analisis estructural de vigas

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1 UNIVERSIDAD NACIONAL DE SAN CRISTÓBAL DE HUAMANGA ESCUELA DE FORMACIÓN PROFESIONAL DE INGENIERÍ A CIVIL PROGRAMACIÓN DIGITAL (IC-246) TEMA ANÁLISIS ESTRUCTURAL DE VIGAS ALUMNO: CÁRDENAS MENDOZA !"#$% E&'&* CÓDIGO: +6++,6, A.1. OBJETIVO  P"."%/ "% 01. '"%"3" . 3'%. &" 3. 51.$3". 53$7 7$1%". 8" 5"&" /"%" MATLAB "% 3 I%'"%$"9 E./7/3* M1/$# 3 "./&$%/" 3 .1 &" MATLAB "% 3 .137$% &" "./7/. 7$#$3".* A.2. APLICACIÓN E./" /9731 &" MATLAB 1$"%/&1 "./&$%/". &" $%'"%$"9 7$#$3 8" ;<% /"$%&1 "3 7$731 &" 7.1. =.$71. "% "./=/$7 < ".$./"%7$ &" /"$3".* L1. /". 515"./1. 8" 71%01% 3 ." &"3 71%>%/ 1 &" ;"$ "%/. %"7".$ . 5 %3$? "./7/. 7$#$3".* S" &"%1$% #$' % "3""%/1 71%./7/$#1 3$%"3 8" /> 5$%7$53"%/" 03"@$%* E% 3. #$'. 3 31%'$/& 5"&1$% .1" 3. 1/. &1. &$"%.$1%". < ."3" ." ;1$?1%/3* E3 ".0 " ?1 &" 03"@$ % 5 1# 17 /"%.$1%". &" /77$% < 715".$% 51&7$ %&1." 3. =@$ . "% "3 71&% $%0"$1 < "% "3 71&% .5"$1 ".5"7/$#"%/" 3 . 73". ." 7373% "37$1%%&1 "3 1"%/1 03"7/1  < "3 ."'%&1 1"%/1 &" $%"7$*  E% 3. ?1%. 7"7%. 31. 51<1. ." 51&7"% ".0"?1. 71/%/". 1 5%?1%$"%/1* T$% 5"&"%  51&7$." /"%.$1%". 51 /1.$% .1" /1&1 "% 3. #$'. 8" 01% "3 5"9"/1 "@/"$1 

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UNIVERSIDAD NACIONAL DE SAN CRISTÓBAL DEHUAMANGA

ESCUELA DE FORMACIÓN PROFESIONAL DE INGENIERÍA CIVIL

PROGRAMACIÓN DIGITAL (IC-246)

TEMA

ANÁLISIS ESTRUCTURAL DE VIGAS

ALUMNO: CÁRDENAS MENDOZA !"#$% E&'&*

CÓDIGO: +6++,6,

A.1. OBJETIVO

 

P"."%/ "% 01. '"%"3". 3'%. &" 3. 51.$3". 53$77$1%". 8" 5"&" /"%" 

MATLAB "% 3 I%'"%$"9 E./7/3*

M1/$# 3 "./&$%/" 3 .1 &" MATLAB "% 3 .137$% &" "./7/. 7$#$3".*

A.2. APLICACIÓN

E./" /9731 &" MATLAB 1$"%/&1 "./&$%/". &" $%'"%$"9 7$#$3 8" ;<% /"$%&1"3 7$731 &" 7.1. =.$71. "% "./=/$7 < ".$./"%7$ &" /"$3".* L1. /". 515"./1.8" 71%01% 3 ." &"3 71%>%/1 &" ;"$"%/. %"7".$. 5 %3$? "./7/.7$#$3".*

S" &"%1$% #$' % "3""%/1 71%./7/$#1 3$%"3 8" /> 5$%7$53"%/" 03"@$%* E%3. #$'. 3 31%'$/& 5"&1$% .1" 3. 1/. &1. &$"%.$1%". < ."3" ." ;1$?1%/3* E3".0"?1 &" 03"@$% 51#17 /"%.$1%".  &" /77$%  < 715".$%  51&7$%&1." 3.=@$. "% "3 71&% $%0"$1 < "% "3 71&% .5"$1 ".5"7/$#"%/" 3. 73". ."7373% "37$1%%&1 "3 1"%/1 03"7/1  < "3 ."'%&1 1"%/1 &" $%"7$* E% 3. ?1%.7"7%. 31. 51<1. ." 51&7"% ".0"?1. 71/%/". 1 5%?1%$"%/1* T$% 5"&"% 51&7$." /"%.$1%". 51 /1.$% .1" /1&1 "% 3. #$'. 8" 01% "3 5"9"/1 "@/"$1 

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&" % 01>&1* E./7/3"%/" "3 7151/$"%/1 &" % #$' ." "./&$ "&$%/" %1&"31 &" 5$.*

A.2.1. Datos Requeridos

L1. '"%/1. %"7".$1. 5 3 53$77$% &" 7$1 &" %$&&". .1%:

 

U% %"1 "3 8" "5"."%/ 3 '%$/& &"."&*  U% %$&& &" "&$& "% "./" 7.1 %"/1% (N)

A.2.2. Resultados

L. %/"$1". 53$77$1%". %1 .1% 3. %$7. "@$./"%/".* 3 #"./$3$&& &" MATLAB 5"$/" 53$77$1%". /% .$53". 711 3 .137$% &" % ."%7$33 "77$% %1 3$%"3;./ 1&"37$1%". &" 7153">1. .$./". "./7/3".*A%/". 8" 8"" #13#"." % "@5"/1 "% "3 %">1 &" % 51' "% ".5"7$3".3/ =. $51/%/" 715"%&" 31. 0%&"%/1. < 5$%7$5$1. 09.$71. &" 3 /"19"./7/3* O/"%"1.:

• L. "77$1%". &" 3 #$'*• L 0"? 71/%/" < "3 1"%/1 03"7/1 

A.. PROCEDI!IENTO

  E3 517"&$$"%/1 ."'$ ".:+* C" 3 53$77$% &".&" "3 "%/1%1 &" &".1331 $%/"'&1 &" MATLAB*2* D$." 3 #"%/% 5$%7$53 &" 3 53$77$% /$3$?%&1 31. 71%/13". %"7".$1.** A.$'% 7&$'1. 31. "#"%/1. &" 31. 71%/13". /$3$?&1.*4* D"73 3. #$3". %$#"3 &" 0%7$1%". < 711 #$3". '313".** I53""%/ 3 53$77$% 71% "3 .1 &" 3. $%./77$1%". &" &"7$.$%*

A..1. Dia"ra#a de $lu%o

E3 &$' &" 03>1 "./= "5"."%/&1 51 3 .$'$"%/" 0$'

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A.&. VENTANA PRINCIPAL DE LA APLICACIÓN

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A.'. CÓDI(O )UENTE

function varargout = viga(varargin)% VIGA MATLAB code for viga.fig% VIGA, by itsef, creates a ne! VIGA or raises t"e e#isting% singeton$.%% = VIGA returns t"e "ande to a ne! VIGA or t"e "ande to% t"e e#isting singeton$.%% VIGA(&'ALLBA'&,"b*ect,event+ata,"andes,...) cas t"e oca% function naed 'ALLBA' in VIGA.te#t- !it" t"e given inutarguents.%% VIGA(&/roerty&,&Vaue&,...) creates a ne! VIGA or raises t"e% e#isting singeton$. 0tarting fro t"e eft, roerty vaue airsare

% aied to t"e G1I before viga-ening2cn gets caed. An% unrecogni3ed roerty nae or invaid vaue a4es roertyaication% sto. A inuts are assed to viga-ening2cn via varargin.%% $0ee G1I tions on G1I+5&s Toos enu. '"oose 6G1I ao!s onyone% instance to run (singeton)6.%% 0ee aso7 G1I+5, G1I+ATA, G1IA8+L50

 % 5dit t"e above te#t to odify t"e resonse to "e viga

 

% Last Modified by G1I+5 v9.: 9;<May<9;> ;;7>?7;; % Begin initiai3ation code < + 8T 5+ITgui-0ingeton = @gui-0tate = struct(&gui-8ae&, fienae, ...  &gui-0ingeton&, gui-0ingeton, ...  &gui-ening2cn&, viga-ening2cn, ...  &gui-utut2cn&, viga-utut2cn, ...  &gui-Layout2cn&, C , ...  &gui-'abac4&, C)@if nargin DD isc"ar(vararginEF)  gui-0tate.gui-'abac4 = str9func(vararginEF)@end

 if nargout  varargoutE7nargoutFC = gui-ainfcn(gui-0tate, vararginE7F)@ese  gui-ainfcn(gui-0tate, vararginE7F)@end% 5nd initiai3ation code < + 8T 5+IT

 

% <<< 5#ecutes *ust before viga is ade visibe.

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function viga-ening2cn("b*ect, eventdata, "andes, varargin)%'entrar a G1Iovegui("b*ect,&center&)3=iread(&esuea.*g&)@iage(3)a#is off% T"is function "as no outut args, see utut2cn.% "b*ect "ande to figure% eventdata reserved < to be defined in a future version of MATLAB% "andes structure !it" "andes and user data (see G1I+ATA)% varargin coand ine arguents to viga (see VAHAHGI8)

 % '"oose defaut coand ine outut for viga"andes.outut = "b*ect@

 % 1date "andes structureguidata("b*ect, "andes)@

 % 1IAIT a4es viga !ait for user resonse (see 1IH501M5)% ui!ait("andes.figure)@

 

% <<< ututs fro t"is function are returned to t"e coand ine.function varargout = viga-utut2cn("b*ect, eventdata, "andes)% varargout ce array for returning outut args (see VAHAHG1T)@% "b*ect "ande to figure% eventdata reserved < to be defined in a future version of MATLAB% "andes structure !it" "andes and user data (see G1I+ATA)

 % Get defaut coand ine outut fro "andes structurevarargoutEF = "andes.outut@

 

function ra-'abac4("b*ect, eventdata, "andes)% "b*ect "ande to ra (see G'B)% eventdata reserved < to be defined in a future version of MATLAB% "andes structure !it" "andes and user data (see G1I+ATA)

 % ints7 get("b*ect,&0tring&) returns contents of ra as te#t% str9doube(get("b*ect,&0tring&)) returns contents of ra as adoube

 

% <<< 5#ecutes during ob*ect creation, after setting a roerties.function ra-'reate2cn("b*ect, eventdata, "andes)% "b*ect "ande to ra (see G'B)% eventdata reserved < to be defined in a future version of MATLAB% "andes ety < "andes not created unti after a 'reate2cnscaed

 % int7 edit contros usuay "ave a !"ite bac4ground on indo!s.% 0ee I0/' and 'M/1T5H.

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if isc DD iseua(get("b*ect,&Bac4ground'oor&),get(;,&defaut1icontroBac4ground'oor&))  set("b*ect,&Bac4ground'oor&,&!"ite&)@end

 

function rb-'abac4("b*ect, eventdata, "andes)% "b*ect "ande to rb (see G'B)% eventdata reserved < to be defined in a future version of MATLAB% "andes structure !it" "andes and user data (see G1I+ATA)

 % ints7 get("b*ect,&0tring&) returns contents of rb as te#t% str9doube(get("b*ect,&0tring&)) returns contents of rb as adoube

 

% <<< 5#ecutes during ob*ect creation, after setting a roerties.function rb-'reate2cn("b*ect, eventdata, "andes)

% "b*ect "ande to rb (see G'B)% eventdata reserved < to be defined in a future version of MATLAB% "andes ety < "andes not created unti after a 'reate2cnscaed

 % int7 edit contros usuay "ave a !"ite bac4ground on indo!s.% 0ee I0/' and 'M/1T5H.if isc DD iseua(get("b*ect,&Bac4ground'oor&),get(;,&defaut1icontroBac4ground'oor&))  set("b*ect,&Bac4ground'oor&,&!"ite&)@end

 

function -'abac4("b*ect, eventdata, "andes)% "b*ect "ande to (see G'B)% eventdata reserved < to be defined in a future version of MATLAB% "andes structure !it" "andes and user data (see G1I+ATA)

 % ints7 get("b*ect,&0tring&) returns contents of as te#t% str9doube(get("b*ect,&0tring&)) returns contents of as adoube

 

% <<< 5#ecutes during ob*ect creation, after setting a roerties.function -'reate2cn("b*ect, eventdata, "andes)

% "b*ect "ande to (see G'B)% eventdata reserved < to be defined in a future version of MATLAB% "andes ety < "andes not created unti after a 'reate2cnscaed

 % int7 edit contros usuay "ave a !"ite bac4ground on indo!s.% 0ee I0/' and 'M/1T5H.if isc DD iseua(get("b*ect,&Bac4ground'oor&),get(;,&defaut1icontroBac4ground'oor&))  set("b*ect,&Bac4ground'oor&,&!"ite&)@

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end

 

function a-'abac4("b*ect, eventdata, "andes)% "b*ect "ande to a (see G'B)

% eventdata reserved < to be defined in a future version of MATLAB% "andes structure !it" "andes and user data (see G1I+ATA)

 % ints7 get("b*ect,&0tring&) returns contents of a as te#t% str9doube(get("b*ect,&0tring&)) returns contents of a as adoube

 

% <<< 5#ecutes during ob*ect creation, after setting a roerties.function a-'reate2cn("b*ect, eventdata, "andes)% "b*ect "ande to a (see G'B)% eventdata reserved < to be defined in a future version of MATLAB% "andes ety < "andes not created unti after a 'reate2cns

caed % int7 edit contros usuay "ave a !"ite bac4ground on indo!s.% 0ee I0/' and 'M/1T5H.if isc DD iseua(get("b*ect,&Bac4ground'oor&),get(;,&defaut1icontroBac4ground'oor&))  set("b*ect,&Bac4ground'oor&,&!"ite&)@end

 

function b-'abac4("b*ect, eventdata, "andes)% "b*ect "ande to b (see G'B)

% eventdata reserved < to be defined in a future version of MATLAB% "andes structure !it" "andes and user data (see G1I+ATA)

 % ints7 get("b*ect,&0tring&) returns contents of b as te#t% str9doube(get("b*ect,&0tring&)) returns contents of b as adoube

 

% <<< 5#ecutes during ob*ect creation, after setting a roerties.function b-'reate2cn("b*ect, eventdata, "andes)% "b*ect "ande to b (see G'B)% eventdata reserved < to be defined in a future version of MATLAB% "andes ety < "andes not created unti after a 'reate2cns

caed % int7 edit contros usuay "ave a !"ite bac4ground on indo!s.% 0ee I0/' and 'M/1T5H.if isc DD iseua(get("b*ect,&Bac4ground'oor&),get(;,&defaut1icontroBac4ground'oor&))  set("b*ect,&Bac4ground'oor&,&!"ite&)@end

 

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 function !-'abac4("b*ect, eventdata, "andes)% "b*ect "ande to ! (see G'B)% eventdata reserved < to be defined in a future version of MATLAB% "andes structure !it" "andes and user data (see G1I+ATA)

 

% ints7 get("b*ect,&0tring&) returns contents of ! as te#t% str9doube(get("b*ect,&0tring&)) returns contents of ! as adoube

 

% <<< 5#ecutes during ob*ect creation, after setting a roerties.function !-'reate2cn("b*ect, eventdata, "andes)% "b*ect "ande to ! (see G'B)% eventdata reserved < to be defined in a future version of MATLAB% "andes ety < "andes not created unti after a 'reate2cnscaed

 % int7 edit contros usuay "ave a !"ite bac4ground on indo!s.% 0ee I0/' and 'M/1T5H.if isc DD iseua(get("b*ect,&Bac4ground'oor&),get(;,&defaut1icontroBac4ground'oor&))  set("b*ect,&Bac4ground'oor&,&!"ite&)@end

 

function a-'abac4("b*ect, eventdata, "andes)% "b*ect "ande to a (see G'B)% eventdata reserved < to be defined in a future version of MATLAB% "andes structure !it" "andes and user data (see G1I+ATA)

 % ints7 get("b*ect,&0tring&) returns contents of a as te#t% str9doube(get("b*ect,&0tring&)) returns contents of a as adoube

 

% <<< 5#ecutes during ob*ect creation, after setting a roerties.function a-'reate2cn("b*ect, eventdata, "andes)% "b*ect "ande to a (see G'B)% eventdata reserved < to be defined in a future version of MATLAB% "andes ety < "andes not created unti after a 'reate2cnscaed

 % int7 edit contros usuay "ave a !"ite bac4ground on indo!s.% 0ee I0/' and 'M/1T5H.if isc DD iseua(get("b*ect,&Bac4ground'oor&),get(;,&defaut1icontroBac4ground'oor&))  set("b*ect,&Bac4ground'oor&,&!"ite&)@end

 

function b-'abac4("b*ect, eventdata, "andes)% "b*ect "ande to b (see G'B)

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% eventdata reserved < to be defined in a future version of MATLAB% "andes structure !it" "andes and user data (see G1I+ATA)

 % ints7 get("b*ect,&0tring&) returns contents of b as te#t% str9doube(get("b*ect,&0tring&)) returns contents of b as adoube

 

% <<< 5#ecutes during ob*ect creation, after setting a roerties.function b-'reate2cn("b*ect, eventdata, "andes)% "b*ect "ande to b (see G'B)% eventdata reserved < to be defined in a future version of MATLAB% "andes ety < "andes not created unti after a 'reate2cnscaed

 % int7 edit contros usuay "ave a !"ite bac4ground on indo!s.% 0ee I0/' and 'M/1T5H.if isc DD iseua(get("b*ect,&Bac4ground'oor&),get(;,&defaut1icontroBac4ground'oor&))  set("b*ect,&Bac4ground'oor&,&!"ite&)@end

 

function dL-'abac4("b*ect, eventdata, "andes)% "b*ect "ande to dL (see G'B)% eventdata reserved < to be defined in a future version of MATLAB% "andes structure !it" "andes and user data (see G1I+ATA)

 % ints7 get("b*ect,&0tring&) returns contents of dL as te#t% str9doube(get("b*ect,&0tring&)) returns contents of dL as adoube

 

% <<< 5#ecutes during ob*ect creation, after setting a roerties.function dL-'reate2cn("b*ect, eventdata, "andes)% "b*ect "ande to dL (see G'B)% eventdata reserved < to be defined in a future version of MATLAB% "andes ety < "andes not created unti after a 'reate2cnscaed

 % int7 edit contros usuay "ave a !"ite bac4ground on indo!s.% 0ee I0/' and 'M/1T5H.if isc DD iseua(get("b*ect,&Bac4ground'oor&),get(;,&defaut1icontroBac4ground'oor&))  set("b*ect,&Bac4ground'oor&,&!"ite&)@

end

 

% <<< 5#ecutes on button ress in cacuar.function cacuar-'abac4("b*ect, eventdata, "andes)%+atos de os edit<te#tL =str9doube(get("andes.,&0tring&))@Ma=str9doube(get("andes.a,&0tring&))@Mb=str9doube(get("andes.b,&0tring&))@

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! =str9doube(get("andes.!,&0tring&))@a =str9doube(get("andes.a,&0tring&))@b =str9doube(get("andes.b,&0tring&))@dL =str9doube(get("andes.dL,&0tring&))@

 %verificaciJn de as cedas de entrada

 if isety(L)Kisnan(L)  sgbo#(&5 aretro est vaco o no es un vaor nuNrico&)  returnend

 if isety(Ma)Kisnan(Ma)  sgbo#(&5 aretro est vaco o no es un vaor nuNrico&)  returnend

 if isety(Mb)Kisnan(Mb)  sgbo#(&5 aretro est vaco o no es un vaor nuNrico&)  returnend

 if isety(!)Kisnan(!)  sgbo#(&e aretro est vaco o no es un vaor nuNrico&)  returnend

 if isety(a)Kisnan(a)  sgbo#(&5 aretro est vaco o no es un vaor nuNrico&)  returnend

 if isety(L)Kisnan(L)

  sgbo#(&e aretro est vaco o no es un vaor nuNrico&)  returnend

 if isety(b)Kisnan(b)  sgbo#(&5 aretro est vaco o no es un vaor nuNrico&)  returnend

 if isety(dL)Kisnan(dL)  sgbo#(&5 aretro est vaco o no es un vaor nuNrico&)  returnend

% 'cuo de Ha y HbHb=(OL)$(Ma<MbP;.:$!$(bQ9<aQ9))@Ha=!$(b<a)<Hb@set("andes.ra,&0tring&,nu9str(Ha),&8&C)set("andes.rb,&0tring&,nu9str(Hb),&8&C)

 % 5*ecuciJn de agoriton=LOdL@R= C@for i=;7n

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  #=dL$i@  R=R #C@  if #S=a  sta=@  ese  sta=;@  end

  if #S=b  stb=@  ese  stb=;@  end  V(iP)=Ha<!$(#<a)$sta P !$(#<b)$stb@  M(iP)=MaP(Ha$#)<(;.:$!$(#<a)Q9$sta)P(;.:$!$(#<b)Q9$stb)@end% 0aida de resutadosset("andes.V,&0tring&,V(iP))@set("andes.M,&0tring&,M(iP))@

 

% "b*ect "ande to cacuar (see G'B)% eventdata reserved < to be defined in a future version of MATLAB% "andes structure !it" "andes and user data (see G1I+ATA)

 

function M-'abac4("b*ect, eventdata, "andes)% "b*ect "ande to te#t- (see G'B)% eventdata reserved < to be defined in a future version of MATLAB% "andes structure !it" "andes and user data (see G1I+ATA)

 % ints7 get("b*ect,&0tring&) returns contents of te#t- as te#t

% str9doube(get("b*ect,&0tring&)) returns contents of te#t- asa doube

 

% <<< 5#ecutes during ob*ect creation, after setting a roerties.function te#t--'reate2cn("b*ect, eventdata, "andes)% "b*ect "ande to te#t- (see G'B)% eventdata reserved < to be defined in a future version of MATLAB% "andes ety < "andes not created unti after a 'reate2cnscaed

 % int7 edit contros usuay "ave a !"ite bac4ground on indo!s.% 0ee I0/' and 'M/1T5H.

if isc DD iseua(get("b*ect,&Bac4ground'oor&),get(;,&defaut1icontroBac4ground'oor&))  set("b*ect,&Bac4ground'oor&,&!"ite&)@end

 

function V-'abac4("b*ect, eventdata, "andes)% "b*ect "ande to te#-v (see G'B)

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% eventdata reserved < to be defined in a future version of MATLAB% "andes structure !it" "andes and user data (see G1I+ATA)

 % ints7 get("b*ect,&0tring&) returns contents of te#-v as te#t% str9doube(get("b*ect,&0tring&)) returns contents of te#-v as adoube

 

% <<< 5#ecutes during ob*ect creation, after setting a roerties.function te#-v-'reate2cn("b*ect, eventdata, "andes)% "b*ect "ande to te#-v (see G'B)% eventdata reserved < to be defined in a future version of MATLAB% "andes ety < "andes not created unti after a 'reate2cnscaed

 % int7 edit contros usuay "ave a !"ite bac4ground on indo!s.% 0ee I0/' and 'M/1T5H.if isc DD iseua(get("b*ect,&Bac4ground'oor&),get(;,&defaut1icontroBac4ground'oor&))  set("b*ect,&Bac4ground'oor&,&!"ite&)@end

A.*. BIBLIO(RA)+A

 

;//5:".*.7$&*71&17++4,,M/3-"%-E3-A%3$.$.-E./7/3•   http://www.fundibeq.org/opencms/eport/sites/def!u"t/#$%/down"o!ds/g!

""er&/methodo"og&/too"s/di!gr!m!'de'(u)o.pdf 

 

http://b"ogs.technet.com/b/ms*isio2010/!rchi*e/2010/11/22/p"!nti""!s+

de+di!gr!m!+de+(u)o+en+*isio+2010.!sp 

http://mis+!"goritmos.com/!prend!+!+cre!r+di!gr!m!s+de+(u)o