aplicatii 1

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:3it Aplicatii de Inginerie ge.olehnicir partiali i'u- pcnrru un frr:nt de I m lunginre (r'uloriie din paranleze pr diagrama din figura AII.ZJ: Strat 1: cu= ?0*, s'= arctg{tglilll,:5} = ?4.fi". fi:dl" = 2*[,s,,, F = fi*: rrzultfl kar = {}.393i F*$ = } 8.50 x '1,8fi .x {},39J = 34,9t}kPa la baza xtratuluil pool = 15 x{}.393 =$,!}fltriPal Purgrr=34..9ilx 4,8{} x lZ= 8j,?6kl{; F,,igr =F-,*nI tgt ru-ti) = S3.IffliNl Porcsl = s,St) x 4-8{l = 28,32k[{i Porqr, = Prrrqh / tg(fi-S} = :fi.12kh, : $trat 2: fi = sflo,$'= aru^tg{tgj0/t,zs} * r4,B*, fi:zp'/r = l6.s*, p = (}*l stratulr-ti $i }:rr, = 3$.99 + l{i.ifi x l,ifi H $,349 = 3$,4$hpa la baza srratului; Furt*h * t36,48 + 3tJ,{}9) x. :,5 f 2 = 5{}"6 lk};, Far.+r E Pu:sh Irg{u-fi} = l4.FSkNi pnql,,= l5 x {}-349 * S.?-lhFa: Farq}: = J.2j x i,S{} = f ,BskN, p,uq,.= Pnlqh / rg{u,-St = 3,3?kN; .'tplirrind coeficientuJ parlial *gal cli X,sil pentru imping*riie din sarcina q {pern:lan*r}tr nefavorabiIe}_ se, nblin*: Trnpingerca val*arc C*e tk:icni valuarr cilrilct*risticE pmr{iu} dr: caicul Pii lqt, :B.3ZkFi I,3t) 36-$2 Fu i,r" ?H. I 2klq 1 .]fi 3{i.S6 I];,lqt, ?.85kh 1,3[} 1dI.20 F*;,;,' :,3zklt'tr I "3il 3,0: IPnir., = I I t.3SkN, fP*,,. = I 3?.?Skl{, 7.1 T rrf;ficf,ri GHt) $i s'rft [m grr.rpsr#ffi A3+h,,x2+ffi tr " aJ Verificfirefl la lun*care,'Vr* Hfi; -r- Ep6' - S3S.lSkNl Id, = ff,nit =j 1&j,39kN;N= Vpos? +H,sinT=553-3?kN;T* Hrr:r.rli] V,sin? = I14.H2kI-l '. Eri; fu = Ntgfi * J35.15 x tgl6.5 x 1S3.89kN qri c*mdifia 8,1 { It6 f,stc inrJcplinim. h1 Yerlfiff&r*fl tra rfisturmfirc. ht, = El H 3?S.Stlkhinu Mn ; Roi = 135.5.fr8}iNrn qi comdifia E*r $ ffi4 rsto fndeplir:im, trl \ierifig:&refl prc*iunii trmmsmiss tenenului" v, :; s-ls,l skN; h{ = 3-{.s9kNrTTl e = M/\,tr = {},{}4$in; 8" = S *- 3e - l. l 6rn: l_' * L = 1,("}{}n:,, gr = \"! / (f3'L' i = l 6tlkPa: No = 1fi,,14_ Nr = ff.73; hr, * bj = [],fis; s,, * $.i = t "trfi; m - 1,14; i,'i = t].59fi; it.= fi,3$fi,: 11' = l(J.S() x l,ltl * l l,S5kpa: pi in final flp = ] ISkPu; condigin p s cp nu e sre ind*piinirf,, Zitluri de sprijin 135 Se mareqle lfl[irnca B la 3.65m, $f, rn*dificE fundalia ca in figrrra &11.2 pi t* lirre seilmn rJe irr-rpingerea pauivfr ir pfrmhnlului din fatra zirlului , Sr- reiar r,,erific[ile, Se ohline: G7 = 131..+{}kN; Ef;i = 42t}.:t}kj{. kpri # 3,85, Fr;,h = Ifi,Sfi x 1,50 x 3,85 = 60.64kPa; Plrir =,+5,,48; Fr,.,*,Fpi,tgfi * I3.4?kN: FI, = 1S1,3$ 45,48 = 135.Blkh = 8,,; Vr = 42[}.?il + l3?.?5 I3.{7 = 544,48k1!: ft1 = 544,48 x tgl6,5 = I61,.]SkN > Ftrr; zidril verificH la lunccftre, IVII = 3,10P*rgrr * (I,T3Poish * 3"$()P,,lqii * il,?sF*tqrr = 44?,fisk-hl h'to = i",40fiI * t,t5{fi1+fi3j + 2,?il{#4+G5i + 3-3?G6 + l-82G7 +;+,{hiPorqu * 3,65Pg"n + J,77Pn1q* + 3.fiSFo1qu + ft,SfiFo5 = 1320"38lElrm pi zidul vrrificfi Ia rf,sftrrnar*; h,{ = h{r-- h{s = -fi7?,53kNm, * = - (Ei? +.M/V,i ='J.?Jl.rftl fi' - 3.*5 ---2* = }"3tJ$tn qi prrsiunrn pf; t*r#n *str p * 54-{,48 / {f,?{lH "{ tr,{}{}} * I?{}kf'H, Hri - 1{}"44; Nr = ff.?J- }ru = b,* * ],fi{Ji sq'* 5r = I,ff(}l ffi? = }-':Jfi. i,, =- {}. /ilI; ir * fi.52$1 q' = it},sff x 1,5fi H 15"?5kF;U 6i tn tine} ilI} = lSSkPru nftnditia p 6 Cf' este inckplinitfi" d l Yeriflcanea rustului elevngir-firmda{ie {pr*iectutr*m strut*tmrelf; fi aidului;. vt ; Zsfr,0frkN: fo{l = I-qq.sskNm; }tr1 = I},nrsh + Fai,jh 5 I?t]'51{kN. ixr:enti.icitilrr:u fuqr:i Vl r::st* cl - MI I Vl :* i}',?:irn, iar' pts,$iuneit transmiu* cie micvir{in tundir;rei sil'r-, valt}rifu: i;xtrr*:m* pii*r.-. - :tri}H$lFir gi puri* = - l"}.SkPa {intinctere}- Vcrificfrrilr s*Ctiilnilor dr: la trrpt*le din ei.*vati* $f, i'irr ln fei" iiii' rer.ultatele fin-.rle sunt au*learyi ru r*lt dirr grupilr*fi A1+Sti+-tti qprrl'sd;rr'fl;r. trsr*lnr {lI0/2[];, S) Vqlri{icar*a la stsrrn limiffi UI't Apir suhterun;i are un eier:t r1* ridi*are it s,iulului" Pr*siun*fi rl* ridicilr'*;i npci *$tc.*galf, *u h,nT*.undfl h,-,,rsIE ?nEllinlea stratului cle apa suht*rullfi" iar T,,u er;tn l{reutrtleri{ r,#iunricfl e aptli. Veritlcflr#a [* smrea limita ultin:# dr riulcan: hldraulir":$: {UFL} se lirce punfind cnndifia tr'dr*"rr S G*th.n} + ${*, unrie Vdsr.., *r;t* rilrnn valorilnr de calcul alr uctiunil*r ve.rricale.perTnil.nei:t* ryi variahile tl*stahiliratr:sre- firrl,.ct e ste suma valnrilnr de cnlcul ale ur{iunilt::r ucrlicnlr peiln"d"nente str.abilieirlL)firc- iar Rl *st* vnlnarca rls calr*l a r:ricf,rei lrlts rezirtnnlt lu rieJicare. C*nfar:u Anexei natriunal* Sfi" fl5 lpST- i:3,[]{} "1" cor:ficientui pilryal n*ntru acliunea p*rmanenrt f avnrutrilfr *sts {i,9{J respflcliv 1,t]il prntril crta ncfavrrrahilA. iar pflntrll asliunnr{ t*mprtrarfi nelav*rahrilf, cmeijr:inrlt ul panial *sLc 1 .50. (l*nsidcrand presiunca d* ridicare n upei cil ac{iunn penrlr}n*rrih {niveiul apci rlu pr:ate cr*girJ nefav*rahitrfr, V,sr1-rr H lfi.{}ft x 1"3{} x 3.?5 n l.{}{i = 4J,52kh; i's-a rr:nsiil*rat

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  • :3it Aplicatii de Inginerie ge.olehnicir

    partiali i'u- pcnrru un frr:nt de I m lunginre (r'uloriie din paranleze prdiagrama din figura AII.ZJ:Strat 1: cu= ?0*, s'= arctg{tglilll,:5}

    = ?4.fi". fi:dl" = 2*[,s,,, F = fi*: rrzultflkar = {}.393i F*$ = } 8.50 x '1,8fi .x {},39J = 34,9t}kPa la baza xtratuluil pool =15 x{}.393

    =$,!}fltriPal Purgrr=34..9ilx 4,8{} x lZ= 8j,?6kl{; F,,igr =F-,*nItgt ru-ti) = S3.IffliNl Porcsl = s,St) x 4-8{l = 28,32k[{i Porqr, = Prrrqh / tg(fi-S} =:fi.12kh, :$trat 2: fi = sflo,$'= aru^tg{tgj0/t,zs} * r4,B*, fi:zp'/r = l6.s*, p = (}*lstratulr-ti $i }:rr, = 3$.99 + l{i.ifi x l,ifi H $,349 = 3$,4$hpa la baza srratului;Furt*h * t36,48 + 3tJ,{}9) x. :,5 f 2 = 5{}"6 lk};, Far.+r E Pu:sh Irg{u-fi} =l4.FSkNi pnql,,= l5 x {}-349 * S.?-lhFa: Farq}: = J.2j x i,S{} = f ,BskN, p,uq,.=Pnlqh / rg{u,-St

    = 3,3?kN;.'tplirrind coeficientuJ parlial *gal cli X,sil pentru imping*riie din sarcina q{pern:lan*r}tr nefavorabiIe}_ se, nblin*:

    Trnpingerca val*arc C*e tk:icni valuarrcilrilct*risticE pmr{iu} dr: caicul

    Pii lqt, :B.3ZkFi I,3t) 36-$2Fu i,r" ?H. I 2klq 1 .]fi 3{i.S6I];,lqt, ?.85kh 1,3[} 1dI.20F*;,;,' :,3zklt'tr I "3il 3,0:

    IPnir., = I I t.3SkN, fP*,,. = I 3?.?Skl{,7.1 T rrf;ficf,ri GHt) $i s'rft [m grr.rpsr#ffi A3+h,,x2+ffi tr

    "

    aJ Verificfirefl la lun*care,'Vr* Hfi; -r- Ep6' - S3S.lSkNl Id, = ff,nit =j1&j,39kN;N= Vpos? +H,sinT=553-3?kN;T* Hrr:r.rli] V,sin? =I14.H2kI-l '. Eri; fu = Ntgfi * J35.15 x tgl6.5 x 1S3.89kN qri c*mdifia 8,1 {

    It6 f,stc inrJcplinim.h1 Yerlfiff&r*fl tra rfisturmfirc. ht, = El H 3?S.Stlkhinu Mn ; Roi =135.5.fr8}iNrn qi comdifia E*r $ ffi4 rsto fndeplir:im,trl \ierifig:&refl prc*iunii trmmsmiss tenenului" v, :; s-ls,l skN; h{

    =3-{.s9kNrTTl e = M/\,tr = {},{}4$in; 8" = S *- 3e - l. l 6rn: l_' * L = 1,("}{}n:,, gr =\"! / (f3'L' i = l 6tlkPa: No = 1fi,,14_ Nr = ff.73; hr, * bj = [],fis; s,, * $.i = t "trfi; m

    - 1,14; i,'i = t].59fi; it.= fi,3$fi,: 11' = l(J.S() x l,ltl * l l,S5kpa: pi in final flp =] ISkPu; condigin p s cp nu e sre ind*piinirf,,

    Zitluri de sprijin 135

    Se mareqle lfl[irnca B la 3.65m, $f, rn*dificE fundalia ca in figrrra&11.2 pi t* lirre seilmn rJe irr-rpingerea pauivfr ir pfrmhnlului din fatra zirlului , Sr-reiar r,,erific[ile, Se ohline: G7 = 131..+{}kN; Ef;i = 42t}.:t}kj{. kpri # 3,85,Fr;,h = Ifi,Sfi x 1,50 x 3,85 = 60.64kPa; Plrir =,+5,,48; Fr,.,*,Fpi,tgfi * I3.4?kN:FI, = 1S1,3$ 45,48 = 135.Blkh = 8,,; Vr = 42[}.?il + l3?.?5 I3.{7 =544,48k1!: ft1 = 544,48 x tgl6,5 = I61,.]SkN > Ftrr; zidril verificH la lunccftre,IVII = 3,10P*rgrr * (I,T3Poish * 3"$()P,,lqii * il,?sF*tqrr = 44?,fisk-hl h'to = i",40fiI* t,t5{fi1+fi3j + 2,?il{#4+G5i + 3-3?G6 + l-82G7 +;+,{hiPorqu * 3,65Pg"n+ J,77Pn1q* + 3.fiSFo1qu + ft,SfiFo5 = 1320"38lElrm pi zidul vrrificfi Iarf,sftrrnar*; h,{ = h{r-- h{s = -fi7?,53kNm, * = - (Ei? +.M/V,i ='J.?Jl.rftl fi' -3.*5 ---2* = }"3tJ$tn qi prrsiunrn pf; t*r#n *str p * 54-{,48 / {f,?{lH "{ tr,{}{}} *I?{}kf'H, Hri - 1{}"44; Nr = ff.?J- }ru = b,* * ],fi{Ji sq'* 5r = I,ff(}l ffi? = }-':Jfi. i,, =-{}. /ilI; ir * fi.52$1 q' = it},sff x 1,5fi H 15"?5kF;U 6i tn tine} ilI} = lSSkPrunftnditia p 6 Cf' este inckplinitfi"

    d l Yeriflcanea rustului elevngir-firmda{ie {pr*iectutr*m strut*tmrelf;fi aidului;. vt ; Zsfr,0frkN: fo{l = I-qq.sskNm; }tr1 = I},nrsh + Fai,jh 5I?t]'51{kN. ixr:enti.icitilrr:u fuqr:i Vl r::st* cl

    - MI I Vl :* i}',?:irn, iar'

    pts,$iuneit transmiu* cie micvir{in tundir;rei sil'r-, valt}rifu: i;xtrr*:m* pii*r.-. - :tri}H$lFirgi puri* = - l"}.SkPa {intinctere}-

    Vcrificfrrilr s*Ctiilnilor dr: la trrpt*le din ei.*vati* $f, i'irr ln fei" iiii'rer.ultatele fin-.rle sunt au*learyi ru r*lt dirr grupilr*fi A1+Sti+-tti qprrl'sd;rr'fl;r.trsr*lnr {lI0/2[];,

    S) Vqlri{icar*a la stsrrn limiffi UI'tApir suhterun;i are un eier:t r1* ridi*are it s,iulului" Pr*siun*fi rl* ridicilr'*;i npci*$tc.*galf, *u h,nT*.undfl h,-,,rsIE ?nEllinlea stratului cle apa suht*rullfi" iar T,,uer;tn l{reutrtleri{ r,#iunricfl e aptli. Veritlcflr#a [* smrea limita ultin:# dr riulcan:hldraulir":$: {UFL} se lirce punfind cnndifia tr'dr*"rr S G*th.n} + ${*, unrie Vdsr..,*r;t* rilrnn valorilnr de calcul alr uctiunil*r ve.rricale.perTnil.nei:t* ryi variahiletl*stahiliratr:sre- firrl,.ct e ste suma valnrilnr de cnlcul ale ur{iunilt::r ucrlicnlrpeiln"d"nente str.abilieirlL)firc- iar Rl *st* vnlnarca rls calr*l a r:ricf,rei lrltsrezirtnnlt lu rieJicare. C*nfar:u Anexei natriunal* Sfi" fl5 lpST- i:3,[]{} "1"cor:ficientui pilryal n*ntru acliunea p*rmanenrt f avnrutrilfr *sts {i,9{Jrespflcliv 1,t]il prntril crta ncfavrrrahilA. iar pflntrll asliunnr{ t*mprtrarfinelav*rahrilf, cmeijr:inrlt ul panial *sLc 1 .50. (l*nsidcrand presiunca d*ridicare n upei cil ac{iunn penrlr}n*rrih {niveiul apci rlu pr:ate cr*girJnefav*rahitrfr, V,sr1-rr H lfi.{}ft x 1"3{} x 3.?5 n l.{}{i = 4J,52kh; i's-a rr:nsiil*rat

  • ?36lpti**lii de Inginerie georehrricil

    1.'+'= l0kN/mji' Gqrb.c = 0,90v = 0.g0 x 535,15 = 4gl"63kJ{. R.1 = tl 1;irondifir \id*t,tr S Gstb,d + nh este indeplinit[.Aplicafia 9J' sa $e proiecteue un zid de sprijin de greutate pe ntru$ulifinerea taiuzului

    .u tnalfimea de 3,{)fim din figura Ag.i. straritica{iaterenului qi valt:rile caracmristice. alf, prrramerrilor p[nriinfului sunr prccizatepe figurt.Solufiar

    lJ Alegerea materialuluin ft formei r*cfiunii transversap pi rdimensiunitfir" t**utuio. Avflnd tn rnedere inillirnea de spri.finit Eistratificafia terenului. se alege un zid dr sprijin din gahimane (cu lirnrlalie dinbetcrnJ cu f$rnta 5i di,nensiunile sectriunii transversale clin fig*ra Ag,i.Fentru beron $e $ftnsidera v = r4kF{iliji;;_ni* gabioane gi nrilrerialul dindren se consideri i' = tgkNlm-i';;';lege adf,nciilrea d* funclare f); = I ,sprn.rezultfind tnaltirnea tamlfr H * 5,00m a zidului. respectiv inf,tfimea pe carese caicttieaza ?ypi*gerf,r pamfnturui

    'a ii de s,2r m.?) Creftri*nfii paitriati.

    ffir:e*

    ----%**---kttefavn$bile, *%_ l-.JI _ I,ci_c'q-fi$iq,ti pffisrfu

    ___-r_ri:----rgII

    __

    1,{}(} --l .?s

    valori tu*,iffs -l'ojl-SfUat l l7o 13.7"

    Val*tri de calcul cStrar 2 l7' 13"7"Stritt 1 l0kPa SkPa

    '% SrrrtZ lfikpa gkPa3i G*-t-t-.;,r*t **#ffi atepentru un trunri{rn cu }ungimeA de Inr. R*eurtfi: ridului:l = ]"H .,i 1,0{} x f p,tft = Ig,00k}i;r:/

    = t.5u x 1.0fi x 19,00 = Zf,S0kNGi

    =:,0{} r 1.00 x lg,OU = Ig.fiOkN:ff4

    = 0,I0 x I,{}fi x r g.t}t} = ;,ti0;n:"GS * 0,20 x 1,0(J n 1g,00 = ?,60kN:Gd

    = 0.30 x 3.r)il x re.uo = i;jili;i*Ifi7 = 1,50 * l,!tl x l,t,t)0 = ?S,60kN:fi 8 = t],50 x 2.fi0 * :+.tffl / Z _ I Z,tl0klr{:

    Ziduri cle sprijin 131

    GS = 2.10 x 0,5{} x 24,00 / 2 = 12,60k}tr1GI(l - U.3t x 0,70 x 19.00 l2 = 1,40ltl\

    ECi =!15.60kN4) tmpingrrea pfrmfintului [n grupsrea Atr +['tl+Rl , Planul pe

    cffe rrc[ioneazf, imping*rse pEmf,ntului este considcrat a fi planul ABt]"

    il.9151 ke*n = {},875; pur, = -? x It} x 110.8?5 = -18,?lkPa Jrr r*uprafalfi +i Fah =-18,71 + 19,80 x 3,?1 x 0,915 = 39,451#a ia bazn stratrrlui; diagurma depresiune activ6 se anuleazfi ]a l,il3rn de ]u punctul Ai Parh = 43.{J{J; F,rir;I;1,1SklitStrAt ?: ff, = 1t]4o, S' = l?o, S:2$'13 = 1tr,3*, F = $'. c' = l0kPn; r,ezultl] k-n= U.?81 ko*n = 0,?t{, F*t = l9,8tl x 3.21 x t},?8 * 2 x lfi x ritJ,?$ = 3 I -Str kP:r }ul;urrrafa[il 6i p*h = 31,91 +- 19,80 x 2,0[J x [],?8 = 62,S[}kPa ia i:aza str*tr"rl*i:Parh = 94,7 I : For,,. = 4"47kN- Aplicfind cueticierrtnl parJial egal cu 1 .-{5pentru tmpingcri ipermirnentc nefatorabile), se obline:tnnpingerca Valnare Cuefirient

    *aractel isticfi par[ialPerh 43'0UkNPol., l3,l5kNI'o:1, 94,? l kNP*1,,, -tl,4?kll

    IF*,i;, = I 85.9lkN: EFri-, = I I,72kN,5) Verificf,ri GE(} gi STR in grupnrea Al+t\{l+HL.

    a) Yerifir:flrefl la luntcart. Yr E f,Gi + IP*,'= ?15.6t) + il.?J =2:,?.33kh{i Ht = fP6p = 185,9lkN. Planul qie"lunecilre r:ste inclinat fala d*r:rizt-rntaLfr cu 13,,+o; i{ = V,cosl3,4 + Hrsinll,4 = 264.2?kl{: T = I{,cr-1s13.4-

    Vrsint3,4 = J38.1?kH s E.ll R*: = Ntgfi= ?fi4.:?tg11,3 = s?'llfJkHCunditifl .U,d d R.r nu cstn indepiinitfi, Se va lua tn crnsirlerilr* +i rezisl*n;apasivdap'.rrnfinruIuidinfa1aridului.Pentruft=90",s'i 1,3*, F = fi. s* thline kpr, = i.35; kp.r, = 3,31); ppn =l 9,t{t} x f,D0 x f"35 + lx l(l x d:"-10 = J l3.39kPal Ppi, = 1?3*39kh; PF' = Ppr,tg8 = ?4,6f:kl\; ;impingeren pasivE sste o acliune perrrtr,nenth favnrabilh +i firH decicoefictentul parilIil cgal cu I,[](J; Vr = fGi + IP,,1, - Pro'= ?15.60 + 11,?2 -34.66 = 2{}3.66kN, H, = IPui, -- Pph = 185.91 -113":}9k}l = 6f,5?k-l\il N =V,cosl3,.,[ + H,sittl 3,,4 =' '3l I,63kh'] T = H1cosl3,4 - V,sinl 3.'4 = l3,tlSkh' =

    i,351,35i.351,35

    Valoarede calrul58.05I ?,?5l 2?,Bfi

    - 6.03

  • :3 tJ Aplicatii dr Ingincrie ge*rchnicfr

    E*i; R.i ;r I{teE= J{J2,66tg Iindeplinit&"

    I,3 = 4fi"4,9h1j (lomdi{ia Ea S ifu esre

    b'r id_E7 IC'

    !

    . n.s$ .-.+.-----.+,

    ,FlE. A';. ih.t V*rifnagrea la rfrstunmfftr"f..ful,

    = [,_, = Z.?3purn + fi.3$I]*:i., + 1.3?p,,;, -193.3 Im'+iirr; fu{, = Ru - I.4tlfil + l--15fi: + I.3t}fi3 + J,{}t}il4 + ?.2fifis +2,45fitj'{- j,L}sG? + ?.:?G8 + i.4t}Gg +:,:l?filfi + J.fifip,,r, + [.ITF,,1, =375.39kNnr ryi **mdi$n E,r S I{* n$te indrplinitii,c) Yeril'icnre$ preslunii transrmisf; terrnului. vr =:ffl.fit,kN: ffi =;.3Bpr,rrr+ 0 ti'lP,,;* + l.I7Pr2,

    -

    (),35G1 -- il.30G? --"t]-?5t;3 * il.p5{;.+ - l.ljfiI

    1-'+#fiS i .lzGri 0,35G9 1,3?ff I t] - 1.55Fu," i)..llPpi, I.05pn, =

    :+l.s$kl{m. .finrentrir-:ittrtea fu4ei Y* este c :: h,l/V, = n,l56rn" iilr i6qinr*arf**riva a fundali*i *utn B' = ft *-?r. = l.?Slir:l .Ii tr] = \,'r / {f:'f,"} =..ff}J.ss i

    Zirturi cle spriiin ?71)

    {I"7tifl x l.t}[)] = IlSkI]a- Capacitatr:a pr:lrluan*i a ter'nnu]ui: N,, 1-77, N:,=2-3{}: }il, = 12"33' fori =hr=(}.ftfitt:b^=f},8:1i; rri =tr-i*, = t.(}[]l rt = I.34; i,,=

    [],7591 i...= {}.611{: i. = {}.(igS; q' = lg"fi r i.sfi = 29.7(}kP;r qi in finiil CF =JBllkPH; nondilia p S {lf} este tndcpiinitfl.dI \ierifrf,firefl rilstrrlui elevalie-fumrlafie fproiectarca strarcturalfi flsiduluii. V1 = {-jl+{"i2 + L;3 "{- {-}.+ + fi5 = 9fi"9flkN: il.'tl = [J,73P,,tir - {J"l{}fii

    fnrfecirrr de t*r"{rr Hl -= F,,ri, = 5[1"t]5kN. Excentricitatea lirrlri U I este el *1.4 X / Ut '= {'}^3{i5n:. ifir pr*siurlflir. trannmrisf, de e leva{.ir f,undaiiei arn val*rileextrenr* p,n;,1 = r)qkP,t $i Fn,i,, = $kPa" ilu.ci tniltfl suprath{a esi* f,{}rnprlmaffi.

    Fnr{a rrrir,r-rttr*15 tl} !r} f}r}iltfl preiul* prin frec*ree dinff* *,:l*va{ie gif'rrn,l,r[i* linthirrl r1': [r"er:nre riintr* zirtsrin tlr ni*.irii li b*tun estc r1* r:r,l pu{irr-"1{}., e$n i'nc$t fnrJ;r 11*:frerar* va l-i V Lt Lsl{} = 55.I}5kH

    = F{i.

    AvfinrJ in vc{fu*:"t: rliagrarm;r dr: prrsiune acliv[. s*c{iitnilt *]intregahit:anc sun[ {l}mnri rrulfr: "

    6l Impingrrca pfirnftntutraei frm ffir{ipnreil A}+&fl?+${':.titrat 1' {y. * r}{Jr' rfi"-- rn'r'trr lg lTll-?5 r := lJ,?'', S-af1'

    - l3,T',

    ,f9 == {}', ,r." ;;i{ri l,l5 = SkPa; k.;rrr='{}.*44: kr,;rr = [].9 l?. F,,i,.=,3 x S x {0-91'7 = -15"-,i?lsPriia $uprilfa[f, ryi p,,], := -15"3i + i{}.f+{} .}: :i.?- I }{ {J.S4*l = 4.4-ft$kFu i*l i:aza.'.;rrl'ri'rlrri. ,li-r:1-;)rr!rr o1F fir*siune activfr sr: frmrlli:irrfl lit {}_iiJl1r ce Ia i}unrtill A:P,r itr = 5"1,39; I),,t" = I 3-t-i2kltil{traf } tt " l{}.1n'. *" = 13.?'', fi--?rl'/rt =" $,1'. F - tI'I f''.=,l{k-Pn; r*zultfr k6,=U,833:k,,*h={}"H3,kpi:= l.95,pprh= 1.q3ip.,r, = [S,S[ix3"":l x{}"t131 - J:ifi r iiU.t{:l =.3,5.1?kPa ia suprafafB $i Fnr, = 3$.:.1T r l9.lit}.r ,J.{}{} x i"}.83i:-;71.35kFn la itazil stri$tlllli; P,,1; = !119.7'Jk$l Pn_:r, = - q.4lkF{: pfir = 1!},Sft :tl-iX) x 1,95 -r- 2 x fi s *j l.$:1 = S9-45kN, Fnn = i)1],45kNl Pp, = I 5,93kN:

    ?) Verificrflri {}ft:$ +i $:fH ie"r grupnro* ,{?+h'I?+S{.} "s,! Yerificarea l* [elrl*citr{:. V,.;' }:il, + IF,,,. -- P.*.= 303,?fikh,: F[1

    '*: LFaiir-- Pph = fi3.Si:kN. N = V.crtsl3^4'r hlrsirrl3.,"l = lif.s{)kN: J. = Htfi{-r:;i;i,;trV,r:in13,,1

    - I'+",qLkF{ = H,L. R., = hjtg$ ". .}-"}"t.}4kl\ ryi c{rnrligim E* { ffi.r *:;lr:irrrirplinitii.

    [u rr-:tra{ilr R1 - Ar***r-= -J.i}t} x 1.fif] x 38.fu ''=

    $i=fiilk$, rtttlqJit-rn est*rjr: as*nlfilcir indepl i n i tirfu| Y*ritirfireft I* rfrsturmal"fl. M- :-: [.: ::: 1 B8-S{rk}inr: fu'[,. ,= Id,r :-359,t)SkNrri si u*mdi{ia [,a d Ro *st* inr"leplinitii.*l tlerificflr*er presiunil trirmsruiss terf;ffiului" V,:: ?{}3.f}i!,i'i: iI =58.fi5k*hrn:" fl = MI!', = {-J.28Snr; FJ' = $ -- ?u = 1.533r.n; pi'L'riunea iriin$ffiti:ia

    $r

    r+! '

    !:) |I

    I

    {iI t-ETIEl

    *" 'E;

    I

    +II

    iII!sitli

    r* 1fl

    ,'.1..IIllIt-i;lI

  • 2fifr Aplicafii de Inginerie geotehnicf,

    terenului estep=V,/(B"L',1- l33kPaEi CP= llgkPa: tondifia p

  • 232 Aplicalii dc Inginede gearehnich

    Ps tglrPa t F,'PutqhPa tqrP*t*t,D-I nirrP'ugqL

    Prz,}'

    68,62k'r*'81,79k523, lSkh'27,6?kN4{}.46kN14.73kh'6.2?kN2.3t{kN

    92,64I 10,39

    34=7"1,+ 1 ,4454"6J19.899,413.42

    1,351.351.501.50I ,351.35I

    "50I.50

    XPoii, = 19'I.44kN; IPri, = 175, 14kT'{.l*lanltl pf; care ilc[ioneazd i{cflste fu4e fl$te c$nsidsrat a fi planu] AEC.

    5i T*riticfiri cE$ fii sTt{ in grupnren Al+ht1 +[t [ "

    ffil \t erificrlrefl Ia lllnecare. V, ffi IGi + fp*,,. H 5??,S41

  • 23t!_

    ni*g

    cilrilcteristicc ale parailletriior pfinifintului sunl precizate pc ligurfr. Nivululapei rrrhlrrane rsfe acelagi cu nivelul tcrenu]ui din fatra ziclului.Solulia:

    1l Alegerea rnaterislului, a forrn*i s*cfinrnii trflnsversale qi sdirnenriunilor ac*steiA, 5e alegr tt:rrnu secgiunii tra.rl$yersale din ligur.*A$.J. Zirlul va fi din beltrn nrsncrtir pentru cilre ss.considerf, ] ; 24kNirn''.Pentru materialul din dren rir cilnsidern ] = lgkNirn-'. Se alege adfinrirrrea rlefunilare Dr = l.i[]m, rcrultand inalgirnea totalf, H r= 6,3{}rn & ziriu}ui.Folosind indicafiile dc ia punclul 9.? $e aleg dimenqiunile din figura ale$eclimrii"2) {-uefi*ien}ii pnr{iali, PrniectaL"a s$ tace ia st6rilo ii rnita ultirnc GE,O gi'$TH in at:t-rrrliuea dc culcutr L in tnheiul dc itrai .ios ss rt;ru ,":rrcf irleniiiperlia I i pi,;ar"acrr.:ns tir:ile trrriului,

    &l+s:[s* ffi-.ffitr:*iici*nqi pariial i penrru nc{ir:nigFrr[}lsE-tr* {i*'iJ{eh}ls*C**ficr entri parliali prntru u*iiurriEs,Eluugp{E-lqfgylrahrlg-*---

    -:j-#5 *-" l*{Efi r:eiir:rcnfi purti ali premrru actriur: i-"tsushda-{llxuahds-* --i} .*

    -

    --Ut*r",efici*n[i pnr{iali p*ntru acfiuni vuriatriiesrgtaro:uhil,* "*_* l.50 l";1ilrM **--_-_1-0!--- I.L5ftL.il$ieuu-partruh-Eu]JrusrsuL i*Ull-

    -_-_--*-i-.Ul3'&ryrlesa.lcuJ-Srr_

    $trat 3 30" ?4. Fl'-Yelsu*ds-eslsu! id_ $trat I

    Srrrrt} ---_21):** *ll,.f:3l fireut*ten sidulufr, S* culruleaz& grcutBlile parflilir a]e ziduirii

    irentrir un tronson ru Lungimea rle I rn. Rceults:fi] * [.0t.1 :t 4.1$0 x 24"t]t] * I15,?0kl{Li? = (],5{J x i,35 x I!},0{J = I :,St}kjqG3 = {J.5{} x i.45 x ?,.1.0{J =-- 41.4{}kN(i"tr

    = fj.(it):x 3,0[J x 19,il(] = 34.i{JkNfiS = il^6fi x 1"8{J x J4.L}(} = f5"St}ki*{C6 = fi,ti^5 H 4.t10 x 19.{}{} = 5t}.-1|}kN

    :3 I

    fi? = l-1() x 3.25 x2.4,00 = 85.BilkNfi8 = fi,.10 x 3.25 r ?4,ilfi I 2= 15,6()kNfi$ = tJ"40 n [.5(] r.. ?-l,il(] / 2 =7.?fikNIfii = -1$7"4ilki\,1fireutaliie fiind sarcini pf;nnauente fuvurutbiie,nreleapi cir vsi*nlc earaclertstice.

    v uir:i i ie de calcul su n1"

    _"_ * -ltl-*-- +..r-.-.-i.n

    Etig. At]"1

    4) irnpinf;rrtff pfrrn&ntmlui In Hrilpftr&rn AI +S'Xl +It I " intru**tprntru aceantfl sfrarificalie s-ir ealmriilt irnpingcrni,r uctir,fr la apli*a1ia 46.?"$n prfiinu valorile irnpingcril*r rJe la aceastil aplicalir. Eb srrnt :

    i.il[l

    Vultlirrefiirrfictf,risrrca

    Cilcfici*rttpar[inl

    V uh:arr:rie cul*uil

    i"*;415n ,o,-nh.:r***...

    t ., I 1{'r. -Li- L-:,li'

    i[.crri*,,9't,

    *se&hr^*-"

    knpingcrrrir

  • Z+fi Aplicalii de Inginerie gearnhnicf,

    il,52im, iar presiurrea transmis6 de elevafir fundalici are r,,alurile extrcmet) = ;+;; {1 t {*f ; $e obflne prnar = ?83kPa pi pmin = 20kPa. Ser- r}]ii.l.,rlrur BIXtr00 1r; frl , ! !'L LrLl

    vede deci ca inre elevalio $i fundalir apar numai teniliuni de compresiuils.Fnqa orizonmla Hl se preia de ohicci Frin prevedcrefi unei trepu verticalefn rostul de lurnitre dintrn elevafe ryi tundafie, sru cu bare de armfitur6verticaie care kllverseazE r*stul.

    6) irnpingerea pfrrnfintului in grupnrcfl /u3+hf3+H.1. Se cairuleazflimping*reil activf, a pflrnflnmlui din sparele zidului consirterlind cpeficicntiiparfiali yrrr = 1,?5 {pr diagparnfl val*rile din pernnreze}.litrat l: fi = fi0n, s'= arctgtrg2tr/I,?S1 = I?o, S:z$'/3 = lL,3o, F = ISoi r:,= ! f.!/ 1,?5 * ShPa; rezultfl k*r, = [i.?91 h*h = fi.?}fi, push = -[ x E x'dt].?36 = *l3-?}kPn la suprafalir. terrnului +i F*sh ffi -13,73 + t8-L!(} x 6,50 x fi,?g ffi?S"?{}kFe la baza stratului; diagrarna de presiune activH. trerc prin irero la0,9?m rle puilctul A. il9a inrf;t c()ffip*nenta urinnntalf, a impingerii active{din greutate proprie gi cr:eziune.} a stratului I *sr* prt*r, s Jff,?0 x 5"5I x1,ilfi / 2 = 217,$lkN. iar *ornponentir verti*alh a ircrstria *stl: P,trs,, - P*rglr /tg(n-sr'=B,t-84kNipresiuneaa[tiv[dinSaTCinaqestcFnqh?.SfikPa, iitr componentelr irnpingerii irctiue sunt Pariih E ?.$0 H 6,jtJ -^:51,35ki'{ $i Fuirru = 5'1,35 / tg{u-fit x }{},fi?khl;sf,rat?:f,f,=lfi6o"$'=,aru:tg{tg:}3/i,35}=:?,5".s==2$,i3rerultfl ko:, = 0,?8i pilsrr = 18,{Jf} x fi,S{i H S,ZB := i2,?Skpn 1a suprafaqastr"atului

    .

    i Fo-,r, = 32,76 + 18.2{l x 3,il{J x 0,28 = 4$.{}5kPa la haza *trittului;F*r:sh. H l?l,?tkN; Pu:sn = Far&rr I tg{cr-fit = 4,S7klti; pr*siu}trerr actir,fr din.sarcina q estc Foqh = Iil x 0,2S = ?,SfJkPa; Pahh H 2.S{} ;,{ 3,fiil == S_.+i}kN +iPo:.l., = 8,*ttJ / tg(tX-S i = $,34kNl

    7 ! Vtrificf,ri ?n Hrupffrsa A?+lt{?+RI, \raicrril* rin crrhul al*ricfiunilor pe zidul rte sprr_iin in irceirstir gruparfi sunl:-grnumlna proprir il zidului rntiltiplicat$ cu I

    "{}(} t a*fiume p*rrnir.nentfrfav*rah il[);-inrpingcrea autjvl a pilmnntului rilrtE rie grrutalsa Froprie rnultiplicata *riI

    "{}fJ iacfiuns pflffnanemtH netav*rabil[J;-tnrpinserea activa n pErnfrnlului dara de srlrcinir r.1 niukipiir:arfr cu I.J(Jtacliune variahilil nrf avorabil a ) :a) Yerilicnrta ln lunecare" 5e calculeaza rezullanta acqiunil*r veruicalfl V, =Efii + tr.0flf,Puisu * 1,30lP;ric1v = 80fu.89 + 1.fjfl x {84.fi4 +.4,S?} + l.Jt-} x

    ,*L

    Ziduri de spriiin 249

    (20,0? + tJ-34) = 923,fr7kN pi rezultanla acliunilor orizontale Hr = I,00IP6;gr.,+ [,3OIFuiq1, = I,0fJ x {217,61 + l2I,Z11 + 1.3fi H i5I.35 + 8,"+0) =,{ 16,49k}'i. Planul rlc lunecare est* inclinat fa{h de rizontalE cu 1il*;acliunfla nfirrnal5 pe ilcest plan flste N = V,c*s10 + Htsinl{.} = 98 1.37kN. iaracliunea dc lunecare din ncest, plan sste T = H,coslil - Vrsin.l fl = 249.$?klt'.

    Er. Reziptenga de, calcui il sffatutui 2 [a lunectrre este R.i = NtgS= 9ff I ,3? xtg18,3 = 314.56kI*1. Cundilift Ba # E6 nstn indeplinitfl, de'ri zidul vnrificfi ialunecar*,h) Verifilaanea In rfirturrrflre. Sr calculearfr mmln*nnrl M,"nl aclirrnik:r cflrepr+voacE rBsrurnire tn rnport cu punctul E {efecrul actiunii tr,1} qirn*rflentul M.. ai acliunilor carff dau stahilitatfi t"q* fipuil rflsturnerii ) in rap*rtcu eLcelaqi pun#t (rezistentn la rftsfurflilre .* R.:). Sr: *hqine M, = H.i =, 1.0fi xl4,04Pa1E1r + ().6flPu2gh) + 1.3[J x {5,45Pulqn * il,?0P*]qh) = }:1?3-3fik}.lrrr; iV[, =Ra = 2.37G1 + 3"37{i2 + 4,33fr3 + 2,3il$4 + 3,fi?Gi +;1,S8{}fi + 4-fi2G? +5,?0fr8 + 1.fJ0 x i4,?TParsv + S.()fiFnr,rni + l,-10 x {4,52Porq, + S-fi?P*2qr; =3?il6.26k?{rr-r. Cnndigia Eo S Bo n$te inrtreprlinjtilrl Yerificar*a pn*siunii transmisfi te renuluf" Y, = {}23,fi?kll

    -$i IvI -= i" "0[] x(4,44lroish * l,fi0Pnr.shi * 1,3[] K {5.85P01q}r -1- i.lflPu:q1,i - fi,il?G1 * I "t]trG? --3,il3fr3 t!,77fi5 2,58G{r ?,:}2G? 3,9t}fiS },ilfi x {:3-"*?T}arg' +2,70Furgr) 1.30 ,\ (f.Z?Pulqv + 3,72pu:,+r} = 4ilZ,ff4khirn. [-]x*enld*iratsafn4ei Y1f,sts e = Mft'r = [J,436rn. iarlalilnf,a redusf, a fundaliei *st* 11' = ffi -2c = 3,7?8rn; lungimca redush a fundatici *stc [-'= L.= 1,fitJm. Prrsiuritrirtransmisf, terenului este p = v, / {B'L'.} = u?3,93 I (3,?2,8 .x l,{H}) = ?4SkPa.$s 1:nlculenzf, capacitatea prrrtitntir a terenului. ,5e ob[inr:: Nr,. * IJ,9d1; N,u =13,47; bq = h.,,= t],fi'J8lffr = I,IJ?; iq = $,"{ff3; ii ='fl.?65; t{ = }-$,2* x 3.,3# =,4tl,fi4kPe $i in final flP = 323i0#il; cnrtdigia n: { CI} erte v*rifficatfi"d) Verifiraren rostului thva{ie-fundagie (proie*tsr*n strmetmrelfr ftmidrrtrui)" Vl = fil+Gl'+fr3+fi? + l.tl$Prrpu f i"30P,,1,1, x 53fi,37kF*; htrl :.;1.ilfi .q ( t,S4P*1*1, - 1.4?Pars'i + 1,3{i x. {3,]sP;ilqrr },2?P,,r,1v} 4' {},93$1tl,t)7G2 1,03G3 1.32fi7 = 3?4.9SkHm. H.rrstui ents s*li*itat pi laf,+rfecure r{c turla Hl = I.ftfiPurgh * l.3fiP,irqh = 38,4.36kN" Hxcentricitrit*rrtnqei Vi est* *1 * lr1l I Vl = {},{i97m. iar presilinnir iraiislnisfr de *l*r'a1ie"firnda[re[arf,valuri}eextremeFn,"*H323kPapiFrninfntru*iit tensiurlea minim& *sffi de imtinder*, *sis necesarffi fin n:*dif'itar*itliltirnii BI {R1 } heli, fie armareil $nc}iunil. hiu se modificH ialinr*il Bl" iardin cafu:uiui s*c[iunii la cnmpresiun* f,xcer:tricfr nrr reznJtE armnturfr:. Prin