nc{h dîuida hc



hl plnca—, paw~xh nm{ön }agwh hl hlhdhc{a hc hl plnca u $y# }i }h }x}{i{xyhc }x}{i{xyhc la} rnlawh} kh }hc



ma}

y

hc ln hmxnmiýc %7$>),}h rh ~xh {ndgiéc eny xc h}bxhwva cawdnl }agwh la} plnca} kh h}bxhwva

maw{nc{h dîuida hc hl plnca# plnca# ]h ag{ihch6

    

%Hm#7$9)

MIWMXLA KH DAEW PNWN H]BXHWVA PLNCA

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka} ]h ca{n {ndgiéc ~xh mada {nc

   

h} ioxnl hc dnoci{xk n xca kh la} îcoxla} hmxnmiach} %7$;)# N}ä, hl îcoxla

,hl îcoxla  UMN

~xh }n{i}bnmhc ln}

~xh khbich ln bioxwn %7#9)ln

awihc{nmiýc khl plnca pwicmipnl mawwh}packihc{h nl pxc{a N hc ln bioxwn 7#9 pxhkh ag{hchw}h kirikihcka hc{wh ln di{nk hl îcoxla  UMN dhkika hc hl mäwmxla kh Daew# Ag}hwrh nkhdî} ~xh }i

    

30, mada hc hl mn}a mac}ikhwnka n~xä, ln wa{nmiýc

~xh {wnh MU  n MN h} hc }hc{ika mac{wnwia n ln} noxfn} khl whlaf# Phwa hc h}h mn}a hl îcoxla



ag{hcika kh ln hmxnmiýc %7$;), hl

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka} Ln pwapihknk ~xh }h nmngn kh ickimnw pxhkh x}nw}h pnwn rhwibimnw hl ehmea kh ~xh la} plnca} kh h}bxhwva maw{nc{h dîuida h}{îc n ;8° kh la} plnca} pwicmipnlh}# Mihw{ndhc{h, whmxhwkh ~xh la} pxc{a}  K y  H  khl mäwmxla kh Daew mawwh}packhc n la} plnca} kh h}bxhwva maw{nc{h dîuida, dihc{wn}  N y G mawwh}packhc n la} plnca} pwicmipnlh} %bioxwn 7#>>g)# Pxh}{a ~xh la} kiîdh{wa}  NG y KH khl mäwmxla kh Daew h}{îc n 90° hl xca khl a{wa, }h {ihch ~xh ln} mnwn} kh la} hlhdhc{a} mawwh}packihc{h} h}{îc n ;8° ln xcn kh ln a{wn %bioxwn7#>>n)#

n)

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka}

=# ]XPHWPAMIMIAC KH H]BXHWVA]

Hc ln pwîm{imn

kh ln icohcihwän, }h x}n n dhcxka hl

pwicmipia kh }xphwpa}imiýc hc ln }alxmiýc kh pwaglhdn}# Mxncka {hchda} xc dihdgwa ~xh h}{î }xfh{a n xc }i}{hdn kh mnwon madplh{a ~xh icralxmwn xc mihw{a cödhwa kh bxhwvn} kh kibhwhc{h} {ipa}, pakhda} kh{hwdicnw hl hbhm{a

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka}

rîlikn} mada }h dxh}{wn hc ln} bioxwn} n ln khwhmen ln} mxnlh} dxh}{wnc rnwia} hfhdpla} kh pwaglhdn} kh h}{h {ipa# ]ic hdgnwoa, h}{a} pwaglhdn} pxhkhc wh}alrhw}h

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka}

Hl ehmea kh ~xh ndgn} mnwon} pwakxmhc h}bxhwva} ~xh {ihchc ln di}dn lächn kh nmmiýc macbiwdn ~xh ln }xphwpa}imiýc kh h}bxhwva} h} rîlikn# La} h}bxhwva} hc mxnl~xihw bigwn pxhkhc mnlmxlnw}h mada6

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka}

dhkia kh ln} bawdxln} npwapinkn}# Hc{acmh} hl h}{nka madplh{a kh h}bxhwva} hc hl pxc{a hlhoika }h icrh}{ion x{ilivncka ln} whlnmiach} khkxmikn} nc{hwiawdhc{h a paw dhkia khl MIWMXLA KH DAEW# Hc pnw{imxlnw, pxhkhc mnlmxlnw}h la} h}bxhwva} pwicmipnlh} y la}

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka}

Macamihcka

  u

y

]h pxhkhc kh{hwdicnw la} h}bxhwva} hc xc hlhdhc{a oiwnka mxnl~xihw

îcoxla ~xh }h kh}hh hc hl pxc{a N#

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 Dhmîcimn Kh ]ýlika} III   H}bxhwva} madgicnka}

madpnwîcka}h la} rnlawh} ag{hcika} pnwn la} hlhdhc{a} N y G# ]i ln rion h}{n hdpa{wnkn kh dnkhwn dî} madplimnkn a }i ln bawdn kh ln }hmmiýc whm{n ca h} miwmxlnw n xc }h pxhkh ncnlivnw la} h}bxhwva} hc kirhw}a} pxc{a} kh ln gnwwn y

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