WYMIAROWANIE PŁYTY NA ZGINANIE |
|
|
|
|
|
|
|
|
|
|
beff = |
1 |
m = |
100 |
cm |
|
|
|
|
|
|
h= |
10 |
|
a1= |
2 |
|
|
|
|
|
|
α = |
1 |
|
fcd = |
1,33 |
|
|
|
|
|
|
d = h-a1 = |
|
8,000 |
cm |
|
|
0,08 |
m |
|
|
|
b = |
1 |
m |
fyd = |
42 |
|
420 |
MPa |
|
|
|
α = |
1 |
KOMPUTER:
|
|
|
|
|
|
|
|
|
Med = |
10,39 |
kNm |
= |
1039 |
kNcm |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Msd = cc*fcd*beff1*xeff*(d-0,5xeff) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
-66,5 |
xeff² |
+ |
1064,0 |
xeff |
- |
1039,000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Δ = (b)^2 - 4 * (a*c) |
|
|
|
|
|
|
|
|
|
|
Δ = |
855722 |
|
|
|
|
|
|
|
|
|
√Δ = |
925,052430946484 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
x1 = ((-b)-√Δ) / 2a |
|
|
x1 = |
14,955 |
cm |
nie spełnia |
|
|
|
|
x2 = ((-b)-√Δ) / 2a |
|
|
x2 = |
1,0447 |
cm |
0,010447185643122 |
m |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
xeff = xeff2 |
1,04 |
cm |
OK |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
ζeff = (xeff) /d |
|
0,131 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0,131 |
< |
0,500 |
Przekrój pojedynczo zbrojony |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
As1 = fcd *beff*xeff /fyd |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
As1 = |
3,31 |
cm^2 |
|
przyjmuje As1 = |
|
7,07 |
|
<--- |
9 fi 12 |
|
|
|
|
|
|
|
|
|
|
|
|
ρL = |
0,0088375 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
NOŚNOŚĆ NA ŚCINANIE |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
k = 1 + ( √200/d) |
|
k = |
2,5811 |
|
Przyjmuje k =2 |
|
k = |
2 |
|
|
k1 = |
0,15 |
|
|
|
|
|
|
|
|
|
fck = |
20 |
MPa |
|
|
|
|
|
|
|
|
bw = |
1 |
m |
100 |
cm |
|
|
|
|
|
|
d = |
8,000 |
cm |
0,08 |
m |
|
|
|
|
|
|
As1 = |
7,07 |
cm^2 |
|
|
|
|
|
|
|
|
Vedmax = |
|
20,785 |
|
<---- wpisac z wlasnych obliczen |
|
|
|
|
|
|
qL = As1 / bz * d |
|
qL = |
0,0088375 |
|
|
|
|
|
|
|
Crdc = |
=0,18 / gammc = 0,18 / 1,5 = 0,12
0,12 |
|
|
|
|
|
|
|
|
|
Gcp = |
xxx:
naprezenia w betonie wywolane sprezeniem Gcp = 0
0 |
|
|
|
|
|
|
|
|
|
Vrdc = (Crdc * k *( (100 *qL *fck) ^1/3 + 0,15*Gcp))*bw*d |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Vrdc = |
0,050013552379662 |
MN = |
50,0135523796616 |
> Vedmax |
spełnia |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
BELKA DRUGORZEDNA |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
OBCIAŻENIE |
|
|
|
|
OBCIAZENIE CHARAKT. |
|
|
|
OBCIAZENIE OBL. |
|
|
|
|
|
|
kN/m |
|
|
γf |
kN/m |
|
|
|
|
|
|
|
|
|
|
|
|
Płyta stropowa |
|
|
|
|
|
|
|
|
|
|
gr = |
0,100 |
m |
|
|
|
|
|
|
|
|
gamma = |
25 |
kN/m^2 |
|
|
|
5 |
|
1,35 |
|
6,75 |
rozp.płyty |
3 |
m |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Warstwy |
|
|
|
|
|
3,61 |
|
1,35 |
|
4,874 |
wykończeniowe |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Cięzar własny |
|
|
|
|
|
0,307 |
|
1,35 |
|
0,414 |
belki przyjeto |
|
|
|
|
|
|
|
|
|
|
wstepnie |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Σ |
|
|
|
|
|
8,917 |
|
|
|
12,03795 |
|
|
|
|
|
|
|
|
|
|
|
Obc. Użytkowe |
|
|
|
|
|
20 |
|
1,5 |
|
30 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
SIŁY WEWNETRZNE |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
q = |
42,03795 |
|
l= |
4,2 |
m |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
M=q*l^2/8 |
92,69 |
kNm |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Q= |
88,279695 |
kN |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
WYMIAROWANIE SGN wplyw M |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
fy = |
235 |
N/mm^2 |
|
|
|
|
|
|
|
|
Wx = |
324000 |
|
|
|
|
|
|
|
|
|
MR = fy *Wx/yf |
|
|
MR = |
7,614E+07 |
76,14 |
kNm |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
SPRAWDZAM WARUNEK |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
M/MR= |
1,21741108156028 |
|
|
|
|
|
|
|
|
|
|
|
M/MR=<1 |
|
0 |
|
|
|
|
|
|