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Esercitazione SpostamentPATRUNO 14/05 Isostatiche Calcolo-a

,# 1) VINCOLAMMeaz9dddd 2) CDP diagrammiCB D e*S F 3) Deformata6) de Plucomposiz crematicava epae5) Spostamenti EInA E-11/1 che ES Ha0 0=theHA =B Ve HeV 0092+ ==- eA VEpl-ze2Ma 0 =+ ve =-& eVa-2 =V e +.MaA eMa#E =>- -/// ⑤HEHA 0e↑ =.va ↑ ve2) d- tratto CDPdeB rettaF AB cretto CBC dretteDEMaAc #*va comple* ·opFo·M gez1-zA E- *11/ - 111/↑ Fal es e2 2&el "it C D0 ·SS [ -e +F -Mel 0qz =T +- 2Z ⑭p7@elT = -2 g AA EE -// ~S S.... -ICB D· OS FOA E/ Aa) d al eD2① =ve .OF· CapitoHoNon⑪ aVe⑪ . =B 2un"Va'Wa + ==AFPLV : c↓ 2MEstr fittizia B D =2 F 27MiBC = 2-- 7)z) al(e(l 0pe =+ +M +- .2Ma - zM =A 2E f&A e 2n. MAB =LVE 1 . === A= MFzcMot z= z1(VI =.=settembre11 2023ESAME eES B . 3GdL = Str 3iperstaticavolte .devo3 rimuovere GOV-->-6GOV =② iperstatichey Incognite*, eMax =-I① y MaB MBC= =- CONDIZIONI CONGRUENZADI :4AE = 0&· YBC=BaI MABK2MAL + 0 Maz 2 MA= -=# ↓funzione Madituttoscrivo inMYBA -= --+ 8 Ma4 MaM += = ==-=- - MAB=- Ma MBCMa ==Ma dinotazequilibrioalla Brispetto :scrivo a=MBc-1922 0Ve -V2+ =-=VeVa 29)( V 2q ga29)+ = eh0 VaPe=- -= = - =-- Enotaz diequilibrioalla Brispetto :scrivo aMa MaHa e 0- =- #t-9-Hal-Galk* HB GeHa- Ho0 =09 =+=QH O perché Forizzontaliorizzontali rioltrein ci applsono= reaznonc alTe D-e d-T 9) -97=+ alT 9z- 0=# -2↑ 9 9-=2) Diagrammi e-e Q# 8① 13eL] #& ·V (eo?Eal "yT ④...... 49a 9pUc =and4) = -Ge4 33EIlartionariosenso 1)CES Diagramma TangenzialTensioniB = 100A mmEs b 1mm=-D 1Se 29I ↓ 2) verifica resistenza Condie CITEMO· MISESDI1 200150 L Gam =9 = 1000= mm mm2mm--BB +(2b =SB 500 36=Atot mm.= = 55b+B 2 ==. ETrasportodelregolascon DyA+[xo[xx = . d yd)(3a - )B-b) 2Bb(B)(B -2Bb + +Fxx = .+2[ -++ [++b %+= =+zbB3 3 + bB13S= E)2) 3)b51(B s(ynB bB2bGr(+S(51) ,B+ 16B2- - === = 0- = - ,jbB B) 556B(92) S(E B) !bB2b.32( -s 0+= -= -= =- .20b3z/B 3) E) 2B)S(53) 11b3(B+ S(Gz zBb 11 B== -= = =. 10⑳ 132b1= ,B)=s(zy -B(B= bB(-11B)= bBHbB 70I 0= =. ,== 59001000 N50Na =. -2727-al 50-1000- =T == 10002Gal2 gogogogEMa n mm50 -= == -.A92 Ai 1↑ ↓· G* s I B--BB =eTasJUMAWSKIFORMULA DI : setes" 0(51 0= = bB2)tas" 27273-1 bE)(51 01 =-= -= 3bI .& B)(3 eb)Tas 27 (-055= = .! a)(33Tas 0==Tag (0,70bB)=(53 :↳" +27/bB](B)Tas (Sy ==(B)[zs = 0 (0-16(G) e se=Ts , ob)--2MTS(A) = *** A- 1↑ ↑ T·M& 1 -TBB6z +- = N aMe118 162= y = ,- op()- ,359=4 = I MPa= o 9050909 56- MPa439T13755552) == = -(y .B- 359 64, N--A ① #G ⑦ ⑦ ⑦B A- 439 56182118 1 6z,359+(A) 66118 Mpa182 477 86 == ,.,Gz(g) MPa118 182= , 439Gz(B) 56 MPa118 182 321 4== - - ,, ,1beg(A) 8) 2 74)2 MPa<661+ 263 XGam0431 == - ,, ,V182)" 07)2Geg(g) 316 187(-168+ 3 Gom18= X=., ,,(B)Geg Gom4 X321 >= ,1375bB31I = , ACOMPITO20/06/2014Esame -BEs 3GdL incognite= 3dele1) -6GdV = Iperstatiche1 a i#Ama B↑ TVBva congruenzaCONDIZ di :9 Sd Ca o=· D PiscUBf =YCB YCD↑ Va =M↑ ↑ VBva!In = - 5z26 IMi =- =-#4MBA" - M== -↑CB -M-M= 2 =-Mi2 +- GE)=+G&MAL +MA + GEI= Ma 10 Ma= 2-R =- + 2 2- =BIMa-IM-MA MB ==3 3 248-6 seMB ch= .--Aleseal 12Vi ==VbL-& VDX0Mc: + =d*↑0MaM Va=+ MAM -=AJo↑ ↑ VBva Ha VaVeHa + 0 = -= al -9 Va Vi0 +Va =VzVA =+ + -= LVeq)Ma 0=V 3) 2VB 2) .+ -+ - .--B Va 2)+ Ma 0Mp - =Ra VRXR Va=+ =E29-VB VB= 23-a-2 qX2VcX + += 2 -Va =3382 3969+2) + - -=304=Hae 12qz+T -F↑ z)p(=T -· B ·2) 3)DIAGRAMMI Deformataa ·al488 ⑤ e① ⑦⑦ ⑦a / I# i--sa N⑤ I⑭c A SGaz -Tr -Joh-a) =?CB M-M-M = ationarioESC -L 39=Na = 49al =Ta =292 Num328947M == 304GBbAtor =↑ Xy 0= =+=034 B(2[eB B.BbB( 3Bb+2 +-=Ex + -intt Sr> b + B+ B8bB3 + 6+ ++G& = =S =% 18() BS((1) B)51b S(1= . -= =(9) ) -S(2) =252b S((·= =VY 253b(B) 2) B2b2S(GS(53) == =)s(3a) 23b(B -Br2 += zBb bB)2BD(90B)S(j) - 32+ == = - )zB) zBb zBb(zBS(Gu + 2= . == += =zB==eToorawsklFormula di : se-↑ )=(5tas" BB)Tzo"0 (Ge =-0= = Ouscett=↑5 32m isi77777 [5TL G& L ·* LSit---33 VYTzo (92) 0 -)(32 ==( 0Ezy == CO-usB) Tzo"%(53 ) =(33 T=Tis == 0FebTzy) 0) Be t(Ga == eS = so2) DIVERIFICA MISESMESISTENZA CITEMO DICON= 2006 3Ts Gam Gam =+ mm50 L 1000=9 mm= Apm (- 10N10965 Ma·965210 , ===II-3 -ht 6== B-20-21 9 Ma=Z ey ,↓ BMPa+ 965 Mpa10 586, .- -gen +t* t =u~ --B - 93 MPa 621 z- ,VyEsseSempSagca-V v138s)2 (2 46572 <+ 3 Mpa Gom125. =, . ~V643)"(182 +Geq(B) 2 MPa3 Gam28 65.= =,, ,ESAME 20106 BCOMPITOBEs 6 incogniteGOV = IPERSTATICAd 33 Pv -.- iperstatiche3od =N. ↓FISSINODI cerniere3metto↑ B⑤ S Ya 0=YBA YBC=↑ YCDY =CBS =MT =MBtra ma -M-- --Misfunzionetuttoscivo in di= MM- M = -3 2- MisMi2 EMB+ GMc - = -= .12-- -2Mis -geMis == +Mc ==MaE7Ta9L2 He 0Ha + =ent> = aglHA Vi 0V ++ V = V-- E↑ Vall-Hcl-al-Vil+ ++va & +E-9. :V VD +E gle=. =3) gete-ve =+ ov=pe-zee-- VVi = te= ex-ae-Hge +