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8/6/2019 solaio (1)
1/29
!"#$"$%&'('))* +
+ !",!"$+
& !$$!#$!$$&
* "!",""", ** ""!%##$** ""$ *
- !"",-- "","!" -- "",./",$!$%$(
0 !$"#$$!$%$(0 "$1#$""$(0 .%$$$$0+ .%#$$$/.$$! 0& !#$$ +
2 ./",$!$%$&2 !$$/!!$%&2 ./"/!!$-
2+ $$./",/!!$!$!#$%+2& %#$ +2* ./"$&
( ./",$!$!"#$ *( "345637!787*( .6687-(+ .67870(& .6679: 0
) ";"$1#$""$."$%
8/6/2019 solaio (1)
2/29
467=446
##$
!$+)>+)
."388&*
."388&*
."3882)
77=47?774@A7557457469975
8777=87A73885 )A388A885BC88
8/6/2019 solaio (1)
3/29
+
787577448775A59
77=4737=57+447D4447::378744777
##$
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+) 2) +)
!$+)>+)
."388&*
."388&*
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3882)
8/6/2019 solaio (1)
4/29
&
87 3 787 7 44477 775 777 77576767779787877775
44 B 7CA 7478447 77886!7377757-8766563
E* E&
+ & * -
1 "
8777=
9)
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3
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!67477&7 47 3 5 7 * %887 67 (-F'*A7F'*E*))'*E)! 88488E)88777
4&!7388)538844+25G388874*)
8/6/2019 solaio (1)
5/29
*
"88778!E+)
"88789EH"E+*H877747
(+)
A
==#
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E*2
87787-
2&
A
==#
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%%
E*
7 == ! % &2) -+8874
==&!%% 0) 2&577887
4
777 == +)))#
+*&-)7 =+= *+!#
++*
757=I
''
7/1&&J
757 &+)=(!%
75777 (+0+*
&+)
A
===#
(!
($
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777E))))
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($
($
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H67877 )="$ H
8/6/2019 solaio (1)
6/29
-
7577=I
!
')''''
587 34667 97 ))*I 474 B9 -C 753B9-C%76787477747347767477
9577446478877
KJ'L !47KL7 0
2 "B!$"C 0 &"77 * 87 2 77 ) *
973594))*7877
#*
8/6/2019 solaio (1)
7/29
0
775987577974+!E))J'G
,,#+$"-.%$-,.&$&.,#!947-+))*A88477773G5 9 G7 7 37 4: 4875!78888+ 887 4 4 A 7 47 7
44746772* *
$"$E*
#$/$$
77/&.EB2J'))2M)))*C+*E2-N+=88887*=388"7G5770&.E/&.',E2-'B*&CE)(+J'G
%7788*J'G
8/6/2019 solaio (1)
8/29
2
,,#+$,
""$ "7KJ'GL
887 )(+577 0)) )0 2)) )+-" 0))& )2!77)M& +77 )))* )+ 0!E *&
57474747774+J'G=77777 47 5 4O 7 47 7787G77I
77 *))& 75 *)))')*) 787 2)+2))')*) 0!*,E +&
,.,.,&&.&,#+
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,.,.,&&.&,#$&.,1&&
!7473G45E)*)""$/!E0!E*&)*)E*0N'""$.12!E+!E)))*)E))N'
8/6/2019 solaio (1)
9/29
(
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"
68'9'9':''
%57743A573388 77 A 7A 57 787 4 G 777 7877774P57
3A6A7=57A577.14A7777A7744A59477747774!5
47A378774G=477597477874P587 75 37 !% 57 3 5957774476688Q24*7)77747874P57$5574= 4 4 5 5 7 667 = 657 7 657
88
8/6/2019 solaio (1)
10/29
)
47A757477+4797987759A3477:7+78774777574P74754A787+747777574477
RA4477G5A9747875:
G774A=44557667=657765788
777A48877475745447747747444775774B/*'C757759B2*'CA444777747577B/*''CB79877C 88 77 4757 4 5 44 77477474447 7 57 7 4 B/*'C 7 57
8/6/2019 solaio (1)
11/29
759B2*'CA444777747577B/*''CB79877C 88 77 57 4477 5 44 7 7 9 4 7 447 7 57
7 4 B/*'C 7 57 7 59 B2*'C 94B79877+C
4 4
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4 4
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4 4
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68'9'9:''
68'9'9:''
68'9'9:''
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77687777787!753 777 47574B(A0*JC= 6777987A77747574B*A&0JC=677 7987 7 5 87 + &
47: 4477 B)A*+ ; JC 77 67 7987 + 7987A 7 77 57 7478 4477 1 4 ;-**JD 77578&)4716757487+&57475576777775447 787A 3 777 9 57 77
$$/$!%KJL
8/6/2019 solaio (1)
12/29
$$!%KJL
R 77 7 887 47 6!)))877874O88476S57A97I34I''559''6'76S'47T3 4'9:669599/'4/'33//'
6'
777777544:A7775767674 ')UGU7447
477777I
( ) ( ) J+--**-+)
*&)
=+=+=
2/6 !!
( ) ( ) J)0&&*-+)
*&)
=+=+= 2/6 !!
77747887-4O73 7757 87 454447I
+
')+
;+
8/6/2019 solaio (1)
13/29
+
87A=E+)4477A7757I
( ) ( ) =+++= *&
*&
=2/=2/66 !!!! 02J
87-A=E+)4477"A7757I
( ) ( ) =+++= - *&*&
=2/=2/66 !!!! *J
64776=I
2.7
8
9.7
5
10.5
3
11.2
2
5.4
71.2
5
$$/$!%KJL
'9::'/66:'669'
775777573:77 7 57 77 77 6 B4 &++ (-C 6 75 45 3 7 5 747777388779574478,7
5775I( ) $$, )&(*()7() ===
2.7
8
9.7
510.5
3
11.2
2
5.4
71.2
5
$$/!$$!%KJL
8/6/2019 solaio (1)
14/29
&
#
3:'69'9695'9:>6
!7387447737573
97 744 4)($7 $ 88 87 !4788 3 8 97 97 7 877774*
V
12
20
4
E3E*
50
E*
VE*
4734)($=54877DG47=5
48777757=5348777757473!47883477 4757 87 7 A = 4P 77
4?B
8/6/2019 solaio (1)
15/29
*
- 874 73 67747A4547774757757779
Msd As,req
Sezione [kNm] [mmq]
1 -2.78 As_sup 38
As_inf
2 9.75 As_sup
As_inf 135
3 -10.53 As_sup 146
As_inf
4 -11.22 As_sup 155
As_inf
5 5.47 As_sup
As_inf 76
6 -1.25 As_sup 17
As_inf
As 8= 50 mmq
As 10= 79 mmq
As 12= 113 mmq
As 14= 154 mmq
! 9 57 3A 5 45 7 9 7 577 57G3 G7 87 - 7 77 57 9966 47 7 4887 2 B*)GW+2G W0GC 4A712. 87 + &A G 7 7 A 47
47488774447777712B+E-GW**GC 73Y G 4 = 7 7757A4774712748871274784477B574C67A45738877A7776344P745757444B8*C=66)B0(GW0-GC4
A74B8C=4O4 BE+GC77+*+EG4763!7)
4=GM)B+M0(E(GW+*GC
8/6/2019 solaio (1)
16/29
-
74-8777I
As,req As
Sezione [mmq] 8 10 12 14 [mmq]
1 As_sup 38 1 113
As_inf 1 1 1922 As_sup 0
As_inf 135 1 1 192
3 As_sup 146 2 226
As_inf 1 1 192
4 As_sup 155 2 226
As_inf 1 113
5 As_sup 1 113
As_inf 76 1 113
6 As_sup 17 1 113
As_inf 1 113
Spezzoni e/o correnti
7 88 77 7 5 4699A 87 77 4757 4O7 3 4 7B47-7247747$1C 4'5'5'9
7A4O47567!%-87G7 67A = 7 7 4 7 87 77 77 4 4 67 7677 7 777
77 77 77 = 7 887 47.479887
34I''559''6'76S'47T3
4A47874778777 47A 7 87A 447 77 4 7 87A 97 3 3 A 97 7A 67
47A 7557 77 7 B6=$CA7BC7BCA6787BC7BC 747 777387 4787 7 B=C5767877774O477
8/6/2019 solaio (1)
17/29
0
2!87
8/6/2019 solaio (1)
18/29
2
2!87
8/6/2019 solaio (1)
19/29
(
2+!87+
8/6/2019 solaio (1)
20/29
)
2&!87&
8/6/2019 solaio (1)
21/29
2*!87*
8/6/2019 solaio (1)
22/29
2-!87-
8/6/2019 solaio (1)
23/29
+
'3'/4'5')5'9:'3''96
9574775634-87"76.$=7777/!6788A75574477 77 6.$ 77 7 6$ 67
88774756677!%76 77 47 75 87 7D874577747A7557476787 4 7 87 87 7 4777 4 99 777 7 7477987
As,req As Msd Mrd FS C
Sezione [mmq] 8 10 12 14 [mmq] [kNm] [kNm]
1 As_sup 38 1 113 -2.78 -8.49 3.06 2
As_inf 1 1 1922 As_sup 0 9.75 14.91 1.53 2
As_inf 135 1 1 192
3 As_sup 146 2 226 -10.53 -16.54 1.57 2
As_inf 1 1 192
4 As_sup 155 2 226 -11.22 -16.54 1.47 2
As_inf 1 113
5 As_sup 1 113 5.47 9.00 1.65 2
As_inf 76 1 113
6 As_sup 17 1 113 -1.25 -8.05 6.45 2
As_inf 1 113
Spezzoni e/o correnti
Z4Z4
Z4
Z6
Z)6
WE WE
WE WE
6:''3''9
75 45 3 7 47 77 5
487A47+-77)[G7 R = 47 87 777 477
8/6/2019 solaio (1)
24/29
&
77 A 7 = 4 A 4 -GR=6*)A388AG5-')*)E&*G
&*-)))A === .- G\+-E2*G
7=6677487+ -774 75 4777 7 7D - 7)47677 4'5'/'
!8867487857A473Y777776656=7787 :74A7 67
47&(-
( ) += $.%4 @&$.$ *)*) 7 %&$E*A . E-$E-*E+2*A E'B@U$C 7 7 87A @ 388 5 BECA $8887EB867877C97477567487A+A&
-A77/!6788A4447774.$77 4$678877475677!%76
Vsd r l Vrd FS
Sezione [kNm] [mmq] < 0.02 [kN]
1 8.51 As_sup
As_inf 192 1.39 0.0074 14.09 1.66
3 14.01 As_sup 226 1.39 0.0088 14.78 1.05
As_inf
4 12.29 As_sup 226 1.39 0.0088 14.78 1.20
As_inf
6 6.03 As_sup
As_inf 113 1.39 0.0044 12.53 2.08 %7567877=747*+(-I ? : 5 5 47 67A757A779A777A76787877@
R 487 76A 7 7 9 5A77/!447777 4$4777%($447774756=76
8/6/2019 solaio (1)
25/29
*
Vsd As_inf As x fyd FS
Sezione [kN] [mmq] [kN]
1 8.51 192 71.8 8.44
3 14.01 192 71.8 5.124 12.29 113 42.3 3.44
6 6.03 113 42.3 7.01 $
,.-.1.%,&,&$>.
7737!74*))*
87597777667987.7667774"7987
""$B3447)[5C!/.$!"/*.,.,*'E/!/7E*0E*0N'/.$!"/*.,.,*''E/!/7E*0)(E+N'
""$.1!/.$!"2*.,.,*'E2!2)E))E)N'
/.$!"2*.,.,*''E2!2)E)))E)N'"79876GB3444P)[5C
""$!/.$!"/*%.+*'E/!/7E*0E*0N'/.$!"/*%.+*''E/!/7E*0)(E+N'
""$.1
!/.$!"2*%.+*'E2!2E)))*E)*N'/.$!"2*%.+*''E2!2E))))*E)N'"7987G4B3444P*)[5C
""$!/.$!"/*+?-*'E/!/7E*0E*0N'/.$!"/*+?-*''E/!/7E*0)(E+N'
""$.1!/.$!"2+?-*'E2!2E)))+E)+N'/.$!"2*+?-*''E2!2E))))+E)N'
8/6/2019 solaio (1)
26/29
-
776479876GG47I
$$/"$1#$KJL
$$/"$1#$/R%KJL
$$/"$1#$R%!KJL 4.%,$%".,
!77787979 7 - 87 5 7 77 687 6% 76777776777987G46
+?-!48776
+?-W6
%87:6
7987 G 4 3 7987 6G 55635777746 @$745776775I
79G4 @$\@E)796G @$\@E)+
!6+?-X6% 87:7987G4379876G
(&
-0
*-
)
20
)
0*
)
0)
8/6/2019 solaio (1)
27/29
0
4.%,$&$.
787 7 7987 A 577 767 7 887 7 7 57 4 75B&())*;7*0C
876.,.,W6%77779874876!6.,.,X6%7777987487 4.%,$$%.#,&A
!5777563747*&))*7747G77679A+!4O47
47 56 679: 9 47 &+++ (-A77 G 4O 7 56 6787 447 'B'887C777-B7472C
7 4 'X-*))'&E)2+X- .67 4 'X-&))'&E-0X- .67
7 7 47 4 57 75: ]56747787I 457 '*)'B7C
7 4 '*)'*))')&*)'*)2+X+).67 4 '*)'&))')&*)'&-0X+0*.67563679:776
8/6/2019 solaio (1)
28/29
2
%
&
7574P4A577779877348874754
4 4
&J
*RJ
)(J
68'9'9:''
&J
*RJ
)(J &J
*RJ
4+ 4& 4*
4 4
*RJ
68'9'9:''
)(J&J
4+ 4& 4*
*RJ
)(J)(J &J
4-
)(J
4-
&J
*RJ
7987 88 7 4754 4 7987887475G4 487 = ! 57 88 77 4757 4+574 4 7 7573
!777A67BG5C:G747I
4 4 4+ 4& 4* 4-
M MM
67757344774 * O67874+G:7747574D5 447 7 4 A & - 7 6787 4+G777475747A4477 4 A 77 4 + = 66A 77747574 '+4 77 57 '+ 477774+:46677 447 4 ! 75 7 3 77 4757 4466774474:466774474+
8/6/2019 solaio (1)
29/29
7 4 88 77 6 4 + 57 44 75774*774A&-
4 4 4+ 4& 4* 4-
M M
88754475777577 4 4477 47 3 47987+88775744774D7987&88775744774+D7987*88775744774+&D7987-88775744774&*D7987088775744774*-
4 4
*RJ
68'9'9:''
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4+ 4& 4*
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4-
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68'9'9:''
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4 4
68'9'9:''
4+ 4& 4*
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4-
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J
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J)(J JJ
4 4
&J
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68'9'9:''
&J
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*RJ
4 + 4 & 4 * 4 -
&J
*RJ
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