69
CORSO DI LAUREA IN INGEGNERIA CIVILE IDROLOGIA A.A. 2010 – 2011 ESERCITAZIONI DI IDROLOGIA DOCENTE: Prof. ____________ ESERCITATORE: Ing. _______ STUDENTI ______________ ______________ ______________

ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

  • Upload
    others

  • View
    10

  • Download
    0

Embed Size (px)

Citation preview

Page 1: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

CORSO DI LAUREA IN INGEGNERIA CIVILE IDROLOGIA

A.A. 2010 – 2011

ESERCITAZIONI DI IDROLOGIA

DOCENTE: Prof. ____________

ESERCITATORE: Ing. _______

STUDENTI

______________ ______________ ______________

Page 2: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,----------------------------------------------------------------------------------

!"#$%&'()&*+# ,!"!#$%$ &$ %'($' &$ &!)$

.!/012! ,

.& %*+"&3#$& 4( "#$&# "'*$&%( 3#44# 5*$'('# 6(""&6# (++7# 6&"7$('# "744( 8*$( 9(4'#( (:(;(<+("%*= .& #>>#''7&+* 4# "#<7#+'& (+(4&"&?

,- .&(/$(00( %$*+*1*/&%* 2#11( "#$&#

04 3&(<$(66( %$*+*4*<&%* 3& 7+( "#$&# 3& 3('& ;&#+# %*"'$7&'* 3&(<$(66(+3* 4# 5*$'('#6(""&6# &+ >7+)&*+# 3#<4& (++& &+ %7& "*+* "'('# 6&"7$('#= 2#4 %("* &+ %7& &+ 7+ (++* 5$#%&"*+*+ "&(+* "'('# $&4#;('#@ +#4 <$(>&%* "& ;#$&>&%A#$B 7+( 3&"%*+'&+7&'B +#44( 4&+#($&'B 3#44*"'#""*=

8(4 3&(<$(66( "*''*"'(+'# "& 57C +*'($# %*6# <4& (++& &+ %7& +*+ D (;;#+7'* &4 $&4#;(6#+'*"&(+* "'('& E7#44& '$( &4 ,FG, # &4 ,FGH@ # &4 GII,= J( 5*$'('( 6(""&6( &+ HK (++& "& D ;#$&>&%('(+#4 GIII %*+ 7+ ;(4*$# 3& KIII 6KL"@ 6#+'$# &4 ;(4*$# 6&+&6* D "'('* $&4#;('* +#4 ,FHF %*+GKG 6KL"=

I@I

MII@I

,III@I

,MII@I

GIII@I

GMII@I

KIII@I

KMII@I

,FGI

,FGK

,FGN

,FGF

,FKG

,FKM

,FKH

,FO,

,FOO

,FOP

,FMI

,FMK

,FMN

,FMF

,FNG

,FNM

,FNH

,FP,

,FPO

,FPP

,FHI

,FHK

,FHN

,FHF

,FFG

,FFM

,FFH

GII,

3*$'('#40

5 6"7

' 4(++&7

8&/9$( ,:, 8&(<$(66( %$*+*4*<&%* 3#44# "#$&#

,

Page 3: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,----------------------------------------------------------------------------------

;- .&(/$(00( 2#11# <$#=9#+)# $#1('&># 2& %1(""#

Q#$ $(55$#"#+'($# &4 3&(<$(66( 3#44# >$#E7#+)# $#4('&;# %7674('#@ D +#%#""($&* "733&;&3#$#&4 %(65&*+# &+ 7+ +76#$* 3& %4(""& R 3& (65&#))( 5($& (?

%*+

.& *''#+<*+* E7&+3& ,, %4(""& 3& (65&#))( 5($& ( GM,?

?(@#11( ,:, S4(""& &+ %7& D "'('* "733&;&"* &4 %(65&*+#

A1(""# &+'#$>(11& %1(""# #1#0#+'& +#11( %1(""#

, GKG@I OHK@N ,K

G OHK@N PKM@K GN

K PKM@K FHN@F ,H

O FHN@F ,GKH@M F

M ,GKH@M ,OFI@G G

N ,OFI@G ,PO,@H ,

P ,PO,@H ,FFK@M G

H ,FFK@M GGOM@, I

F GGOM@, GOFN@P ,

,I GOFN@P GPOH@O ,

,, GPOH@O KIII@I ,

PO

T+( ;*4'( 3#>&+&'* &4 +76#$* 3& #4#6#+'& 5#$ *<+& %4(""#@ "& 57C %*"'$7&$# &4 3&(<$(66(?

I

M

,I

,M

GI

GM

KI

, G K O M N P H F ,I ,,

8BC-

A1(""& A(0D&*+#

8&/9$( ,:; 8&(<$(66( 3#44# >$#E7#+)# $#4('&;# 3& %4(""#

G

Page 4: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,----------------------------------------------------------------------------------

5- .&(/$(00( 2#11# <$#=9#+)# %9091('#

04 3&(<$(66( 3#44# >$#E7#+)# %7674('# "& %*"'$7&"%# %*6# &4 3&(<$(66( 3#44# >$#E7#+)# 3&%4(""#@ %*+ 4( 3&>>#$#+)( %A# "744U(""# 3#44# *$3&+('# "($(++* 5$#"#+'& & ;(4*$& 3&?

%*+ ;(4*$& 3#44( & #"&6( %4(""#=

04 ;(4*$# 3& %*$$&"5*+3#+'# (44( %4(""# 6(""&6( "($B "#65$# 7<7(4# ( ,=

,K

KF

MP

NN NH NF P, P, PG PK PO

I

,I

GI

KI

OI

MI

NI

PI

HI

, G K O M N P H F ,I ,,

8BC-

A1(""&

8&/9$( ,:5 8&(<$(66( 3#44# >$#E7#+)# %7674('#

E- A(1%*1* 2#& >(1*$& %#+'$(1& # 2#& 0*0#+'& %(0D&*+($&

V#3&(? $(55$#"#+'( &4 ;(4*$# &+'*$+* (4 E7(4# "& (33#+"(+* & 3('&=

V#3&(+(? $(55$#"#+'( &4 ;(4*$# (;#+'# 5*"&)&*+# %#+'$(4# +#44( "#$&# *$3&+('(=

.%($'* E7(3$('&%* 6#3&*?

K

Page 5: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,----------------------------------------------------------------------------------

W"&66#'$&(? $(55$#"#+'( &4 <$(3* 3& ("&66#'$&( 3#4 <$(>&%* %A# $(55$#"#+'( 4( >7+)&*+# 3&3#+"&'B 3& 5$*X(X&4&'B 3& 7+( 3&"'$&X7)&*+#= T+ &+3&%# 3& ("&66#'$&( 6*4'* 3&>>7"* 6*4'*3&>>7"* D %*"'&'7&'* 3(4 $(55*$'* '$( &4 6*6#+'* 3#4 '#$)* *$3&+# # &4 %7X* 3#44* "%($'*E7(3$('&%* 6#3&* 3#44( 3&"'$&X7)&*+#=

W55&(''&6#+'*? 3#"%$&;# 4U(%7'#))( * 4( 5&(''#))( 3#44( 3&"'$&X7)&*+#=

.!/012! G

.& 3&(<$(66&+* 4# >7+)&*+& 3& 3#+"&'B 3& 5$*X(X&4&'B 5#$ 4# "#<7#+'& 3&"'$&X7)&*+&?

(Y .*;$(55*$$# 4# %7$;# $#4('&;# (3 7+( 3&"'$&X7)&*+# +*$6(4# %*+ 6#3&( G # 3#;&()&*+#"'(+3($3 ,@ # (3 7+( 3&"'$&X7)&*+# +*$6(4# %*+ 6#3&( G # 3#;&()&*+# "'(+3($3 G?

J( 3&"'$&X7)&*+# +*$6(4# ;&#+# (+%A# 3#''( 3&"'$&X7)&*+# 3& Z(7""@ # 4( "7( 3#+"&'B 3&5$*X(X&4&'B D 3#>&+&'( 3(44( $#4()&*+#?

3&"'$&X7)&*+#= J( >7+)&*+# 3& 3#+"&'B 3& 5$*X(X&4&'B D $(55$#"#+'('( 3( 7+( %7$;( "&66#'$&%(

5[\Y 5$#

6#3&(=

8&/9$( ,:E 8&"'$&X7)&*+# +*$6(4#

8*;# "*+*@ $&"5#''&;(6#+'#@ 4( 6#3&( # 4* "%($'* E7(3$('&%* 6#3&* 3#44(

$&"5#''* (44( 6#3&(@ 3('* %A# +#44( >*$674( 4( 3&>>#$#+)( %*65($# (4 E7(3$('*=]7&+3& 4( 6#3&(+( %*&+%&3# %*+ 4( 6#3&(= 0+*4'$# 4( >7+)&*+# "#+'( 7+ 6(""&6* 5#$

^ 4( 3&"'$&X7)&*+# +*$6(4# D E7&+3& 7+&6*3(4# # (+%A# 4( 6*3( %*&+%&3# %*+ 4(

I

I@IM

I@,

I@,M

I@G

I@GM

I@K

I@KM

I@O

I@OM

GO GG GI ,H ,N ,O ,G ,I H N O G I G O N H ,I ,G ,O ,N ,H GI

DBC-

C

3&"'$=2*$6(4#@ 3#;=_ ,

3&"'$=2*$6(4#@ 3#;=_ G

O

Page 6: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,----------------------------------------------------------------------------------

XY .*;$(55*$$# 4# %7$;# $# 4*< +*$6(4# %*+ 6#3&( G #

J( 3&"'$&X7)&*+# 4*<+*$6(4# D %($(''#$&))('( 3(4 >(''* %A# ( "#<7&$# 4( 4#<<# +*$6(4# +*+ D 4(

4('&;# (3 7+( 3&"'$&X7)&*+#3#;&()&*+# "'(+3($3 ,@ # (3 7+( 3&"'$&X7)&*+# 4*< +*$6(4# %*+ 6#3&( G # 3#;&()&*+#"'(+3($3 G?

;($&(X&4# *$&<&+($&( \ 6( &4 "7* 4*<($&'6*`a _ 4*<[\Yb= Q*&%Ac &4 4*<($&'6* D 7+( >7+)&*+# %A#%$#"%# "#65$# (4 %$#"%#$# 3#44U($<*6#+'*@ "& $&%(;( 4U#"5$#""&*+# 5#$ 4( 3#+"&'B 3&5$*X(X&4&'B?

J( 3&"'$&X7)&*+# 3#44# \ D 4&6&'('( &+>#$&* 6#+'# # A( %*6# 4&6&'# )#$*= Q#$ E7#"'* 6*'&;* D &44&6&'('(

8&/9$( ,:F 8&"'$&X7)&*+# J*<+*$6(4#

%Y .*;$(55*$$# 4# %7$;# $#4('&;# (3 7+( 3&"'$&X7)&*+# 3& Z76X#4 %*+ 6#3&( G #

J( 3&"'$&X7)&*+# 3& Z76X#4 "& 57C $(55$#"#+'($#@ &+3&5#+3#+'#6#+'# 3(44( >7+)&*+# 3&5$*X(X&4&'B Q[\Y 3#44( ;($&(X&4# *$&<&+($&(@ 57$%Ac E7#"'( "&( 3& '&5* #"5*+#+)&(4#@ # %*+(55$*""&6()&*+# '(+'* 6&<4&*$# E7(+'* 5&d <$(+3# D 2 [+76#$* 3& #4#6#+'& 3#4 %(65&*+#Y=

$"75#$&*$6#+'#@ +*+ D "&66#'$&%( # 6#3&(@ 6#3&(+( # 6*3( "*+* 3&;#$"# '$( 4*$*= ]7#"'#3&"7<7(<4&(+)# "*+* '(+'* 5&d 6($%('# E7(+'* 5&d <$(+3# D 4* "%($'* E7(3$('&%* 6#3&*= ]7&+3& 4(3&"'$&X7)&*+# 4*<+*$6(4# D '(+'* 5&d ("&66#'$&%( E7(+'* 5&d D (44($<('( 4( 3&"'$&X7)&*+# 3#4 "7*4*<($&'6*=

I

I@IM

I@,

I@,M

I@G

I@GM

I@K

I@KM

I@O

I@OM

I@M

M K , , K M P F ,, ,K ,M ,P ,F G, GK

DBC- 3&"'$= J*<+*$6@ 3#;_,

3&"'$= J*<+*$6@ 3#;_G

3#;&()&*+# "'(+3($3 ,@ # (3 7+( 3&"'$&X7)&*+# 3& Z76X#4 %*+ 6#3&( G # 3#;&()&*+#"'(+3($3 G?

M

Page 7: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,----------------------------------------------------------------------------------

0+'$*37%#+3* 7+( ;($&(X&4# $&3*''( 3#4 '&5* @ "& 5*""*+* "%$&;#$# 4# #"5$#""&*+&3#44( >7+)&*+# 3& 5$*X(X&4&'B # 3& 3#+"&'B 3& 5$*X(X&4&'B?

( 6#3&( # 4* "%($'* E7(3$('&%* 6#3&* "*+* >*$+&'& 3(44# $#4()&*+&?J

( E7#"'# $#4()&*+& "& $&%(;(+* E7#44# %A# #"5$&6*+* # 5($(6#'$& # 7 &+ >7+)&*+# 3#44(6#3&( e[\Y # 3#44* "%($'* E7(3$('&%* 6#3&*8

[\Y?

04 5($(6#'$* @ %A# D &+;#$"(6#+'# 5$*5*$)&*+(4# (44* "%($'* E7(3$('&%* 6#3&* [\Y@*+'$*44( 4( >*$6( 3#4 <$(>&%* %A# $(55$#"#+'( 4( >7+)&*+# 3& 3#+"&'B 3& 5$*X(X&4&'B^ E7(+'*5&d D <$(+3#@ '(+'* 5&d D 4( 3&"'$&X7)&*+#=;#%# &4 5($(6#'$* 7 %*+'$*44( 4( 5*"&)&*+# 3#4 <$(>&%*? (76#+'($# &4 ;(4*$# 3& 7 #E7&;(4# (

8&/9$( ,:G 8&"'$&X7)&*+# 3& Z76X#4

%(33#+"('(

0+>($ "%*$$#$# &4 <$(>&%* ;#$"* 3#"'$( "#+)( 3#>*$6($4* 47+<* 4U(""# 3#44# ("%&""#=

I

I@IM

I@,

I@,M

I@G

I@GM

I@K

I@KM

I@OM

I@O

GI ,H ,N ,O ,G ,I H N O G I G O N H ,I ,G ,O ,N ,H GI GG GO

DBC-

N

Page 8: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,----------------------------------------------------------------------------------

P

3Y .*;$(55*$$# 4# %7$;# $#4('&;# (3 7+( 3&"'$&X7)&*+# +*$6(4#@ 7+( 4*< +*$6(4# #3 7+(Z76X#4 %*+ 6#3&( , # 3#;&()&*+# "'(+3($3 ,?

8&/9$( ,:H .*;$(55*"&)&*+# 3#44# '$# 3&"'$&X7)&*+& # %*+>$*+'*

I

I@IM

I@,

I@,M

I@G

I@GM

I@K

I@KM

I@O

I@OM

I@M

M O K G , I , G K O M N P H F ,I

DBC-

C

3&"'$= 2*$6(4#

3&"'$= J*<+*$6

3&"'$= Z76X#4

Page 9: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

!"#$%&'()&*+# ,!"!##!$%&#' "( )&! *%+(% "( $!**($( !&&)( "%,,% -'+#!#% !,

.',$' "( -(%&! ! "(/%+*% "(*#+(0)1('&( "( -+'0!0(,(#2

!"#$# %&''( $)&*&+,& &*&)"-,(.-#+& / 01&''# %- %&,&)2-+()& -' 3('#)& %&''( $#),(,( %-

$)#4&,,# %- 1+ 5-12& ( $(),-)& %( 1+( *&)-& %- %(,- %- 2-*1)( %&- 2(**-2- (++1- %- $#),(,(6

(,,)(3&)*# '( *,-2( %- $()(2&,)- )&'(,-3- ( %-3&)*& %-*,)-71.-#+- %- $)#7(7-'-,8 & '& +&"&**()-&

3&)-5-"9& %- (%(,,(2&+,#: ; %(,- %- $(),&+.( $&) '<(+('-*- *#+# $)&*&+,(,- -+ ,(7&''( =:=:

-(.#//( 010>(**-2- (++1- %- $#),(,( ?#)( @(',&( ( A(3(4+(*"#:

2++*3*$'('( 4(5

6478"9=BCD CEFD6D=BC==BCC=BCG=BCH=BCI=BCE=BCF=BCJ=BCB IFD6D=BGD HBC6D=BG= HFJ6D=BGC FBF6D=BGG HEH6D=BGH FJI6D=BGI FHH6D=BGE FHE6D=BGF B=I6D=BGJ =DFE6D=BGB EFB6D=BHD IBJ6D=BH= EBB6D=BHC F=I6D=BHG HHB6D=BHH ==CI6D=BHI =DID6D=BHE F=D6D=BHF =DFD6D=BHJ =BID6D=BHB EEI6D

2++*3*$'('( 4(5

6478"9=BID GCG6D=BI= JED6D=BIC GID6D=BIG IED6D=BIH =C=D6D=BII IBI6D=BIE BJD6D=BIF =G=D6D=BIJ EBD6D=BIB HBJ6D=BED JEI6D=BE= EII6D=BEC BDD6D=BEG E==6D=BEH FFI6D=BEI FID6D=BEE IBG6D=BEF CFI6D=BEJ JFI6D=BEB EJJ6D=BFD H=B6D=BF= HDD6D=BFC EHD6D=BFG JC=6D=BFH I=H6D=BFI IEH6D=BFE FEI6D=BFF =EHE6D=BFJ =J=D6D=BFB BBG6D

2++*3*$'('( 4(5

6478"9=BJD HHC6D=BJ= ==GB6D=BJC FH=6D=BJG ECC6D=BJH GCJ6D=BJI IFD6D=BJE HC=6D=BJF BII6D=BJJ =DHE6D=BJB CGC6D=BBD CBJ6D=BB= EIF6D=BBC FEI6D=BBG CGDD6D=BBH =GDD6D=BBI FCB6D=BBE EJ=6D=BBF FGI6D=BBJ IFE6D=BBB JIC6DCDDD GDDD6DCDD=CDDC =DDD6D

J

Page 10: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

; 3('#)- %- 2&%-( & %- *"(),# 01(%)(,-"# 2&%-# )&'(,-3- (' "(2$-#+& $)&*# -+ &*(2&6 1,-'- $&) '&

*1""&**-3& 5(*- %- )($$)&*&+,(.-#+& -+ "(),( $)#7(7-'-*,-"( & %- *,-2( %&- $()(2&,)- *#+#

: ;7<=>< 478"

: <?@=<@ 478"

0A B(CC$#"#+'()&*+# D#& D('& "E %($'( C$*.(.&/&"'&%( +*$4(/#= /*F +*$4(/# # D& GE4.#/

;+%-3-%1()& '( '&44& %- %-*,)-71.-#+& %- $)#7(7-'-,8 "9& 2&4'-# *- (%(,,( (% 1+ %(,#

"(2$-#+& %- %(,- *-4+-5-"( -+%-3-%1()&6 ,)( '& ,(+,& '&44- ,&#)-"9& 01&''( -' "1- (+%(2&+,# *-

(33-"-+( 2(44-#)2&+,& (''( 5)&01&+.( &2$-)-"( %&' "(2$-#+&:

K#,( '( %-*,)-71.-#+& &2$-)-"( & '( '&44& ,&#)-"( / $#**-7-'& &55&+,1()& 1+ "#+5)#+,# ,)( '&

%1& "1)3&6 (+"#) $)-2( %- *,-2()& - $()(2&,)- %&''( %-*,)-71.-#+&6 )-$#),(+%#'& *1 1+# *,&**#

%-(4)(22(: L&) )&+%&)& $-M &55-"("& (''# *"#$# 01&*,# "#+5)#+,#6 -+3&"& %- 1,-'-..()& 1+

%-(4)(22( "(),&*-(+# +#)2('&6 3&+4#+# 1,-'-..(,& '& "#*-%%&,,& %($'# .$*/(/&0&"'&%1#: A('-

%-(4)(22- *#+# #$$#),1+(2&+,& %&5#)2(,- $#+&+%# *1''<(**& %&''& (*"-**& - 3('#)- %&''(

3()-(7-'& "(*1('& N O-+ 01&*,# "(*# - 2(**-2- (++1- %- $#),(,(P #)%-+(,- -+ *&+*# ")&*"&+,&

2&+,)& *1''<(**& %&''& #)%-+(,& - 3('#)- %- $)#7(7-'-,8 LON QP # LON QP6 -' $&)-#%# %- )-,#)+# # -'

3('#)& %&''( 3()-(7-'& )-%#,,( 26 %&5-+-,( $&) '( %-*,)-71.-#+& +#)2('& "#2&R

)()(

xxx

u OC:=P

( "(1*( %&''( '-+&()-,8 %&''( )&'(.-#+& ,)( 3 &% 2 '( )($$)&*&+,(.-#+& -+ "(),( $)#7(7-'-*,-"( %&'

'&4(2& )-*1',( &**&)& 1+( )&,,(:

!& -' ,-$# %- %-*,)-71.-#+& "#+*-%&)(,# )-*1',( (%(,,# ( )($$)&*&+,()& 1+( "&),( *&)-& %-

#**&)3(.-#+-6 01&*,&6 *& )($$)&*&+,(,& #$$#),1+(2&+,& -+ "(),( $)#7(7-'-*,-"(6 %#3)(++#

%-*$#)*- ($$)#**-2(,-3(2&+,& -+,#)+# (% 1+( )&,,(: A('& #$&)(.-#+& / 2#',# 1,-'& $&)

&*"'1%&)& &3&+,1('2&+,& ( $)-#)- 1+( %(,( %-*,)-71.-#+& $)-2( %- &55&,,1()+& '( *,-2( %&-

$()(2&,)-:

L&) )-$#),()& 1+ $1+,# *1''( "(),( $)#7(7-'-*,-"(6 / +&"&**()-# "#+#*"&)& %- &**# -' 3('#)& 3

& '( $)#7(7-'-,8 456 37 # 456 378 !& - $()(2&,)- %&''( %-*,)-71.-#+& +#+ *#+# *,(,- (+"#)(

%&,&)2-+(,-6 +#+ / $#**-7-'& "('"#'()& '( $)#7(7-'-,8 (,,)(3&)*# '& 5#)21'& "#+*1&,&: K&''&

"(),& $)#7(7-'-*,-"9& 3-&+& 01-+%- 1,-'-..(,( 1+<($$)#**-2(.-#+& %&''( $)#7(7-'-,8 %- +#+

*1$&)(2&+,#6 %&,,( .0*''&+9 .*"&'&*+: S<($$)#**-2(.-#+& "#21+&2&+,& 1,-'-..(,( $&) '(

%&5-+-.-#+& %&''( .0*''&+9 .*"&'&*+ /

1Nm

PP OC:CP

B

Page 11: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

%#3& : / '( $#*-.-#+& %&' %(,# +&''( *&)-& #)%-+(,( -+ *&+*# ")&*"&+,& & K '( +12&)#*-,8 %&'

"(2$-#+&: ?#$# (3&) )-$#),(,# - 3('#)- *1''( "(),( $)#7(7-'-*,-"(6 &% (3&)& (""&),(,# "9& *-

(%%&+*(+# -+,#)+# (% 1+( )&,,(6 / $#**-7-'&R

1,-'-..()& %-)&,,(2&+,& -' %-(4)(22( $&) -%&+,-5-"()& '( )&,,( "9& 2&4'-# )&4#'()-..( - 3('#)-

O(% &*&2$-# ,)(2-,& -' 2&,#%# %&- 2-+-2- 01(%)(,-PT

$)#"&%&)& -+ 2#%# (+('-,-"# (''( %&,&)2-+(.-#+& %&- $()(2&,)- & 01-+%- )-$#),()& '( )&,,(

)-*1',(+,& *1' 4)(5-"# (' 5-+& %- 3('1,()+& '( "($("-,8 %&*")-,,-3(6 &% / -' 2&,#%# "9& / *,(,#

$&)*&41-,# -+ 01&*,( &*&)"-,(.-#+&:

S( 3()-(7-'& )-%#,,( $&) '( %-*,)-71.-#+& +#)2('& / *,(,( )-"(3(,( 2&%-(+,& '( 51+.-#+&

HIBJKHLMA %- UQ"&' ($$'-"(,( (''( .0*''&+9 .*"&'&*+2&+,)& $&) '( V127&' *- 9( "9&

))ln(ln( PPu OC:GP

S( "(),( $)#7(7-'-*,-"( '#4 +#)2('& *- #,,-&+& (4&3#'2&+,& %-(4)(22(+%# - '#4()-,2- %&''&

QO-P: ; 3('#)- %&''& .0*''&+9 .*"&'&*+ & %&''& 2 *#+# %-(4)(22(,- +&''( ,(7&''( C:C:

S<(''-+&(2&+,# %&- $1+,- 3&)-5-"(7-'& +&''& 5-41)& C:=6 C:C & C:G +#+ *&27)( $)&3-'&4-()&

1+( %-*,)-71.-#+& )-*$&,,# (% 1+<(',)(: !- &3-%&+.-( -+ #4+- "(*# 1+# *"#*,(2&+,#

%(''<(+%(2&+,# '-+&()& $&) 3('#)- (',- %- $#),(,(R *- -+%-3-%1(+# -+5(,,- 1+( "#2$#+&+&,& %-

7(*& ( "1- *- *#22( 1+( "#2$#+&+,& *,)(#)%-+()-( %&- 2(**-2- (++1('- %- $#),(,(:

C6I

C6D

=6I

=6D

D6I

D6D

D6I

=6D

=6I

C6D

C6I

D IDD =DDD =IDD CDDD CIDD GDDD GIDD

QO-P W2GX*Y

1

N&FE$( ,10 Z(),( $)#7(7-'-*,-"( K#)2('&:

=D

Page 12: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

C6I

C6D

=6I

=6D

D6I

D6D

D6I

=6D

=6I

C6D

C6I

=DD =DDD =DDDD

QO-P W2GX*Y

1

N&FE$( ,1, Z(),( $)#7(7-'-*,-"( S#4 +#)2('&:

C6D

=6D

D6D

=6D

C6D

G6D

H6D

I6D

D IDD =DDD =IDD CDDD CIDD GDDD GIDD

QO-P W2GX*Y

1

N&FE$( ,17 Z(),( $)#7(7-'-*,-"( %- V127&':

==

Page 13: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

-(.#//( ,1, Z#*,)1.-#+& "(),& $)#7(7-'-*,-"9& K#)2('&6 S#4 +#)2('& & %- V127&':

5M&A 4 33E

MH*$4(/#AE

MGE4.#/A

CGC6D = D6D=GGG C6C=EGE =6HECEF

CFI6D C D6DCEEF =6BGCC= =6CJFEF

CBJ6D G D6DHDDD =6FIDEB =6=EBDG

GCG6D H D6DIGGG =6E=GGE =6DFIH=

GCJ6D I D6DEEEF =6ID=DB D6BBECG

GID6D E D6DJDDD =6HDIDF D6BCEIG

HDD6D F D6DBGGG =6GCDID D6JEGIE

H=B6D J D6=DEEF =6CHHHI D6JDIED

HC=6D B D6=CDDD =6=FHBB D6FI=IH

HHC6D =D D6=GGGG =6==DFF D6FDDIF

HHB6D == D6=HEEF =6DIDJH D6EIC==

HEH6D =C D6=EDDD D6BBHHE D6EDIFG

HFJ6D =G D6=FGGG D6BH=DF D6IE=DF

HBC6D =H D6=JEEF D6JBDCI D6I=FJE

HBJ6D =I D6CDDDD D6JH=EC D6HFIJJ

I=H6D =E D6C=GGG D6FBHB= D6HGHBE

IED6D =F D6CCEEF D6FHBJF D6GBHBG

IEH6D =J D6CHDDD D6FDEGD D6GIIEE

IEF6D =B D6CIGGG D6EEHDH D6G=FDG

IFD6D CD D6CEEEF D6ECCBG D6CFJBE

IFD6D C= D6CJDDD D6IJCJH D6CH=GI

IFE6D CC D6CBGGG D6IHGEF D6CDH=C

IBG6D CG D6GDEEF D6IDIGC D6=EFCD

IBI6D CH D6GCDDD D6HEFFD D6=GDIG

IBJ6D CI D6GGGGG D6HGDFG D6DBHDI

E==6D CE D6GHEEF D6GBHGH D6DIFEB

ECC6D CF D6GEDDD D6GIJHE D6DC=HC

EHD6D CJ D6GFGGG D6GCGDH D6D=HJG

EII6D CB D6GJEEF D6CJJDC D6DI=DB

EEI6D GD D6HDDDD D6CIGGI D6DJFHC

EFB6D G= D6H=GGG D6C=JBJ D6=CGJE

EJ=6D GC D6HCEEF D6=JHJF D6=EDHE

EJJ6D GG D6HHDDD D6=IDBF D6=BFCE

EBD6D GH D6HIGGG D6==FCH D6CGHGD

EBB6D GI D6HEEEF D6DJGEI D6CF=EC

F=D6D GE D6HJDDD D6DID=I D6GDBCB

F=I6D GF D6HBGGG D6D=EF= D6GHFGG

FCB6D GJ D6IDEEF D6D=EF= D6GJIJ=

FGI6D GB D6ICDDD D6DID=I D6HCHFE

FH=6D HD D6IGGGG D6DJGEI D6HEHCI

FHH6D H= D6IHEEF D6==FCH D6IDHGC

FHE6D HC D6IEDDD D6=IDBF D6IHIDH

5M&A 4 33E

MH*$4(/#AE

MGE4.#/A

FID6D HG D6IFGGG D6=JHJF D6IJEHF

FEI6D HH D6IJEEF D6C=JBJ D6ECJEF

FEI6D HI D6EDDDD D6CIGGI D6EF=FG

FFI6D HE D6E=GGG D6CJJDC D6F=IF=

FJI6D HF D6ECEEF D6GCGDH D6FEDFD

FBF6D HJ D6EHDDD D6GIJHE D6JDEFB

JC=6D HB D6EIGGG D6GBHGH D6JIH=D

JIC6D ID D6EEEEF D6HGDFG D6BDCFC

JED6D I= D6EJDDD D6HEFFD D6BICFB

JEI6D IC D6EBGGG D6IDIGC =6DDHHI

JFI6D IG D6FDEEF D6IHGEF =6DIFJF

BDD6D IH D6FCDDD D6IJCJH =6==GC=

B=I6D II D6FGGGG D6ECCBG =6=FDEJ

BII6D IE D6FHEEF D6EEHDH =6CGDIG

BJD6D IF D6FEDDD D6FDEGD =6CBGDG

BBG6D IJ D6FFGGG D6FHBJF =6GIJID

=DDD6D IB D6FJEEF D6FBHB= =6HCFGC

=DHE6D ED D6JDDDD D6JH=EC =6HBBBH

=DID6D E= D6J=GGG D6JBDCI =6IFEBD

=DFD6D EC D6JCEEF D6BH=DF =6EIJJF

=DFE6D EG D6JHDDD D6BBHHE =6FHEEF

==CI6D EH D6JIGGG =6DIDJH =6JH=GH

==GB6D EI D6JEEEF =6==DFF =6BHHC=

=C=D6D EE D6JJDDD =6=FHBB C6DIFDG

=GDD6D EF D6JBGGG =6CHHHI C6=JC=J

=G=D6D EJ D6BDEEF =6GCDID C6GCCBB

=EHE6D EB D6BCDDD =6HDIDF C6HJHGG

=J=D6D FD D6BGGGG =6ID=DB C6EFGFI

=BID6D F= D6BHEEF =6E=GGE C6BDGB=

CGDD6D FC D6BEDDD =6FIDEB G6=BJIG

CEFD6D FG D6BFGGG =6BGCC= G6E=DJE

GDDD6D FH D6BJEEF C6C=EGE H6G=DFJ

=C

Page 14: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

,A O'&4( D#& C($(4#'$& # $(CC$#"#+'()&*+# "E %($'( C$*.(.&/&"'&%( D#//# D&"'$&.E)&*+& (

C($(4#'$& "'&4('&

[+( 3#',( 3&)-5-"(,( '<(,,&+%-7-'-,8 $)&'-2-+()& %- 1+( %(,( %-*,)-71.-#+& 2&%-(+,&

'<#**&)3(.-#+& %&''( )&'(,-3( "(),( $)#7(7-'-*,-"( / +&"&**()-# $)#"&%&)& (''( *,-2( %&-

$()(2&,)-6 '( 01('& / *,(,( &*&41-,( *1''& %-*,)-71.-#+- ( %1& $()(2&,)- $)&"&%&+,&2&+,&

(+('-..(,& & *1''( VU\ *-( 2&%-(+,& -' 2&,#%# %&- 2#2&+,- *-( 01&''# %&4'- S 2#2&+,-:

;#'*<* <#& :*:#+'&

;' 2&,#%# %&- 2#2&+,- "#+*-*,& +&''<(,,)-71-)& (' 2#2&+,# %&''( $#$#'(.-#+&

)($$)&*&+,(,( %( 1+( %&,&)2-+(,( %-*,)-71.-#+& -' 2#2&+,# )&'(,-3# (' "(2$-#+& &*,)(,,#

%(''( *,&**( $#$#'(.-#+&: ?- *&41-,# *- 2#*,)(+# '& )&'(.-#+- $&) '& %-*,)-71.-#+- ( %1&

$()(2&,)-

K#)2('&2

1

S#4 +#)2('&

2

2

2

22

1

1ln

2ln

V127&' 6

5772,0

2

21

L&) 01(+,# )-41()%( '( %-*,)-71.-#+& VU\ +#+ &*-*,& 1+( *#'1.-#+& -+ 5#)2( "9-1*( 2(

7-*#4+( $)#"&%&)& -+ 2(+-&)( -,&)(,-3( 1,-'-..(+%# '& *&41&+,- )&'(.-#+-

23

32

3

33

3333

)1()21(

)1(2)21()1(3)31()(sign

)1()21( 33

223

2

)1(1 33

21

=G

Page 15: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

"9& -2$'&2&+,(,& -+ UQ"&' 2&%-(+,& )-5&)-2&+,- "-)"#'()- & -2$#+&+%# 1+# *"(),# 2(**-2# 5)( - 3('#)-

%- %1& -,&)(.-#+- *1""&**-3& 5#)+-*"#+# -' 3('#)- %- =6 C6 G:

;#'*<* <#90& = :*:#+'&

V'- S 2#2&+,- *#+# *,-2(,#)- '-+&()- %&- 2#2&+,- %- 1+ "(2$-#+&: ;+ $(),-"#'()& (**12#+# '(

*&41&+,- &*$)&**-#+-6 ())&*,(+%#*- (' 2#2&+,# %- ,&).# #)%-+&

)(1 xL

11212 LBN

L

11231616 LBN

BN

L

%#3& @= & @C *#+# )-*$&,,-3(2&+,& '& 01(+,-,8

)(1

1 )1()1(

i

N

i

xNi

B

)(1

1 )1)(1()2)(1(

i

N

i

xNNii

B

'& QO-P *#+# - %(,- "(2$-#+()- #)%-+(,- -+ *&+*# ")&*"&+,& &% - / '<-+%-"& %- $)#4)&**-#+& +&''(

*&)-& #)%-+(,(T +&' "(*# %&''( %-*,)-71.-#+& '#4 +#)2('& (''& QO-P 3&+4#+# *#*,-,1-,- - '+OQO-PP: ]

01&*,# $1+,# *- &41(4'-(+# 4'- *,-2(,#)- '-+&()- (- 2#2&+,- %&''( %-*,)171.-#+& $&) $#,&)

#,,&+&)& -+5-+& - $()(2&,)- (,,)(3&)*# '& )&'(.-#+-

K#)2('&22

11

L

L

S#4 +#)2('&22

11

L

L

V127&'

2ln

5772,0

22

211

LL

=H

Page 16: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

]+"9& +&' 2&,#%# %&4'- S 2#2&+,- $&) '( %-*,)-71.-#+& VU\ +#+ *- $&)3-&+& (% 1+(

*#'1.-#+& -+ 5#)2( "9-1*(T '& )&'(.-#+- "9& $&)2&,,#+# %- )-"(3()& - ,)& $()(2&,)- *#+#

3

3211

)1(1L

3

322

)1()21( 3

L

23 9554.28590.7 cc

3ln2ln

3

2

2

3

LL

c

)1()21( 3

322 3

L

-(.#//( ,17 *,-2(,#)- '-+&()- & $()(2&,)- *,-2(,- $&) '& 01(,,)# %-*,)-71.-#+- "#+ -' 2&,#%# S 2#2&+,-:

H*$4(/#S= JGH6FH = JGH6FHSC CGH6BH C H=E6HC

P*F +*$4(/#S= E6ED = E6EDSC D6CF C D6HJ

GE4.#/S= JGH6FH = EGB6=DSC CGH6BH C GGJ6BI

G!L

S= JGH6FH = EDH6GFSC CGH6BH C CHE6GISG JG6CH G D6CEB" D6DGI

; )-*1',(,- 5-+('- %&' $)#"&**# %- *,-2( %&- $()(2&,)- *#+# $)&*&+,(,- +&''( ,(7&''( C:H $&) 1+

"#+5)#+,# ,)( - 3('#)- #,,&+1,- *&"#+%# - %1& 2&,#%- %-55&)&+,-:

=I

Page 17: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

-(.#//( ,1< A(7&''( )-(**1+,-3( $()(2&,)- *,-2(,- *&"#+%# - %1& 2&,#%- $&) '& 01(,,)# %-*,)-71.-#+-:

J*4#+'& P 4*4#+'&

H*$4(/# = JGH6FH JGH6FHC HBE6HE H=E6HC

P*F +*$4(/# = E6IJ E6EDC D6II D6HJ

GE4.#/ = E==6G= EGB6=DC GJF6DB GGJ6BI

G!L= EDE6BH EDH6GFC G==6J= CHE6GIG D6=GI D6CEB

S& )&,,& )&'(,-3& (- $()(2&,)- *,-2(,- $&) '& %-*,)-71.-#+- ( %1& $()(2&,)- *#+# *,(,& $#-

%-(4)(22(,& *1 1+# *,&**# 4)(5-"# -+*-&2& (- %(,- "(2$-#+()- -+ 2#%# %( (3&)& 1+

"#+5)#+,# 4)(5-"# ,)( (+%(2&+,# %&''( %-*,)-71.-#+& ,&#)-"( & - 3('#)- "9& *- *#+#

&55&,,-3(2&+,& )&4-*,)(,- O5-41)& C:H6 C:I6 C:EP: ?( 1+ $)-2# "#+5)#+,# 01('-,(,-3# *- $1^

+#,()& "#2& '( %-*,)-71.-#+& +#)2('& & %- V127&' +#+ )-&*"(+# (% (%(,,()*- &55-"("&2&+,&

(''( *&)-& %- %(,- "(2$-#+()- %- 2(**-2- (++1-R $&) 01&*,# 2#,-3# "- *- $1^ (,,&+%&)& "9& ,('-

%-*,)-71.-#+- %-55-"-'2&+,& *1$&)&)(++# &+,)(27- - ,&*, *,(,-*,-"- %- (%(,,(2&+,# ( "1-

3&))(++# *#,,#$#*,&6 *& +#+ +&**1+# %&- %1&:

G

C

=

D

=

C

G

H

I

E

D IDD =DDD =IDD CDDD CIDD GDDD GIDD

QO-P W2GX*Y

1 >#2&+,-

S 2#2&+,-

Z(2$-#+&

N&FE$( ,1< Z#+5)#+,# )&,,& ( $()(2&,)- *,-2(,- *1 "(),( $)#7(7-'-*,-"( K#)2('&:

=E

Page 18: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

G

C

=

D

=

C

G

H

=DD =DDD =DDDD

QO-P W2GX*Y

1

>#2&+,-

S 2#2&+,-

Z(2$-#+&

N&FE$( ,1Q Z#+5)#+,# )&,,& ( $()(2&,)- *,-2(,- *1 "(),( $)#7(7-'-*,-"( S#4 +#)2('&:

C

=

D

=

C

G

H

I

E

F

J

D IDD =DDD =IDD CDDD CIDD GDDD GIDD

QO-P W2GX*Y

1 >#2&+,-

S 2#2&+,-

Z(2$-#+&

N&FE$( ,1@ Z#+5)#+,# )&,,& ( $()(2&,)- *,-2(,- *1 "(),( $)#7(7-'-*,-"( %- V127&':

=F

Page 19: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

7A -#"' D& (D(''(4#+'* D#//# D&"'$&.E)&*+&

>#"' <& 4#($"*+ * <#0 ,

S<-$#,&*- _D %- $(),&+.( / #33-(2&+,&R `S( %-*,)-71.-#+& QQQQQQ *- (%(,,( &55-"("&2&+,& ('

"(2$-#+& %- %(,-a: ;' ,&*, %- L&()*#+ $(),& %(''( *1%%-3-*-#+& %&' "(2$-#+& -+ ?@,ABCD "'(**-

&01-$)#7(7-'- 21,1('2&+,& &*"'1%&+,-: b4+- -+,&)3(''# *()8 "()(,,&)-..(,# %( %1& 3('#)-

&*,)&2- 3&+E & 3"2. )-"(3(7-'- %(''<-+3&)*( %&''( %-*,)-71.-#+& %- $)#7(7-'-,8 "#+*-%&)(,(: !-

"('"#'( *1""&**-3(2&+,& '( 01(+,-,8

k

i i

ii

npnpn

1

22 )(

"#+

+& +12&)# %- %(,- "(2$-#+()- )-"(%&+,- +&''( "'(**& - &*-2(T

.& @ FG? $)#7(7-'-,8 %- "(%&)& +&''( "'(**& - &*-2(:

!- "#2$)&+%& "#2& -' ,&)2-+& (' +12&)(,#)& +& +.& *-( -+%-"& %&''<(55-+(2&+,# %&''(

%-*,)-71.-#+& "#+*-%&)(,( -+ 01(+,# / '# *"(),# ,)( - 3('#)- )&('2&+,& )-"(%&+,- +&''( "'(**& -

&*-2( & 01&''- (,,&*- (3&+%# "#+*-%&)(,# '( %&,&)2-+(,( %-*,)-71.-#+& %- $)#7(7-'-,8:

L&)"9/ '<-$#,&*- _D *-( (""&,,(7-'& %&3& &**&)& , H ,5F I J " F7C 3('#)& '-2-,& ,(71'(,# -+

51+.-#+& %&' '-3&''# %- *-4+-5-"(,-3-,8 6 %&' +12&)# %- "'(**- J@,+BCD & %&' +12&)# %- $()(2&,)-

" %&''( )&'(,-3( %-*,)-71.-#+& *#,,#$#*,( ( ,&*,T -+ $(),-"#'()& J " F / -' +12&)# %- 4)(%- %-

'-7&),8 %&''( %-*,)-71.-#+& %&' "9- 01(%)#: ;+ "(*# "#+,)()-#6 *& $&) -' '-3&''# %- *-4+-5-"(,-3-,8

5-**(,# )-*1',( , K ,5F I J " F7 '<-$#,&*- 3( )-4&,,(,(: ;' 3('#)& %- C '-2-,& / *,(,# )-"(3(,#

"(*# $&) "(*# 2&%-(+,& '( 51+.-#+& UQ"&' RSKKHLMC$*.(.&/&'TU D#FVW$#D**4A: K&''( ,(7&''(

C:I *#+# )-$#),(,- - )-*1',(,- $&) '& #,,# %-*,)-71.-#+- *#,,#$#*,& ( ,&*,:

-(.#//( ,1Q c-*1',(,- %&''( *#,,#$#*-.-#+& (' ,&*,- %- L&()*#+:

X&"'$&.E)&*+# , ,/&4

2%%#''(.&/&'Y3#($"*+

A*$:(0# :*:#+'& GF:=JB =I:IDF Kb=*9+*$:(0# :*:#+'& =D:FGD =I:IDF !;<L2:/#0 :*:#+'& =J:=EC =I:IDF KbL!M :*:#+'& =D:HGC =H:DEF !;<

A*$:(0# = :*:#+'& CE:=JB =I:IDF Kb=*9+*$:(0# = :*:#+'& J:BHE =I:IDF !;<L2:/#0 = :*:#+'& =D:FGD =I:IDF !;<L!M = :*:#+'& F:=EC =H:DEF !;<

=J

Page 20: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

>#"' <& N+<#$"*+ O($0&+9

;' ,&*, %- (%(,,(2&+,# %- ]+%&)*#+ ?()'-+4 / 7(*(,# *1' "#+5)#+,# ,)( '( %-*,)-71.-#+& %-

$)#7(7-'-,8 "#))-*$#+%&+,& (''< -$#,&*- _D & '( 51+.-#+& %- 5)&01&+.( "121'(,(: ;+ $(),-"#'()&

01&*,# ,-$# %- ,&*, 3('1,( '# *"#*,(2&+,# 2&%-# 01(%)(,-"# ,)( '( 51+.-#+& %- 5)&01&+.(

"121'(,( & '( %-*,)-71.-#+& -$#,-..(,( 3('-%( (,,)(3&)*# 1+( 51+.-#+& %- $&*# "9& $#),(6

)-*$&,,# (' ,&*, $)&*&+,(,# $)&"&%&+,&2&+,&6 $-M *&+*-7-'-,8 *1''( %-*")&$(+.( +&''& "#%&

%&''& %1& %-*,)-71.-#+-: S( 51+.-#+& %- $&*# *#$)( 2&+.-#+(,( / %&5-+-,( %(''( )&'(.-#+&

dxxpxPxPxPxF

Aallx

n )()(1)(

)()( 22

#$$1)&6 -+ (',&)+(,-3(6 $&) 1+ "('"#'# $-M (1,#2(,-"#

n

iii xPinxPi

nnA

1)()(

2 )(1ln)12()(ln)12(1

K&''( )&(',8 1+( 3#',( *,-2(,# -' 3('#)& %- ]C +#+ *- #$&)( 1+( 3('1,(.-#+& %-)&,,(2&+,& *1 %-

&**# 2( '( 3()-(7-'& 3-&+& ,)(*5#)2(,( -+ 1+<(',)( 3()-(7-'& %&5-+-,( "#2&R

851,02

116.00403.0

p

p

PA*& =:C . d N

,

p

P

p

P Ap

2.02.0116.00403.02851,0

*& =:C . d N,

"#+ .C .C . "#&55-"-&+,- %-3&)*- $&) #4+- %-*,)-71.-#+& & )-"(3(,- "#2& %( ,(7&''( :::

[+( 3#',( &55&,,1(,( '( ,)(*5#)2(.-#+& 3( 3&)-5-"(,# "9& -' 3('#)& %- *- (-+5&)-#)& (% 1+ =P;

"9&6 $&) -' '-3&''# %- *-4+-5-"(,-3-,8 )-"9-&*,# %&' Ie6 / $()- -+ 01&*,# "(*# ( D:HE=:

=B

Page 21: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

-(.#//( ,1@ c-*1',(,- %&''( *#,,#$#*-.-#+& (' ,&*,- %- L&()*#+:

X&"'$&.E)&*+# 2, 2%%#''(.&/&'Y 2 XA*$:(0# :*:#+'& H:JCI E:FEI Kb

=*9+*$:(0# :*:#+'& =:=DJ D:J=F KbL2:/#0 :*:#+'& C:CDE C:C=G KbL!M :*:#+'& D:JBG D6JE= Kb

A*$:(0# = :*:#+'& H:HGI E:D=E Kb=*9+*$:(0# = :*:#+'& D:EGC D:GHD !;<L2:/#0 = :*:#+'& =:H== =:=ED KbL!M = :*:#+'& D:IGH D:GFE !;<

S& 1+-"9& %-*,)-71.-#+- ( *1$&)()& -' ,&*, %- ]+%&)*#+ ?()'-+46 $&)(',)# 2#',# $-M )&*,)-,,-3#)-*$&,,# ( 01&''# %- L&()*#+6 *#+# '( '#4+#)2('& & '( VU\ *,-2(,& "#+ -' 2&,#%# %&4'- S2#2&+,-:

<A O'&4( D#//( C*$'('( D& C$*F#''*

L&) '( *,-2( %&''( $#),(,( %- $)#4&,,# *- $)&+%#+# -+ "#+*-%&)(.-#+& ,1,,& '& %-*,)-71.-#+-

"9& 9(++# $(**(,# ('2&+# 1+# %&- %1& ,&*, *,(,-*,-"- ( "1- *#+# *,(,& *#,,#$#*,&6 -' "9&

*-4+-5-"(6 3-*,( '( )&*,)-,,-3-,8 %&' ,&*, %- ]+%&)*#+6 ,1,,& '& %-*,)-71.-#+- "9& 9(++# $(**(,# -'

,&*, %- L&()*#+T $&) )-(**12&)& 01-+%-R S#4+#)2('& 2#2&+,- &% S 2#2&+,-6 V127&' S

>#2&+,-6 VU\ 2#2&+,- &% S 2#2&+,-: ;+ 01&*,# 2#%# #',)& (% &3-,()& &))#)- %- ,-$# ; %#3&

'<-$#,&*- _D 3-&+& (""&,,(,( (+"9& *& 5('*( *- 31#'& &*"'1%&)& &))#)- %- ,-$# ;; $&) "1- 1+<-$#,&*-

$1) &**&+%# 3&)( 3-&+& )-4&,,(,(:

S( 3('1,(.-#+& %- %&,,( $#),(,( / )-"9-&*,( $&) ,)& $&)-#%- %- )-,#)+# )&'(,-3- ( =D6 ID6 & =DD

(++- ( "1- "#))-*$#+%#+# )-*$&,,-3(2&+,& %&''& $)#7(7-'-,8 %- +#+ *1$&)(2&+,# $()- ( D:B6

D:BJ6 D:BB: ; 3('#)- 3&+4#+# )-"(3(,- 2&%-(+,& '( 51+.-#+& -+3&)*( %&''& "#))-*$#+%&+,-

%-*,)-71.-#+- "121'(,& -+ "1- 3-&+& -2$#*,# -' $&)-#%# %- )-,#)+# "#+*-%&)(,# -+ 5(*& %-

$)#4&,,#T - )-*1',(,- *#+# )-(**1+,- +&''( ,(7&''( C:F:

-(.#//( ,1> L#),(,& *,-2(,& $&) '& 3()-& %-*,)-71.-#+- (""&,,(,& %#$# '( *#,,#$#*-.-#+& (- ,&*,:

3*$'('# "'&4('# 6478"9

- 6T9P*F+*$4(/#4*4#+'&

P*F+*$4(/#P 4*4#+'&

GE4.#/P 4*4#+'&

G!L 4*4#+'&G!L

P 4*4#+'&=D =HIC =GIH =HDC =HCF =GEEID CCC= =BE= =BEC CC=D CGDI=DD CIJ= CCGI C=BJ CIBF CJHI

S( *"&',( %&' 3('#)& %- $)#4&,,# )&'(,-3# (% 1+ %&,&)2-+(,# $&)-#%# %- )-,#)+# $1^ "(%&)&

*1' 3('#)& 2(**-2# &*,)($#'(,# %(''& 3()-& %-*,)-71.-#+- #$$1)& *1''( 2&%-( %- &**-6 *"&',( "9&

-2$'-"( (,,&+,& (+('-*- %- "()(,,&)& ,&"+-"# &% &"#+#2-"# +&''( )&('-..(.-#+& %&''<#$&)( $&)

"1- '<(+('-*- %&''( $#),(,( %- $)#4&,,# / *,(,( &55&,,1(,(: Z#2& "- *- $#,&3( 5("-'2&+,&

CD

Page 22: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

C=

(,,&+%&)& $&) $&)-#%- %- )-,#)+# $-M &'&3(,- (12&+,( '# *"(),# ,)( - 3('#)- 2(**-2- #,,&+1,- &

'( 2&%-( ,)( '& 3()-& %-*,)-71.-#+-:

-(.#//( ,1; L#),(,& %- $)#4&,,# *,-2(,& -+ )&'(.-#+& (' $&)-#%# %- )-,#)+# "#+*-%&)(,#:

- 6T9 334(5 6478"9 33(Z 64

78"9=D =HIC =HDDID CGDI C=GC=DD CJHI CHB=

Page 23: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

!"#$%&'()&*+# ,!"#$%$ %"&&' ()"*+(+#',+$-" +-%+*"

"# $%&'(&( )*&&% +*),% * )*&&( -'%./( )*, +%--,+, %001, )*&&2%&/*33% ), 4,(55,% ,0 - (.*6 '(0- 7 "6 86 96 ":6 :; (.*6 .*5,-/.%/, )%& 4&1<,(5.%=( ), >(.,0(?

@*),%?

A'%./(?

A*'(0)( &* =(.+1&* )*-'.,//*6 B 4(--,C,&* '%&'(&%.* +*),% * -'%./( )*, +%--,+, %001,

)*&&D%&/*33% ), 4,(55,% 4*. (50, ,0/*.<%&&( (.%.,(6 '(+* -, 41E <*)*.* ,0 /%C*&&%#

-(.#//( ,01 $%&'(&( ), +*),% * -'%./(

12 ,2 32 142 452

6#7&( 899: 8F699 8G69; ;86GG H86I: 9J6F;

;%($'* ":6F" ":6G; ";6"8 "J68" :869J

:# $(0-,)*.%0)( /1//* &* )1.%/* -*4%.%/* &D10% )%&&D%&/.%6 * %44&,'%0)( %) (5010% 10

+*/()( ), ,0=*.*03% -/%/,-/,'%6 -, 41E '%&'(&%.* &D%&/*33% ), 4.(5*//( .*&%/,<% %&&D%&/*33%

'(0-,)*.%/%# K-%0)( ,& +()*&&( ), .*5.*--,(0*?

.- 7 ( -+

'(0 - / )1.%/% L(.*M.) 7 <%&(.* +*),( )*& +%--,+( %001( )*&&% 4.*',4,/%3,(0* ,0 - (.*

A, 41E -/,+%.* ( *) + /.%+,/* .*5.*--,(0* &,0*%.* -1, &(5%.,/+,#

::

Page 24: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

N 7 :I6;"OF6:;I"

"

"F

"FF

" "F "FF

+%--,+, %001,

<&=>$( ,01 P,%5.%++% )*, +%--,+, %001,

Q% '1.<% 'R* -, (//,*0* .%44.*-*0/% &% <%.,%C,&,/S )*&&D%&/*33% ), 4.*',4,/%3,(0* ,0 =103,(0*

)*&&% )1.%/%# T '(*==,',*0/, % *) 0 .%44.*-*0/%0( )*, '(*==,',*0/, *+4,.,', 'R* ),4*0)(0(

)%& /*+4( ), .,/(.0(#

-(.#//( ,04 .,*4,&(5( )*, <%&(., '%.//*.,33%0/, ,& ),%5.%++% )*, +%--,+, %001,

&+'#$%#''( :I6;" %

%*#??&%&#+'#(+=*/($#

F6:;I" 0

8# A/,+%.*6 /.%+,/* ,& +()*&&( 4.(C%C,&,-/,'( ), U1+C*&6 ,& =%//(.* ), '.*-',/% )*&&%

4.*',4,/%3,(0* +*),% LV>M ,0 =103,(0* )*& 4*.,()( ), .,/(.0(#

T& =%//(.* ), '.*-',/% V> 41E *--*.* '%&'(&%/( -*'(0)( &% =(.+1&%?

T& '(*==,',*0/* $WR) .%44.*-*0/% ,& '(*==,',*0/* ), <%.,%3,(0*6 'R* 0(0 ),4*0)*

+%.'%/%+*0/* )% )6 * 41E *--*.* (//*01/( +*),%0/* &% =(.+1&%?

K/,&,33%0)( &* =(.+1&* -(4.% )*-'.,//* -, 41E X1,0), '%&'(&%.* ,& <%&(.* ), V> %& <%.,%&.* )*&

4*,.()( ), .,/(.0(6 'R* ,0 X1*-/( '%-( <%.,% /.% H6 "F * HF %00,#

:8

Page 25: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

-(.#//( ,0, '%&'(&( ), V> %& <%.,%.* )*& 4*.,()( ), .,/(.0(

@- 12 ,2 32 142 452

A "6:HF 8J68;H ;G6F9G H;6G:I 9G6;:F JH6FGI

1B "6;H; ;;6HI: H;6G8; 9869;H GJ6;F8 IJ6I8J

AB "6IF: HJ688I G"69FJ J86:99 "F:6HG; ":I6;;F

;# P,%5.%++%.* -1& 4,%0( '(0 '((.),0%/* L.6 -M &* &*55, ), 4.(C%C,&,/S 4&1<,(+*/.,'%0'(..,-4(0)*0/, %) 10 4*.,()( ), .,/(.0( 4%., % 1 / 20 34 * 24 %00,#

T& 5.%=,'( B -/%/( '(-/.1,/( '%&'(&%0)( )(<* Y> B )%/( )%&&% =(.+1&%

4.*'*)*0/*#

F

:F

;F

9F

JF

"FF

":F

";F

" 8 H G I "" "8 "H "G "I :" :8

(/'#))(7&C$#%&C&'()&*+#

899:

'#9C* 8*$#:

H %00,

"F %00,

HF %00,

<&=>$( ,04 Z.(C%C,&,/S 4&1<,(+*/.,'%

Z*. .*%&,33%.* 10 5.%=,'( 4,[ 4.*',-(6 B -/%/( 0*'*--%.,( *-*51,.* ,& '%&'(&( ), 0(0 -(&(

4*. , /*+4, 4%., % "R6 8R6 9R6 ":R * :;R6 +% 4*. ,0/*.<%&&, ), 10D(.% )% " % :; (.*#

:;

Page 26: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

DEF<GEF-E DEF HI 6!-EJE KDIL;;HDEMN O!G IL ;EIL JPGL-L . Q , EG!

Z*. &% -/,+% )*, 4%.%+*/., )*&&% ),-/.,C13,(0* ), U1+C*& .*&%/,<% %, +%--,+, %001, ),

4.*',4,/%3,(0* L)1.%/% 8 (.*M '(0 ,& +*/()( )*, +(+*0/,6 C,-(50% '%&'(&%.* +*),% * -'%./(

)*&&% 4(4(&%3,(0* % ),-4(-,3,(0*#

A*'(0)( &* =(.+1&* 4.*'*)*0/*+*0/* 1/,&,33%/*6 -, B (//*01/( 10 <%&(.* ), +*),% * ), -'%./(

'(+* )% /%C*&&%?

-(.#//( ,05 $%&'(&( ), +*),% * -'%./(

6#7&( ;%($'*

8G698I:: ":6G8IG

K0% <(&/% /.(<%/, X1*-/, )1* <%&(.,6 -, 4.('*)* '(0 ,& '%&'(&( )*, 4%.%+*/., 4.(4., )*&&%

),-/.,C13,(0* ), U1+C*& -*'(0)( &* =(.+1&*?

$(0 , 4%.%+*/., * -, 4(--(0( '%&'(&%.* &* %&/*33* ), 4.*',4,/%3,(0* +*),* ,0 H6 "F6 HF

%00,6 '(0 &% =(.+1&% 'R* -, .,'%<% ,0<*./*0)( &D*X1%3,(0* )*&&% ),-/.,C13,(0* ), U1+C*&?

T <%&(., (//*01/, =%'*0)( X1*-/% (4*.%3,(0* -, 4(--(0( &*55*.* ,0 /%C*&&%?

-(.#//( ,0A $%&'(&( ), R)6/ %& <%.,%.* )*& 4*.,()( ), .,/(.0(

27N'

A ;96JF;JJI

1B H;6:HJI98

AB GF699;"I9

A* -, =% 10 '(0=.(0/( '(0 , <%&(., (//*01/, '(0 ,& +*/()( )*&&% 4.*',4,/%3,(0* ,0),'*6 -, 41E

(--*.<%.* 'R* ,0 X1*-/( '%-( , <%&(., -(0( 4,[ C%--, .,-4*//( %& +*/()( 1/,&,33%/(

4.*'*)*0/*+*0/*#

:H

Page 27: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

-(.#//( ,03 \,*4,&(5( )*, '%&'(&, %//.%<*.-( ,& +*/()( )*&&% 4.*',4,/%3,(0* ,0),'*

27N' 6#'*7* C$#%&C&'()&*+# &+7&%#

A ;96JF;JJI;; "6H;GJ98;J68H:GH"IG

1B H;6:HJI98;G H96::I8IFFH "6IGF;:G

AB GF699;"IHIH G86H9;9"JJ8 :6IFF;:8

!-!G6HFLRHEF! J!IIE H!-ESGL66L JH OGES!--E

(0 .,=*.,+*0/( %&&% '1.<% ), 4.(C%C,&,/S 4&1<,(+*/.,'% L$ZZM6 )*/*.+,0%/% '(0 ,& +*/()(

), 4.(5*//( )*& /,4( $R,'%5( -, (//,*0* '%&'(&%0)( 4*. 4.,+% '(-% &% '1.<% ),

<&=>$( ,0, T*/(5.%++% $R,'%5(

J

$

)*&&% 4.*',4,/%3,(0* ,0),'*6 4*. >7HF %00,6 -, )*/*.+,0, &( ,*/(5.%++% ), 4.(5*//( ]$R,'%5(^

'(0 4,''( '*0/.%&* 1/,&,33%0)( 10 ,0/*.<%&&( ), '%+4,(0%+*0/( ), 8F +,01/, *) 10 /*+4(

C%-* ), :; (.*#

Q( ,*/(5.%++%

4.(C%C,&,/S 4&1<,(+*/.,'% ,0 =103,(0* )*& /*+4(# Q( ,*/(5.%++% )*<* *--*.* '(0-,-/*0/* '(0

&% $$Z ,0 (50, 410/( * )*<* *--*.* '%.%//*.,33%/( )% 10 ,0/*.<%&&( +,0,+( 'R* -%.S &% C%-*

)*&&% '(-/.13,(0* )*& 5.%=,'(#

F

"F

:F

8F

;F

HF

9F

GF

JF

IF

"FF

F6H

"6H

:6H

86H

;6H

H6H

96H

G6H

J6H

I6H

"F6H

""6H

":6H

"86H

";6H

"H6H

"96H

"G6H

"J6H

"I6H

:F6H

:"6H

::6H

:86H

&899T2:

' 8*$#:

:9

Page 28: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

:G

Q( ,*/(5.%++% '(0 4,''( %& '*0 <%&(.* 4,[ %&/( %& '*0/.(6 * 4(,

<&=>$( ,05 T*/(5.%++% $R,'%5( '(0 4,''( %& '*0/.(

/.( -, (//,*0* +*//*0)( ,&

),-/.,C1*0)( , <%&(., )*'.*-'*0/, .,-4*//,<%+*0/* % -,0,-/.% * % )*-/.%#

F

"F

:F

8F

;F

HF

9F

GF

JF

IF

"FF

F6H

"6H

:6H

86H

;6H

H6H

96H

G6H

J6H

I6H

"F6H

""6H

":6H

"86H

";6H

"H6H

"96H

"G6H

"J6H

"I6H

:F6H

:"6H

::6H

:86H

&899T2:

' 8*$#:

Page 29: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

!"#$%&'()&*+# ,!"#$%&'(" )!$ *!"+&*&)$%&'(" $((,$ " -,')$ ". $($#&/& .& )!"(.

"# $%&'#()*#&% +) ',-.#%&# /+01#%2),*#$3) /*)')&,# -++4#&,)*&% ()+ 5-$#&% ()+ ")'#- -6%&,-&),,% 7%8

98 :),)*2#&-*); $%& #+ 2),%(% ()# 2#&#2# <0-(*-,#; # $%)==#$#)&,# ()++- *),,- (# *)>*)''#%&)$3) *-//*)')&,- +- *)+-.#%&) ,*- +- /*)$#/#,-.#%&) 2)(#- -&&0- ) +- <0%,- ()++- ',-.#%&)/+01#%2),*#$-8 ?-//*)')&,-*); #& 0& (#->*-22- $-*,)'#-&%; # /0&,# $%**#'/%&()&,# -# (-,#) +- *),,- ,*%1-,-8

@+ 2),%(% ()# 2#&#2# <0-(*-,# 1#)&) 0,#+#..-,% /)* +- ',#2- ()# /-*-2),*# ) $3)*-//*)')&,-&% *#'/),,#1-2)&,) +4#&,)*$),,- ) #+ $%)==#$#)&,) -&>%+-*) ()++- *),,- $3)#&,)*/%+- # (-,# ()++- /*)$#/#,-.#%&) #& =0&.#%&) ()++- <0%,-8:#->*-22-&(% <0#&(# # 1-+%*# (# /*)$#/#,-.#%&) 2)(#- -&&0- #& =0&.#%&) ()++4-+,)..-; )#&,)*/%+-&(% # /0&,# ()+ >*-=#$% $%'A $*)-,%; '# %,,#)&) 0&- *),,- (# )<0-.#%&) (-,- #&=#>0*-B

-&./$( ,01 @&,)*/%+-.#%&) ()++- /*)$#/#,-.#%&) 2)(#- -&&0- #& =0&.#%&) ()++4-+,)..-

:-+ >*-=#$% '# /%''%&% <0#&(# ',#2-*) # (0) /-*-2),*#; +)>>)&(%+# (#*),,-2)&,)(-++4)<0-.#%&) ()++- *),,- (# ,)&()&.-B

C D E;FEGHI J 9FKE;F

E

LEE

9EEE

9LEE

MEEE

MLEE

E LEE 9EEE 9LEE MEEE MLEE

234

45

) 345

MH

Page 30: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

M8 -+0,-*) +- '#>&#=#$-,#1#,N ()++- *)>*)''#%&) -,,*-1)*'% +- ',#2- ()+ $%)==#$#)&,) -&>%+-*)

,)', , (# ",0()&, 1#)&) 0,#+#..-,% /)* +- 1-+0,-.#%&) ()++- '#>&#=#$-,#1#,N ()+ $%)==#$#)&,)

$%

-

O()++- *)>*)''#%&) -,,*-1)*'% #& ,)', , (# ",0()&,; #+ $-+$%+% ()+ $%)==#$#)&,) ?M; )*-//*)')&,-*) # *)'#(0# ()++- *)>*)''#%&) #& $-*,- /*%5-5#+#',#$- &%*2-+)8

@+%11)*% ()+ $%)==#$#)&,) -&>%+-*) ()++- *),,- /*#2- ()'$*#,,-8 @+ /*#2% /-''% (- ')>0#*)&'#',) &)++- (),)*2#&-.#%&) ()++- 1-*#-5#+) ,)', P; $3) Q &%,- ') # *)'#(0# 3-&&%

(#',*#50.#%&) &%*2-+)8

:%1)B

- 1-+%*) *#'/),,% -+ <0-+) '# 10%+) 1-+0,-*) +- '#>&#=#$-,#1#,N R#& <0)',% $-'% Q /-*# - EST

()1#-.#%&) ',-&(-*( RUMV #&(#$- #+ &02)*% (# /-*-2),*# $3) '#-&(%T

()# *)'#(0#',-&&% ',#2

M DFFFW;EW

8 X%&'#()*-&(% +- ')*#) ',%*#$- ()++- /*)$#/#,-.#%&) -&&0- *)>#',*-,- -++- ',-.#%&) (#?#2-'$%; 1)*#=#$-*) +- /*)')&.- (# 0& )1)&,0-+) ,*)&( ,)2/%*-+)8

-&./$( ,06 @&,)*/%+-.#%&) ()++- /*)$#/#,-.#%&) 2)(#- -&&0- #& =0&.#%&) ()++4-&&%

F

E

LEE

9EEE

9LEE

MEEE

MLEE

FEEE

FLEE

9W9E 9WME 9WFE 9WKE 9WLE 9WGE 9WYE 9WHE 9WWE

234

45

(++&

MW

Page 31: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

FE

:-+ >*-=#$% '# /%''%&% <0#&(# ',#2-*) # (0) /-*-2),*#; +)>>)&(%+# (#*),,-2)&,)(-++4)<0-.#%&) ()++- *),,- (# ,)&()&.-B

"0$$)''#1-2)&,) /)* %>&# '#&>%+% 1-+%*) '# $-+$%+-B

Z# Z2)(#% D Z#

[# [2)(#% D [#

"CI;# D Z# [#

"II;# D R Z#SM

"0$$)''#1-2)&,) '# )')>0) +- '%22- (# ,-+# 1-+%*# /)* ,0,,# >+# # -&&# ) '# %,,#)&)B

"CID GEMF9;L

"IID MEHFM

"# $-+$%+- -&$3) #+ 1-+%*) (# /-*# -++- '%22- ()++- (#==)*)&.- ,*- /*)$#/#,-.#%&) *)>#',*-,- )%*#$- ')$%&(% #+ ,*)&( *#$-1-,%8,)

-

X%2) &)+ /0&,% /*)$)()&,) '# $-+$%+- P -*# - MMF9;FM ) 1-+0,-&(% #+ ,)', $%& +-=0&.#%&) (# \I$)+ '# %,,#)&) 0& 1-+%*) /-*# - E;F ) H8

$3) *#'0+,- /

Page 32: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

!"#$%&'()&*+# ,!"#$%&!'("$)* +*, -*!"$+$ +" !"&$!)$ +" ') )'."/!01"$

!"#$# %&''(&)&*"+,-.+#/& 0 12&''# %+ ),+3-*& +' $&*+#%# %+ *+,#*/# *&'-,+4# -% 2/ &4&/,#

&""&.+#/-'&5 6/ &4&/,# %+ 12&),# ,+$#7 %-,& '& )2& "-*-,,&*+),+"8& %+ &""&.+#/-'+,97 $2: /#/

*+&/,*-*& /&''& %+),*+;2.+#/+ $*#;-;+'+),+"8& *+"-4-,& 3&%+-/,& +/,&*<&*&/.- ),-,+),+"- - $-*,+*&

%- 2/ "-3$+#/& ),#*+"# %+ 3+)2*& $'24+#3&,*+"8&= +/ -'"2/+ "-)+7 +/<-,,+7 '- '&>>& %&' 4-'#*&

&),*&3# ?@A /#/ 0 -%&>2-,- - %&)"*+4&*& '& )"+& %&>'+ &),*&3+ +%*#'#>+"+5

-. /#'#$0&+()&*+# 1#2 3#$&*1* 1& $&'*$+* 1& 4+ #5#+'* #%%#)&*+(2#

B&* +/%+4+%2-*& +' $&*+#%# %+ *+,#*/# %+ 2/ &4&/,# 0 /&"&))-*+# ,*-""+-*& '& "2*4& %+

$#))+;+'+,9 $'24+#3&,*+"- $&* -))#"+-*& 2/- C -% 2/ %&,&*3+/-,# 4-'#*& %+ +/,&/)+,9 %+ $+#>>+-

%+ %&,&*3+/-,- %2*-,-5 D#/ %+)$#/&/%# %&+ %-,+ ),#*+"+ *&'-,+4+ -''- ),-.+#/& *&"&/,& %+

E-)&''& + %-,+ %&' /2#4# &4&/,# 4&/>#/# 4-'2,-,+ "#/ *+<&*+3&/,# -''& EBB *+"-4-,& %-''-

),-.+#/& $+F 4+"+/-7 /&' "-)# $-*,+"#'-*& 12&''- %+ G-/.# HC-;&''- I5JK5 C-'& -/-'+)+ 4+&/&

&<<&,,2-,- 3&%+-/,& +' 3&,#%# %&''- $*&"+$+,-.+#/& +/%+"& +' "2+ $*#"&%+3&/,# 0 ),-,# >+9

%&)"*+,,# /&''- $*&"&%&/,& &)&*"+,-.+#/&5 B&*,-/,# 4&/>#/# )#'-3&/,& $*&)&/,-,+ + $-*-3&,*+

/&"&))-*+ $&* +' ,*-""+-3&/,# %&''& "2*4&5

6(7#22( ,8- L&4+-.+#/& ),-/%-*% & 3&%+- %+ "-3$+#/+ %+ 3-))+3+ #*-*+ $&* &4&/,+ %+ %+4&*)- %2*-,- %+ G-/.#5

-9 :9 ;9 -<9 <=9AM7NI MA7OA MN7II JP7PA QP7IR

JM7AS IS7OO ON7PM RS7OP AMM7NA

@-'2,-/%# '- *&>*&))+#/& '+/&-*& H#,,&/2,- 3&%+-/,& $*#"&%+3&/,# -2,#3-,+"# %+ ?T"&'K

%&''& -',&..& %+ $*&"+$+,-.+#/& 3&%+- )+ #,,+&/& '- EBB +/%+"& HU+>2*- I5AK - "2+ )#/# -))#"+-,+ +

$-*-3&,*+ ( > :-?@A< & + > B?=<-=5 G- *&>*&))+#/& *+2',- 4-'+%- +/ 12-/,# VMWS7RRRR5

X <-,,#*+ %+ +/,&/)+<+"-.+#/& %&''- $*&"+$+,-.+#/& YC 4-'2,-,+ )2 2/ E4 3&%+# "8& *+)2',-

&))&*& $-*+ - S7QAA )#/# *+$#*,-,+ +/ ,-;&''- I5M5

6(7#22( ,8< U-,,#*+ %+ "*&)"+,- %&''- $*&"+$+,-.+#/& $&* + %+4&*)+ $&*+#%+ %+ *+,#*/#5

C6,B C6-BB C6<BB C6,BB C6-BBB

AM7NI MA7OA MN7II JP7PA QP7IR

6/- 4#',- %&,&*3+/-,+ 12&),+ $-*-3&,*+ )+ ,*-""+-/# $&* $2/,+ '& "2*4& %+ $#))+;+'+,9

$'24+#3&,*+"- *&'-,+4& -% #>/2/# %&+ $&*+#%+ %+ *+,#*/# "#/)+%&*-,+ HU+>2*- I5MK5

JA

Page 33: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

JM

6(7#22( ,8: ?),*&3+ $'24+#3&,*+"+ #*-*+ %+ G-/.#5

-9 :9 ;9 -<9 <=9AP7PS MI7SS QS7OS QO7OS OM7QS

JI7PS OJ7SS OJ7MS PO7PS AMI7MS

QP7SS OQ7OS NQ7MS NP7PS ASR7SS

MS7OS MM7MS QQ7PS QO7PS NA7SS

JQ7QS IS7QS IA7SS PQ7SS AAA7QS

JS7SS IP7SS PR7OS AMN7SS APA7SS

AP7SS JA7SS QO7SS IJ7QS OA7QS

MR7SS JP7SS JR7QS NQ7SS AAM7SS

JI7SS IP7MS OP7SS RA7SS AAI7SS

MJ7SS MP7SS MP7SS QI7SS PA7SS

AN7OS JN7SS IM7OS PN7SS RS7QS

MM7SS JA7SS QS7OS ON7SS PJ7SS

QO7SS OO7SS RS7SS ASO7SS AQS7SS

AO7SS JN7SS QP7SS PS7SS AMP7SS

MS7SS JN7SS NM7SS AAS7SS AOI7QS

JP7OS OM7OS RN7OS AAP7SS AJJ7MS

MQ7OS OA7SS PO7SS RR7PS AOM7SS

JP7QS OP7QS RJ7SS AMP7SS ARM7QS

JM7MS JR7MS QJ7SS NJ7SS AMA7SS

JS7SS OI7SS AAA7PS ANA7PS ARI7QS

JO7SS PM7SS AAM7SS AJP7OS AIO7MS

AP7SS MO7SS QJ7SS OM7SS RP7QS

JI7SS IO7QS PI7SS RQ7SS RQ7OS

JS7SS JO7SS IO7SS RR7SS ANJ7SS

MS7SS JA7MS QQ7SS OP7SS RI7SS

MS7SS JM7SS JQ7OS IN7SS OS7QS

AM7SS AR7SS JM7SS QM7SS OP7PS

AS7SS JS7SS IQ7SS OA7SS RO7SS

JI7SS PM7SS AAP7MS APO7SS ARM7PS

JO7MS II7PS II7PS IR7PS PJ7SS

MO7QS QM7PS QO7QS NI7MS AAM7MS

JQ7PS NQ7PS AAJ7QS AMP7SS AQQ7QS

AO7OS JJ7SS QO7SS IO7PS PA7MS

MQ7QS MR7SS IJ7PS IP7SS NM7MS

QI7QS PI7QS PO7MS PR7OS AMM7PS

AR7QS JS7QS IQ7SS RM7SS AMJ7QS

JN7OS IQ7OS IR7SS NP7OS AAN7MS

QR7MS OQ7SS OQ7SS OQ7SS PN7QS

QQ7QS IA7SS IA7PS RQ7OS AJO7PS

JM7QS QJ7NS NR7NS AQA7JS MSJ7JS

QA7SS IM7OS RM7MS IQ7NS AOA7QS

MI7AS QJ7QS OR7NS AOJ7NS ASP7JS

JO7QS NQ7JS AJO7SS MAN7NS JAM7SS

JA7SS JN7OS OA7MS PM7MS RR7NS

JA7OS JI7PS QA7JS IM7AS OJ7NS

OJ7QS NO7SS NN7MS NP7PS ASQ7AS

II7MS NP7QS RR7RS AAA7NS AIA7NS

OR7RS AJI7NS AQQ7AS AQQ7AS AIA7RS

JN7QS OR7IS PO7RS AAM7PS ARQ7RS

MA7MS JS7AS QJ7RS IM7IS ON7JS

IS7RS IJ7NS OS7JS PS7SS AQA7JS

I7AJ QI7NJ QI7NJ QI7NJ OI7JI

Page 34: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

JJ

Z W JA7RNMTS7QMAJ

VMW S7RRRR

A7SS

AS7SS

ASS7SS

ASSS7SS

A AS

'#>% [,\

'#>H8

%K[3

3\

ASS

D&E4$( ,8- V&>*&))+#/& '+/&-*& %&' "-3$+#/& %+ G-/.#5

!2""&))+4-3&/,& )+ )#/# %&,&*3+/-,+ + 4-'#*+ %&''& -',&..& %+ $+#>>+- 3-))+3& *&'-,+4& -''&

,*& %2*-,& HA7 J & O #*&K $&* '(&4&/,# &""&.+#/-'& %+ E-)&''&5 B&* $#,&* %&,&*3+/-*& ,-'+ 4-'#*+

%-''- )&*+& %+ %-,+ $'24+#3&,*+"+ )+ 0 *+"#*)# -''- )#33- 3#;+'&7 ,&/&/%# "#/,# 4+- 4+- %&''-

)#33- %+ 3+)2*-.+#/+ )2""&))+4&7 *&>+),*-,& #>/+ AS 3+/2,+7 )&"#/%# +/,&*4-''+ %+ -3$+&..-

4-*+-;+'& - )&"#/%- %&''- %2*-,- %+ $*&"+$+,-.+#/& "#/)+%&*-,-5 X 3-))+3+ 4-'#*+ %&''& ,*&

)2""&))+#/+ %+ )#33& 3#;+'+ )#/# + 4-'#*+ *+"&*"-,+] -/-'+,+"-3&/,&=

dt

tjjhdh max)(

X' $*#"&%+3&/,# 8- $*#%#,,# + )&>2&/,+ *+)2',-,+ )2''& 3+)2*& -/-'+..-,&

/4$('( F9G 90(H F00G

A NQ7M

J AQP7M

O MJM7P

X 4-'#*+ "#)^ ,*#4-,+ 4&/>#/# $#+ )#4*-$$#),+ -''- "2*4- %+ $#))+;+'+,9 $'24+#3&,*+"-

"#),*2+,- - $-*,+*& "#/ + %-,+%+)$#/+;+'+ %&''- ),-.+#/&%+ G-/.#5 L-' >*-<+"# %+ <+>2*- I5A )+ $2:

),+3-*& +/%+"-,+4-3&/,& "8& >'+ &4&/,+ %+ %2*-,- A7 J7 & O #*& )+-/# "#**+)$#/%&/,+ - %&+

$&*+#%+ %+ *+,#*/# *+)$&,,+4-3&/,& %+ ASS7 ISS7 & MSSS -//+5

Page 35: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

JQ

S

IS

ASS

AIS

MSS

MIS

JSS

JIS

QSS

A M J Q I O N P R AS AA AM AJ AQ AI AO AN AP AR MS MA MM MJ MQ

% [8\

8[3

3\

IS -//+

ASS -//+

MSS -//+

ISS -//+

ASSS -//+

_-))+3+ E-)&''&

D&E4$( ,8< !#4*-$$#)+.+#/& 4-'#*+ %+ "-)&''& - EBB "#),*2+,- )2+ %-,+ %+ G-/.#5

<. /#'#$0&+()&*+# 1& 1#''(E2&* 1& 6IJ. 0#1&(+'# 2( 1&"'$&74)&*+# 1& K407#2

G(-/-'+)+ %+ )&>2+,# $*&)&/,-,- 0 *+<&*+,- )#'# -''& $*&"+$+,-.+#/+ %+ %2*-,- $-*+ - 2/(#*-5

X$#,+..-/%# "8& + %-,+ %&''(&4&/,# &""&.+#/-'& %+ E-)&''& -$$-*,&/>-/# -''- ),&))-

$#$#'-.+#/& %&+ %-,+ ),#*+"+ %+ G-/.# )& 12&),(2',+3# *+)2',-))& +' 3-))+3# %&''- )&*+& )+

$#,*&;;& -$$'+"-*& +' ,&), %&' 3-))+3# 4-'#*&5 G(+$#,&)+ `S %- )#,,#$#**& - ,&), 0= aX' 4-'#*&

3-))+3# b/ -$$-*,+&/& -''- %+),*+;2.+#/& %&+ 3-))+3+ %+ D %-,+ )2 2/- Ub/HTK %+ c23;&'d

B*+3# #;+&,,+4# 0 12&''# %+ *+"-4-*& '- Ub/HTK] $&* +' $*#"&%+3&/,# %+ "#),*2.+#/& %&''-

%+),*+;2.+#/& %+ 2/ 3-))+3# %+ 2/- 4-*+-;+'& "-)2-'& )+ 8-

NXX xFxF

N)()(

)(

!& '- %+),*2;2.+#/& UbHTK 0 2/- c23;&' -/"8& '- %+),*+;2.+#/& %&' 3-))+3# %+ 2/ "-3$+#/& %+

D %-,+ *+)2',&*9 2/- c23;&'] +/<-,,+ &12+4-'& - )"*+4&*&

N

Xx

xFN

2

1expexp)()(

Page 36: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

JI

"8&7 %#$# )&3$'+"+ $-))->>+7 $#*,- -''(&)$*&))+#/&

2

*1expexp)(

)(

xxF

NX

Nln21*1

G- /2#4- %+),*+;2.+#/&7 "#3& 4#'&4-)+ %+3#),*-*&7 0 12+/%+ -/"#*- 2/- c23;&' "#/ 2/

$-*-3&,*# A +/"*&3&/,-,# "8& &12+4-'& - ,*-)'-*& #*+..#/,-'3&/,& '- c23;&' #*+>+/-*+-

%&''- 12-/,+,9 ./+05

V+3-/& %- 4-'2,-*& )& +' /2#4# &4&/,# $2: &))&*& %&)"*+,,# %-''- %+),*+;2.+#/& 4-'2,-,- -

$-*,+*& %-+ %-,+ ),#*+"+ +/ $#))&))# /&''- ),-.+#/& %+ *+<&*+3&/,#5 B&* <-*& "+: 0 $#))+;+'&

-$$'+"-*& +' ,&), %&' 3-))+3# 4-'#*& "8& "#/)+),& /&' %&<+/+*& 2/- b/GX_ "8& "#),+,2+)"& +' '+3+,&

%+ -""&,,-.+#/& %&' ,&),5 B&* 2/ '+4&''# %+ )+>/+<+"-,+4+,9 %&' Ie H WS7SIK & ,*-,,-/%#)+ 2/

"#/,*#''# $&* &),*&3+ $#)+,+4+ )+ 8- "8&

)95,0( XnnLIM FXX

$+F +/ >&/&*-'&7 $&* #,,&/&*& 2/ &)$*&))+#/& 2,+'+..-;+'& /&+ "-'"#'+7 ,&/&/%# "#/,# %&''-

'&>>& %+ %+),*+;2.+#/& %+ c23;&'

))1ln(ln(2*1nLIMX

!& +' 4-'#*& %&''(&4&/,# 0 +/<&*+#*& - b/GX_ -''#*- +' ,&), 0 $-))-,# 0 '- %+),*+;2.+#/& "#/ +

$-*-3&,*+ "#)^ ),+3-,+ 0 -%-,,- - $*&4&%&*& '(&4&/,#] +/ "-)# "#/,*-*+# +/)&*&/%# /&'

"-3$+#/& %+ %-,+ +' /2#4# &4&/,# & *+),+3-/%# + $-*-3&,*+ )+ 4&*+<+"- "8& +' ,&), <#*/+)"& &)+,#

$#)+,+4#5 E+: 0 )$+&>-;+'& "#/ +' <-,,# "8& +' ,&), %+4&/,- 3&/# *&),*+,,+4# +/ 12-/,# +' /2#4#

&4&/,# 0 +/ >*-%# %+ %+),#*"&*& +' 4-'#*& '+3+,& a- )2# <-4#*&d7 +' "8& /#/ *+)2',- -""&,,-;+'&5

Page 37: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

6(7#22( ,8= f/-'+)+ "-3$+#/& %+ G-/.# )&/.-'g&4&/,# &""&.+#/-'& %+ E-)&''&5

W 32,10

W 12,62

- > 26,42

< > 9,84

9I&.F00G

9I&.L <2+MF00G

4 JJ 4

AS7SS QP7PR A7OONO S7SAPR A7JNPP

AM7SS IS7PR A7QOQQ S7SJNN A7APNS

AO7SS IQ7PR A7SIPA S7SIOO A7SIQR

AO7OS II7QR S7RRNA S7SNII S7RQRJ

AN7OS IO7QR S7PRII S7SRQJ S7PIRS

AP7SS IO7PR S7PIQR S7AAJM S7NNPN

AP7SS IO7PR S7PIQR S7AJMA S7NSIJ

AP7PS IN7OR S7NNJO S7AISR S7OJNS

AR7QS IP7MR S7NAMN S7AORP S7INMN

MS7SS IP7PR S7OIAN S7APPN S7IAAQ

MS7SS IP7PR S7OIAN S7MSNI S7QIMO

MS7SS IP7PR S7OIAN S7MMOQ S7JRIN

MS7OS IR7QR S7IRSP S7MQIJ S7JQSJ

MA7MS OS7SR S7IMRP S7MOQM S7MPOA

MM7SS OS7PR S7QQPI S7MPJS S7MJMR

MJ7SS OA7PR S7JQOR S7JSAR S7APSQ

MQ7QS OJ7MR S7MSQN S7JMSP S7AMPI

MQ7OS OJ7QR S7APQQ S7JJRO S7SNOR

MI7AS OJ7RR S7AJJO S7JIPI S7SMII

MO7QS OI7MR S7SSAI S7JNNQ S7SMIP

MR7SS ON7PR S7MOMO S7JROM S7SNNA

JS7SS OP7PR S7JOQM S7QAIA S7AMPN

JS7SS OP7PR S7JOQM S7QJQS S7APSO

JS7SS OP7PR S7JOQM S7QIMP S7MJMR

JA7SS OR7PR S7QOIP S7QNAN S7MPIP

JA7OS NS7QR S7IMON S7QRSO S7JJRQ

JM7MS NA7SR S7IPNN S7ISRQ S7JRJR

JM7QS NA7MR S7OSPS S7IMPJ S7QQRJ

JQ7QS NJ7MR S7PAAM S7IQNM S7ISIP

JQ7PS NJ7OR S7PIAP S7IOOS S7IOJN

JI7SS NJ7PR S7PNMA S7IPQR S7OMJA

JI7SS NJ7PR S7PNMA S7OSJP S7OPQA

JI7SS NJ7PR S7PNMA S7OMMO S7NQNS

JI7PS NQ7OR S7RIJQ S7OQAI S7PAMA

JO7SS NQ7PR S7RNJN S7OOSQ S7PNRO

JO7MS NI7SR S7RRQA S7ONRM S7RQRR

JO7QS NI7MR A7SAQQ S7ORPA A7SMJQ

JN7QS NO7MR A7AAOS S7NANS A7ASSI

JN7OS NO7QR A7AJOJ S7NJIP A7APAP

JP7QS NN7MR A7MANO S7NIQN A7MONR

JP7OS NN7QR A7MJNR S7NNJO A7JIRP

QA7SS NR7PR A7QPAN S7NRMI A7QIPJ

QQ7QS PJ7MR A7PMNA S7PAAJ A7IOIS

QI7AJ PQ7SM A7RSAJ S7PJSM A7OPAI

QI7QS PQ7MR A7RMPN S7PQRA A7PASM

QO7SS PQ7PR A7RPRO S7PONR A7RIQQ

QP7SS PO7PR M7ARMP S7PPOP M7AARA

QR7MS PP7SR M7JAQN S7RSIN M7JAAN

IS7RS PR7NR M7QPNQ S7RMQI M7IQIS

II7MS RQ7SR M7RMQJ S7RQJQ M7PQMN

OJ7QS ASM7MR J7NINJ S7ROMJ J7MIPS

OR7RS ASP7NR Q7QANO S7RPAA J7ROSP

JO

Page 38: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

9I&.F00G

9I&.L <2+MF00G

4 JJ 4

AS7SS IM7NP A7IJNS S7SAPI A7JPJI

AM7SS IQ7NP A7JIMJ S7SJNS A7ARMN

AO7SS IP7NP S7RPMR S7SIIO A7SOAQ

AO7OS IR7JP S7RMNI S7SNQA S7RIOI

AN7OS OS7JP S7PJIA S7SRMO S7POOR

AP7SS OS7NP S7NRPM S7AAAA S7NPNM

AP7SS OS7NP S7NRPM S7AMRO S7NAQI

AP7PS OA7IP S7NMQJ S7AQPA S7OQOR

AR7QS OM7AP S7OOPP S7AOON S7IPJM

MS7SS OM7NP S7OAJQ S7APIM S7IMMO

MS7SS OM7NP S7OAJQ S7MSJN S7QOQQ

MS7SS OM7NP S7OAJQ S7MMMM S7QSPM

MS7OS OJ7JP S7IIPS S7MQSN S7JIJI

MA7MS OJ7RP S7ISMO S7MIRJ S7JSSA

MM7SS OQ7NP S7QMPN S7MNNP S7MQNO

MJ7SS OI7NP S7JJOQ S7MROJ S7ARIR

MQ7QS ON7AP S7MSNS S7JAQP S7AQQP

MQ7OS ON7JP S7APPO S7JJJJ S7SRQS

MI7AS ON7PP S7AQMQ S7JIAR S7SQJO

MO7QS OR7AP S7SMMJ S7JNSQ S7SSOP

MR7SS NA7NP S7MANP S7JPPR S7SINA

JS7SS NM7NP S7JASM S7QSNQ S7ASNN

JS7SS NM7NP S7JASM S7QMIR S7AIPQ

JS7SS NM7NP S7JASM S7QQQQ S7MSRO

JA7SS NJ7NP S7QSMI S7QOJS S7MOAM

JA7OS NQ7JP S7QIPS S7QPAI S7JAJI

JM7MS NQ7RP S7IAJQ S7ISSS S7JOOI

JM7QS NI7AP S7IJAP S7IAPI S7QMSQ

JQ7QS NN7AP S7NAOO S7IJNS S7QNIJ

JQ7PS NN7IP S7NIJI S7IIIO S7IJAQ

JI7SS NN7NP S7NNMS S7INQA S7IPPP

JI7SS NN7NP S7NNMS S7IRMO S7OQNN

JI7SS NN7NP S7NNMS S7OAAA S7NSPJ

JI7PS NP7IP S7PQIR S7OMRO S7NNSP

JO7SS NP7NP S7POQJ S7OQPA S7PJII

JO7MS NP7RP S7PPMP S7OOON S7RSMN

JO7QS NR7AP S7RSAJ S7OPIM S7RNMN

JN7QS PS7AP S7RRJO S7NSJN A7SQIP

JN7OS PS7JP A7SAMA S7NMMM A7AMMO

JP7QS PA7AP A7SPOS S7NQSN A7MSJO

JP7OS PA7JP A7ASQI S7NIRJ A7MPRI

QA7SS PJ7NP A7JMOA S7NNNP A7JPAA

QQ7QS PN7AP A7OQSM S7NROJ A7QNRQ

QI7AJ PN7RA A7NSNO S7PAQP A7IPIN

QI7QS PP7AP A7NJMI S7PJJJ A7NSMS

QO7SS PP7NP A7NPNR S7PIAR A7PJSQ

QP7SS RS7NP A7RNMN S7PNSQ A7RNQI

QR7MS RA7RP M7SPJI S7PPPR M7AJPR

IS7RS RJ7OP M7MQSI S7RSNQ M7JJAQ

II7MS RN7RP M7OJNN S7RMIR M7IOQI

OJ7QS ASO7AP J7JRIS S7RQQQ M7POAR

OR7RS AAM7OP J7RRIQ S7ROJS J7MNNS

NQ7MS AAO7RP Q7JRMI S7RPAI J7RNRN

6(7#22( ,8, f/-'+)+ "-3$+#/& %+ G-/.# "#/ 'g&4&/,#&""&.+#/-'& %+ E-)&''&5

W 32,89

W 13,89

- > 26,64

< > 10,83

JN

Page 39: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

JP

M7SSSS

A7SSSS

S7SSSS

A7SSSS

M7SSSS

J7SSSS

Q7SSSS

I7SSSS

S MS QS OS PS ASS AMS

8H+K [33\

2

UbHTK

Ub/HTK

D&E4$( ,8: f/-'+)+ %&' "-3$+#/& %+ G-/.# "#/ 'g+/"'2)+#/& %&''(&4&/,# %+ E-)&''&5

X' 4-'#*& '+3+,& %&''- $*+3- %+),*+;2.+#/& 0 "#32/12& +/ >*-%# %+ $*&4&%&*& '(&4&/,# +/

12-/,# *+)2',- &))&*& $-*+ - @=?,, 005 f''(&4&/,# %+ E-)&''& '- %+),*+;2.+#/& -))#"+- 2/

$&*+#%# %+ *+,#*/# %+ "+*"- ASS -//+5

M7SSSS

A7SSSS

S7SSSS

A7SSSS

M7SSSS

J7SSSS

Q7SSSS

I7SSSS

S7SS MS7SS QS7SS OS7SS PS7SS ASS7SS AMS7SS AQS7SS

8H+K [33\

2

UbHTK

Ub/HTK

D&E4$( ,8= f/-'+)+ %&' "-3$+#/& %+ G-/.# "#/ 'g+/"'2)+#/& %&''(&4&/,# %+ E-)&''&5

E#3& %- -,,&)& +' /2#4# 4-'#*& '+3+,& "#**+)$#/%&/,& "#/ '(+/"'2)+#/& %&''(&4&/,# *+)2',-

&))&*& 3->>+#*& &% 0 $-*+ - -B-?,N5

Page 40: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

!"#$%&'()&*+# ,!"#$#%%& '($ )*&+*,--, .+*,//

"# $%&'%())( *'%(++ $,%),--, ./ (0(#/11(%, 20 3(4/0& /0 -2--, #, +2, 5&%),6 ( $(%-/%,.(##7(0(#/+/ .,##( )($$( /)$&%-(-(6 $,% (%%/8(%, (##7,+-%(1/&0, .,# 3(4/0& ./ /0-,%,++, , (##(.,-,%)/0(1/&0, .,/ +2&/ $(%(),-%/ ',&)&%5&#&'/4/9"0 :2,+-& 4(+& +/ 82&#, (0(#/11(%, /# 3(4/0& .,# ;(0'&0, 4</2+& ( =%(0( >4&&%./0(-,?@ABCCDEF G@HIJEHFK6 ( $(%-/%, .(# )&.,##& ./'/-(#, .,# -,%%,0& ( )('#/, :2(.%(-, ./ JF)./ #(-&9

D9 L($$%,+,0-(%, #( )&%5&#&'/( .,# 3(4/0& (--%/32,0.& (. &'0/ $/M,# 20 4&#&%, & 20 -&0& ./'%/'/& $%&$&%1/&0(#, (##( +2( :2&-(9

-&./$( ,01 N-) ;(0'&0,

O9 N,-,%)/0(%, #P(%,( .,# 3(4/0&9Q-/#/11(0.& /# 4&)(0.& *'%(++ L(+-,% -&&#+ R L(+-,% /05& -&&#6 S $&++/3/#, /0-,%%&'(%, /#$%&'%())( +2 (#420/ .(-/ %,#(-/8/ (# 3(4/0&9 Q0( ./ :2,+-, /05&%)(1/&0/ S $%&$%/& #7(%,(.,# 3(4/0&6 , :2,##& 4<, +/ -%&8(%T +(%TU

(4-/8, (%,( >(++2)/0' ),-%/4 %,+&#2-/&0KU O9ECOCOJGC

N( :2,+-& +/ .,.24, 4<, #7(%,( .,# 3(4/0& S $(%/ ( OEC6OCOJ V)O9

H9 W(#4&#(%, #( :2&-( ),./(6 )(++/)( , )/0/)( .,# 3(4/0&9W&), +/ $2X 8,.,%, 0,# $20-& D6 #( :2&-( )(++/)( S $(%/ ( OIFD )6 #( :2&-( )/0/)( SODE )6 ),0-%, :2,##( ),./( $2X ,++,%, 4(#4&#(-( (--%(8,%+& #( 5&%)2#(U

Y&/4<Z /# $%&'%())( *'%(++ +2../8/., /# 3(4/0& /0 (%,, 2'2(#/6 3(+-,%T 5(%, #( ),./( .,/8(#&%/ -%&8(-/ 0,# $20-& D9 [2/0./ #( :2&-( ),./( .,# 3(4/0& +(%T $(%/ ( DHOJ6IO )9

AF

Page 41: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

A9 =%(44/(%, #, 42%8, /$+&'%(5/4( , /$+&),-%/4( .,# 3(4/0&9\( 42%8( /$+&'%(5/4( 8/,0, 4&+-%2/-( $,% #( 8(#2-(1/&0, .,##( ./+-%/321/&0, .,##, :2&-, ./20 3(4/0&9 \( :2&-( ),./( $%/)( 4(#4&#(-( +2../8/., /# '%(5/4& /0 .2, (%,, 2'2(#/6 :2,+-&$,%4<Z /# 8(#&%, ),./& S $,+(-& +2##, (%,,9;, +/ 4&0+/.,%( 20( 42%8( ./ #/8,##& / ,+/)(6 ( :2,+-( :2&-( 4&%%/+$&0.,%T #7(%,( (# ./+&$%(9 ;, +/ $%&4,., /0 :2,+-& )&.& $,% -2--, #, :2&-, +/ &--/,0, 20( 42%8( 4&), +,'2,U

-&./$( ,02 W2%8( /$+&'%(5/4(

\( 42%8( /$+&),-%/4(6 /08,4,6 S #7(./),0+/&0(#/11(1/&0, .,##( 42%8( /$+&'%(5/4( ,$,%),--, 4&+] ./ 5(%, 4&05%&0-/ &)&',0,/ -%( 3(4/0/ +2$,%5/4/(#/ , +&--,%%(0,/9

-&./$( ,03 W2%8( /$+&),-%/4(

F

OF

AF

EF

CF

DFF

DOF

DAF

DEF

HJF6HJ

AJC6DJ

JEJ6BJ

EIH6IJ

ICD6JJ

CCB6HJ

BBI6DJ

DDFA

6BJ

DODO

6IJ

DHOF

6JJ

DAOC

6HJ

DJHE

6DJ

DEAH

6BJ

DIJD

6IJ

DCJB

6JJ

DBEI

6HJ

OFIJ

6DJ

ODCO

6BJ

OOBF

6IJ

OHBC

6JJ

OJFE

6HJ

OEDA

6DJ

1^)

_

` ^V)O_

F

F6O

F6A

F6E

F6C

D

D6O

F6FF

F6FJ

F6FB

F6DA

F6DB

F6OH

F6OC

F6HH

F6HI

F6AO

F6AI

F6JD

F6JE

F6EF

F6EJ

F6IF

F6IA

F6IB

F6CA

F6CC

F6BH

F6BC

M

AD

Page 42: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

;2##7(++, .,##, (+4/++, +(%(00& $%,+,0-/ / 8(#&%/ 4(#4&#(-/ +,4&0.& #( 5&%)2#(U

;2##7(++, .,##, &%./0(-,6 /08,4,6 4/ +(%(00& #, 5%(1/&0/ ./ (%,, (./),0+/&0(#/6 +,4&0.& #(5&%)2#(U

;/ &--/,0, :2/0./ 20 '%(5/4& 4&), ./ +,'2/-&6 4(%(--,%/11(-& .( 20 (0.(),0-& %,--/#/0,&64<, S #( 4(%(--,%/+-/4( $%/04/$(#, ./ 20 ./('%())( (./),0+/&0(#,9

J9 G+-%(%%, 4&0 $%&4,.2%( (2-&)(-/4( /# %,-/4&#& /.%&'%(5/4&9Y%/)( ./ $%&4,.,%, (##7,+-%(1/&0, .,# 3(4/0& /.%&'%(5/4&6 +&0& 0,4,++(%/, (#420,,#(3&%(1/&0/ .,/ .(-/ ./'/-(#/ .,# -,%%,0& ./ $(%-,01(9 "# $%/)& $(++& 4&0+/+-,0,##7($$#/4(1/&0, .,# 4&)(0.& a-./&'0&11#$b 4<, $,%),--, ./ ,#/)/0(%, ,8,0-2(#/ $20-/ ./.,$%,++/&0, /0 )&.& .( $&-,% 4(#4&#(%, ./%,--(),0-, #, ./%,1/&0/ ./ .%,0(''/&9

-&./$( ,04 N-) ;(0'&0,!4&)(0.& <9$/-5/##,%

"# $(++& +244,++/8& S :2,##& ./ .,-,%)/0(%, 4&), #7(4:2( +/ )2&8, +2##( +2$,%5/4/, /0%,#(1/&0, (##( -&$&'%(5/( 4<, 4(%(--,%/11( #( %,'/&0, ./ +-2./&9 "# 4&)(0.&a-.01*23&$#%'&*+"b $,%),--, ./ 4(#4&#(%, #, ./%,1/&0/ ./ .%,0(''/&6 ./%/',0.& /# 5#2++/#20'& #( #/0,( ./ )(++/)( $,0.,01(9

AO

Page 43: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

-&./$( ,05 N-) ;(0'&0,!4&)(0.& <95#&c./%,4-/&0+

"# ),-&.& 2+(-& /0 d#&c./%,4-/&0+ $,% 4(#4&#(%, #, ./%,1/&0/ ./ .%,0(''/& $%&8&4( 20(.,8/(1/&0, .,# 5#2++& %/+$,--& (# $,%4&%+& %,(#),0-, +,'2/-& .(##P(4:2( .2%(0-, #(./+4,+( .( )&0-, 8,%+& 8(##,9 a-.3$(&+3&$b 4&0+,0-, ./ %/4(#4&#(%, -(#, $,%4&%+&($$&%-(0.& 20( 4&%%,1/&0, 4<, )/0/)/11( -(#, .,8/(1/&0,9

"# $%&'%())( 4(#4&#( (04<, #, (%,, 4&0-%/32,0-/ >=W` & =&-(# W&0-%/32-/0' `%,(K 4<,%($$%,+,0-(0& #( $%&/,1/&0, +2# $/(0& &%/11&0-(#, .,##, (%,, 4<, 5(00& %/5,%/),0-& (. 20$20-& .,# 3(4/0&9

-&./$( ,0, N-) ;(0'&0,!4&)(0.& <9.%(/0./%

` :2,+-& $20-& S 0,4,++(%/& 5/++(%, +2##( )($$( .,##, ./%,1/&0/ ./ .%,0(''/& -2--/ / $20-/./ 2+4/-( .(##( %,'/&0, 4&0+/.,%(-(9 ;,'2,0.& #, ./%,1/&0/ ./ .%,0(''/&6 +/ (%%/8( /05(--/ +2#3&%.& .,# )&.,##& ./'/-(#, .,# -,%%,0&9 " $20-/ +2# 3&%.&6 +&0& #( 4</2+2%( ./ 20 3(4/0&/.%&'%(5/4&9 a-.4($567'1#'"b /0./8/.2( ($$20-& :2,+-/ $20-/9

AH

Page 44: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

-&./$( ,06 N-) ;(0'&0,!4&)(0.& <9e(%Vf2-#,-+

;/ $2X :2/0./ $%&4,.,%, (##P,+-%(1/&0, .,# %,-/4&#& /.%&'%(5/4& 2-/#/11(0.& 20& .,/ -%,),-&./ ( ./+$&+/1/&0,9 Q0& 3(+(-& +2##( )('0/-2.& & #, (%,, 4&0-%/32,0-/6 20 +,4&0.&+2# $%&.&--& -%( (%,, 4&0-%/32,0-/ , '%(./,0-, ,. 20 -,%1& +2##, 42%8(-2%,9 ` +,4&0.( .,#),-&.& $%,+4,#-& S 0,4,++(%/& $%&4,.,%, (# 4(#4&#& ./ )($$, (''/20-/8,9Q-/#/11(0.& /# 4&)(0.& a-.#8'$(%'+#'2*$5b +/ &--/,0, 20 '%(5/4& 4&), ./ +,'2/-&U

-&./$( ,07 N-) ;(0'&0,!4&)(0.& <9,M-%(4-0,-c&%V

E9 N,-,%)/0(%, #( #20'<,11(6 #( $,0.,01( .,##P(+-( $%/04/$(#, , /.,0-/5/4(%0, /# $,%4&%+&9Y,% :2(0-& %/'2(%.( #( #20'<,11( .,##7(+-( $%/04/$(#,6 +/ S 8&#2-& 5(%, %/5,%/),0-& (#3(4/0& /.%&'%(5/4& 4<, +/ 4</2., ( =%(0(9 "0 :2,+-& 4(+& #7,+-%(1/&0, .,# %,-/4&#&/.%&'%(5/4& S %/$&%-(-& ./ +,'2/-&U

-&./$( ,08 N-) =%(0(!%,-/4&#& /.%&'%(5/4&

AA

Page 45: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

AJ

W&), +/ $2X 8,.,%,6 0,##7/))('/0, +$/44( #7(+-( $%/04/$(#, 4<, <( 20( #20'<,11( ./ OOJFF )9N/ +,'2/-& S %/$&%-(-& /# $%&5/#& .,##7(+-( $%/04/$(#,U

-&./$( ,019 Y%&5/#& .,##7(+-( $%/04/$(#,

Page 46: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

!"#$%&'()&*+# ,!"#$%&!'("$)* +" ') "+!$,!-..- +" /!$,*&&$ #$) "0 .*&$+$

#")*.-&"#$

-(. /*'( 0( %1$2( &3"*4$(5&%( 6#0 7(%&+* 6#0 8(+4*+# ( 9$(+( "& 2(01'& &0 '#:3* 6&

%*$$&2()&*+# 6#0 7(%&+* (''$(2#$"* 0( 5*$:10( 6& ;&(+6*''&

'8,05,14HLStc

!"#$%

- & ' ()*+,$--. !$((/.01. 234*542.($ 64* 789:- ; ' .3$. !$( <.54*" 64* 78 =9:- >/ ' !4??$3$*-. 13. (. @)"1. 8$!4. $ (. @)"1. 84*48. !$( <.54*" 64* 8$1349:- 15 A $023$00" 4* "3$B

< =>:?@ CDEFGH

A:&+ =:@ DEI

A:(B =:@ =EEJ

A:#6&( =:@ CHJGFK

CD =:@ G=DFK

E =>:@ ==FL

M.(4 !.14 0"*" 01.14 345.#.14 !.( ?4($ $(.<"3.1" 5"* NOPQ;; 3$(.14#" .((R$0$3541.-4"*$23$5$!$*1$B Q22(45.*!" (. ?"38)(. !4 O4.*!"114 04 "114$*$ 5,$ 4( 1$82" !4 5"334#.-4"*$ A !4FG,H *$#B

IE

Page 47: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

?(. < 3($'&$# 6(00( %1$2( 6& 3*""&7&0&'I 3012&*:#'$&%( %*+ 9JKL (++& M$&5#$&'( (00( "'()&*+# 6&

9*$&+*. %*"'$1&$# 1+ 3012&*4$(::( 6& 3$*4#''* %*+ &+'#+"&'I %*"'(+'# 3($& (00N&+'#+"&'I

:#6&( &'%O 6& 61$('( 3($& (0 '#:3* 6& %*$$&2()&*+# '%P

S.(5"(.*!" 4( #.("3$ !$((R.(1$--. !4 24"++4. 5"* (. ?"38)(.

nt adKh

!"#$%

- .' 345.#.1" !.((RT0$3541.-4"*$ I 2$3 )* 1$82" !4 341"3*" !4 LH .**4 $ 2.34 . CFKC:- (F + 2.3.8$134 !$((. 3$11. !4 3$+3$004"*$ 6T0$3541.-4"*$ I9 2.34 3402$114#.8$*1$ . =KFIC $

HF=IKC:- ! A 4( 1$82" !4 5"334#.-4"*$ 2.34 . DFGI "3$B

;4 "114$*$ 4( #.("3$ !4 , 2.34 . ,QGLQ ::B

U$3 "11$*$3$ 4( #.("3$ !4 415V 04 !4#4!$ 4( #.("3$ !$((R.(1$--. !4 24"++4. 2$3 4( 1$82" !45"334#.-4"*$ $ 04 "114$*$%

74,308,78*

ctc t

hi ' =HFJE 88W,

U$3 5)4 4( 2()#4"+3.88. 5"* 4*1$*041X 5"01.*1$ 2$3 4( 1$82" !4 5"334#.-4"*$ 0.3X%

0

5

10

15

20

25

0 0,3 0,6 0,9 1,2 1,5 1,8 2,1 2,4 2,7 3 3,3 3,6 3,9 4,2 4,5

d [h]

i [m

m/h

]

R&41$( ,P- U()#4"+3.88. !$((. 23$54241.-4"*4 6M' LH .**49B

IG

Page 48: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

F(. S(0%*0* 6#00N&6$*4$(::( 6& 3&#+( %*+ &0 :#'*6* %&+#:('&%*G +*'* &0 3012&*4$(::(

+#''*G *''#+1'* %*:# &+J LPK &O'%P

9(7#00( ,P- S"013)-4"*$ !$((" 4!3"+3.88. !4 24$*.B

B=:@

<=>:?@

<=>:?@

T=:FU"@

VM'.=:FU"@

'=A@

FKLGFK CDEFGH HFHH

HLHG?K CDEFLG HFCD HFDE HFDE HFHK

HKQG-K CD=FKH DFEJ CHFEL CCFH= HFCJ

K-?GLK C=LFIH GFLH =CFG= D=FGI HF=E

KWKGXK CCGFCG JF== =DFJD LEFLG HFDL

W-XGQK CCCFIE LFG= CEFLE GDFCD HFII

W,FG,K CHLFEL LFJC CEFJ= JKFKL HFLD

,?,GWK KKFDJ EF=G CJFCE CHJFC= HFEC

,Q-GKK KDF=L EFCD CGFGE C=LFJJ HFGH

QFKGHK JGF=K LFKE CGF=E CIDFCI HFGK

QQXGFK JCF=G EFH= CGFID CEHFLG HFJJ

XHFG?K GLFIE LFJC CEFJI CGGFIC HFKE

XX,G-K EKFK= LFLI CEFHE CKDFIG CFHL

-LK-GLK EIFGH LF== CLFCC =HJFLJ CFCI

--LHGXK LKFJH IFKC CIF=C ===FGK CF=D

--KQGQK LLFCG IFED CDFIH =DEFCJ CFDC

-?-?G,K LHFEE IFL= CDFHJ =IKF=G CFIH

-?WWGWK IEFLE IFCH CCFJE =ECFCD CFIK

-F?LGKK I=FEL DFK= CCFDL =G=FIJ CFLJ

-F,HGHK DKFHD DFE= CHFIK =J=FKG CFEE

-H?QGFK DLFLJ DFIL KFKJ =K=FKL CFGL

-HQ?G?K D=FCH DFIK CHFCH DHDFHI CFJI

-KFWG-K =KFCH =FKK JFEG DCCFGC CFKD

-KXLGLK =EF== =FJJ JFDL D=HFHE =FHC

-WHFGXK =DFLH =FGD GFJK D=GFKE =FCH

-WX,GQK =HFKH =FLK GFLC DDLFIG =FCK

-,K-G,K CJFIJ =FI= GFHC DI=FIJ =F=J

-QLKGWK CEF=I =F=L EFLC DIJFKK =FDE

-QKXGKK CIFHC =F== EFII DLLFID =FIL

-X-FGHK C=FHK CFKD LFLJ DECFHC =FLI

-XW,GFK CHFDH CFGK LFCK DEEF=H =FED

?L?-G?K JFG= CFLJ IFLJ DGHFGJ =FGC

?L,KG-K GF=J CFII IFCE DGIFKD =FJH

?-?XGLK EFHE CF== DFLI DGJFIJ =FJK

?-Q?GXK IFKH CFCE DFDL DJCFJ= =FKJ

??FWGQK DFJI CFHG DFHK DJIFKC DFHE

??XLG,K =FEJ CFCE DFDL DJJF=E DFCL

?FHHGWK CFGD HFKE =FGG DKCFHD DF=I

?FXQGKK CFCH HFED CFJD DK=FJL DFDD

IJ

Page 49: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

B=:@

<=>:?@

<=>:?@

T=:FU"@

VM'.=:FU"@

'=A@

?HK?GHK HFGH HFDK CFCI DKDFKK DFIC

?KLWGFK HFID HF=G HFGK DKIFGJ DFLH

?KWLG?K HF=D HF=C HFLK DKLFDG DFLK

?W-HG-K HFHK HFCI HFIH DKLFGG DFEJ

?WWQGLK HFHD HFHE HFCJ DKLFKL DFGE

FKLGFK CDEFGH

HLHG?K CDEFLG HFCD HFDE DKLFLK DFJL

HKQG-K CD=FKH DFEJ CHFEL DJIFKI DFKI

K-?GLK C=LFIH GFLH =CFG= DEDF=C IFHD

KWKGXK CCGFCG JF== =DFJD DDKFDK IFCC

W-XGQK CCCFIE LFG= CEFLE D==FJ= IF=H

W,FG,K CHLFEL LFJC CEFJ= DHEFHH IF=K

,?,GWK KKFDJ EF=G CJFCE =JGFJD IFDJ

,Q-GKK KDF=L EFCD CGFGE =GHFHG IFIE

QFKGHK JGF=K LFKE CGF=E =L=FJC IFLL

QQXGFK JCF=G EFH= CGFID =DLFDJ IFEI

XHFG?K GLFIE LFJC CEFJI =CJFLI IFGD

XX,G-K EKFK= LFLI CEFHE =H=FIJ IFJC

-LK-GLK EIFGH LF== CLFCC CJGFDJ IFKH

--LHGXK LKFJH IFKC CIF=C CGDFCG IFKK

--KQGQK LLFCG IFED CDFIH CLKFGG LFHJ

-?-?G,K LHFEE IFL= CDFHJ CIEFEK LFCE

-?WWGWK IEFLE IFCH CCFJE CDIFJ= LF=L

-F?LGKK I=FEL DFK= CCFDL C=DFIG LFDI

-F,HGHK DKFHD DFE= CHFIK CC=FKK LFID

-H?QGFK DLFLJ DFIL KFKJ CHDFHC LFLC

-HQ?G?K D=FCH DFIK CHFCH K=FKC LFEH

-KFWG-K =KFCH =FKK JFEG JIF=I LFEK

-KXLGLK =EF== =FJJ JFDL GLFJK LFGJ

-WHFGXK =DFLH =FGD GFJK EGFKK LFJE

-WX,GQK =HFKH =FLK GFLC EHFIJ LFKL

-,K-G,K CJFIJ =FI= GFHC LDFIG EFHI

-QLKGWK CEF=I =F=L EFLC IEFKE EFCD

-QKXGKK CIFHC =F== EFII IHFL= EF=C

-X-FGHK C=FHK CFKD LFLJ DIFKI EFDH

-XW,GFK CHFDH CFGK LFCK =KFGL EFDK

?L?-G?K JFG= CFLJ IFLJ =LFCJ EFIJ

?L,KG-K GF=J CFII IFCE =CFH= EFLE

?-?XGLK EFHE CF== DFLI CGFIJ EFEL

?-Q?GXK IFKH CFCE DFDL CIFCD EFGI

??FWGQK DFJI CFHG DFHK CCFHI EFJD

??XLG,K =FEJ CFCE DFDL GFEK EFKC

?FHHGWK CFGD HFKE =FGG IFKD GFHH

IK

Page 50: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

B=:@

<=>:?@

<=>:?@

T=:FU"@

VM'.=:FU"@

'=A@

?FXQGKK CFCH HFED CFJD DFCH GFHK

?HK?GHK HFGH HFDK CFCI CFKE GFCJ

?KLWGFK HFID HF=G HFGK CFCG GF=E

?KWLG?K HF=D HF=C HFLK HFLJ GFDL

?W-HG-K HFHK HFCI HFIH HFCJ GFII

?WWQGLK HFHD HFHE HFCJ HFHH GFLD

5"***5,0 tcn ii ' CHFID 88W,

6,3niAq

t

iiqtQ

0

)(

Y( 2348" 1 A 01.1" 5.(5"(.1" 5"8$ 4( 1$82" !4 5"334#.-4"*$ !4#40" (. !4??$3$*-. 13. ,8.Z $ ,84*

!$( <.54*" $ 04 "114$*$ )* #.("3$ 2.34 . HFHHCEF 4( 0$5"*!" 1 A 01.1" 5.(5"(.1" 5"8$%

1 ' HFHHCE6,= ,C9

[.( 0)55$004#" 4* 2"4 4( #.("3$ !4 1 04 "114$*$ !.( 23$5$!$*1$ 4*53$8$*1.1" !4 1B

0

50

100

150

200

250

300

350

400

450

0,1 0,4 0,9 1,3 1,8 2,2 2,6 3,1 3,5 3,9 4,4 4,8 5,3 5,7 6,1 6,6 7,0 7,4

t [h]

Q(t)

[m3 /s

]

Figura 7.2 Idrogramma di piena per l’evento considerato.

LH

Page 51: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

-7. S*"'$1)&*+# 6#00* &#'*4$(::( 6& 3$*4#''*

&. 23$54241.-4"*$ !4 23"+$11" 0) 5)4 A 01.1" 5"013)41" (R4!3"+3.88. *"* 5"0141)405$ )*.

23$54241.-4"*$ 3$.($ 8. A (" 4$1"+3.88. \S,45.+"] 5"* 2455" 5$*13.($ 5"* 34?$348$*1" .((.

5)3#. !4 23"<.<4(41X 2()#4"8$1345. 34?$341. .((. 01.-4"*$ !4 M"34*"F 2$3 M'LH .**4B Y( 1$82"

<.0$ !$((R$#$*1" A 01.1" 05$(1" 2.34 .( 1$82" !4 5"334#.-4"*$ 615 ' DFGI ,9 !$( <.54*" 5,4)0" .

M3.*.: (R4*1$3#.((" !4 5.824"*.8$*1" A 01.1" 05$(1" 4* 8"!" 5,$ "+*4 !4#$30. 4*1$*041X

!$((R$#$*1" 5"23400$ )* 1$82" 5"33402"*!$*1$ . @)$((" !4 !)$ (4*$$ 40"5"334#$ !$( <.54*"

4*!4#4!).1$ 0$5"*!" 4( - ?400.1" *$((R.*.(404 !$(($ 23$5$!$*14 $0$3541.-4"*4 0)((" 01$00" <.54*"B

9(7#00( ,P? S"0134-4"*$ !$((" 4$1"+3.88. !4 23"+$11" 0)((. SSU !4 M"34*" 6M'LH .**49B

6 =A@ A6 =::@ A6KL =::@ & =::UA@

HFCGH CJFK= DLFKK =CCFELHFDIH ==FIJ I=FGG DKFJKHFLCH =IFJG IGFDC =EFGDHFEJH =EFG= LHFJD =HFEGHFJLH =JF=I LDFGI CGFHKCFH=H =KFLE LEF=D CIFEJCFCKH DHFGC LJFID C=FKLCFDEH DCFGL EHFIC CCFE=CFLDH D=FGH E=F=C CHFLJCFGHH DDFLG EDFJE KFGDCFJGH DIFDG ELFIH KFH==FHIH DLFCD EEFJD JFID=F=CH DLFJD EJFCJ GFK==FDJH DEFLH EKFIL GFIG=FLLC DGFCI GHFEL GFHJ=FG=C DGFGI GCFGK EFGD=FJKC DJFDC G=FJK EFI=DFHEC DJFJE GDFKD EFCLDF=DC DKFDK GIFKD LFKHDFIHC DKFJK GLFKH LFEGDFLGC IHFDJ GEFJD LFIEDFGIC IHFJL GGFG= LF=G

Y #.("34 345.#.14 !4 .(1$--$ !4 24"++4. $ !4 4*1$*041X 6M.<$((. GBC9 3$(.14#$ .(($ !4#$30$ !)3.1$

0"*" 01.1$ 345.#.1$ 8$!4.*1$ (. 3$(.-4"*$

1)( nT daKdh

5"* ^M ' CFKH=L ?.11"3$ !4 53$0541. 3$(.14#" .( 2$34"!" !4 341"3*" !4 LH .**4F . ' =KFIC $ * '

HF=IKC 2.3.8$134 !$((. 3$+3$004"*$ #.()1.14 *$((RT0$3541.-4"*$ D 0)4 !.14 !$((. 01.-4"*$ !4

M"34*"B

LC

Page 52: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

H

LH

CHH

CLH

=HH

=LH

DHH

DLH

IHH

HFHKHF=EHFIIHFECHFGKHFKECFCICFDCCFIKCFEECFJI=FHC=FCK=FDE=FLI=FGC=FJKDFHEDF=IDFICDFLKDFGE

! _,`

4_88W,`

R&41$( ,PF Y$1"+3.88. !$((. 23$54241.-4"*4 5"* M' LH .**4B

H

LH

CHH

CLH

=HH

=LH

DHH

DLH

IHH

HFHKHF=EHFIIHFECHFGKHFKECFCICFDCCFIKCFEECFJI=FHC=FCK=FDE=FLI=FGC=FJKDFHEDF=IDFICDFLKDFGE

! _,`

4_88W,`

R&41$( ,PH Y$1"+3.88. !$((. 23$54241.-4"*4 5"* M' LH .**4B

&" 4$1"+3.88. 5"0a 23"!"11" 5"0141)405$ 5"0a (R$#$*1" !4 23$54241.-4"*$ !. 5)4 #$33X

0"(($541.1" 4( <.54*" 23$0" 4* $0.8$B

L=

Page 53: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

?7. S*"'$1)&*+# 6#00N&6$*4$(::( 6& 3&#+(

;$ 04 05$+(4$ 4( 8$!$048" 4*1$3#.((" 1$82"3.($ 1 2$3 (. !4053$14--.-4"*$ !$((" 4$1"+3.88.

!4 23"+$11" !$((. 24"++4. 04. !$((R4!3"+3.88. )*41.34" b> 1 23"!"11" !. )*. 24"++4. !4 .(1$--.

)*41.34. $ !4 !)3.1. .*5"3. 1 04 ,. 5,$%

4* A (R4*1$*041X 8$!4. !4 24"++4. *$((R4*1$3#.((" !4 1$82" 5"823$0" 13. +(4 401.*14 67 C9 1 $

7 1 5"* 7 ' CF BBBF 8:

(. !)3.1. !$((. 24"++4. A 12 ' 8 1:

* *)8$3" !4 4*1$3#.((4 !4 !4053$14--.-4"*$ !$((. 5)3#. .3$$ 1$824B

S4 04 .11$*!$ 5,$ (R4*1$3" 4$1"+3.88. !4053$14--.1" +$*$34 )* 4!3"+3.88. 5"* 1$82" !4 <.0$

2.34 . 15c12 ' 6*c89 1

;4 5.(5"(.*" 2"4 +(4 4!3"+3.884 d7619 +$*$3.14 !. 54.05)*" 4$1"+3.88. $($8$*1.3$

5"01.*1$ !4 24"++4. *$11. 47619B U$3 (4*$.341X !$( 0401$8. (R4!3"+3.88. 1"1.($ 04 "114$*$ 2$3

0"#3.22"04-4"*$ !$+(4 $??$114

11

)( mn

m

nnm iAtQ

5,$ 13.053411. 4* ?"38. 8.13454.($ !4#$*1.

mn

mn

mn

n

n

n

m

m

n

nn

n

nn

nnn

QQQ

QQQ

QQQ

ii

iii

AAA

AAAAAA

AAAAA

A

1

2

2

1

3

2

1

1

3

2

1

1

1

21

123

12

1

000000000

000

000

000000000

LD

Page 54: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

0

100

200

300

400

500

600

700

800

0,09

0,53

0,96

1,40

1,84

2,28

2,71

3,15

3,59

4,03

4,46

4,90

5,34

5,78

6,21

6,65

7,09

7,53

t [h]

Q [m

3 /s]

R&41$( ,PK Y!3"+3.88. !4 24$*. 340)(1.*1$ !.((/$#$*1" 5"*04!$3.1"B

&. 2"31.1. 8.0048. 2.34 . WWXGKH :FU" 04 3$+4013. . =FCH "3$ !.((R4*4-4" !$((R$#$*1" !"2" 5435.

CH 84*)14 !.((R401.*1$ 4* 5)4 04 3$+4013. 4( 2455" !4 23$54241.-4"*$B

F7. Y(33$#"#+'()&*+# 6#00NZ[C %&+#:('&%* 6& 7(%&+* # 6#00NZ[C 6& /("A

&R4!3"+3.88. )*41.34" 401.*1.*$" 3.223$0$*1. (. 3402"01. !$( 0401$8. /0'1 654"A

(R4!3"+3.88. !4 24$*.9 5"*0$+)$*1$ .! )*. 23$54241.-4"*$ *$11. !4 #"()8$ )*41.34" $ !4

!)3.1. 4*?4*41$048. 6$ 5"*0$+)$*1$8$*1$ !4 4*1$*041X 4*?4*41.9 .#$*1$ 54"A ($ 5.3.11$340145,$

!4 )*. 4884004"*$ 482)(04#.B b* 4*2)1 !4 @)$01" +$*$3$ #4$*$ 4*!45.1" 5"8$ !$(1. !4 [43.5 $!

,. ($ 0$+)$*14 5.3.11$340145,$%

0)(t 2$3 1 H

0

0

1)( dtt U$3 1 ' H

["#$*!" #.($3$ (R$@).-4"*$ !4 5"*14*)41X 6#"()8$ 5"82($004#" !4 24"++4. *$11. ' #"()8$

!$?()$*1$9 !$#$ $00$3$ %

1)( dtth

LI

Page 55: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

54"A (R.3$. 0"11$0. !.((R Yb> !$#$ .#$3$ #.("3$ )*41.34" $ 2$31.*1" ,619 ,. 5"8$ !48$*04"*$

(R4*#$30" !4 )* 1$82"B &R.05400. !$( <.345$*13" !$((RYb> 3.223$0$*1. 4*#$5$ 4( 5"04!!$11"

1$82" !4 341.3!" !$( <.54*"B

0,00

0,01

0,02

0,03

0,04

0,05

0,06

0,07

0,09

0,35

0,61

0,88

1,14

1,40

1,66

1,93

2,19

2,45

2,71

2,98

3,24

3,50

3,76

t [h]

h(t)

R&41$( ,PW Yb> 54*$8.145" 2$3 4( <.54*" 5"*04!$3.1"B

Y( 8"!$((" !4 e.0, A $@)4#.($*1$ .! )*. 5.05.1. !4 + 0$3<.1"4 (4*$.34 !4 4!$*145. 5"01.*1$ !4

$0.)348$*1" 2B e$( 8"!$((" !4 4*#.0" (4*$.3$ . !4??$3$*-. !$( 8"!$((" 54*$8.145"

(R$#"()-4"*$ !$( <.54*" !42$*!$ !.((. @).*141X !4 23$54241.-4"*$ 23$0$*1$ *$((R4*#.0"B &.

?)*-4"*$ Yb> !4 e.0,F "11$*)1. !.((. 5"8<4*.-4"*$ !4 * 4*#.04 4* 0$34$ .00)8$ (. ?"38.

kt

n

ekt

nkth

/1

)!1(1

)(

5"* * $ 7 2.3.8$134 3$.(4 !$((RYb> !4 e.0,B T00$*!" 4( ?.11"34.($ !$?4*41" 0"(.8$*1$ 2$3 *)8$34

4*1$34 (R$@).-4"*$ 2)f .*5,$ $00$3$ 34053411. 5"8$

kt

n

ekt

nkth

/1

)(1

)(

S"* 6*9 ?)*-4"*$ !$?4*41. 5"8$

0

1)( dxexn xn

23$0$*1$ 0) ?"+(4" TZ5$( 5"8$ ;<\\<E/M.

LL

Page 56: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

U$3 (. 0148. !$4 2.3.8$134 !$((RYb> !4 e.0, 04 2)f 2.3143$ !.(($ "00$3#.-4"*4 0)((.

23$54241.-4"*$ *$11. $ 0)(($ 5"33402"*!$*14 2"31.1$ .((. 0$-4"*$ !4 5,4)0)3.B U$3 ?.3$ 54f 04

345"33$ .( 8$1"!" !$4 8"8$*14 5,$ 5"*0401$ *$((R$+).+(4.3$ 4 8"8$*14 .11"3*" .((R.00$ !$(($

"3!4*.1$ !$((R)0541. "00$3#.1. $ !4 @)$((. 048)(.1. 340)(1.*1$ !.((. 5"*#"()-4"*$ !$((R4*+3$00"

5"* (RYb>B

22

211

2

21

'')(ISIS

HH

n11

22

1

2 '''ISIS

HH

k

Y 8"8$*14 !4 2348" $ 0$5"*!" "3!4*$F 4 5)4 #.("34 !4 0"88.1"34. 0"*" 23$0$*1.14 4* 1.<$((.

GBDF 0"*" 2.34 .%

H1 H2 I1 I'2 S1 S'2 1,20 0,67 1,93 54,42 3,12 55,09

Y 2.3.8$134 !$((. !40134<)-4"*$ !4 e.0, 2$31.*1" 340)(1.*" 340)(1.*14

+ J ?G-H

> J LGKW

&R4!3"+3.88. )*41.34" 401.*1.*$" !4 e.0, A 01.1" 5"0a !4.+3.88.1" 6g4+)3. GBG9 $

5"*?3"*1.1" 5"* (RYb> 54*$8.145" 6g4+)3. GBJ9

0

0,01

0,02

0,03

0,04

0,05

0,06

00,1

80,3

50,5

30,7

00,8

81,0

51,2

31,4

01,5

81,7

51,9

32,1

02,2

82,4

52,6

32,8

02,9

83,1

53,3

33,5

03,6

8

t [h]

h(t)

R&41$( ,P, Yb> !4 e.0, 2$3 4( <.54*" 5"*04!$3.1"B

LE

Page 57: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

0,00

0,01

0,02

0,03

0,04

0,05

0,06

0,07

0,09

0,35

0,61

0,88

1,14

1,40

1,66

1,93

2,19

2,45

2,71

2,98

3,24

3,50

3,76

t [h]

h(t)

R&41$( ,PQ S"*?3"*1" 13. Yb> 54*$8.145" $ Yb> !4 e.0,B

LG

Page 58: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,-----------------------------------------------------------------------------------------------------------------

LJ

9(7#00( ,PF S.(5"(" !$4 8"8$*14 !$((RYb> 54*$8.145"B

' =A@ <& <&U<'*' 8M'. 'O<&U<'*' M' '$.?OAM'. M' '$.?

HFHK DFEGGL HFH=EK HFH=EK HFHH=I HFHDDC DFDGGDHFCJ GFIKGL HFHLIJ HFHJCG HFHHKE HFHLGD DFHEDDHF=E JF==LH HFHEH= HFCICK HFHCLJ HFHL=E =FGEIEHFDL LFGCGL HFHICJ HFCJDG HFHCIE HFHDHH =FIJCDHFII LFJHGL HFHI=L HF==E= HFHCJE HFH=IL =F=CD=HFLD EF=GHH HFHILK HF=G=C HFH=IC HFH=HG CFKEHLHFEC EFCDHH HFHIIJ HFDCEK HFH=GL HFHCLD CFG=DCHFGH LFKLGL HFHIDE HFDEHL HFHDHL HFHCHJ CFLHCHHFGK EFHCGL HFHIIH HFIHIL HFHDIG HFHHGI CF=KI=HFJJ LFJC=L HFHI=L HFIIGC HFHDG= HFHHII CFCH=JHFKE LFLI=L HFHIHL HFIJGE HFHDKH HFHH== HFK=EECFHL LF=CLH HFHDJC HFL=LJ HFHIHC HFHHHJ HFGELJCFCI IFKHLH HFHDLK HFLECE HFHIHJ HFHHHC HFE=HDCF=D IFE=LH HFHDDJ HFLKLL HFHICL HFHHHH HFIKHCCFDC IFLCLH HFHDDH HFE=JL HFHIDI HFHHHI HFDGLDCFIH IFHKLH HFHDHH HFELJL HFHICK HFHHC= HF=GLGCFIK DFKCGL HFH=JG HFEJGC HFHI=E HFHH=I HFCKCLCFLJ DFE=HH HFH=EL HFGCDE HFHICG HFHHDJ HFC==LCFEE DFIILH HFH=L= HFGDJJ HFHICK HFHHLL HFHEJKCFGL DFIJLH HFH=LL HFGEID HFHIIE HFHHGJ HFHDHECFJI =FKK=L HFH=CK HFGJE= HFHIH= HFHHKH HFHHGGCFKD =FJJ=L HFH=CC HFJHGD HFHIHE HFHCC= HFHHHH=FHC =FG=LH HFHCKK HFJ=G= HFHIHC HFHCDD HFHHGG=FCH =FLK=L HFHCKH HFJIE= HFHDKJ HFHCLL HFHDHE=FCK =FI=HH HFHCGG HFJEDK HFHDJG HFHCGI HFHEJK=F=J =F=IGL HFHCEI HFJJHD HFHDGI HFHCKC HFC==L=FDE =F===L HFHCED HFJKEE HFHDJI HFH==C HFCKCL=FIL CFK=GL HFHCIC HFKCHG HFHDIE HFH==C HF=GLG=FLI CFGKHH HFHCDC HFK=DJ HFHDD= HFH=DL HFDGLD=FED CFLJHH HFHCCE HFKDLD HFHDHD HFH=DE HFIKHC=FGC CFIDLH HFHCHL HFKILJ HFH=JL HFH=IC HFE=HD=FJH CF===L HFHHJK HFKLIJ HFH=LH HFH=DH HFGELJ=FJK CFCLLH HFHHJI HFKED= HFH=II HFH=IC HFK=EE=FKJ CFHEGL HFHHGJ HFKGCH HFH=D= HFH=IG CFCH=JDFHE CFCLLH HFHHJI HFKGKL HFH=LK HFH=KI CF=KI=DFCL HFKLLH HFHHGH HFKJEL HFH==H HFH=EE CFLHCHDF=I HFEDHH HFHHIE HFKKCC HFHCIK HFHCK= CFG=DCDFDD HFDK=L HFHH=K HFKKDK HFHHKL HFHCDH CFKEHLDFIC HF=G=L HFHH=H HFKKLK HFHHEJ HFHHKJ =F=CD=DFLH HF=HLH HFHHCL HFKKGI HFHHL= HFHHJH =FIJCDDFLK HFCDGL HFHHCH HFKKJI HFHHDE HFHHLG =FGEIEDFEJ HFHE=L HFHHHL HFKKJK HFHHCG HFHH=J DFHEDDDFGE HFH=LH HFHHH= HFKKKC HFHHHG HFHHC= DFDGGD

Page 59: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,___________________________________________________________________________

!"#$%&'()&*+# ,!"#$%"&'()* +*##,')-'#%."&'()* /() '# 0*%(+( +' 1.**) "02%

!" #$"%" &'(()'#'*$+,-.+"/' 0 (- *-%%*'#'/,-.+"/' &'(()+/1+(,*-.+"/' ' &'( &*'/-22+" &+ %+"22+-&+ &3' &+11'*'/,+ '4'/,+ 5','"*+$+ #3 3/ ,'**'/" (+5"#" ' $-*-,,'*+..-," &- 67-8'((- 9:;<=

-(.#//( ,01 >-*-,,'*+#,+$?' &'( ,'**'/"

' @AB9C

1 D55E ;CCA9

F#-, D55G?E CAH

I-,3*-.+"/' '11',,+4- J@K

LMNOP >QIP

L+"22+- $"/ +/,'/#+,R $"#,-/,' %-*+ - B@55G? ' &+ &3*-,- B "*':>"/ +( 5',"&" &+ S*''/ Q5%, #+ 0 $-($"(-," =

+( ,'5%" &+ %"/&+/2 6,%<=

T"4'=

+( 4"(35' +/1+(,*-," '/,*" +( ,'5%" &+ %"/&+/2 6U%<=

(- #'V3'/.- &'+ &'1(3##+ #3%'*1+$+-(+ &6,<A '#%*'##+ +/ 55G?A '& + $"**+#%"/&'/,+ ,-##+'11',,+4+ &+ +/1+(,*-.+"/' 16,< 1+/" -( ,'*5+/' &'((- %*'$+%+,-.+"/':

L'* +( $-($"(" &'+ 4-("*+ &'+ &'1(3##+ #+ &'4' %-*,+*' &-( $-($"(" &'+ 4"(35+ U+A '& '##'/&"3/- 13/.+"/' &- *+#"(4'*' /35'*+$-5'/,' #+ &'4' +,'*-*' + *+#3(,-,+ &+ U+ 1+/" -& -**+4-*' -$"/4'*2'/.-:

>"5' %*+5" ,'/,-,+4" #+ +%",+..- U W ' $"/ (' #3$$'##+4' J@ +,'*-.+"/+ #+ ",,+'/' +(4"(35' &"4' (- &+11'*'/.- ,*- + 4-("*+ &'((' #3$$'##+4' +,'*-.+"/+ 0 5+/+5"A ' $"5' ,'5%"#+ $-($"(- "2/+ @AXH ? 6,-8'((- 9:X<=

59

Page 60: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,___________________________________________________________________________

-(.#//( ,02 Y-("*+ &+ U -((- ,*'/,'#+5- +,'*-.+"/' -+ &+11'*'/,+ ,

' 345 678 3995

@A@@ @A@@@@AXZ ;;A@;@@AH@ X;ABX[@AZH XCA9Z9;A@@ J;ACHC;AXH JCA@@9;AH@ B@A@H9;AZH BJA99;XA@@ BZAHXBXAXH H;A@X;XAH@ HBAJ[CXAZH HZACCZJA@@ C@A9B9JAXH CJA[H;JAH@ CCA[9HJAZH C[A[HCBA@@ ZXA9ZJ

\/- 4"(,- ,*"4-,+ + 4-("*+ &+ U 0 %"##+8+(' *+$-4-*' ()+/1+(,*-.+"/' 61< ' +( &*'/-22+" 6&<6,-8'((-9:JA 1+23*- 9:;<=

-(.#//( ,07 Y-("*+ &+ +/1+(,*-.+"/' ' &*'/-22+" -+ &+11'*'/,+ ,

' 345 678 3995 : 399;45 < 399;45

@A@@ @A@@@ B@A@@@ @A@@@@AXZ ;;A@;@ B@A@@@ @A@@@@AH@ X;ABX[ XJAZ;X ;CAX99@AZH XCA9Z9 X@AXXJ ;[AZZZ;A@@ J;ACHC ;9A;HX X;A9B9;AXH JCA@@9 ;CAZBJ XJAXHZ;AH@ B@A@H9 ;HAZ@9 XBAX[X;AZH BJA99; ;BA[@C XHA@[BXA@@ BZAHXB ;BAXC; XHAZJ[XAXH H;A@X; ;JAZX[ XCAXZ;XAH@ HBAJ[C ;JAX9; XCAZ;[XAZH HZACCZ ;XA9[C XZA;@BJA@@ C@A9B9 ;XAHCX XZABJ9JAXH CJA[H; ;XAXC9 XZAZJXJAH@ CCA[9H ;XA@@C XZA[[BJAZH C[A[HC ;;AZZX X9AXX9BA@@ ZXA9ZJ ;;AHC; X9ABJ[

60

Page 61: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,___________________________________________________________________________

6&=>$( ,01 S*-1+$" &+ +/1+(,*-.+"/' ' &*'/-22+" -+ &+11'*'/,+ ,

@

H

;@

;H

X@

XH

J@

JH

B@

BH

@A@@

@AXZ

@AH@

@AZH

;A@@

;AXH

;AH@

;AZH

XA@@

XAXH

XAH@

XAZH

JA@@

JAXH

JAH@

JAZH

BA@@

99;4

4

&*'/-22+"

+/1+(,*-.+"/'

I]>P^TP >QIP

L+"22+- ,*+-/2"(-*' $"/ +/,'/#+,R +W6 B@ ;@ ,<_ (- &3*-,- &'(() '4'/," 0 &+ B "*' 61+23*- 9:X<:

@

H

;@

;H

X@

XH

J@

JH

B@

BH

@ @AJ @AC @A[ ;AX ;AH ;A9 XA; XAB XAZ J JAJ JAC JA[

99;4

4

+/,'/#+,R

6&=>$( ,02 N/,'/#+,R &+ %+"22+- ,*+-/2"(-*'

L'* V3'#," $-#"A +( ,'5%" &+ %"/&+/2 &'4' '##'*' &','*5+/-," /35'*+$-5'/,'$"/1*"/,-/&"A - +/,'*4-((+ *-44+$+/-,+A +( 4"(35' &+ %*'$+%+,-.+"/' $"/ +( 4"(35' &+ +/1+(,*-.+"/'&+%'/&'/,' &-((- $"/&+.+"/' &+ %"/&+/2 1$ W +:

61

Page 62: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,___________________________________________________________________________

L'* &','*5+/-*' (- $3*4- 16,< 0 /'$'##-*+" %*+5- $-($"(-*' + 4-("*+ &'( 4"(35' U +/ 4-*+ +#,-/,+&+ ,'5%"A %'* ()'#'*$+,-.+"/' #+ 0 #$'(," +/,'*4-((+ &+ C 5+/3,+A $"/ (- 1"*53(-=

I3$$'##+4-5'/,' 0 %"##+8+(' ,*"4-*' ()+/1+(,*-.+"/' 1=

M-%%*'#'/,-/&" #3 3/" #,'##" 2*-1+$" #+- ()+/,'/#+,R &+ %+"22+- $?' () +/1+(,*-.+"/' 1 0 %"##+8+('/",-*' X %3/,+ &+ +/,'*#'.+"/' ,*- + &3' 2*-1+$+: N( %*+5" +/&+$- +( ,'5%" &+ %"/&+/2 6,%<A ' +(#'$"/&" 0 &"4' +( 4-("*' &+ +/,'/#+,R &+ %+"22+- 0 5+/"*' &'(() +/1+(,*-.+"/' %'* $3+ ,3,,- (-%*'$+%+,-.+"/' $-&3,- 4+'/' -##"*8+,- &-( ,'**'/" 61+23*- 9:J<:

@

;@

X@

J@

B@

H@

C@

Z@

9@

[@

;@@

@A; @AB @AZ ; ;AJ ;AC ;A[ XAX XAH XA9 JA; JAB JAZ B

99;4

4

+/,'/#+,R

+/1+(,*-.+"/'

6&=>$( ,07 S*-1+$" &+ +/1+(,*-.+"/' ' +/,'/#+,R &+ %+"22+- -+ &+11'*'/,+ ,

S*-1+$-5'/,' + %3/,+ $*+,+$+ #"/"=,'5%" &+ %"/&+/2 %-*+ - @AJ ? - $3+ $"**+#%"/&' 1 W JZA@; 55G? ' /'( #'$"/&" %3/," &++/,'*#'.+"/' 0 -( ,'5%" XAC ? ' #+ ?- 3/ 4-("*' &+ 1 %-*+ - ;BAC[ 55G?:L'* +( $-($"(" &'+ 4-("*+ &'+ &'1(3##+A $"5' %'* +( $-#" %*'$'&'/,'A #+ &'4' %-*,+*' &-( $-($"("&'+ 4"(35+ U+A '& '##'/&" 3/- 13/.+"/' &- *+#"(4'*' /35'*+$-5'/,' #+ &'4' +,'*-*' + *+#3(,-,+&+ U+ 1+/" -& -**+4-*' - $"/4'*2'/.-:

62

Page 63: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,___________________________________________________________________________

63

>"5' %*+5" ,'/,-,+4" #+ +%",+..- U W ' $"/ (' #3$$'##+4' J@ +,'*-.+"/+ #+ ",,+'/' +( 4"(35'&"4' (- &+11'*'/.- ,*- + 4-("*+ &'((' #3$$'##+4' +,'*-.+"/+ 0 5+/+5"A ' $"5' ,'5%" #+ $-($"(-"2/+ @A;@ ?:\/- 4"(,- ,*"4-,+ + 4-("*+ &+ U 0 %"##+8+(' *+$-4-*' ()+/1+(,*-.+"/' 61< ' +( &*'/-22+" 6&< 61+23*-9:B<=

@

H

;@

;H

X@

XH

J@

JH

B@

BH

@ @AJ @AC @A[ ;AX ;AH ;A9 XA; XAB XAZ J JAJ JAC JA[

99;4

4

&*'/-22+"

+/1+(,*-.+"/'

6&=>$( ,0? S*-1+$" &+ +/1+(,*-.+"/' ' &*'/-22+" -+ &+11'*'/,+ ,

Page 64: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,----------------------------------------------------------------------------------

!"#$%&'()&*+# ,-./-0/0 1!//2!3.4056.7486.980:! -0: 8/ ;!5010 <.0

.(/0'($# %*+ /( 1*$20/( 3& 456 7#+2(+ 8*+'#&'9 /:#;(<*'$("<&$()&*+# 3& $&1#$&2#+'* (=*$&+* > ? "0//( @("# 3#//# %*+3&)&*+& 2#'#*$*/*A&%9# *3&#$+# >=2(B CDEF G=2&+ CDEFG7CH7(FG 0I C2J"F?K

L/ 2#'*3* 3& 7#+2(+ 8*+'#&'9 M @("('* "0//( 1*$20/( $&<*$'('( 3& "#A0&'*N

O( 1*$20/( "& $&1#$&"%# (3 0+( "0<#$1&%&# ;#A#'('( &3#(/# (3#A0('(2#+'# &$$&A('(G %*+ <&(+'&+#(/'# PI %2G $#"&"'#+)( "0<#$1&%&(/# 3& QR " 2 P # (/@#3* <($& ( RGISKO# ;($&(@&/& %*&+;*/'# "*+*N

!=R #;(<*'$("<&$()&*+# 3& $&1#$&2#+'*= '#2<#$('0$( 2#3&( A&*$+(/&#$(0I ;#/*%&'T 3#/ ;#+'*U+ $(3&()&*+# +#''(

3#%/&+()&*+# "*/($#V 1/0""* 3& %(/*$# +#/ "0*/*#" '#+"&*+# 3& ;(<*$# "('0$* 2#3&(#( '#+"&*+# 3& ;(<*$# #11#''&;(

%*"'(+'# <"&%$*2#'$&%(

7$*%#30$( 3& %(/%*/*N

P? !"#$%&$' (#)*+",'$+)*%N M 10+)&*+# 3#/ %(/*$# "<#%&1&%* # 3#//( <$#""&*+# ('2*"1#$&%(K W&%(/%*/( (''$(;#$"* /( 1*$20/(N

X*;# 7 $(<<$#"#+'( /( <$#""&*+# ('2*"1#$&%( CH7(FG &/ %(/*$# /('#+'# 3& #;(<*$()&*+#C8Y HA PFG %< &/ %(/*$# "<#%&1&%* ( <$#""&*+# %*"'(+'#G #3 &/ $(<<*$'* '$( <#"* 2*/#%*/($#3& ;(<*$ 3:(%Z0( # Z0#//* 3#//:($&( "#%%(KO( <$#""&*+# ('2*"1#$&%( 7 M /( <$#""&*+# $&%(;('( 3(/ <#"* 3#//:('2*"1#$( '#$$#"'$#K

[\

Page 65: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,----------------------------------------------------------------------------------

I? &#)"&' -) .%("+' #%$/+"N (02#+'( (//:(02#+'($# 3#//( '#2<#$('0$( 3#//:($&(K !:0'#"<$#""( 3(//( 1*$20/(N

*;# = $(<<$#"#+'( /( '#2<#$('0$( 3#//:($&( CEDFK

<&=>$( ,?@ =#+"&*+# 3& ;(<*$# (%Z0#* (/ ;($&($# 3#//( '#2<#$('0$(

S? '&#)"&' -) .%("+' #%$/+" ,'-)%N $(<<$#"#+'( /( 2#3&( '$( &/ ;(/*$# 3& '#+"&*+# 3& ;(<*$#

X

0"('0$* %(/%*/('* ( =2(B # Z0#//* %(/%*/('* ( =2&+G (''$(;#$"* /( 1*$20/(N

\? '&#)"&' -) .%("+' '11'$$).%N $(<<$#"#+'( &/ /( <$#""&*+# 3& ;(<*$# 3#$&;(+'# 3(//:(%Z0(0<$#"#+'# +#//:($&(K 70] #""#$# %(/%*/('( (''$(;#$"* /( 1*$20/(N

<<0$# 3(//( 1*$20/( "# M 3&"<*+&@&/# /:02&3&'T $#/('&;(%#""($&( <#$ $(11$#33($# /:($&( (

^? '#+"&*+# 3&

6>=3#_ ` '#2<#$('0$( +# 11&+%9a 3&;#+'& "('0$(?K

' -) .%("+ #%$/+"N $(<<$#"#+'( /( <#+3#+)( 3#//( %0$;( $#/('&;( (//(2+%-)'&$;(<*$# "('0$* &+ 10+)&*+# 3#//( '#2<#$('0$( >1&A0$( ,KP?K

[^

Page 66: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,----------------------------------------------------------------------------------

[? 34/##" -) *%4"+' &'4 #/"4"N #+#$A&( %9# ;&#+# 0'&/&))('( <#$ $&"%(/3($# &/ "0*/*G %*+"&3#$('(&+ Z0#"'* %("* <($& ( R C8Y 2 I 3(b PFK

<&=>$( ,?A D*2<*+#+'& 3#//( $(3&()&*+# "*/($#

7#$ &/ %(/%*/* 3#//( $(3&()&*+# +#''( @&"*A+( <$&2( 3& '0''* %(/%*/($# /( $(3&()&*+# +#''((3 *+3( %*$'( # Z0#//( ( /# "#A0#+'& 1*$20/#N

*;#N ` RGIS (/@#3* 3#//( "0<#$1&%&#cU" ` QG,^Q $(3&()&*+# A/*@(/# >3&<#+3# 3(N %*#11&%&#+'& 3& 7$#"%*''G *$# 3&

&+"*/()&*+# #11#''&;( # $(3&()&*+# #B'$( ('2*"1#$&%(?c$ /( +0;*/*"&'T >3&<#+3# 3(N $(3&()&*+#

` \G, PR , /')2(++ C8Y d \ 2 I 3(b PFc= ` \G^^ ED 3( ;(/0'($# &+ A$(3& d#/;&+K

Q? 5%-)%6)"&' &'$$%N M /( 3&11#$#+)( '$( /( $(3&()&*+# <$*;#+&#+'# 3(/ %&#/* # Z0#//( &+ ($$&;*3(//( "0<#$1&%&# &+ #"(2#K

*+3( /0+A(G 3#1&+&'# $&"<#''&;(2#+'# 3(/

X

1 ` RGe,\ 1(''*$# 3& %*$$#)&*+# <#A/*@(/#G $(3&()&*+# A/*@(/# &+ %*+3&)&*+& 3& %&#/* /&2<&3* #%*#11&%&#+'& (% # @%?c

: ` RGRQ^ #2&""&;&'T +#''( >3&<#+3# 3(N '#+"&*+# 3& ;(<*$# #11#''&;( #'#2<#$('0$( 2#3&( A&*$+(/&#$(?c%*"'(+'# 3& W'#1(+ f*

[[

Page 67: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,----------------------------------------------------------------------------------

X*<* (;#$ %( & Z0%(/%*/($# /:#;(<*'$("<&$()&*+

/%*/('* '0'' #"'& ;(/*$&G # "*"'&'0#+3* +#//( 1*$20/( <$&+%&<(/#G M <*""&@&/##N

!/(@*$(+3* & 3('& *''#+0'&G "& <*""*+* $&%(;($# (/%0+& A$(1&%& $&<*$'('& 3& "#A0&'*N

.($&()&*+# 3#//:#;(<*'$("<&$()&*+# (//:(02#+'($# 3#//# ;#/*%&'T 3#/ ;#+'*N

5(B#CC( ,?@ .(/*$& 3& !=R &+ %*$$&"<*+3#+)( 3& (/%0+# ;#/*%&'T 3#/ ;#+'*

>A !5

RGQ PGRPPP PGPP^

I PG\RR

S PG[IR\ PGeRR^ PG,\R

PR IGSQR

IR IGQSP

\R IG,eR

<&=>$( ,?D 5+3(2#+'* 3& !=R &+ 10+)&*+# 3#//( ;#/*%&'T 3#/ ;#+'*

R

RG^

P

PG^

I

IG^

S

SG^

R ^ PR P^ IR I^ SR S^ \R \^

!5EF

FGHI

J#C*%&'K J#+'* EFG"I

[Q

Page 68: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,----------------------------------------------------------------------------------

.($&()&*+# 3#//:#;(<*'$("<&$()&*+# (/ ;($&($# 3#//:02&3&'T $#/('&;(N

5(B#CC( ,?A .(/*$& 3& !=R &+ %*$$&"<*+3#+)( 3& (/%0+# 02&3&'T $#/('&;#

6L +>F A +>F@ !5

RGR^ RGPI^ RGReI RGSRGP RGPPe\ RGRS, RG^^RGI RGPR^ RGRRQQ RGQ,RGS RGR,I RGRSQ^ RG,RG\ RGRQ, RGR^, RG,QRG^ RGR[[ RGRQQ PRG[ RGR^S RGR,S PGRPRGQ RGRS,\^ RGPR^ PGRPRGe RGRI[S RGPPQ PGRPRG, RGRPSP^ RGPIQ^ PGRIP R RGPS[eP PGRS

R

RGI

RG\

RG[

RGe

P

PGI

R R P PGI

!5EF

FGHI

6L

GI RG\ RG[ RGe

<&=>$( ,?M 5+3(2#+'* 3& !=R &+ 10+)&*+# 3#//:02&3&'T $#/('&;(

[e

Page 69: ESERCITAZIONI DI IDROLOGIA · corso di laurea in ingegneria civile idrologia a.a. 2010 – 2011 esercitazioni di idrologia docente: prof. _____ esercitatore: ing. _____ studenti

!"#$%&'()&*+# ,----------------------------------------------------------------------------------

[,

D*+1$*+'* '$( /( %*2<*+#+'# (#$*3&+(2&%( # Z0#//( $(3&('&;(G +#/ A$(1&%* 3#//:!=R &+10+)&*+# 3#//:02&3&'T $#/('&;(N

<&=>$( , 3&('&;(

RGP

RGR^

R

RGR^

RGP

RGP^

R RGI RG\ RG[ RGe P PGI

6L

%*2<*+#+'# (#$*3&+(2&%(

%*2<*+#+'# $(3&('&;(

?N D*+1$*+'* '$( %*2<*+#+'# (#$*3&+(2&%( # %*2<*+#+'# $(