Esercizi d'esame svolti Scienza delle costruzioni - parte 1

Normalei noi 2Vy 'alal'd'a'a 'a staticomomento

22Az =Eda2= AsSxs Yaz == ..=↑ 13 za 3)ya3 2a == + 323322a22 a 2 SxAc Ca a = =.== .3aXaz = 3dzaYAz a + == 3Ea =22daAy Sxy= = .=zaxay 5a= + =2aYa4 2a += = 1622 32aSx116a'Al 2a42 42 === .=.3dXAl = 22Yal = PARTE CAVA22 a=&= 3d16a 125aa 2 Xoya =aA ==16+ + ,= =+ot = 2+ 34aa 32a 3aa=Stra + =- I 2)2t 58ayor)"(y0 (2 2122516 =As + -Fre + ,=. ,-= b 3) 2(40-X02)= 33a16(3 21Ac[gz + + =- ,2= y0z)" 95a45) 2=(ya (2 1Az 01252Fxz ++ =-. - , .,b 2 32 67a"= 2 (3(xo Xoc) =A2[yz + 0+. =-- . 22a"2(46-yos)"=+ [x45)(2 02 ==1251As + .Fr - ,,.b = 1(3 5) 33a" Iy4= (x-xos) 60As +Igz =+ =-. , ,0424[ [x4[x [x2 [xz 21++ == - x ,+ot 32d"[yy[gz[yeIy tor 33[ yz ++ == - ,33d 1252 87566 3 yc 0xc === -= - -- ., ~ )( m+ .= .+ My zaNN Xc675aN0 NMx2z =3 . = - (Sup)20yc = -= . .NEUTROASSE 50sa]=- 6 isos0P = o, ==+-· NEUTROASSE· ASSE DISQLUCITAZIONE sos = 5051yX 0 ==ASSE ,DIDEFORMAZIONE - yVy 69d0= 0X = .I'd'a'a 'all 22 NEUTROASSE (bancentroC Gpassa persollecitazione ediAsseASSE DEFORMAZIONEDI A+ N posso Gper. .+53 My zaNN Xc675aN0 NMx = . = -0yc = -= . . N--ae75a(a) 27N5N-No N=0064N +=,- ON-00052N-ANSN No2zx === ↓ 320 125 a,E,zoneX--ASSE DI 1DEFORMAZIONE Vy NEUTROASSE ho+ pot F=pot G- >- classificazione diverifichedelle RUL calcolo e.equilibrio++ +++++++ Ped C+ delle-F Calcolo Cas-E D ↓ diverificheL nododellediagrami cos ePola- B*- i11 I/ L LLGLOBALEpot G> pol- E +XB+xx 0=pot2po)+Yx yz 0=--i ()-+poL(E) poL(22)poL(22)pol" yB3L+ - -C -O poeF pot-pol"yB3L-epol"--h + o+ =5 poL2 =poL >3y3)2 +Pol =- =B= = pol pol3yB) gix >-+y HysXis = E polpo)S Xi polxx po+ X+ = =0 = =B+ PoE2poL-YA Pot 0:-=Y3 pot= pot EpoYA 2px) += -pol-pol =S YA pot==YB POLICORPO po)xA 0pol +xy+G =>- E -== =pol - pol↑ Xx po=S =polXA +Xc 0=- 2poL-poEYA Yc o=- - poE(z) PoL(L)poL(z)poL(22) v=xcLy(2) + -+- - - po= +x Epo↳ 2po-poz+y po 0 Yc-yc = -=- -- popolyc = =pot>pol2 poE(E) =PoL(L) 5 113poL()=> po(2 xcL-poL(22) v= =+ -+ - poLa4 polpo-pot 2post4 pol Espol-po-pot pol"-pol2023po22 2 po22 =+xc + == =+= - = ?pol=Xc popot G>-appa port↓ por7 > Vi-⑮ pol -po↑ - po pol↳ pol ⑳z1pot G>- EsErr -N(z)E po) potN(z) + =- 0=pot,i T(z) = pol=AS O M(z)& E polz= ,'5/ M(z)↳ zpol 0=0=S- P poLz=M(z)Lz =↑ - po popol↳ pol⑫2 ⑫3 0 T(z) 0=zC↓ =* -G PPol (z)(z +L ==> N(z)- 0=UN -EM(z)T(z) =pol=M(z) M(z)polz 0z == 0= l ZX :: =poF -P .M(z)M(z) Lzz = == 0 = 0 = -PeI poL2Ve M(z) xLz == =24 Po(z -L) E poLPol N(z) = -↓IPOE E po poL-poL1)T(z) po(z += -D -Epo) po- T(z) poL +0 == -zL =Lz - ⑮ pol 2) T(z) =pol E poLpol po)z +== :--Z farepo(z-1) anchepolz-EpoLzM(z) posso+ 0+ = !!Poz= El EroM(z) polz-polz-po(E-L) ↓/PeEpoL"-pol" EpoL >M(z) -Lz = == L-pol-pL3 pol2-2poL"- pot =27 M(2)2 1= po-4z +E pol2-Epol"2Epol = --⑫5 EgpoN(z)rit] = - EgpoLpo -potT(z) pol = -= EpoLzE poLZ-poLzM(z) += :⑮ pol M(0) 00z == EpoL 3M(L)=z =⑳s =M -po-poEpo-pol =>- N() po↑ == -2x]& EpoL-IPOL EPOL-POL= -AT(z) pol= = : -Po -po⑰B M(z) pol2-poLztI poLz= =-POL poL2M(z)0z -= = pol=0pol"M(z)LE += = -Q S-coy&/↳ 40E //= 18V2⑦ IO&=7E- J /I +- e& V2⑪,II I . O"FS-E /pol1 +biAL e- -I #L Fl>-- P +LGLOBALE EzL + = -+ F2FF↓ B =EF FypE yF = -S F FA Ya + Y or =--- =XXFXD == -E FEF) LME-FL-Fl 2)- 0+ y+ X =- -MF ++↓ nYFI EEFL EF)Mr 3FL +Fl2 += -- -- MF =Fl>-- XD4YaLLOCALE F↓ B FS XxXc Xx0= =- - IA FYp yc FYp0+ =- = EExcEFLEF)xc) xc) FlFl = -+ 0+ ==- = --FiL-I Fl>-- XD4YaLOCALE2 EF x↓ == -Es h 0- F yc↓ yz =yc -= -Ya YE FFlLY 0 yE= = --=- z EzF ↓1↓ iE htigt t ha e E N(z) 0↓ = 0TzSithat- 0= =EzzE T(z) T= F=- = -F Ez(E)M(z)2I = - M 0=z = 0- EM =L -=Fl>- F12 ZIF ⑫e⑳2 F N(z) F-=. EFEB E T(z) =N(z) = - E -EM(z) FL z& =YE -ET(z)E = - M(z)z FL0=+F(z =M(z) -F=( - EF)M(z)Lz = = -EMz 0= = - EFLLv Mz = = - E: L zxx : ==5⑳4 ⑫ E·E N(z)N(z) 2FT(0)E == = -0z =G -T(z) (2)0 2F+= ↓ T() EF= - Lz == -M(z) 0= F -M(z) (E)2Fz= - Mz = 00= E -⑭ M F2 F)z L == =- -· ⑦ B/*I ~F -O- --~111F EzEl-IliyA **(1"-I En" E/per +2m = 12+ 2 + 22 +3 4+n ==* & Pht +htt-GPEr Globale pol. I 0jet xX + ==~ E↑ polpolz peYA -polpoly+ y+ + 0=+= - -YF polTye-pote-poet-polo22poEMa + +* VERIFICA>- & + pol-pol-pol + pol-pol +YA Epol-polpol = o↓ Epol2-Spol" o+E -Spol"Pht +htt pol Epol 2pol -+ -+- ↑G H 421 137 126 ++YH --12 3LOCALE2LOCALE perpol=Xx,x 0=- XF↳ >M pol -YA yc 0+ ↑=-↑ !↑ yepo -yclMa 0 YD+ = polXF -=S XF+X 0= lEYA pol polYc- == pozpol OYp y+ =--=? pol-poltpoez 2)=Ma pol2- & 0+pol y =+ -Gpol'-potE poliYF2) +=Y"2LOCALE ↓ x =poet=2 PolE Yey-/ == polxcXXx = :poE-E pol polYp pol +=E pot/DY yc> = -E=XC plxpl ypl xx= 0- -4y 4LOCALE E↓ 0xc =Y Yc 0x =pol& 0Yc +YH =-Yaze-pr potYH0 ==pol↓ Pht +htt- IG P pol ⑳I 2X Po poez~↑Pol ste:pol Lepe Ep lN(z) = - ->- & ET(z) =PolT +pol Epol" zM4(z)↓ = -Pautty++ + E poet( M(z)z = -= 0H EpoezE M(z)zpol = -=⑤3⑫2 ·polzTeIt -N(z) =T T(z)> 0=- M(z) 0=- polN(z) = 212 pol= pol PT(z) + = l⑫ :zpo : =E) Pozzpot(zExpoe2M(z) Re(z)pol -per-+= +- - pol =N(z) pol= T(z)z 0=E poe-ze-M(t) =(z)+z == 12 pol- E polpolz- =T(z)Re +polEpolM(z) =M(z)C == - +z -= 2M(z) polz 0 == - P=-Re⑫5 -+"pol"M(z)e polz = -=poz# E polN(z) = poz-Spee- Se ⑫sT(z) = N(z)pol 0E polz-poz(E) =M(z) ↑= T(z) 0=M(z) 0z 0 == M(z)Exy 0:PeP?=polM(z)ez -==⑳ez7 Dez8N(z)& 0 T(z)= 0=0=z N(z)Poz 0=potT(z) Epoz T(z) T!= (z- poz O= -= T(z) =IM(z) poz(E)= - i poz(E)z M(z)& =PoE(f) -=E M(z) pz == -- o M(z)z 0= = opoE(y)EM(z) ez -= = =-Q·IGH Fr⑦ */& IG Re⑭y -=& IGHITAGLIO)AREEGEOMETRIA DELLE-ITxy =b2 -- zab(aS b) 2aASx yz == =.yo .= ,a (Sxz2 =2T-I x>& - -I I I22 GEOMETRIA AREEDELLEFORMULARIO ECCENTRICA NORMALEF .xYI 3aAl 32 -a ==2 2aAz a2a =.= ==X02 a yG232x62 2a= Yoz =XG >& Z = a322A1Ste yaz= =. . Eg3Sxro-↑ =- -I I 4932d2Ste 22 == ·II A Jaz=...; tot1 C =S = 3dXoYaI =2 -:= 2(Yo-yoAr[x2 + =4-225 d =(40-Yaz) =E= 2-2a)" 2Ex Az +2 :#20a6 dIxtot 3= , Ed -a) =d=bi 22+As(Xa-x02)[you + =:=Ld 17Iyoz 0= ,41Iytot 2= , Grispetto efletentiMomenti y- aNMx a)N -(2ayc == . c = := aNNMy xc.= NEUTROASSE 1= + 0=-IoT-0 32=p .-E se= 6500y- + == .1=g 320x 0=y -= .xY Asso NEUTROD 2 X· G >·----- IIIi Asse di deformazione. SolleCITAZIONEAsse DiNo -= + 0~ z 465rz(c) 1= , 717rz(D) 0= - . xY Asso NEUTROD 2 X· G >·----- IIIi Asse di deformazioneC SolleCITAZIONEAsse DiSolleCITAZIONEAsse Di22 II -Ty b cost= =y .eS- -. bAl a= .1 ZabAza = zabr Az22 3 =T** simmetriadiasse- >- x X zayou2dXGe == ZaYoza =Xoz =22 4 6 2X63 0 y23= =5 2abSyrAz Xoe =.- 2abSyz =Syz 0= 422b Ato SabSyra ===0b) dalla ↑elevato yo 03 =è +se =(ya-you) +ab(a)= b aAz#x= zab(-2a)" 8 aFr = Gabb 2abzab22ab( a) =Ixz ++ == TracciatiTrai I= 26ab22a3)ab( E#x + =+ =o+ S