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DANE: |
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wymiar słupa aśL = |
0,5 |
[m] |
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wymiatr słupa aśB = |
0,3 |
[m] |
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maksymalny moment zginający Mrs1 = |
85,4 |
[kN*m] |
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odpowiadająca siła pionowa Nrs1 = |
174,7 |
[kN] |
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odpowiadająca siła pozioma Trs1 = |
43 |
[kN] |
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przyjęta wstępnie wysokość stopy h = |
0,6 |
[m] |
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przyjęta wstępnie szerokość stopy B = |
1,2 |
[m] |
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przyjęta wstępnie długość stopy L = |
1,8 |
[m] |
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w= |
1,2 |
[m] |
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głębokość posadowienia stopy fundamentowej = |
1,2 |
[m] |
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1. Określenie parametrów geotechnicznych podłoża |
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Warstwa I : |
Gp |
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wpisać na podstawie normy |
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grunt |
B |
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ID |
0 |
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IL |
0,2 |
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kąt tarcia wewnętrz |
Fun = |
14 |
[o] (PN-81/B-03020 str. 9 rys 3 dla ID lub rys 4 dla IL) |
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Fur = 0,9 * Fun = |
12,6 |
[o] |
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Fur w przybliżeniu = |
12 |
[o] |
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spoistośc gruntu |
Cun = |
32 |
[kPa] |
(Cun tylko dla gruntów spoistych dla pozostałych = 0. Dobór wg PN-81/B-03020 rys 5 str 9) |
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Cur = 0,9 * Cun = |
28,8 |
[kPa] |
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ciężar objęt. gruntu |
gDn = |
22 |
[kN/m3] |
(PN-81/B-03020; gr,sypkie tabl 1 str 7; gr. spoiste tabl 2 str 8) |
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gBn = |
22 |
[kN/m3] |
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gDr =0,9gDn = |
19,8 |
[kN/m3] |
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gBr =0,9gBn = |
19,8 |
[kN/m3] |
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współczynniki |
NC = |
11,63 |
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(PN-81/B-03020; tablica z 1-1 str 17) |
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nośności |
ND = |
4,34 |
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NB = |
0,72 |
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2. Określenie obciążeń w poziomie posadowienia |
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mimośród wypadkowych obciążeń względem osi słupa |
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e = (Mrs1 + Trs1 * h) / Nrs1 = |
0,64 |
[m] |
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przesunięcie środka podstawy słupa względem osi słupa |
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f = e = |
0,64 |
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mimośród wypadkowych obciążeń względem przesuniętego środka ciężkości słupa |
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e = e = |
0,64 |
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wartość średnia gstości - żelbet, grunt, posadzka |
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g = (gżelb + gBr + gpos) / 3 = |
23,3 |
[kN/m3] |
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ciężar funadamentów gruntu i posadzki |
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Gr = 1,1 * B * L * Dmin * g = |
66,528 |
[kN] |
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3. Sprawdzenie I stanu granicznego nośności |
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obliczeniowa nośność obciążenia pionowego |
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Nr = Nrs + Gr = |
241,228 |
[kN] |
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tg d = Trs1 / Nrs1= |
0,25 |
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tg f = |
0,22 |
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tg d / tg f = |
1,10 |
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Z diagramu Z1-2 dobieramy i |
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iC = |
0,83 |
iD = |
0,9 |
iB = |
0,75 |
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nośność podłoża w kierunku szerokości stopy |
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Q'fNB =B'*L*[(1+0,3*B/L)NCCuric+(1+1,5*B/L)NDgDrD'miniD+(1-0,25*B/L)+NBgBrB'iB) = |
4993 |
[kN] |
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nośność podłoża w kierunku długości stopy |
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Q'fNL =B'*L*[(1+0,3*B/L)NCCuric+(1+1,5*B/L)NDgDrD'miniD+(1-0,25*B/L)+NBgBrL'iB) = |
4880 |
[kN] |
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4. Sprawdzenie warunku obliczeniowego I SG w poziomie posadowienia ze względu na wypieranie |
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Nr ≤ mQfNL |
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m = 0,9 * 0,9 = |
0,81 |
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Nr = |
241,23 |
[kN] |
≤ |
m * QfNL = |
3953 |
[kN/mb] |
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Warunek spełniony |
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Nr ≤ mQfNB |
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m = 0,9 * 0,9 = |
0,81 |
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Nr = |
241,23 |
[kN] |
≤ |
m * QfNB = |
4045 |
[kN/mb] |
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Warunek spełniony |
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5. Sprawdzenie warunku I SG ze względu na przesunięcie stopy fundamentowej |
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wartość niesprawdzona |
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warunek pierwszy na styku gruntu z fundamentem |
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Tr<m*Tf1 |
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Trf1= Nr * m = |
241,228 |
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m = |
1 |
wg PN-83/B-03020 |
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m=0,8*0,9 |
0,72 |
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Tr = |
43,00 |
[kN] |
≤ |
m *Tf1 = |
173,68 |
[kN/mb] |
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Warunek spełniony |
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warunek drugi ścięcie gruntu pod fundamentem |
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Tr<m*Tf2 |
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Trf2 = Nr * tgf +cr * F = |
3354,30801386603 |
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Tr = |
43,00 |
[kN] |
≤ |
m *Tf2 = |
2415,10 |
[kN] |
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Warunek spełniony |
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6.1 Obliczenia wytrzymałościowe stopy |
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Warunek nośności na przebicie |
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Nsd = g max * A <= Fctd * bm * d = Nrd |
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bm = (asb + B) / 2) = |
0,75 |
[m] |
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największy krawędziowy opór podłoża |
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gmax = Gr / BL + Nrs1 / BL * (1 + 6*er / L) = |
283,284567901235 |
[kN/m2] |
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dL = L/2 + f -d - Asl/2 = |
0,72 |
[m] |
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h0 = w - a + dL * tga = |
0,84 |
[m] |
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tga = |
-0,51 |
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cL = |
1,29 |
[m] |
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cB = L / 2 - asb / 2 = |
0,75 |
[m] |
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A = dL * B = |
0,86 |
[m2] |
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Nsd = |
244,93 |
[kN] |
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NRd = |
369,32 |
[kN/mb] |
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Warunek spełniony |
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6.1 Obliczenia zbrojenia stopy w kierunku równoległum do boku L |
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pole wspornika trapezowego |
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Ft = (B + asB) /2 = |
0,96 |
[m2] |
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środek ciężkości wspornika trapezowego |
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et = cL/B * (2B+asB)/(B+asB) = |
0,77 |
[m] |
[m] |
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opór gruntu zginający wspornik |
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q r max = Nrs1/LB * (1+6ei/L) = |
252,48 |
[kN/m2] |
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nie wiem czy dobre e tu weszło? |
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ale wszystkie e są takie same czyli wszystko jedno |
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qrk = qr max*(L-cL)/L = |
72,03 |
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no ale my mamy tylko q r max, to chyba i tak nigdzie nie wchodzi |
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qr = gr max |
252,48 |
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u nas bo nie ma q min |
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moment ścinający dla kierunku L |
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Msd = Ft * et * qr max = |
188,0530002303 |
[kN*m] |
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Beton |
B25 |
fcd = |
13,3 |
[MPa] |
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fctm = |
2,2 |
[MPa] |
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Stal |
AI |
fyd = |
210 |
[MPa] |
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fyk = |
240 |
[MPa] |
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fctd = |
0,87 |
[MPa] |
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c = |
20 |
[mm] |
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F = |
18 |
[mm] |
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Dc = |
5 |
[mm] |
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d = h - c -Dc -F/2 = |
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0,566 |
[m] |
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zeff = 1- (1-(2MsB/(fcdbd2)))0,5 = |
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0,037 |
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As1 = (fcd/fyd)zeffbd = |
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13,44 |
[cm2] |
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As1min > |
0,26(fctm/fyk)bd = |
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13,49 |
[cm2] |
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0,0013bd = |
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7,36 |
[cm2] |
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stąd As1min = |
13,49 |
[cm2] |
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As1 = |
13,44 |
> |
As1min = |
13,49 |
[cm2] |
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przyjmuję As1 = |
13,49 |
[cm2] |
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Przyjęto zbrojenie prętami F = |
18 |
[mm] |
sztuk |
7 |
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o As1 = |
14,40 |
[cm2] |
co |
17 |
[cm] |
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Pręty rozdzielcze F 10 |
sztuk |
3 |
na 1 mb |
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sprawdzenie stopnia zbrojenia |
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r1 = |
0,008 |
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sprawdzenie względnej wysokości strefy ściskanej |
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zeff = (fyd * r1)/(a * fcd) <= |
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zeff,lim |
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zeff = |
0,16 |
≤ |
0,62 |
zeff,lim |
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czy zgadzają się jednostki? |
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Warunek spełniony |
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6.2 Obliczenia zbrojenia stopy w kierunku równoległum do boku B |
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pole wspornika trapezowego |
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Ft = (L + asL) /2 = |
0,8625 |
[m2] |
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środek ciężkości wspornika trapezowego |
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et = cB/B * (2L+asL)/(L+asL) = |
0,445652173913043 |
[m] |
[m] |
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opór gruntu zginający wspornik |
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q r max = |
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q r max = Nrs1/LB * (1+6ei/B) = |
338,287037037037 |
[kN/m2] |
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qrk = qr max*(L-cL)/L = |
336,69 |
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qr = gr max = |
338,287037037037 |
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moment ścinajacy dla kierynku L |
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Msd = Ft * et * qr max = |
130,029079861111 |
[kN*m] |
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Beton |
B25 |
fcd = |
13,3 |
[MPa] |
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fctm = |
2,2 |
[MPa] |
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Stal |
AI |
fyd = |
210 |
[MPa] |
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fyk = |
240 |
[MPa] |
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fctd = |
0,87 |
[MPa] |
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c = |
38 |
[mm] |
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F = |
18 |
[mm] |
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Dc = |
5 |
[mm] |
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d = h - c -Dc -F/2 = |
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0,530 |
[m] |
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zeff = 1- (1-(2MsB/(fcdbd2)))0,5 = |
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0,028 |
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As1 = (fcd/fyd)zeffbd = |
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10,17 |
[cm2] |
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As1min > |
0,26(fctm/fyk)bd = |
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12,63 |
[cm2] |
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0,0013bd = |
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6,89 |
[cm2] |
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stąd As1min = |
12,63 |
[cm2] |
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As1 = |
10,17 |
≤ |
As1min = |
12,63 |
[cm2] |
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przyjmuję As1 = |
12,63 |
[cm2] |
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Przyjęto zbrojenie prętami F = |
18 |
[mm] |
sztuk |
7 |
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o As1 = |
14,40 |
[cm2] |
co |
26 |
[cm] |
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Pręty rozdzielcze F 10 |
sztuk |
3 |
na 1 mb |
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sprawdzenie stopnia zbrojenia |
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r1 = |
0,005 |
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sprawdzenie względnej wysokości strefy ściskanej |
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zeff = (fyd * r1)/(a * fcd) <= |
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zeff,lim |
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zeff = |
0,10 |
≤ |
0,62 |
zeff,lim |
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czy zgadzają się jednostki? |
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Warunek spełniony |
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