TndustrialL - Andreadd.it · 2019. 12. 19. · A.Taliercio . 11101011201222:16, Marco Lombardelli...
Transcript of TndustrialL - Andreadd.it · 2019. 12. 19. · A.Taliercio . 11101011201222:16, Marco Lombardelli...
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Marco Lombardelli
Da Alberto Taliercigraveo [taligraveercistrupoligravemLigravet]
Inviato venerdl 13 gennaigraveo 20121038
A Marco Lombardelli
Oggetto Re esercitazigraveone 17-01-2012 ligravenea elastica
Caro Lombardelli grazie del materiale che mi ha mandato Per martedigrave prossimo (linea elastica) non faccia les l iperstatico percheacute non ho spiegato agli studenti come si trattano le molle l~itlreragravea1resrrsosiatico f~~L~i~_l~am~nt~X~s ip~~Yltjco e_luspiccedilagtllrRctn~~~1 isostatico c~~ mi p~e abbi~ delle implicazToni pratiche interessanti per degli ingegneri
TndustrialL Liperstatico no 2 lo lascerei perdere (dubito che si cisa tempo per farlo)
Lunedigrave 23 faremo la seconda prova in itinere (casi di St Venant + domande di teoria) Lei sarebbe disponibile a fare il guardiano in una delle due aule a disposizione Nellaltra ci sarograve io Conto su di lei anche per la correzione dei soli esercizi su St Venant Mi faccia sapere
Grazie e a risentirei
ATaliercio
1110101120122216 Marco Lombardelli ha scritto
Buonasera
Le invio in allegato i miei appunti personali relativi allesercitazione svolta oggi (10shy01-2012) sul PLV
In merito allesercitazione di martedigrave prossimo che se non erro dovrebbe essere lultima le propongo cinquegrave esercizi relativi al metodo della linea elastica due dei cinque trattano semplici strutture isostatiche (sono esercizi che ho svolto recentemente per il corso di Costruzione di macchine) mentre i rimanenti tre trattano strutture iperstatiche (sono esercizi che ho svolto a giungo 2011 nel corso di Ardito)
Mi faccia sapere se gli esercizi proposti per lesercitazione del 17-01 sono adeguati oppure se devo preparare altro materiale
Ringraziandola per lattenzione le porgo un cordiale saluto
MLombardelli
shy
150112012
vI t- - oi - 2012
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g c~ N-lAli l ]= I (()O IM4
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0A =- l le _ 1 fe = 3 7 S N fi ~ L - amp T
4ZS AI
j J J J J J
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xl JIH (f) = 3rsmiddot x - Amiddot - = 37)middot X- - o s x Z I ~(x ) l
t11 -1 zsmiddot (4(Joo - x) - A lS 000 - AZ)c - 12 (x)
lE J jJ 5 r A S _ rJ gt X ~ Agtt -io (3 2 3 3- 4
_ G2 S X 3_ 0 041( )L ltfa Amiddot x -t 31
Hl (xl = 425 ()ltJCgt - A25 x
lO g ~ 3 X ~ + c x + 1~
t- j 1- (x = o ) o
l ()lt e) 7deg 1 t (x = j ) ~ l (k =~ )
l) IX_ e )ljt ~ ~ z 1 c - i
B=o1shy
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l- t shy
3middot
I 4 w 4= igravei
L 3 S l1tS 101 T 500middot Z-11SO ~
( SI 2 42 S -t A ~ J 5 - I f 02 + I 4 amp + ) le) f - I () J C
0 J i Cmiddot ~tJ 23 = -IO --_ _---___-_-------__---____----___-_--
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_101 I r
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t t3t=J W-t = - W egrave -+ A )(+
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1) Wl (X1 - () ) - o ~ 8=-0
2) A-=oW1 I (x 1 = o ) () shy
3) Wz (xl - e ) == o
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lt- l re z W (Xl =o ~= V1 -= - -- shy5) Wl - eacuteAk f3A zEA
LI) M (X e)
w-e --
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ccedil J ft -= - ~o x-l-+ A x -+ B -= - ( U bullx+ Amiddot x+ B
E 111 = 100 Xz
EJ jz = 50 x -t C
E J 1z -= 46( x t- euro)(l f
-~raquo 32 0 ~ ~1 (x~ D ) = O
--4 ~ =- o2 bull 2 (x l = o ) o
3- 1J(X= 400 ) =2 (XI=tOJ) J S-4 6 middott ~ + A - 100 116 tu) + C 4deg0
4 ~1- 01 - 1(0) = - tz (xl ID~)
~ _ SO 40 + A _So LQPz - C ---IP A = - C
A 600 -~
A So)
C - 2 6amp5 600
c _ ft _ -- - - - - fA ~ 000 335~ eacuteJ E]
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Vampr l ~ ~~T4 tfedT lfdLoEs1 ~ ~ ECo-1 cA Sfo~7~To ~ 1teZ~4CI ~oSTA TI c4 )
f f-=1~ fIINI
~ J J J U e ZoOOtlO
g c~ N-lAli l ]= I (()O IM4
e2 P cII~ ~2 ~ e - 4400 NJotMoI
I e
-6 ~
0A =- l le _ 1 fe = 3 7 S N fi ~ L - amp T
4ZS AI
j J J J J J
131S N Ilt 12S
xl JIH (f) = 3rsmiddot x - Amiddot - = 37)middot X- - o s x Z I ~(x ) l
t11 -1 zsmiddot (4(Joo - x) - A lS 000 - AZ)c - 12 (x)
lE J jJ 5 r A S _ rJ gt X ~ Agtt -io (3 2 3 3- 4
_ G2 S X 3_ 0 041( )L ltfa Amiddot x -t 31
Hl (xl = 425 ()ltJCgt - A25 x
lO g ~ 3 X ~ + c x + 1~
t- j 1- (x = o ) o
l ()lt e) 7deg 1 t (x = j ) ~ l (k =~ )
l) IX_ e )ljt ~ ~ z 1 c - i
B=o1shy
2middot
3
l- t shy
3middot
I 4 w 4= igravei
L 3 S l1tS 101 T 500middot Z-11SO ~
( SI 2 42 S -t A ~ J 5 - I f 02 + I 4 amp + ) le) f - I () J C
0 J i Cmiddot ~tJ 23 = -IO --_ _---___-_-------__---____----___-_--
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_101 I r
Ii iA-= - 2 ~I 4 i IO
JL
bullI
A- 1e 2 2 ~
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l 1 l 1 J Jlp _~Z- - shy - -
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~ I
I
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I bull
I Xishy
w~ I
e ~ ~
~(j)e A-~~
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2) A-=oW1 I (x 1 = o ) () shy
3) Wz (xl - e ) == o
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lt- l re z W (Xl =o ~= V1 -= - -- shy5) Wl - eacuteAk f3A zEA
LI) M (X e)
w-e --
E-]
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--
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llEJ
1
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~ raquo)e Jlal --I
H (X1) = - Aoo Xt
o L X2 L 4~
r J 0 z _ SO X1-f AI- I~ = - 7)lt1 -t A
ccedil J ft -= - ~o x-l-+ A x -+ B -= - ( U bullx+ Amiddot x+ B
E 111 = 100 Xz
EJ jz = 50 x -t C
E J 1z -= 46( x t- euro)(l f
-~raquo 32 0 ~ ~1 (x~ D ) = O
--4 ~ =- o2 bull 2 (x l = o ) o
3- 1J(X= 400 ) =2 (XI=tOJ) J S-4 6 middott ~ + A - 100 116 tu) + C 4deg0
4 ~1- 01 - 1(0) = - tz (xl ID~)
~ _ SO 40 + A _So LQPz - C ---IP A = - C
A 600 -~
A So)
C - 2 6amp5 600
c _ ft _ -- - - - - fA ~ 000 335~ eacuteJ E]
j J J J J J
131S N Ilt 12S
xl JIH (f) = 3rsmiddot x - Amiddot - = 37)middot X- - o s x Z I ~(x ) l
t11 -1 zsmiddot (4(Joo - x) - A lS 000 - AZ)c - 12 (x)
lE J jJ 5 r A S _ rJ gt X ~ Agtt -io (3 2 3 3- 4
_ G2 S X 3_ 0 041( )L ltfa Amiddot x -t 31
Hl (xl = 425 ()ltJCgt - A25 x
lO g ~ 3 X ~ + c x + 1~
t- j 1- (x = o ) o
l ()lt e) 7deg 1 t (x = j ) ~ l (k =~ )
l) IX_ e )ljt ~ ~ z 1 c - i
B=o1shy
2middot
3
l- t shy
3middot
I 4 w 4= igravei
L 3 S l1tS 101 T 500middot Z-11SO ~
( SI 2 42 S -t A ~ J 5 - I f 02 + I 4 amp + ) le) f - I () J C
0 J i Cmiddot ~tJ 23 = -IO --_ _---___-_-------__---____----___-_--
I f I C = 44 2 ~ IO _ _ 4t l 2 $ IO f
_101 I r
Ii iA-= - 2 ~I 4 i IO
JL
bullI
A- 1e 2 2 ~
] 4f02~ Smiddot S-so - ~OMmiddot SDo + SOO IO~ (- 2 ~ 18 )
~oao Aoao
4
E)~RClrAZloE bH ~ l~iJ47-01-20-12
ES3tlc tio ZII) f( yCi l ero--lt- 5Tz-11AA I FilAigt ~ ~~ Q cLsgt-Tigrave ltA
l 1 l 1 J Jlp _~Z- - shy - -
lI
e
~ I
I
EAJ~
I bull
I Xishy
w~ I
e ~ ~
~(j)e A-~~
~ligraveV( ~VAz-~ txJ W
EJ w = - lA eJ M= -w-xl+A
t t3t=J W-t = - W egrave -+ A )(+
7
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J l J l Pl- J W t j V1- 1v~
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x z W -+ lhmiddot X l - f z1
l
e w (XE5td4 Z cPk
t-eA ~Glt1
W - f -)(J -t- -)ll +-- z e 2
---
4 - I 1~7e S
1) Wl (X1 - () ) - o ~ 8=-0
2) A-=oW1 I (x 1 = o ) () shy
3) Wz (xl - e ) == o
W~X4~e) = Mxt -= o)LI)
lt- l re z W (Xl =o ~= V1 -= - -- shy5) Wl - eacuteAk f3A zEA
LI) M (X e)
w-e --
E-]
-- - ----
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llEJ
1
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L
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I ~()o
~
01~t ( ~(J QDQ )
L feJi(JA-07e 1t i
30~l~ XlI t fAOt1N~
AfO ftIJ~)
ampeacuteKgt 49-0 4 Cl
~ raquo)e Jlal --I
H (X1) = - Aoo Xt
o L X2 L 4~
r J 0 z _ SO X1-f AI- I~ = - 7)lt1 -t A
ccedil J ft -= - ~o x-l-+ A x -+ B -= - ( U bullx+ Amiddot x+ B
E 111 = 100 Xz
EJ jz = 50 x -t C
E J 1z -= 46( x t- euro)(l f
-~raquo 32 0 ~ ~1 (x~ D ) = O
--4 ~ =- o2 bull 2 (x l = o ) o
3- 1J(X= 400 ) =2 (XI=tOJ) J S-4 6 middott ~ + A - 100 116 tu) + C 4deg0
4 ~1- 01 - 1(0) = - tz (xl ID~)
~ _ SO 40 + A _So LQPz - C ---IP A = - C
A 600 -~
A So)
C - 2 6amp5 600
c _ ft _ -- - - - - fA ~ 000 335~ eacuteJ E]
Hl (xl = 425 ()ltJCgt - A25 x
lO g ~ 3 X ~ + c x + 1~
t- j 1- (x = o ) o
l ()lt e) 7deg 1 t (x = j ) ~ l (k =~ )
l) IX_ e )ljt ~ ~ z 1 c - i
B=o1shy
2middot
3
l- t shy
3middot
I 4 w 4= igravei
L 3 S l1tS 101 T 500middot Z-11SO ~
( SI 2 42 S -t A ~ J 5 - I f 02 + I 4 amp + ) le) f - I () J C
0 J i Cmiddot ~tJ 23 = -IO --_ _---___-_-------__---____----___-_--
I f I C = 44 2 ~ IO _ _ 4t l 2 $ IO f
_101 I r
Ii iA-= - 2 ~I 4 i IO
JL
bullI
A- 1e 2 2 ~
] 4f02~ Smiddot S-so - ~OMmiddot SDo + SOO IO~ (- 2 ~ 18 )
~oao Aoao
4
E)~RClrAZloE bH ~ l~iJ47-01-20-12
ES3tlc tio ZII) f( yCi l ero--lt- 5Tz-11AA I FilAigt ~ ~~ Q cLsgt-Tigrave ltA
l 1 l 1 J Jlp _~Z- - shy - -
lI
e
~ I
I
EAJ~
I bull
I Xishy
w~ I
e ~ ~
~(j)e A-~~
~ligraveV( ~VAz-~ txJ W
EJ w = - lA eJ M= -w-xl+A
t t3t=J W-t = - W egrave -+ A )(+
7
SCUYtA-- ~ AA- e_v 1Me-V - Ci) ~
J l J l Pl- J W t j V1- 1v~
fe LAf(et ( e w - -+shy V2 z e V -- f l - e IV~~middot
x z W -+ lhmiddot X l - f z1
l
e w (XE5td4 Z cPk
t-eA ~Glt1
W - f -)(J -t- -)ll +-- z e 2
---
4 - I 1~7e S
1) Wl (X1 - () ) - o ~ 8=-0
2) A-=oW1 I (x 1 = o ) () shy
3) Wz (xl - e ) == o
W~X4~e) = Mxt -= o)LI)
lt- l re z W (Xl =o ~= V1 -= - -- shy5) Wl - eacuteAk f3A zEA
LI) M (X e)
w-e --
E-]
-- - ----
--
~7Tmiddot~-~-2(~~e-~---------------0
we 1
llEJ
1
pe middotw
i+(_- )-0Et ~-
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L
W --fE ~t J _ _ pe 2shy
gegrave6J I ~amp- - 32
we~ -- +
e1
pe fr 24t - 7zif
-f ~l_
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v~TA Z1(- t ddamp- GfA f ~ tid~ Te VlJ~
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~ ~ ~TI(A
bull
I ~()o
~
01~t ( ~(J QDQ )
L feJi(JA-07e 1t i
30~l~ XlI t fAOt1N~
AfO ftIJ~)
ampeacuteKgt 49-0 4 Cl
~ raquo)e Jlal --I
H (X1) = - Aoo Xt
o L X2 L 4~
r J 0 z _ SO X1-f AI- I~ = - 7)lt1 -t A
ccedil J ft -= - ~o x-l-+ A x -+ B -= - ( U bullx+ Amiddot x+ B
E 111 = 100 Xz
EJ jz = 50 x -t C
E J 1z -= 46( x t- euro)(l f
-~raquo 32 0 ~ ~1 (x~ D ) = O
--4 ~ =- o2 bull 2 (x l = o ) o
3- 1J(X= 400 ) =2 (XI=tOJ) J S-4 6 middott ~ + A - 100 116 tu) + C 4deg0
4 ~1- 01 - 1(0) = - tz (xl ID~)
~ _ SO 40 + A _So LQPz - C ---IP A = - C
A 600 -~
A So)
C - 2 6amp5 600
c _ ft _ -- - - - - fA ~ 000 335~ eacuteJ E]
3
l- t shy
3middot
I 4 w 4= igravei
L 3 S l1tS 101 T 500middot Z-11SO ~
( SI 2 42 S -t A ~ J 5 - I f 02 + I 4 amp + ) le) f - I () J C
0 J i Cmiddot ~tJ 23 = -IO --_ _---___-_-------__---____----___-_--
I f I C = 44 2 ~ IO _ _ 4t l 2 $ IO f
_101 I r
Ii iA-= - 2 ~I 4 i IO
JL
bullI
A- 1e 2 2 ~
] 4f02~ Smiddot S-so - ~OMmiddot SDo + SOO IO~ (- 2 ~ 18 )
~oao Aoao
4
E)~RClrAZloE bH ~ l~iJ47-01-20-12
ES3tlc tio ZII) f( yCi l ero--lt- 5Tz-11AA I FilAigt ~ ~~ Q cLsgt-Tigrave ltA
l 1 l 1 J Jlp _~Z- - shy - -
lI
e
~ I
I
EAJ~
I bull
I Xishy
w~ I
e ~ ~
~(j)e A-~~
~ligraveV( ~VAz-~ txJ W
EJ w = - lA eJ M= -w-xl+A
t t3t=J W-t = - W egrave -+ A )(+
7
SCUYtA-- ~ AA- e_v 1Me-V - Ci) ~
J l J l Pl- J W t j V1- 1v~
fe LAf(et ( e w - -+shy V2 z e V -- f l - e IV~~middot
x z W -+ lhmiddot X l - f z1
l
e w (XE5td4 Z cPk
t-eA ~Glt1
W - f -)(J -t- -)ll +-- z e 2
---
4 - I 1~7e S
1) Wl (X1 - () ) - o ~ 8=-0
2) A-=oW1 I (x 1 = o ) () shy
3) Wz (xl - e ) == o
W~X4~e) = Mxt -= o)LI)
lt- l re z W (Xl =o ~= V1 -= - -- shy5) Wl - eacuteAk f3A zEA
LI) M (X e)
w-e --
E-]
-- - ----
--
~7Tmiddot~-~-2(~~e-~---------------0
we 1
llEJ
1
pe middotw
i+(_- )-0Et ~-
ZEA
L
W --fE ~t J _ _ pe 2shy
gegrave6J I ~amp- - 32
we~ -- +
e1
pe fr 24t - 7zif
-f ~l_
_ -_~-
~~~middot47-o1-201Z
v~TA Z1(- t ddamp- GfA f ~ tid~ Te VlJ~
ioO
~ ~ ~TI(A
bull
I ~()o
~
01~t ( ~(J QDQ )
L feJi(JA-07e 1t i
30~l~ XlI t fAOt1N~
AfO ftIJ~)
ampeacuteKgt 49-0 4 Cl
~ raquo)e Jlal --I
H (X1) = - Aoo Xt
o L X2 L 4~
r J 0 z _ SO X1-f AI- I~ = - 7)lt1 -t A
ccedil J ft -= - ~o x-l-+ A x -+ B -= - ( U bullx+ Amiddot x+ B
E 111 = 100 Xz
EJ jz = 50 x -t C
E J 1z -= 46( x t- euro)(l f
-~raquo 32 0 ~ ~1 (x~ D ) = O
--4 ~ =- o2 bull 2 (x l = o ) o
3- 1J(X= 400 ) =2 (XI=tOJ) J S-4 6 middott ~ + A - 100 116 tu) + C 4deg0
4 ~1- 01 - 1(0) = - tz (xl ID~)
~ _ SO 40 + A _So LQPz - C ---IP A = - C
A 600 -~
A So)
C - 2 6amp5 600
c _ ft _ -- - - - - fA ~ 000 335~ eacuteJ E]
A- 1e 2 2 ~
] 4f02~ Smiddot S-so - ~OMmiddot SDo + SOO IO~ (- 2 ~ 18 )
~oao Aoao
4
E)~RClrAZloE bH ~ l~iJ47-01-20-12
ES3tlc tio ZII) f( yCi l ero--lt- 5Tz-11AA I FilAigt ~ ~~ Q cLsgt-Tigrave ltA
l 1 l 1 J Jlp _~Z- - shy - -
lI
e
~ I
I
EAJ~
I bull
I Xishy
w~ I
e ~ ~
~(j)e A-~~
~ligraveV( ~VAz-~ txJ W
EJ w = - lA eJ M= -w-xl+A
t t3t=J W-t = - W egrave -+ A )(+
7
SCUYtA-- ~ AA- e_v 1Me-V - Ci) ~
J l J l Pl- J W t j V1- 1v~
fe LAf(et ( e w - -+shy V2 z e V -- f l - e IV~~middot
x z W -+ lhmiddot X l - f z1
l
e w (XE5td4 Z cPk
t-eA ~Glt1
W - f -)(J -t- -)ll +-- z e 2
---
4 - I 1~7e S
1) Wl (X1 - () ) - o ~ 8=-0
2) A-=oW1 I (x 1 = o ) () shy
3) Wz (xl - e ) == o
W~X4~e) = Mxt -= o)LI)
lt- l re z W (Xl =o ~= V1 -= - -- shy5) Wl - eacuteAk f3A zEA
LI) M (X e)
w-e --
E-]
-- - ----
--
~7Tmiddot~-~-2(~~e-~---------------0
we 1
llEJ
1
pe middotw
i+(_- )-0Et ~-
ZEA
L
W --fE ~t J _ _ pe 2shy
gegrave6J I ~amp- - 32
we~ -- +
e1
pe fr 24t - 7zif
-f ~l_
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~~~middot47-o1-201Z
v~TA Z1(- t ddamp- GfA f ~ tid~ Te VlJ~
ioO
~ ~ ~TI(A
bull
I ~()o
~
01~t ( ~(J QDQ )
L feJi(JA-07e 1t i
30~l~ XlI t fAOt1N~
AfO ftIJ~)
ampeacuteKgt 49-0 4 Cl
~ raquo)e Jlal --I
H (X1) = - Aoo Xt
o L X2 L 4~
r J 0 z _ SO X1-f AI- I~ = - 7)lt1 -t A
ccedil J ft -= - ~o x-l-+ A x -+ B -= - ( U bullx+ Amiddot x+ B
E 111 = 100 Xz
EJ jz = 50 x -t C
E J 1z -= 46( x t- euro)(l f
-~raquo 32 0 ~ ~1 (x~ D ) = O
--4 ~ =- o2 bull 2 (x l = o ) o
3- 1J(X= 400 ) =2 (XI=tOJ) J S-4 6 middott ~ + A - 100 116 tu) + C 4deg0
4 ~1- 01 - 1(0) = - tz (xl ID~)
~ _ SO 40 + A _So LQPz - C ---IP A = - C
A 600 -~
A So)
C - 2 6amp5 600
c _ ft _ -- - - - - fA ~ 000 335~ eacuteJ E]
E)~RClrAZloE bH ~ l~iJ47-01-20-12
ES3tlc tio ZII) f( yCi l ero--lt- 5Tz-11AA I FilAigt ~ ~~ Q cLsgt-Tigrave ltA
l 1 l 1 J Jlp _~Z- - shy - -
lI
e
~ I
I
EAJ~
I bull
I Xishy
w~ I
e ~ ~
~(j)e A-~~
~ligraveV( ~VAz-~ txJ W
EJ w = - lA eJ M= -w-xl+A
t t3t=J W-t = - W egrave -+ A )(+
7
SCUYtA-- ~ AA- e_v 1Me-V - Ci) ~
J l J l Pl- J W t j V1- 1v~
fe LAf(et ( e w - -+shy V2 z e V -- f l - e IV~~middot
x z W -+ lhmiddot X l - f z1
l
e w (XE5td4 Z cPk
t-eA ~Glt1
W - f -)(J -t- -)ll +-- z e 2
---
4 - I 1~7e S
1) Wl (X1 - () ) - o ~ 8=-0
2) A-=oW1 I (x 1 = o ) () shy
3) Wz (xl - e ) == o
W~X4~e) = Mxt -= o)LI)
lt- l re z W (Xl =o ~= V1 -= - -- shy5) Wl - eacuteAk f3A zEA
LI) M (X e)
w-e --
E-]
-- - ----
--
~7Tmiddot~-~-2(~~e-~---------------0
we 1
llEJ
1
pe middotw
i+(_- )-0Et ~-
ZEA
L
W --fE ~t J _ _ pe 2shy
gegrave6J I ~amp- - 32
we~ -- +
e1
pe fr 24t - 7zif
-f ~l_
_ -_~-
~~~middot47-o1-201Z
v~TA Z1(- t ddamp- GfA f ~ tid~ Te VlJ~
ioO
~ ~ ~TI(A
bull
I ~()o
~
01~t ( ~(J QDQ )
L feJi(JA-07e 1t i
30~l~ XlI t fAOt1N~
AfO ftIJ~)
ampeacuteKgt 49-0 4 Cl
~ raquo)e Jlal --I
H (X1) = - Aoo Xt
o L X2 L 4~
r J 0 z _ SO X1-f AI- I~ = - 7)lt1 -t A
ccedil J ft -= - ~o x-l-+ A x -+ B -= - ( U bullx+ Amiddot x+ B
E 111 = 100 Xz
EJ jz = 50 x -t C
E J 1z -= 46( x t- euro)(l f
-~raquo 32 0 ~ ~1 (x~ D ) = O
--4 ~ =- o2 bull 2 (x l = o ) o
3- 1J(X= 400 ) =2 (XI=tOJ) J S-4 6 middott ~ + A - 100 116 tu) + C 4deg0
4 ~1- 01 - 1(0) = - tz (xl ID~)
~ _ SO 40 + A _So LQPz - C ---IP A = - C
A 600 -~
A So)
C - 2 6amp5 600
c _ ft _ -- - - - - fA ~ 000 335~ eacuteJ E]
7
SCUYtA-- ~ AA- e_v 1Me-V - Ci) ~
J l J l Pl- J W t j V1- 1v~
fe LAf(et ( e w - -+shy V2 z e V -- f l - e IV~~middot
x z W -+ lhmiddot X l - f z1
l
e w (XE5td4 Z cPk
t-eA ~Glt1
W - f -)(J -t- -)ll +-- z e 2
---
4 - I 1~7e S
1) Wl (X1 - () ) - o ~ 8=-0
2) A-=oW1 I (x 1 = o ) () shy
3) Wz (xl - e ) == o
W~X4~e) = Mxt -= o)LI)
lt- l re z W (Xl =o ~= V1 -= - -- shy5) Wl - eacuteAk f3A zEA
LI) M (X e)
w-e --
E-]
-- - ----
--
~7Tmiddot~-~-2(~~e-~---------------0
we 1
llEJ
1
pe middotw
i+(_- )-0Et ~-
ZEA
L
W --fE ~t J _ _ pe 2shy
gegrave6J I ~amp- - 32
we~ -- +
e1
pe fr 24t - 7zif
-f ~l_
_ -_~-
~~~middot47-o1-201Z
v~TA Z1(- t ddamp- GfA f ~ tid~ Te VlJ~
ioO
~ ~ ~TI(A
bull
I ~()o
~
01~t ( ~(J QDQ )
L feJi(JA-07e 1t i
30~l~ XlI t fAOt1N~
AfO ftIJ~)
ampeacuteKgt 49-0 4 Cl
~ raquo)e Jlal --I
H (X1) = - Aoo Xt
o L X2 L 4~
r J 0 z _ SO X1-f AI- I~ = - 7)lt1 -t A
ccedil J ft -= - ~o x-l-+ A x -+ B -= - ( U bullx+ Amiddot x+ B
E 111 = 100 Xz
EJ jz = 50 x -t C
E J 1z -= 46( x t- euro)(l f
-~raquo 32 0 ~ ~1 (x~ D ) = O
--4 ~ =- o2 bull 2 (x l = o ) o
3- 1J(X= 400 ) =2 (XI=tOJ) J S-4 6 middott ~ + A - 100 116 tu) + C 4deg0
4 ~1- 01 - 1(0) = - tz (xl ID~)
~ _ SO 40 + A _So LQPz - C ---IP A = - C
A 600 -~
A So)
C - 2 6amp5 600
c _ ft _ -- - - - - fA ~ 000 335~ eacuteJ E]
---
4 - I 1~7e S
1) Wl (X1 - () ) - o ~ 8=-0
2) A-=oW1 I (x 1 = o ) () shy
3) Wz (xl - e ) == o
W~X4~e) = Mxt -= o)LI)
lt- l re z W (Xl =o ~= V1 -= - -- shy5) Wl - eacuteAk f3A zEA
LI) M (X e)
w-e --
E-]
-- - ----
--
~7Tmiddot~-~-2(~~e-~---------------0
we 1
llEJ
1
pe middotw
i+(_- )-0Et ~-
ZEA
L
W --fE ~t J _ _ pe 2shy
gegrave6J I ~amp- - 32
we~ -- +
e1
pe fr 24t - 7zif
-f ~l_
_ -_~-
~~~middot47-o1-201Z
v~TA Z1(- t ddamp- GfA f ~ tid~ Te VlJ~
ioO
~ ~ ~TI(A
bull
I ~()o
~
01~t ( ~(J QDQ )
L feJi(JA-07e 1t i
30~l~ XlI t fAOt1N~
AfO ftIJ~)
ampeacuteKgt 49-0 4 Cl
~ raquo)e Jlal --I
H (X1) = - Aoo Xt
o L X2 L 4~
r J 0 z _ SO X1-f AI- I~ = - 7)lt1 -t A
ccedil J ft -= - ~o x-l-+ A x -+ B -= - ( U bullx+ Amiddot x+ B
E 111 = 100 Xz
EJ jz = 50 x -t C
E J 1z -= 46( x t- euro)(l f
-~raquo 32 0 ~ ~1 (x~ D ) = O
--4 ~ =- o2 bull 2 (x l = o ) o
3- 1J(X= 400 ) =2 (XI=tOJ) J S-4 6 middott ~ + A - 100 116 tu) + C 4deg0
4 ~1- 01 - 1(0) = - tz (xl ID~)
~ _ SO 40 + A _So LQPz - C ---IP A = - C
A 600 -~
A So)
C - 2 6amp5 600
c _ ft _ -- - - - - fA ~ 000 335~ eacuteJ E]
-- - ----
--
~7Tmiddot~-~-2(~~e-~---------------0
we 1
llEJ
1
pe middotw
i+(_- )-0Et ~-
ZEA
L
W --fE ~t J _ _ pe 2shy
gegrave6J I ~amp- - 32
we~ -- +
e1
pe fr 24t - 7zif
-f ~l_
_ -_~-
~~~middot47-o1-201Z
v~TA Z1(- t ddamp- GfA f ~ tid~ Te VlJ~
ioO
~ ~ ~TI(A
bull
I ~()o
~
01~t ( ~(J QDQ )
L feJi(JA-07e 1t i
30~l~ XlI t fAOt1N~
AfO ftIJ~)
ampeacuteKgt 49-0 4 Cl
~ raquo)e Jlal --I
H (X1) = - Aoo Xt
o L X2 L 4~
r J 0 z _ SO X1-f AI- I~ = - 7)lt1 -t A
ccedil J ft -= - ~o x-l-+ A x -+ B -= - ( U bullx+ Amiddot x+ B
E 111 = 100 Xz
EJ jz = 50 x -t C
E J 1z -= 46( x t- euro)(l f
-~raquo 32 0 ~ ~1 (x~ D ) = O
--4 ~ =- o2 bull 2 (x l = o ) o
3- 1J(X= 400 ) =2 (XI=tOJ) J S-4 6 middott ~ + A - 100 116 tu) + C 4deg0
4 ~1- 01 - 1(0) = - tz (xl ID~)
~ _ SO 40 + A _So LQPz - C ---IP A = - C
A 600 -~
A So)
C - 2 6amp5 600
c _ ft _ -- - - - - fA ~ 000 335~ eacuteJ E]
~~~middot47-o1-201Z
v~TA Z1(- t ddamp- GfA f ~ tid~ Te VlJ~
ioO
~ ~ ~TI(A
bull
I ~()o
~
01~t ( ~(J QDQ )
L feJi(JA-07e 1t i
30~l~ XlI t fAOt1N~
AfO ftIJ~)
ampeacuteKgt 49-0 4 Cl
~ raquo)e Jlal --I
H (X1) = - Aoo Xt
o L X2 L 4~
r J 0 z _ SO X1-f AI- I~ = - 7)lt1 -t A
ccedil J ft -= - ~o x-l-+ A x -+ B -= - ( U bullx+ Amiddot x+ B
E 111 = 100 Xz
EJ jz = 50 x -t C
E J 1z -= 46( x t- euro)(l f
-~raquo 32 0 ~ ~1 (x~ D ) = O
--4 ~ =- o2 bull 2 (x l = o ) o
3- 1J(X= 400 ) =2 (XI=tOJ) J S-4 6 middott ~ + A - 100 116 tu) + C 4deg0
4 ~1- 01 - 1(0) = - tz (xl ID~)
~ _ SO 40 + A _So LQPz - C ---IP A = - C
A 600 -~
A So)
C - 2 6amp5 600
c _ ft _ -- - - - - fA ~ 000 335~ eacuteJ E]
01~t ( ~(J QDQ )
L feJi(JA-07e 1t i
30~l~ XlI t fAOt1N~
AfO ftIJ~)
ampeacuteKgt 49-0 4 Cl
~ raquo)e Jlal --I
H (X1) = - Aoo Xt
o L X2 L 4~
r J 0 z _ SO X1-f AI- I~ = - 7)lt1 -t A
ccedil J ft -= - ~o x-l-+ A x -+ B -= - ( U bullx+ Amiddot x+ B
E 111 = 100 Xz
EJ jz = 50 x -t C
E J 1z -= 46( x t- euro)(l f
-~raquo 32 0 ~ ~1 (x~ D ) = O
--4 ~ =- o2 bull 2 (x l = o ) o
3- 1J(X= 400 ) =2 (XI=tOJ) J S-4 6 middott ~ + A - 100 116 tu) + C 4deg0
4 ~1- 01 - 1(0) = - tz (xl ID~)
~ _ SO 40 + A _So LQPz - C ---IP A = - C
A 600 -~
A So)
C - 2 6amp5 600
c _ ft _ -- - - - - fA ~ 000 335~ eacuteJ E]
-~raquo 32 0 ~ ~1 (x~ D ) = O
--4 ~ =- o2 bull 2 (x l = o ) o
3- 1J(X= 400 ) =2 (XI=tOJ) J S-4 6 middott ~ + A - 100 116 tu) + C 4deg0
4 ~1- 01 - 1(0) = - tz (xl ID~)
~ _ SO 40 + A _So LQPz - C ---IP A = - C
A 600 -~
A So)
C - 2 6amp5 600
c _ ft _ -- - - - - fA ~ 000 335~ eacuteJ E]
c _ ft _ -- - - - - fA ~ 000 335~ eacuteJ E]