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

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-~raquo 32 0 ~ ~1 (x~ D ) = O

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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

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c _ ft _ -- - - - - fA ~ 000 335~ eacuteJ E]

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131S N Ilt 12S

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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

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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

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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 --_ _---___-_-------__---____----___-_--

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2) A-=oW1 I (x 1 = o ) () shy

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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

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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 --

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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]

A- 1e 2 2 ~

] 4f02~ Smiddot S-so - ~OMmiddot SDo + SOO IO~ (- 2 ~ 18 )

~oao Aoao

4

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ES3tlc tio ZII) f( yCi l ero--lt- 5Tz-11AA I FilAigt ~ ~~ Q cLsgt-Tigrave ltA

l 1 l 1 J Jlp _~Z- - shy - -

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I bull

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t t3t=J W-t = - W egrave -+ A )(+

7

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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

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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~)

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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~)

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3) Wz (xl - e ) == o

W~X4~e) = Mxt -= o)LI)

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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

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2) A-=oW1 I (x 1 = o ) () shy

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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~)

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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~)

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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~)

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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

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