Esercitazione NTC Laboratorio di Costruzioni 2 Prof.Mario De Stefano

5/7/2018 Esercitazione NTC Laboratorio di Costruzioni 2 Prof.Mario De Stefano - slidepdf.com

http://slidepdf.com/reader/full/esercitazione-ntc-laboratorio-di-costruzioni-2-profmario-de-stefano 1/59

XGIQH^[IZF' JH@MI [ZXJI JI AI^HGRH

AFKCMZF' JI F^KOIZHZZX^F

KC^[C JI MFX^HF IG \^C@HZZFRICGH JHMM'F^KOIZHZZX^F

\^C@HZZFRICGH JI IG AFNN^IKFZC

^H[IJHGRIFMH IG KF



Jiehg{icgfehgzc jhm [cmfic

Jfzc mc {kohef {z~xzzx~fmh ig vxh{zicgh ï ghkh{{f~ic |~ckhjh~h kcg im

|~h%jiehg{icgfehgzc jhm {cmfic ig nf{h fmmf mxkh |iù `~fgjh

Kf~fzzh~i{zikoh

[|h{{c~h eigiec jhm {cmfic { & Mefx

>85 86<

>85 ><':ke

[i fjczzf xg {cmfic /><$:) ig mfzh~c%khehgzc f~efzc ~hfmirrfzc ig c|h~f- {c{zhgxzc jf xg

ie|fmkfzc |~cqqi{c~ic ig mh`gc'

[hricgh Mcg`izxjigfmh

J zi @ z i i



J zi @ z i i

Qfmxzfricgh jhi kf~ikoi

Mf {z~xzzx~f {f~ì fjinizf f kiqimh fnizfricgh kfzh`c~if 6'

Gc~efziqf ji ~iah~iehgzc GZK ><<?'

Ig vxh{zc kf{c {cgc |~hqi{zi i {h`xhgzi {cq~fkkf~ikoi2

>'<< dG#e> |h~ {cmfic igzh~gc4

:'<< dG#e>

|h~ {cmfic h{zh~gc4

Kf~fzzh~i{zikoh jhi efzh~ifmi2

Kfmkh{z~xrrc ^kd k >8#;< Fkkific N:8<k ^h{i{zhgrf ji kfmkcmc/Fkkific h KM[)

Hk 5 ;6::0 G#ee> Hy 5 >6<<<<'<< G#ee> ayj 5 :8< # 6'68 5 ;96';< d`#ee> Akd 5 /<'?;";<)5>:'9 G#ee

>ayd 5 :8<'<< G# ee

>akj 5 /Akd"<'?8)#6'8<5 6:'66 d`#ee

>

Yk 5 6'8< y{ 5 6'68

Akj /<'?8">:'9)#6'8< G#ee>

ayj 5 ;96';< G#ee>

Ghm kfmkcmc ï {zfzc fjczzfzc im ehzcjc jh`mi {zfzi mieizh xmziei /['M'X') h z~fzzfgjc{i ji xg

{cmfic igzh~|ifgc gcg kcg{ijh~ifec im kf~ikc jhmmf ghqh'



Fgfmi{i jhi kf~ikoi |h~ {cmfic igzh~gc /O ><$:ke)

@6 /\h{c |~c|~ic jhm {cmfic)

\ i { / \ i [)G fm e

> /6e#i) \~cacgjizì /e) Igzh~f{{h /e) [|h{{c~h /e) \h{c {|hkiaikc /dG#e

; ) Kf~ikc /dG#e

> )

[cmhzzf 6'<< 6'<< <'<: >8'<< 6'<<

Gh~qfzx~f > 6'<< <'6< <'>< >8'<< 6'<<

\i`gfzzh > 6'<< <':< <'>< 1'<< <'91

Zczfmh |h{c |~c|~ic {cmfic >'91

@> /[cq~fqqf~ikoi ai{{i)

\ i { / \ i [)\~cacgjizì /e) Igzh~f{{h /e) [|h{{c~h /e) \h{c {|hkiaikc /dG#e

; ) Kf~ikc /dG#e

> )

Igzcgfkc 6'<< 6'<< <'<> 68'<< <';<

Ef{{hzzc ji fmmh``h~iehgzc 6'<< 6'<< <'6< 6<'<< 6'<<[czzcacgjc 6'<< 6'<< <'<> ><'<< <':<

\fqiehgzfricgh 6'<< 6'<< <'<6 >0'<< <'>0

Igkijhgrf z~fehrri 6'<< 6'<< 6'<< 6'<< 6'<<

Zczfmh |h{c {cq~fkkf~ikoi ai{{i >'90

& & & V



Fgfmi{i jhi kf~ikoi |h~ {cmfic h{zh~gc /O 61$:ke)

@6 /\h{c |~c|~ic jhm {cmfic)

\ i { / \ i [)G fm e

> /6e#i) \~cacgjizì /e) Igzh~f{{h /e) [|h{{c~h /e) \h{c {|hkiaikc /dG#e

; ) Kf~ikc /dG#e

> )

[cmhzzf 6'<< 6'<< <'<: >8'<< 6'<<

Gh~qfzx~f > 6'<< <'6< <'61 >8'<< <'?<

\i`gfzzh > 6'<< <':< <'61 1'<< <'00

Zczfmh |h{c |~c|~ic {cmfic >'80

@> /[cq~fqqf~ikoi ai{{i)

\ i { / \ i [)

\~cacgjizì /e) Igzh~f{{h /e) [|h{{c~h /e) \h{c {|hkiaikc /dG#e

;

) Kf~ikc /dG#e

>

)

Igzcgfkc 6'<< 6'<< <'<> 68'<< <';<

Ef{{hzzc ji fmmh``h~iehgzc 6'<< 6'<< <'<: ><'<< <'?<

[czzcacgjc 6'<< 6'<< <'<> ><'<< <':<

\fqiehgzfricgh 6'<< 6'<< <'<6 >0'<< <'>0

Zczfmh |h{c {cq~fkkf~ikoi ai{{i 6'00



Kfmkcmc jhmmh kcenigfricgi ji kf~ikc2

Haahzzxfzh kcg mh hvxfricgi jhi ; ecehgzi

/vxi qhg`cgc ~i|c~zfzi {cmc |f~zh ji vxh{zi)



FN

NK

KJ



Zfnhmmf jhm kfmkcmc jhmm’f~efzx~f h

jhzh~eigfricgh jhmm’f~hf jhi ah~~i kceeh~kifmi

Zfnhmmf g'6

G¼ ah~~i x{fzi Fa kcee Ex 5 Fa • ayj • <'9 • o Ex 5 Fa • ayj • <'9 • o

ked` • ke dG • e

NK > & ? 6'<<: 000?0'; 0'?KJ 6 & 6< $ 6 & ? 6'>?0 9906;':6 6<Kfe|fzh&JH 6 & 6< $ 6 & ? 6'>?0 9906;':6 6<

N > & ? 6'<<: 000?0'; 0'?

K 6 & 6< $ > & ? 6'0?9 6;?1<0'<1 6;'?

J > & 6< $ 6 & ? >'<0> 61<8;;'60 61F||c``i&

H 6 & 6< $ 6 & ? 6'>?0 9906;':6 6<

&

Zfnhmmf g'> F ehgc ji xg ah~~c

G¼ ah~~i x{fzi Fa kcee Ex 5 Fa • ayj • <'9 • o Ex 5 Fa • ayj • <'9 • o

ked` • ke dG • e

NK 6 & ? <'8<> ;??9;'18 ;'9

KJ 6 & ? < 8<> ;??9; 18 ; 9K z



Zfnhmmf ji kfmkcmc f~hf jhi ah~~i eigief

E'efx E'efx ayj 5 ayd#ya <'9•o /ayj•<'9•o) Fa eig'5E' efx#/ayj•<'9•o)D` • ke dG • e ke

ke

NK 1;?9< 1';9 ;96;'<: 69'? 00:0?'69 <'?>

KJ 0969< 0'9> ;96;'<: 69'? 00:0?'69 6'<>Kfe|fzhJH ??9?< ?'9< ;96;'<: 69'? 00:0?'69 6'68

N 10;9< 1'0: ;96;'<: 69'? 00:0?'69 <'?0

K 6><<6< 6> ;96;'<: 69'? 00:0?'69 6'88

J 6:6:8< 6:'68 ;96;'<: 69'? 00:0?'69 6'?;F||c``i

H 8<1>< 8'<1 ;96;'<: 69'? 00:0?'69 <'18&



[zief jhm ecehgzc xmziec KM[ /af{kh)

Ex 5 n& o

>

~>

~ 5 6

k& a kj k 5 & °.°/6%+°.) 5 6':66

dG

ke>

5 mxkh kfe|fzf

a'z' 5 af{kh zhkgcmc`ikoh G¼ |i`gfzzh 5 Mc&nz~fqh

&a '

z '&

z '

~'

M |i`gfzzf

z'~' 5 hqhgzxfmh z~fqhzzc ~i|f~zizc~h

6¼ kfe|fzf /{nfmrc FN) G¼ |i`gfzzh 5 68< & ;< &6

>8

5 :'01

Ex n o ~

dG & e ke ke dG#ke

6<';1 6< 69'? 6'9:8:

;6'<? ;< 69'? 6'9:8:

86'09 8< 69'? 6'9:8:



Qh~iaikf

Gx 5 n&. & _ k & a kj + F a & a yj 5 < _ k 5 F a

&a yj

n&. & a kj

Ex 5 n&. & _ k & a kj O

>+ * & _ k/ )! ' ) "

$ F a & a yj O

>+ k

- %

# <

Zfnhmmf g'6 kcg zxzzi i ah~~i

&&&&&&&

Gx5 _k n Akj & % /Fa Ayj)

ke kedG#ke ke dG#ke

NK < <'19 8< 6':66 <'?<9 6'<<: ;9'6;

KJ < <'?? 8< 6':66 <'?<9 6'>?0 ;9'6;Kfe|fzh

JH < <'?? 8< 6':66 <'?<9 6'>?0 ;9'6;

FN < <';: 8< 6':66 <'?<9 <'8<> ;9'6;[nfmri HA < <';: 8< 6':66 <'?<9 <'8<> ;9'6;

N < <'19 8< 6':66 <'?<9 6'<<: ;9'6;

K < 6'>; 8< 6':66 <'?<9 6'0?9 ;9'6;

J < 6':> 8< 6':66 <'?<9 >'<0> ;9'6;F||c``i

H < <'?? 8< 6':66 <'?<9 6'>?0 ;9'6;

_ n A j /O#> _ ) /O#> )



Zfnhmmf g'> F ehgc ji xg ah~~c

&&&&&&

&


ke kedG#ke ke dG#ke

NK < <';: 8< 6':66 <'?<9 <'8<> ;9'6;

KJ < <';: 8< 6':66 <'?<9 <'8<> ;9'6;Kfe|fzh

JH < <';: 8< 6':66 <'?<9 <'8<> ;9'6;

N < <';: 8< 6':66 <'?<9 <'8<> ;9'6;

K < <'19 8< 6':66 <'?<9 6'<<: ;9'6;

J < <'?? 8< 6':66 <'?<9 6'>?0 ;9'6;F||c``i

H < <';: 8< 6':66 <'?<9 <'8<> ;9'6;

Ex5 _k n Akj & /O#>% . _k)$ Fa •Ayj /O#>%k)

dG e ke kedG#ke

ke ke dG ke

NK :'>1 <';: 8< 6':66 <'?<9 6> <':61 <';: 69'1:; 6<

KJ :'>1 <';: 8< 6':66 <'?<9 6> <':61 <';: 69'1:; 6<Kfe|fzh

JH :'>1 <';: 8< 6':66 <'?<9 6> <':61 <';: 69'1:; 6<N >':> <';: 6< 6':66 <'?<9 6> <':61 <';: 69'1:; 6<

N 6'98 <';: 6< 6':66 <'?<9 6< <':61 <';: 69'1:; ?

K :'?8 <'19 6< 6':66 <'?<9 6> <':61 <'19 ;9'>?1 6<

J 1'>< <'?? 6< 6':66 <'?<9 6> <':61 <'?? 8<';1< 6<

H >':> <';: 6< 6':66 <'?<9 6> <':61 <';: 69'1:; 6<

F||c``i

H 6'98 <';: 6< 6':66 <'?<9 6< <':61 <';: 69'1:; ?



Zfnhmmf g'; F ehgc ji jxh ah~~i

&&&

&

&&&&&&&


ke kedG#ke ke dG#ke

K < <';: 8< 6':66 <'?<9 <'8<> ;9'6;F||c``i&

J < <';: 8< 6':66 <'?<9 <'8<> ;9'6;

Ex5 _k n Akj & /O#>% . _k)$ Fa •Ayj /O#>%k)dG e ke ke

dG#keke ke dG ke

K :';9 <';: 6< 6':66 <'?<9 6> <':61 <';: ;9'>?1 6<F||c``i

J 8'8< <';: 6< 6':66 <'?<9 6> <':61 <';: 8<';1< 6<



Zhmfic ig Khehgzc F~efzc Jfzc xgc {kohef ji zhmfic ni{c`gf iggfgri zxzzc- |~hjiehg{icgf~h mh z~fqi- ig nf{h fmmf

mxkh- ig nf{h fmmf axgricgh koh jhqcgc {qcm`h~h- kicï ig nf{h fi kf~ikoi koh jhqcgc |c~zf~hh ig nf{h f {|hkiaikoh h{i`hgrh f~koizhzzcgikoh'[xkkh{{iqfehgzh {i |xþ |~ckhjh~h kcg m’fgfmi{i jhi kf~ikoi ~hmfziqf f kif{kxgf z~fqh h fkif{kxg |imf{z~c'

Zhmfic c``hzzc ji fgfmi{i J

Ij ziai i z i im z i



\~hjiehg{icgfehgzc jhmmh z~fqi2



Fgfmi{i jhi kf~ikoi kcgkhgz~fzi {xi gcji jhm Zhmfic2

[i |xþ |~ckhjh~h ji~hzzfehgzh kcg im |~hjiehg{icgfehgzc jhi |imf{z~i' Fi aigi jhm|~hjiehg{icgfehgzc- ï {xaaikihgzh kfmkcmf~h mh f~hh j’igamxhgrf ji kif{kxg |imf{z~cecmzi|mikf~mh |h~ i kf~ikoi |h~efghgzi h qf~ifnimi h{|~h{{i f ehz~c h kcg{ijh~f~h- ig |iù- im|h{c jh`mi hmhehgzi {z~xzzx~fmi- kce|~h{c im |imf{z~c i|czirrfzc- ig |~ief nfzzxzf- kcg {hricgh;<1< ke2

\h{c kf~fz' Z~fqh ;<8< ke 5 ;'08 dG#e

\h{c kf~fz' \imf{z~c ;<1< ke 5 :'8< dG#e

Kfmkh{z~xrrc ^kd 5 ;< E|f




\imf{z~c 6?- |ifgc 6¼

@6d F~hf /e> ) M /e) /dG)

\h{c z~fqh <'68 >';8 >8'< /dG#e; ) ?'?6

\h{c \imf{z~c <'6? >'>< >8'< /dG#e; ) 9'9<

Zczfmh 6?'06

@>d F~hf /e> ) M /e) /dG)

\f~f|hzzc 6';< >'8> /dG#e) ;'>?

Zfe|cgfzx~h >'>< 0'90 /dG#e) 60'8;

Zczfmh ><'?6




\imf{z~c 60%69- |ifgc 6¼

@6d F~hf /e> ) M /e) /dG)

\h{c z~fqh <'68 >';8 >8'< /dG#e; ) ?'?6

\h{c \imf{z~c <'6? >'>< >8'< /dG#e; ) 9'9<

Zczfmh 6?'06

\imf{z~c 60%69- |ifgc >¼

@6d F~hf /e> ) M /e) /dG)

\h{c z~fqh <'68 >';8 >8'< /dG#e; ) ?'?6




\imf{z~c 61%><- |ifgc 6¼

@6d F~hf /e> ) M /e) /dG)

\h{c z~fqh <'68 >';8 >8'< /dG#e; ) ?'?6

\h{c \imf{z~c <'6? >'>< >8'< /dG#e; ) 9'9<

Zczfmh 6?'06

@>d F~hf /e> ) M /e) /dG)

\f~f|hzzc 6';< >'8> /dG#e) ;'>?

Zfe|cgfzx~h >'>< 0'90 /dG#e) 60'8;

Zczfmh ><'?6




Kf~ikoi kcgkhgz~fzi {xi gcji- |ifgc 6¼2

Fricgh ji kfmkcmc |imf{z~c 6?

@6j 5 @6d ° &6 5 6?'06 ° 6'; 5 >:';> dG

@>j 5 @>d ° &> 5 ><'?6 ° 6'8 5 ;6'>6 dG \6? 5 @6d ° &6 $ @>d ° &> 5 88'8; dG

Fricgh ji kfmkcmc |imf{z~c 60%69

@6j 5 @6d ° &6 5 6?'06 ° 6'; 5 >:';> dG \60%69 5 @6d ° &6 5 >:';> dG

Fricgh ji kfmkcmc |imf{z~c 61%><

@6j 5 @6d ° &6 5 6?'06 ° 6'; 5 >:';> dG

@>j 5 @>d ° &> 5 ><'?6 ° 6'8 5 ;6'>6 dG \61%>< 5 @6d ° &6 $ @>d ° &> 5 88'8; dG

Kf~ikoi kcgkhgz~fzi {xi gcji- |ifgc >¼2

Fricgh ji kfmkcmc |imf{z~c 6?

@6j 5 @6d ° &6 5 ><'91 ° 6'; 5 >0'>8 dG

@>j 5 @>d ° &> 5 >:'?< ° 6'8 5 ;0'>< dG \6? 5 @6d ° &6 $ @>d ° &> 5 1:':8 dG



Fgfmi{i jhi kf~ikoi {xm Zhmfic2

Z~fqh J |ifgc 6¼ h >¼ |h~ {cmfic igzh~gc2

@6d /\h{c |~c|~ic Z~fqh | 5 O & N & &km{)

\ i { / \ i [)

\~cacgjizì /e) Igzh~f{{h /e) [|h{{c~h /e) \h{c {|hkiaikc /dG#e; ) Kf~ikc /dG#e)

Z~fqh 6'<< <';< <'8< >8'<< ;'08

Zc fmh |h{c |~c|~ic Z~fqh ;'08



@>d /Zfe|cgfzx~f)

\ i { / \ i [)


Igzcgfkc h{zh~gc 6'<< >'01 <'<; ><'<< 6'18

Ex~fzx~f h{zh~gf 6'<< >'01 <'6> 61'<< 8';<

[z~fzc i{cmfgzh 6'<< >'01 <'<; 6'<< <'<?

Ex~fzx~f igzh~gf 6'<< >'01 <'<1 66'<< 6'?>

Igzcgfkc igzh~gc 6'<< >'01 <'<> ><'<< 6'6<

Zczfm 9'98 %> ( igkijhgr f|h~zx~h 6'99 5

Zc fmh |h{c Zf |cgfzx~f 0'90



Z~fqh J |ifgc 6¼ h >¼ |h~ mc {nfmrc2

@6d /\h{c |~c|~ic jhm {cmfic)

\ i { / \ i [)

G fm e> /6e#i) \~cacgjizì /e) Igzh~f{{h /e) [|h{{c~h /e) \h{c {|hkiaikc /dG#e; ) Kf~ikc /dG#e)

[cmhzzf 6';< 6'<< <'<: >8'<< 6';<

Gh~qfzx~f > 6';< <'6< <'61 >8'<< 6'<:

\i`gfzzh > 6';< <':< <'61 1'<< 6'<<

Zczfmh |h{c |~c|~ic {cmfic ;';:

@>d /[cq~fqqf~ikoi ai{{i)

\ i { / \ i [)




Z~fqh J |ifgc ji kc|h~zx~f |h~ {cmfic igzh~gc2

@6d /\h{c |~c|~ic Z~fqh | 5 O & N & &km{)

\ i { / \ i [)


Z~fqh 6'<< <';< <'8< >8'<< ;'08Zc fmh |h{c |~c|~ic Z~fqh ;'08


\ i { / \ i [)




Z~fqh J |ifgc ji kc|h~zx~f |h~ mc {nfmrc2


\ i { / \ i [)


[cmhzzf <'?< 6'<< <'<: >8'<< <'?<

Gh~qfzx~f > <'?< <'6< <'61 >8'<< <'1:

\i`gfzzh > <'?< <':< <'61 1'<< <'1>

Zczfmh |h{c |~c|~ic {cmfic >'<1

@>d /[cq~fqqf~ikoi ai{{i)

\ i { / \ i [)



Z~fqh J |ifgc 6¼ h >¼

^ih|imc`c fricgi kf~fzzh~i{zikoh

@6d 5 6<'0< $ ;';: 5 6:'<: dG#e

@>d 5 6>'89 $ 8'<? 5 60'10 dG#e

V6d 5 :'0< $ 8'>< 5 9'9< dG#e

Fricgh ji kfmkcmc

@6j 5 @6d ° &6 5 6:'<: ° 6'; 5 6?'>8 dG#e @>j 5 @>d ° &> 5 60'10 ° 6'8 5 >1'8< dG#e

V6j 5 V6d ° &d 5 9'9< ° 6'8 5 6:'?8 dG#e

& & & & Vefx 5 @6d ° &6 $ @>d ° &> $ V6d ° &d

Vef 5 @6j $ @>j $ V6j 5 89'1< dG#e

Eef 5 /v°m>)#6< 5 /89'1< ° 8>) # 6< 5 6:9 dG°e



Qfmc~i kf~fzzh~i{ziki jhi kf~ikoi {xm Zhmfic J2



Jiehg{icgfehgzc jhmmf {hricgh jhmmf Z~fqh J2

^kd 5 ;< E\f

a kd 5 &kk ° ^kd 5 <'?; ° ;< 5 >:'9 E\f

a kj 5 <'?8 ° a kd # &k 5 <'?8 ° >:'9#6'8 5 6:'66 E\f 5 6:6 d`#ke>

E 5 o 5 ~

~ 5

G 5 ∈ 4 E . ∈

~ 5 5 <'69:0



\~hjiehg{icgfehgzc jhmmf {hricgh jhm |imf{z~c 6?2

G;/61) 5 >0>8 $ / :>>> ° :'? ) 5 >>99<'1 d`

G>/61) 5 >>99<'1 $ 1::8 $ / 891< ° :'? ) 5 8?<:;'1 d`

G6/61) 5 8?<:;'1 $ 888; $ / 891< ° :'? ) 5 9>><:'1 d`

F6/61) 5 5 61;:'?; ke> ;<x1<

F>/61) 5 5 6<>9'6: ke> ;<x:<

F;/61) 5 5 :<0'1; ke> ;<x;<

\~hjiehg{icgfehgzc jhmmf {hricgh jhm |imf{z~c 60%692

G;/60) 5 >0>8 $ / :>>> ° :'9 ) 5 >;:6>'? d`

G>/60) 5 >;:6>'? $ >0>8 $ / 891< ° :'9 ) 5 88;:6'? d`

G6/60) 5 88;:6'? $ >:;> $ / 891< ° :'9 ) 5 ?1900'? d`



Kcenigfricgh ji kf~ikc |h~ m’fricgh {i{eikf [MX- [MH2

@mi haahzzi jhmm'fricgh {i{eikf {f~fggc qfmxzfzi zhghgjc kcgzc jhmmh ef{{h

f{{ckifzh fi {h`xhgzi kf~ikoi `~fqizfricgfmi2

@6 $ @> $ / &>b . Vd ) $ H

kfzh`c~if F ‛ fenihgzi fj x{c ~h{ijhgrifmh &>b 5 <;kfzh`c~if K ‛ fenihgzi {x{khzzinimi ji faacmmfehgzc /{kfmh- nfmkcgi) &>b 5 <1kc|h~zx~f /fkkijhgzfmi c ghqh f vxczf {czzc i 6<<< e {me) &>b 5 <<

F~hf ji igamxhgrf jhm Zhmfic



Fgfmi{i jhi kf~ikoi f{{ckifzi fmmh ef{{h {i{eikoh

¼@d MF MN / @d ° MF ° MN )

/dG#e> ) /e) /e) Kf~ikc /dG)

@{6 /{cmfic igzh~gc) :'9> >'>< 6?':< 699'61

@{6 /{cmfic h{zh~gc) :'8; 6'68 6?':< 98'?8

Zczfm @{6 >98'<6

¼@d MF MN / @d ° MF ° MN )

/dG#e> ) /e) /e) Kf~ikc /dG)

@{> /{cmfic igzh~gc) :'9> >'>< 6?':< 699'61

@{> /{cmfic h{zh~gc) :'8; 6'68 6?':< 98'?8

Zczfm @{> >98'<6

@d MF MN / @d ° MF ° MN )'/dG#e> ) /e) /e) Kf~ikc /dG)

@{k /{cmfic igzh~gc) 8'6> >'>< 6?':< ><0'>8

@{k /{cmfic h{zh~gc) :'8; <'18 6?':< 8:'6?

Zczfm @{k >16':;



Z~fqi h |imf{z~i &km{ M N O / &km{ ° M ° N ° O ) |ifgc >¼ /dG#e; ) /e) /e) /e) Kf~ikc /dG)

Z>%6; >8'<< :'0< <';< <'8< 60'1>8

Z>%6: >8'<< :'8< <';< <'8< 61'?08

Z>%68 >8'<< :'8< <';< <'8< 61'?08

Z>%61 >8'<< :'0< <';< <'8< 60'1>8

Z>%>0 >8'<< >'>< <';< <'8< ?'>8

Z>%>? >8'<< >'>< <';< <'8< ?'>8

Z>%>9 >8'<< >'>< <';< <'8< ?'>8

Z>%;< >8'<< >'>< <';< <'8< ?'>8

Z>%;6 >8'<< >'>< <';< <'8< ?'>8

\IM%61 >8'<< ;'<< <';< <';< 1'08

\IM%60 >8'<< ;'<< <';< <':< 9'<<

\IM%6? >8'<< ;'<< <';< <':< 9'<<

\IM%69 >8'<< ;'<< <';< <':< 9'<<

\IM%>< >8'<< ;'<< <';< <';< 1'08

Zczfmh @k> 68<'08

Z~fqi h |imf{z~i &km{ M N O / &km{ ° M ° N ° O ) |ifgc k' /dG#e; ) /e) /e) /e) Kf~ikc /dG)

Z;%6; >8'<< :'0< <';< <':8 68'?1

Z;%6: >8'<< :'8< <';< <':8 68'6?



^ih|imc`c2

Kf~ikoi f{{ckifzi fmmh ef{{h {i{eikoh

Zczfmh kf~ikoi ai{{i @d

@d @{ @k @z /dG)

\ifgc 6¼ /@d6) >98'<6 681'?; 6;1'0: 8??'8?

\ifgc >¼ /@d>) >98'<6 68<'08 6::'98 89<'06

\ifgc k' /@dk) >16':; 661'<? 9'10 ;?0'6?

6811':0

Zczfmh {cq~fkkf~ikoi qf~ifnimi Vd

Vd Vd Mf Mn /dG) /dG)

\ifgc 6¼ /Vd6’ ) >'<< 6?':< >'>< ?<'91

\ifgc 6¼ /Vd6’’) :'<< 6?':< 6'68 ?:'1: '

\ifgc >¼ /Vd>’ ) >'<< 6?':< >'>< ?<'91

\ifgc >¼ /Vd>’’) :'<< 6?':< 6'68 ?:'1:'

\ifgc k' /Vdk’ ) >'<< 6?':< >'>< ?<'91

\ifgc k' /Vdk’’) :'<< 6?':< <'18 :0'?:'



Fgfmi{i [zfzikf Mighf~h

M’fgfmi{i {zfzikf mighf~h kcg{i{zh ghmm’f||mikfricgh ji ac~rh {zfzikoh hvxiqfmhgzi fmmh ac~rh ji

igh~rif igjczzh jfmm’fricgh {i{eikf h |xþ h{{h~h haahzzxfzf |h~ kc{z~xricgi koh ~i{|hzzigc i~hvxi{izi {|hkiaiki ~i|c~zfzi ig {h`xizc- f kcgjiricgh koh im |h~icjc jhm ecjc ji qin~f~h|~igki|fmh ghmmf ji~hricgh ig h{feh /Z6) gcg {x|h~i />-8° ZK) h koh mf kc{z~xricgh {if~h`cmf~h ig fmzhrrf'

Ghm kf{c ji fgfmi{i mighf~h {zfzikf ”''' gcg {i haahzzxf m’fgfmi{i jigfeikf jhmmf kc{z~xricgh |h~ jhzh~eigf~h i ecji ji qin~f~h ”gfzx~fmi― jhmmf kc{z~xricgh h {i i|czirrf xg ecjc ji qin~f~h|~igki|fmh jhmmf kc{z~xricgh kf~fzzh~irrfzc jf xg |h~icjc Z6 kfmkcmfzc ig efgih~ff||~c{{iefzf- kceh jfmm’h{|~h{{icgh /0';'8) jhmmh GZK'―

Ecjc |~igki|fmh ji qin~f~h jhmmf kc{z~xricgh

K6 5 <'<08 |h~ hjiaiki ig k'f' f zhmfi

Mf ac~rf jf f||mikf~h f kif{kxgf ef{{f jhmmf kc{z~xricgh ï jfzf jfmmf ac~exmf {h`xhgzh2



Fricgi {i{eikoh ji |ifgc {xm zhmfic2

& 5 <'8 |h~ kf~ikoi igji|hgjhgzi

& 5 6'< |h~ mf kc|h~zx~f. 5 <'; |h~ xaaiki h fnizfricgi

P @d & . Vd @d $ /& ° . ° Vd)

\ifgc 6¼ /P6) 8??'8? <'8 <'; 618'1< 16;':>

\ifgc >¼ /P>) 89<'06 <'8 <'; 618'1< 168'88

\ifgc k' /Pk) ;?0'6? 6'< <'; 6>?'?< :>8'?>

Zczfmh 618:'09

Fkkhmh~fricgh {|hzz~fmh

f` [ 6#v Ac /f`ヴ[ヴ6#vヴ Ac)

<'6;6 6'> 6#;'9 >':6; <'<90

Ac~rf {i{eikf zczfmh /zf`mic fmmf nf{h)



Jif`~feei G-Z-E kcenigfricgh acgjfehgzfmh



Jif`~feei G-Z-E kcenigfricgh {i{ef $



Jif`~feei G-Z-E kcenigfricgh {i{ef %



Igqimx||c G-Z-E z~fqh



Igqimx||c G-Z-E |imf{z~c



Kf~fzzh~irrfricgh jhmm’fricgh {i{eikf

\f~fehz~i {i{eiki /rcgf Ai~hgrh)

\h~icjc ji ~iah~iehgzc |h~ m’fricgh {i{eikf

Mh fricgi {i{eikoh {x kif{kxgf kc{z~xricgh qhg`cgc qfmxzfzh ig ~hmfricgh fj xg |h~icjc ji~iah~iehgzc Q^ koh {i ~ikfqf- |h~ kif{kxg zi|c ji kc{z~xricgh- ecmzi|mikfgjcgh mf qizfgceigfmh QG |h~ im kchaaikihgzh j’x{c KX2

Q^ 5 QG & KX

Qizf gceigfmh jhmmf {z~xzzx~f QG . 8<



|f~fehz~i Z^ h \Q^ {cgc ieehjifzfehgzh h{|~ieinimi- m’xgc ig axgricgh jhmm’fmz~c- ehjifgzhm’h{|~h{{icgh2

\h~icjc ji ~izc~gc jhmm’fricgh {i{eikf Z^

[MJ \Q^ 5 1;(

[MQ \Q^ 5 6<(

\f~fehz~i {i{eiki /rcgf Ai~hgrh)



\~c`hzzfricgh jhmmh f~efzx~h mcg`izxjigfmi jhmmh z~fqi

Fricgi { mmhkizfgzi GZK ><<? Jiehg{' ~efzx~h

E {j Z j E j #

/<'9ｨj ｨa yj )Z" j # a yj

<'>1 ｨa kzeｨnj#

a yd <'<<6;ｨnｨj & F{-haa F{ｨ<'9ｨj ｨa yj

FN $ 8;'0>6 % ;';> ke> % >'<: ke> 6'09 ke> ; & 6: :'1> 0':?

NK $ ;:';<0 % >'6> ke> % >'<: ke> 6'09 ke> > & 6: ;'<? :'99

KJ $ ;:';<0 % >'6> ke> % >'<: ke> 6'09 ke> > & 6: ;'<? :'99

JH $ 8;'0>6 % ;';> ke> % >'<: ke> 6'09 ke> ; & 6: :'1> 0':?

F % 06'1;: % :':> ke> % >'<: ke> 6'09 ke> ; & 6: :'1> 0':?

N % 668'966 % 0'68 ke> % >'<: ke> 6'09 ke> 8 & 6: 0'0< 6>':0

K % 9;'88: % 8'0? ke> % >'<: ke> 6'09 ke> : & 6: 1'61 9'9?

J % 668'966 % 0'68 ke> % >'<: ke> 6'09 ke> 8 & 6: 0'0< 6>':0

H% 06'1;: % :':> ke> % >'<: ke> 6'09 ke> ; & 6: :'1> 0':?

F$ % 9<'8; % >';6 ke> % % > & 6: ;'<? :'99

N$ % 6<?'8> % >'00 ke> % % > & 6: ;'<? :'99

K$ % 9:'<; % >':< ke> % % > & 6: ;'<? :'99

J$ % 6<?'8> % >'00 ke> % % > & 6: ;'<? :'99

H$ % 9<'8; % >';6 ke> % % > & 6: ;'<? :'99



Qh~iaikf f amh{{icgh jhmmh f~efzx~h mcg`izxjigfmi jhmmh z~fqi

E{j & E^j

y E^j E[j

ke dGe dGe

FN$ ;'8> 09'>1: 7 8;'0>6

FN% 0'>8 6:;'0:9 7 <

NK$ ;'6< 8;'?11 7 ;:';<0

NK% ?'>8 6:>'600 7 <

F$ ;'8> 09'>1: = 9<'8;

F% 0'>8 6:;'0:9 7 06'1;:

N$ ;'6; 8;'?;; = 6<?'8>

N% 6;'16 >>6':?; 7 668'966

K$ ;'66 8;'009 = 9:'<;

K% 6<'9; 6?;';69 7 9;'88:



F~efzx~f z~f{qh~{fmh z~fqh

Jhzh~eigfricgh jhm zf`mic ji |~c`hzzc

Z~fzzc {hr M @d @d$&Vd E{j$ E{j

% E~j$ E~j

% Qj-ef Qj-eig }QHj}ef

e dG#e dG#e dGe dGe dGe dGe dG dG dG

F ;:'1? ;6'06 9<'8; %06'1; 9<'8; %6:;'08 6;<'9: 1'>; 6;<'9:

N'

;:'1? ;6'06 6<?'8> %668'96 6<?'8> %>>6':? %61:'61 %;0'99 61:'61

N ;:'1? ;6'06 6<?'8> %668'96 6<?'8> %>>6':? 6>9'10 ;'68 6>9'10K

';:'1? ;6'06 9:'<; %9;'88 9:'<; %6?;';> %606'?6 $?'>> 606'?6

K ;:'1? ;6'06 9:'<; %9;'88 6?;';> %9:'<; ?'>> 606'?6 606'?6

J'

;:'1? ;6'06 6<?'8> %668'96 >>6':? %6<?'8> %;'68 6>9'10 6>9'10

J ;:'1? ;6'06 6<?'8> %668'96 >>6':? %6<?'8> ;0'99 61:'61 61:'61

H'

;:'1? ;6'06 9<'8; %06'1; 6:;'08 %9<'8; %1'>; %6;<'9: 6;<'9:



Hmhehgzi f~efzi f zf`mic

Im zf`mic ~h{i{zhgzh ji |~c`hzzc |h~ hmhehgzi kcg f~efzx~h z~f{qh~{fmi ~h{i{zhgzi fm zf`mic qf

qfmxzfzc ji{zigzfehgzh |h~ i jiqh~{i hmhehgzi jhm z~fmikkic ~h{i{zhgzh h vxigji zfgzc |h~ mhf~efzx~h z~f{qh~{fmi ~h{i{zhgzi f z~fricgh vxfgzc |h~ m’fgief ji km{ ~h{i{zhgzh fkce|~h{{icgh

zf`mic ji z~fricgh zf`mic ji kce|~h{{icgh

j fmzhrrf xzimh jhmmf {hricghnp mf~`ohrrf eigief jhmmf {hricghF{p f~hf jhmm’f~efzx~f z~f{qh~{fmh{ igzh~f{{h z~f jxh f~efzx~h z~f{qh~{fmi kcg{hkxziqh& fg`cmc ji igkmigfricgh jhmm’f~efzx~f z~f{qh~{fmh ~i{|hzzc fmm’f{{h jhmmf z~fqha 'kj ~h{i{zhgrf f kce|~h{{icgh ~ijczzf jhm kfmkh{z~xrrc j’fgief /a 'kj 5 <- 8°a kj)&k kchaaikihgzh ef``ic~fziqc |f~i f 6 |h~ ehen~fzx~h gcg kce|~h{{h

Mf ~h{i{zhgrf fm zf`mic jhmmf z~fqh ï mf eigc~h jhmmh jxh {c|~f jhaigizh2

Q^j 5 eig / Q^{j4 Q^kj )

Ghm kf{c ji hmhehgzi ig kxi mh f~efzx~h z~f{qh~{fmi ~h{i{zhgzi fm zf`mic {ifgc kc{zizxizh jfmmh{zfaah- m’fg`cmc & ji igkmigfricgh jhmm’f~efzx~f z~f{qh~{fmh ~i{|hzzc fmm’f{{h jhmmf z~fqhjiqihgh |f~i f 9<¼ Jhzzc kiþ f{{xehgjc koh m’igkmigfricgh . jhmmh ah{{x~h ~i{|hzzc fmm’f{{h



F~efzx~f mcgìzxjigfmh |imf{z~c

[cmmhkizfricgi ji kfmkcmc

Aq Ac Aq % Ac

îzzc Gcjc Fmzhrrf }Gk-Hj} }Ek-Hj} Ez-^j$ }Gk-Hj} }Ek-Hj} Ez-^j

%

Acgjfr' <'<< ;8<'0; 60'0> <'<< >?1'8> :8'1? <'<<

>'0< ;8<'0; ?'11 >?1'8> :0'>1

>'0< >6?'<: <'6>'

6?6'19 ;:'66'

8'0< >6?'<: <'80 6?6'19 ;1'<;

8'0< ?6'0: 1'>> ' 06'<8 ;8'1< '

M ?'0< ?6'0: 1'?9 9<'8; 06'<8 ;0'00 6:;'08

& EK-^j . & ^j⋈& En-^j

& ^j 5 6-6< |h~ mh {z~xzzx~h ig KJ ”N―

Aq Ac Aq % Ac

îzzc Gcjc Fmzhrrf +$ }Gk-Hj} }Ek-Hj} +% }Gk-Hj} }Ek-Hj}

Acgjfr' <'<< ;8<'0; 9?'>< >?1'8> 96'1?

>'0< ;8<'0; 9?'>< >?1'8> 96'1?

>'0<'

>6?'<: 6';1'

6?6'19 11'60

8'0< >6?'<: ?';8 6?6'19 09'>0

8'0<'

?6'0: 96'6?'

06'<8 0?';>



F~efzx~f z~f{qh~{fmh |imf{z~c

Jhzh~eigfricgh jhm zf`mic ji |~c`hzzc

Eigiei gc~efziqi |h~ KJ”N―2

{zfaah 7 & 1 { = n # > 5 68 ke F{p #{ . <-<? ° a kj ° n{z # a yj

{ + 6> & 6? 5 >6-1 ke { 5 60-8 ke F{p #{ . <-<0>{ + >8 ke { + ? & 6? 5 6:-: ke

^izzc GHj y E^j O|im QHj

dG ke dGe E dG

A@ 88<'18 6>'98 ><6'10 >'> ><6'10

@O ;8;':; ?';6 6>8'00 >'8 66<'10

OM 686'8> ;'81 6<0':0 >'8 ?8'9?



Fmmh`fzi2

% Zfq' [cmfic

% Zfq'Zhmfic

% Zfq' \imf{z~c

Esercitazione NTC Laboratorio di Costruzioni 2 Prof.Mario De Stefano

Documents

Transcript of Esercitazione NTC Laboratorio di Costruzioni 2 Prof.Mario De Stefano