dimensionare sarpanta micu
TRANSCRIPT
BREVIAR DE CALCUL ŞARPANTA DIMENSIONARE ELEMENTE STRUCTURALE SARPANTA LEMN
CONFORM NP 019-97;NP 005-96; STAS 10101/21-92
INCARCARI CONFORM STAS 10101/1-78 INCARCARI DIN ZAPADA STAS 10101/21-92
MATERIALE q normat n q calcul Zona gz ce clasa de g adaN/mp daN/mp daN/mp importanta
tigla+capriori 80 1.3 104 C 150 0.8 3 2.2astereala 2,4cm 5 1.3 6.5vata minerala 15 1.3 19.5 SLEND (Grup Speciala) 0.3popi+pane 30 1.3 39
1.3 0 unghi caprior-orizontala 301.3 0 cz1 1.25
TOTAL 130 169 cz2 1.251.77
TOTAL INCARCARI DIN ZAPADA 0.66qz1 normat 45qz2 normat 63.6 0.8910qz1 calcul 265 0.4540qz 2 calcul 265
DIMENSIONARE CAPRIORI CARACTERISTICI LEMN CONF. NP 019-97 ; NP 005-96
dc - distanta dintre capriori [m] 0.8 mui 1 coef.cond.lucrudp - distanta dintre pane [m] 3.60 Ri daN/cm2 168 rasinoase-clasa IILc - lungime caprior [m] 4.04 g I 1.1 coef.partial sigurantaINCARCARI PERMANENTE k 0.55
120.46 k1 1INCARCARI DIN ZAPADA mdi=(qc*k+qz1c*k1)/(qc+qz1c) 0.8248
168.31 126
TOTAL INCARCARI Rc=pcal*Lc/2 [daN] 583permanente+zapada 288.77 MI=pcal*Lc^2/8 [daNm] 589INCARCARI UTILE MII=(gpcal*Lc^2)/8+(guc*Lc)/4[daNm] 367 NORMATA [daN] CALCUL [daN] WnecI=MI*100/0,9*Ric [cm^3] 520
100 120 WnecII=MII*100/0,9*Ric [cm^3] 324mTi - Coeficient de tratare 0.9
DIMENSIUNI CAPRIORI8*10; 8x12; 10x12; 10*15; 12*15
VERIFICARE Mr > MIbc [cm] 10 Mr=(Ric*Wef*mTi*mui)/100 425hc [cm] 15 MI=(pcal*Lc^2)/8 589
VERIFICARE RIGIDITATE fmax <= f admCARACTERISTICI SECTIONALE f max=fp*(1+k1df)+fz*(1+k2df) [cm] 2.336I ef [cm^4] 2812.5 f adm. L/200 [cm] 2.020W ef [cm^3] 375 Mr > MI 0E [daN/cm^2] 110000 fmax <= f adm. 0
g e
a [grade]
g F=g a - 0,4*(q n / ce*gz)0,3*ga
cos asin a
(dc*qc*cosa) [daN/m]
dc*qz1c*cosa2 Ric=mui*mdi*Ri/gI [daN/cm2]
l DIMENSIUNI FINALE CAPRIORI
DIMENSIONARE PANA CARACTERISTICI LEMN Distanta intre popi [m] 3 CONF. NP 019-97 ; NP 005-96Distanta intre pane trans. [m] 3 mui 1 coef.cond.lucruDist. Pop-contrafisa [m] 0.8 Ri daN/cm2 168 rasinoase-clasa IIINCARCARI PERMANENTE g I 1.1 coef.partial siguranta
582 k 0.55INCARCARI DIN ZAPADA k1 1qz1c*dp [daN/m] 795 mdi=(dpc*k+qz1c*k1)/(dpc+qz1c) 0.810INCARCARE UTILA 124puc*1,2 [daN] 120 mTi - Coeficient de tratare 0.9IPOTEZA I gIc=gpc+gzc [daN/m] 1376.98IPOTEZA II gIIc=puc [daN] 120
DIMENSIUNI PANE10*15; 12*15; 12*17; 15*17; 17*17; 17*19
VERIFICARE Mr > MIbp [cm] 15 Mrp=(Ric*Wefp*mTi*mui)/100 1005hp [cm] 19 MI=(pcalp*Lpc^2)/8 833
VERIFICARE RIGIDITATE fmax <= f admCARACTERISTICI SECTIONALE fmax=fpp*(1+k1df)+fzp*(1+k2df) [cm] 0.167I efp [cm^4] 8574 f adm. L/200 [cm] 1.1W ef p [cm^3] 903 Mr > MI DAE [daN/cm^2] 110000 fmax <= f adm. DA
DIMENSIONARE POPI CARACTERISTICI LEMN Reactiune caprior [daN] 583 CONF. NP 019-97 ; NP 005-96gcalc.pana [daN/m] 12.96 mui 1 coef.cond.lucruN pop = 2*Rp+gpp [daN] 3593 Ri daN/cm2 120 rasinoase-clasa IILung.flamb. 2*Hp [cm] 700 g I 1.25 coef.partial sigurantaA= b*h [cm^2] 256 k 0.8Raza de giratie I^2=Ip/A [cm] 4.6 k1 1
152 mdi=(dpc*k+qz1c*k1)/(dpc+qz1c) 0.9610.135 92.2
mTi - Coeficient de tratare 0.9
VERIFICARE POP Cr > Npopbp [cm] 16 COMPRESIUNE AXIALA [daN] 2868hp [cm] 16 FORTA AXIALA POP [daN] 3593Hp [m] 3.5 Cr > N pop 0
104.0I ef = (bp*hp^3)/12 [cm^4] 5461 R - rezist.de calcul la compresiune 100DIAMETRU [cm] 18.3 0
5461
PROIECTANT,
ING. Igor Panzaru
gcal.p/cos a+gppana [daN/m]
Ric=mui*mdi*Ri/gI [daN/cm2]
l DIMENSIUNI FINALE PANE
l = lf / Iji = 3100/ l^2 Ric=mui*mdi*Ri/gI [daN/cm2]
l DIMENSIUNI FINALE POP
VERIFICARE LA STABILITATE s <= Rl VARIANTA LEMN ROTUND s = Npop / j I *A
s < RI ef (f) (p D^4)/64 [cm^4]
DATE DIN STAS 10101/21-92
INCARCARI DATE DE ZAPADAZONA DE CALCULA= 90daN/mp - Cluj-Napoca B=120daN/mp - Buzau; Piatra NeamtC=150daN/mp - Botosani; Bucuresti;Cotnari;Harlau;Iasi;Targu-Neamt;BacauD=180daN/mp - Dorohoi;Radauti;Roman;SuceavaE=185daN/mp - Vatra Dorneice - COEFICIENTUL CONDITIILOR DE EXPUNERE0,8 - conditii normale0,6 - conditii deosebite1,0 - conditii deosebite de adapostire1,1 - obstacole in calea spulberarii zapezii
COEFICIENTI PARTIALI DE SIGURANTA (Tab. 5)clasa imp. g e I 2.8 3 1.8 2 0.4 0.6 II 2.5 2.7 1.6 1.8 0.35 0.55 III 2.2 2.4 1.4 1.6 0.3 0.5 IV 2 2.2 1.2 1.4 0.25 0.45 V 1.8 2 0 0 0 0
STARI LIMITA ULTIME (Tab. 4)Zonele A, B, C, DSLUR (GF)SLENSLEND (GS)SLUO 0Zona ESLUR (GF)SLENSLEND (GS)SLUO 0.2
DATE PT. VERIFICAREA RIGIDITATII CAPRIORINCARCARI PERMANENTE [daN/m] 92.66INCARCARI DIN ZAPADA [daN/m] 28.58TOTAL Pn+Pz [daN/m] 121.24REACTIUNEA [daN] 244.94K1df 0.8K2df 0.45fp=(5/384)*(Pn*Lc^4)/(E*Ief) 1.039fz=(5/384)*(Pz*Lc^4)/(E*Ief) 0.321
g a g b g c g d g f
gF =g a - 0,4*(q normat / ce*gz) >= 0,3 g ag0 =g c - 0,2*(q normat / ce*gz) >= 0,3 g c
g1 =g c
gF =g b - 0,4*(q normat / ce*gz) >= 0,3 g bg0 =g d - 0,2*(q normat / ce*gz) >= 0,3 g d
g1 =g f
CALCUL CARACTERISTICI PANALungime calcul Lpc=lp-(2*a)/2 [m] 2.2
60012.96
10.8gz normat - qz1n*dp [daN/m] 135CALCULUL MOMENTELORMIp=(gIc*Lpc^2)/2 [daNm] 833MIIp=(dpc*Lp^2)/8+(gIIc*Lpc)/4[daNm] 418
DATE PENTRU VERIFICAREA RIGIDITATE PANAINCARCARI PERMANENTE [daN/m] 10.8INCARCARI DIN ZAPADA [daN/m] 135TOTAL Pn+Pz [daN/m] 145.8
178.2K1df 0.8K2df 0.45fpp=(5/384)*(gpn*Lpc^4)/(E*Iefp) 0.058fzp=(5/384)*(gzn*Lpc^4)/(E*Iefp) 0.044
DATE PENTRU CALCUL POPI65 [daN]
React. pana ((3*Rc*2)/2)+(gcp*Lpc)/2 1764 [daN]Ip= b*h^3/12 5461 [cm]
2868 [daN]
g lemn [daN/m^3]gcalc.pana bp*hp*g lemn*1,2[daN/m]g normat pana bp*hp*g lemn[daN/m]
gpn=pn*Dp/cos a+gnp/1,1 [daN/m]
Greutate proprie pop b*h*H*glemn*1,2
Incarcare critica Cr = Ric*A*j*mTi
BREVIAR DE CALCUL ŞARPANTA DIMENSIONARE ELEMENTE STRUCTURALE SARPANTA LEMN
CONFORM NP 019-97;NP 005-96; STAS 10101/21-92
INCARCARI CONFORM STAS 10101/1-78 INCARCARI DIN ZAPADA STAS 10101/21-92
MATERIALE q normat n q calcul Zona gz ce clasa de g adaN/mp daN/mp daN/mp importanta
tigla+capriori 30 1.2 36 B 120 0.8 3 2.2astereala 2,4cm 15 1.3 19.5vata minerala 5 1.3 6.5 SLEND (Grup Speciala) 0.3popi+pane 15 1.3 19.5
1.3 0 unghi caprior-orizontala 401.3 0 cz1 0.8333333
TOTAL 65 81.5 cz2 0.51.93
TOTAL INCARCARI DIN ZAPADA 0.66qz1 normat 80qz2 normat 48 0.7660qz1 calcul 154.333 0.6428qz 2 calcul 92.6
DIMENSIONARE CAPRIORI CARACTERISTICI LEMN CONF. NP 019-97 ; NP 005-96
dc - distanta dintre capriori [m] 0.9 mui 1 coef.cond.lucrudp - distanta dintre pane [m] 2.30 Ri daN/cm2 168 rasinoase-clasa IILc - lungime caprior [m] 3.00 g I 1.1 coef.partial sigurantaINCARCARI PERMANENTE (daN/m) k 0.55
56.19 k1 1INCARCARI DIN ZAPADA (daN/m) mdi=(qc*k+qz1c*k1)/(qc+qz1c) 0.8445
81.51 129
TOTAL INCARCARI (daN/m) Rc=pcal*Lc/2 [daN] 207permanente+zapada 137.70 MI=pcal*Lc^2/8 [daNm] 155INCARCARI UTILE (daN) MII=(gpcal*Lc^2)/8+(guc*Lc)/4[daNm] 168 NORMATA [daN] n CALCUL [daN] WnecI=MI*100/0,9*Ric [cm^3] 134
100 1.4 140 WnecII=MII*100/0,9*Ric [cm^3] 145mTi - Coeficient de tratare 0.9
DIMENSIUNI CAPRIORI8*10; 8x12; 10x12; 10*15; 12*15
VERIFICARE Mr > MIbc [cm] 8 Mr=(Ric*Wef*mTi*mui)/100 187hc [cm] 11 M=max(MI, MII) 168
VERIFICARE RIGIDITATE fmax <= f admCARACTERISTICI SECTIONALE f max=fp*(1+k1df)+fz*(1+k2df) [cm] 1.140I ef [cm^4] 887.333 f adm. L/200 [cm] 1.501W ef [cm^3] 161.333 Mr > MI DAE [daN/cm^2] 110000 fmax <= f adm. DA
g e
a [grade]
g F=g a - 0,4*(q n / ce*gz)0,3*ga
cos asin a
(dc*qc*cosa)
dc*qz1c*cosa2 Ric=mui*mdi*Ri/gI [daN/cm2]
l DIMENSIUNI FINALE CAPRIORI
DIMENSIONARE PANA CARACTERISTICI LEMN Distanta intre popi [m] 2 CONF. NP 019-97 ; NP 005-96Distanta intre pane trans. [m] 2.3 mui 1 coef.cond.lucruDist. Pop-contrafisa [m] 0 Ri daN/cm2 168 rasinoase-clasa IIINCARCARI PERMANENTE g I 1.1 coef.partial siguranta
254 k 0.55INCARCARI DIN ZAPADA k1 1qz1c*dp [daN/m] 354.967 mdi=(dpc*k+qz1c*k1)/(dpc+qz1c) 0.812INCARCARE UTILA 124puc*1,4 [daN] 140 mTi - Coeficient de tratare 0.9IPOTEZA I gIc=gpc+gzc [daN/m] 609IPOTEZA II gIIc=gpc+puc [da 394
DIMENSIUNI PANE10*15; 12*15; 12*17; 15*17; 17*17; 17*19
VERIFICARE Mr > MIbp [cm] 10 Mrp=(Ric*Wefp*mTi*mui)/100 365hp [cm] 14 MI=(pcalp*Lpc^2)/8 304
VERIFICARE RIGIDITATE fmax <= f admCARACTERISTICI SECTIONALE fmax=fpp*(1+k1df)+fzp*(1+k2df) [cm] 0.524I efp [cm^4] 2287 f adm. L/200 [cm] 1W ef p [cm^3] 327 Mr > MI DAE [daN/cm^2] 110000 fmax <= f adm. DA
DIMENSIONARE POPI CARACTERISTICI LEMN Reactiune caprior [daN] 207 CONF. NP 019-97 ; NP 005-96gcalc.pana [daN/m] 9.24 mui 1 coef.cond.lucruN pop = 2*Rp+gpp [daN] 1313 Ri daN/cm2 120 rasinoase-clasa IILung.flamb. 2*Hp [cm] 500 g I 1.25 coef.partial sigurantaA= b*h [cm^2] 196 k 0.8Raza de giratie I^2=Ip/A [cm] 4.0 k1 1
124 mdi=(dpc*k+qz1c*k1)/(dpc+qz1c) 0.9630.203 92.4
mTi - Coeficient de tratare 0.9
VERIFICARE POP Cr > Npopbp [cm] 14 COMPRESIUNE AXIALA [daN] 3302hp [cm] 14 FORTA AXIALA POP [daN] 1313Hp [m] 2.5 Cr > N pop DA
33.1I ef = (bp*hp^3)/12 [cm^4] 3201 R - rezist.de calcul la compresiune 100DIAMETRU [cm] 16.0 DA
3201
PROIECTANT,
ING.
gcal.p/cos a+gppana [daN/m]
Ric=mui*mdi*Ri/gI [daN/cm2]
l DIMENSIUNI FINALE PANE
l = lf / Iji = 3100/ l^2 Ric=mui*mdi*Ri/gI [daN/cm2]
l DIMENSIUNI FINALE POP
VERIFICARE LA STABILITATE s <= Rl VARIANTA LEMN ROTUND s = Npop / j I *A
s < RI ef (f) (p D^4)/64 [cm^4]
DATE DIN STAS 10101/21-92
INCARCARI DATE DE ZAPADAZONA DE CALCULA= 90daN/mp - Cluj-Napoca B=120daN/mp - Buzau; Piatra NeamtC=150daN/mp - Botosani; Bucuresti;Cotnari;Harlau;Iasi;Targu-Neamt;BacauD=180daN/mp - Dorohoi;Radauti;Roman;SuceavaE=185daN/mp - Vatra Dorneice - COEFICIENTUL CONDITIILOR DE EXPUNERE0,8 - conditii normale0,6 - conditii deosebite1,0 - conditii deosebite de adapostire1,1 - obstacole in calea spulberarii zapezii
COEFICIENTI PARTIALI DE SIGURANTA (Tab. 5)clasa imp. g e I 2.8 3 1.8 2 0.4 0.6 II 2.5 2.7 1.6 1.8 0.35 0.55 III 2.2 2.4 1.4 1.6 0.3 0.5 IV 2 2.2 1.2 1.4 0.25 0.45 V 1.8 2 0 0 0 0
STARI LIMITA ULTIME (Tab. 4)Zonele A, B, C, DSLUR (GF)SLENSLEND (GS)SLUO 0Zona ESLUR (GF)SLENSLEND (GS)SLUO 0.2
DATE PT. VERIFICAREA RIGIDITATII CAPRIORINCARCARI PERMANENTE [daN/m] 44.81INCARCARI DIN ZAPADA [daN/m] 16.90TOTAL Pn+Pz [daN/m] 61.71REACTIUNEA [daN] 92.65K1df 0.8K2df 0.45fp=(5/384)*(Pn*Lc^4)/(E*Ief) 0.486fz=(5/384)*(Pz*Lc^4)/(E*Ief) 0.183
g a g b g c g d g f
gF =g a - 0,4*(q normat / ce*gz) >= 0,3 g ag0 =g c - 0,2*(q normat / ce*gz) >= 0,3 g c
g1 =g c
gF =g b - 0,4*(q normat / ce*gz) >= 0,3 g bg0 =g d - 0,2*(q normat / ce*gz) >= 0,3 g d
g1 =g f
CALCUL CARACTERISTICI PANALungime calcul Lpc=lp-(2*a)/2 [m] 2
6009.24
8.4gz normat - qz1n*dp [daN/m] 184CALCULUL MOMENTELORMIp=(gIc*Lpc^2)/2 [daNm] 304MIIp=(dpc*Lp^2)/8+(gIIc*Lpc)/4[daNm] 324
DATE PENTRU VERIFICAREA RIGIDITATE PANAINCARCARI PERMANENTE [daN/m] 203.558INCARCARI DIN ZAPADA [daN/m] 184TOTAL Pn+Pz [daN/m] 387.558
138.2K1df 0.8K2df 0.45fpp=(5/384)*(gpn*Lpc^4)/(E*Iefp) 0.169fzp=(5/384)*(gzn*Lpc^4)/(E*Iefp) 0.152
DATE PENTRU CALCUL POPI35 [daN]
React. pana ((3*Rc*2)/2)+(gcp*Lpc)/2 639 [daN]Ip= b*h^3/12 3201 [cm]
3302 [daN]
g lemn [daN/m^3]gcalc.pana bp*hp*g lemn*1,1[daN/m]g normat pana bp*hp*g lemn[daN/m]
gpn=pn*Dp/cos a+gnp/1,1 [daN/m]
Greutate proprie pop b*h*H*glemn*1,2
Incarcare critica Cr = Ric*A*j*mTi