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ROZPIĘTOŚĆ |
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L= |
14,50 |
m |
14500 |
mm |
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XXXXX |
komórki które trzeba zedytować |
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WYSOKOŚĆ |
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h/l=1/ |
4 |
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XXXXX |
komórki które mogą być te same |
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H= |
3,63 |
m |
3625 |
mm |
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ROZSTYAW DZWIGARÓW |
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a= |
1,05 |
m |
1050 |
mm |
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DREWNO LITE KL C |
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18 |
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POKRYCIE DACZU |
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gont bitumiczny |
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BUDYNEK O WYMIARACH |
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OBC. ŚNIEGIEM |
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2 |
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OBC. WIATREM |
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2 |
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1.0 |
Geometria |
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tg α = |
0,50 |
=> |
α = |
26,565051177078 |
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cos α = |
0,894 |
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sin α = |
0,447 |
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L1 = |
4052,87320921837 |
mm |
4,053 |
m |
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L2= |
2026,43660460918 |
mm |
2,026 |
m |
Przyjęto |
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pas górny |
80 |
x |
190 |
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L3= |
4531,25 |
mm |
4,531 |
m |
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pas dolny |
80 |
x |
150 |
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L4= |
4531,25 |
mm |
4,531 |
m |
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krzyżulec |
70 |
x |
80 |
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L5= |
5437,5 |
mm |
5,438 |
m |
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2.0 Zestawienie obciążeń |
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2.1 Stałe dachu |
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γf |
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dachówka ceramiczna |
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0,460 |
1,2 |
0,552 |
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zabaczyć w notatkach i rozbić łaty i folię |
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łaty + folia |
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0,065 |
1,2 |
0,078 |
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q1k= |
0,710 |
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q1d= |
0,852 |
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2.2 Stałe stropu podwieszonego (pasa dolnego) |
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γf |
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Płyta GKF 12,5mm |
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0,150 |
1,2 |
0,180 |
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listwy 0,06*0,032*6 |
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0,031 |
1,1 |
0,034 |
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Folia aluminiowa |
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0,015 |
1,2 |
0,018 |
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Wełna mineralna 15cm |
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0,150 |
1,2 |
0,180 |
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q2k= |
0,340 |
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q2d= |
0,410 |
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2.3 Ciężar własny dachu |
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γf |
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g3kd= |
0,014 |
*L= |
0,203 |
1,1 |
0,223 |
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2.4 Obciążenie śniegiem |
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s=qk*C |
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γf |
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C=0,8+0,4*(α-15)/15 |
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0,947 |
1,4 |
1,326 |
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2.5 Obciążenie wiatrem |
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I wariant |
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q1= |
0,35 |
II strefa |
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Ce= |
1 |
teren A |
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β= |
1,8 |
bud niepodpiwniczony |
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C2(n)=0,015*α-0,2= |
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0,19847576765617 |
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C2(z)= |
-0,4 |
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qk |
γf |
qd |
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nawietrana |
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W1kd= |
q1*Ce*β*C2= |
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0,125 |
1,3 |
0,163 |
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zawietrzna |
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W2kd= |
q1*Ce*β*C2= |
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-0,252 |
1,3 |
-0,328 |
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II wariant |
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C2'= -0,045*(40-α) = |
-0,604572697031491 |
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qk |
γf |
qd |
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W1kd'= |
q1*Ce*β*C2'= |
-0,381 |
1,3 |
-0,495 |
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W2kd'= |
q1*Ce*β*C2= |
-0,252 |
1,3 |
-0,328 |
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3.0 Obliczenia sił obciążeń w węzłach kratownicy |
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3.1 Od obciążeń stałych i śniegu |
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0,5 g3 |
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a) pasa górnego |
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P1k(g1)= |
3,021 |
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P1k(g3)= |
0,386 |
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P1k(s)= |
3,605 |
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P1d(g1)= |
3,626 |
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P1d(g3)= |
0,850 |
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P1d(s)= |
5,046 |
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całkowite obciążenie w węźle pasa górnego |
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P1k= |
7,012 |
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P1d= |
9,52 |
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b) pasa dolnego |
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P2k(g2)= |
1,779 |
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P2k(g3)= |
0,531 |
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P2d(g2)= |
2,146 |
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P2d(g3)= |
0,584 |
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całkowite obciążenie w węźle pasa dolnego |
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P2k= |
2,311 |
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P2d= |
2,730 |
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3.2 Obciążenie skupione od wiatru |
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I wariant |
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W1k= |
1,540 |
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W2k= |
0,00 |
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II wariant |
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W1k'= |
-0,90 |
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W2k'= |
-1,33 |
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W1d= |
2,310 |
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W2d= |
0,00 |
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W1d'= |
-1,36 |
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W2d'= |
-2,00 |
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4.0 Siły wewnętrzne w prętach układu |
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4.1 Siły Mi1 od obciążeń jednostkowych węzłów |
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1 |
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2 |
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3 |
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4 |
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SIŁY |
Obciążenie jednostkowe węzłów |
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P1=1 |
P2=1 |
W1=1 |
W2=1 |
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1 |
G1 |
-3,370 |
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-2,230 |
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-1,75 |
-1,25 |
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-3,37 |
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2 |
G2 |
-2,920 |
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-2,230 |
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-1,75 |
-1,25 |
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-2,92 |
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3 |
G1' |
-3,370 |
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-2,230 |
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-1,25 |
-1,75 |
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-3,37 |
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4 |
G2' |
-2,920 |
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-2,230 |
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-1,25 |
-1,75 |
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-2,92 |
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5 |
D1 |
3,020 |
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2,000 |
|
1,33 |
1,12 |
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3,02 |
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6 |
D2 |
3,020 |
|
1,230 |
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0,21 |
1,12 |
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3,02 |
-2,23 |
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7 |
D1' |
3,020 |
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2,000 |
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0,21 |
2,25 |
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3,02 |
-2,23 |
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8 |
K1 |
-0,900 |
|
0,000 |
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-1,00 |
0,00 |
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-0,9 |
-2,23 |
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9 |
K1' |
-0,900 |
|
0,000 |
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0,00 |
-1,00 |
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-0,9 |
-2,23 |
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10 |
K2 |
1,000 |
|
1,250 |
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1,10 |
0,00 |
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1 |
2 |
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11 |
K2' |
1,000 |
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1,250 |
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0,00 |
1,10 |
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1 |
1,23 |
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2 |
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4.2 Siły wewmętrzne w prętach kratownicy |
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0 |
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0 |
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Siły |
Obciążenia węzłów obliczeniowych |
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1,25 |
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P1d= |
10,78 |
P2d= |
3,450 |
W1d |
W2d |
Ekstr |
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1,25 |
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G1, G1' |
-36,329 |
-7,694 |
-4,04 |
0,00 |
-48,065 |
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G2, G2' |
-31,478 |
-7,694 |
-4,04 |
0,00 |
-39,171 |
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D1, D1' |
32,556 |
6,900 |
1,70 |
0,00 |
39,456 |
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D2 |
32,556 |
4,244 |
1,70 |
0,00 |
36,799 |
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K1, K1' |
-9,702 |
0,000 |
3,07 |
0,00 |
-6,630 |
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K2, K2' |
10,780 |
4,313 |
-0,29 |
0,00 |
14,807 |
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4.3 Momenty zginające pasa górnego |
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4,202 |
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4,852 |
KNm |
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-8,627 |
KNm |
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4.4 Wymiarowanie prętów układu |
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Stan graniczny nośności nad podporą da się określić według zależności: |
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Wytrzymałości obliczeniowe materiału |
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-drewno kl C |
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18 |
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- charakterystyczne |
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fmk= |
18 |
MPa |
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fcok= |
18 |
MPa |
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ft0k= |
11 |
MPa |
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Eo,mean= |
9000 |
MPa |
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E0.05= |
6000 |
MPa |
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ρmean= |
380 |
kg/m3 |
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ρk= |
320 |
kg/m3 |
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kmod= |
klasa użytkowania 2 |
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klasa trwania obciążenia |
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stałe |
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śnieg - średniotrwałe |
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wiatr - krótkotrwałe |
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materiał - drewno lite |
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- drewno lite |
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γm= |
1,3 |
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kmod= |
0,9 |
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βc= |
0,2 |
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f cod= |
12,4615384615385 |
MPa |
na ściskanie |
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f tod= |
7,62 |
MPa |
na rozciąganie |
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f myd= |
12,46 |
MPa |
w obu kierunkach |
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Parametry przekroju |
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pas górny |
|
80 |
x |
190 |
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pole powierzchni przekroju Ad= |
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|
15200 |
mm2 |
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Wy= |
481,333333333333 |
x10^3 mm3 |
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Jy= |
54,91 |
mm |
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4053 |
mm |
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Jz= |
23,12 |
mm |
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smukłość |
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73,8 |
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4.5 Nośność pasa górnego |
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Nad podporą Kcy=1 |
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3,16 |
N/mm2 => |
|
3,16 |
Mpa |
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17,92 |
Mpa |
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1,503 |
< 1 |
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. |
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warunek nie spełniony |
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W przęśle |
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10,86 |
Mpa |
|
1,408 |
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1,287 |
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0,506 |
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3,16 |
N/mm2 => |
|
3,16 |
Mpa |
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|
10,08 |
Mpa |
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1,310 |
< 1 |
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. |
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warunek nie spełniony |
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4.6 Nośność pasa dolnego |
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4531 |
5438 |
4531 |
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1 |
1,20 |
1 |
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|
0,548 |
kN/m |
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α1= |
0,07 |
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źle |
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αp= |
-0,12 |
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źle |
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Dla |
1 |
1,20 |
1 |
przyjęto 1 |
|
1,20 |
1 |
|
α2= |
0,06 |
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źle |
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|
0,8019 |
kNm |
|
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|
|
0,6545 |
kNm |
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|
|
-1,3698 |
kNm |
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Warunek nośności |
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Pas dolny przyjęto |
|
|
80 |
150 |
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Anet= |
12000 |
mm2 |
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|
σ tod= |
3,288 |
N/mm2 |
|
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Wn= |
300,0 |
x10^3mm3 |
|
|
|
σ myd= |
4,57 |
N/mm3 |
|
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D1d= |
39,46 |
kN |
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Mpd= |
-1,37 |
kNm |
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Przekrój dobrany prawidłowo. |
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0,798 |
< 1 |
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waunek spełniony |
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. |
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4.7 Nośność krzyżulca |
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Przyjęto przekrój krzyżulca |
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b= |
70 |
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h= |
80 |
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Ad=b*h= |
5600 |
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f cod= |
12,4615384615385 |
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βc= |
0,2 |
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i=0,289*b= |
20,23 |
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λ cz=L2/i= |
100,2 |
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0,294 |
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1,747 |
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5,90 |
Mpa |
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2,151 |
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1,18 |
Mpa |
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0,324 |
< 1 |
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waunek spełniony |
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. |
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5.0 Złącza na płytki kolczaste |
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WĘZEŁ A |
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a= |
212,43 |
> B |
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L1= |
424,85 |
> L |
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Przyjmuję płytkę M16 |
B= |
229 |
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L= |
305 |
(tab. 7-2) |
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F1 = |
100 |
N/cm2 - nośność obliczeniowa płytek typu M16 z uwagi na docisk |
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kloców do drewna (z tab. 7-9 β=0 i α= |
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26,565051177078 |
) |
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Wymagana powierzchnia docisku kolców do otaczającego drewna . |
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Pas górny |
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Pas dolny |
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η= |
0,65 |
(tab 7.12) |
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η= |
0,8 |
(tab 7-12) |
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369,73 |
cm2 |
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246,5975 |
cm2 |
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Rzeczywiste powierzchnie netto płytki |
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Pas górny |
|
A g net= B' *L' *0,5 |
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L1= |
424,9 |
mm |
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B'=B-10= |
209 |
mm |
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L'=L-10= |
285 |
mm |
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A g net= |
297,825 |
cm2 > |
369,73 |
cm2 |
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. |
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warunek nie spełniony |
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Pas dolny |
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L2= |
300,0 |
mm |
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B'= |
130 |
mm |
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L'= |
290,0 |
mm |
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A d net= |
182 |
cm2 > |
246,60 |
cm2 |
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. |
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warunek nie spełniony |
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Ostatecznie przyjęto płytkę M16 |
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229 |
305
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mm |
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Scinanie |
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469,326257254744 |
N/cm |
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512,1 |
mm |
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α = |
30 |
F1v = |
535 |
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α = |
26,565051177078 |
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F1v = |
505 |
> Fv= |
469 |
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α = |
45 |
F1v = |
665 |
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waunek spełniony |
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(z tabeli 7-11 z interpolacji liniowej) |
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. |
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WĘZEŁ B |
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- Pas górny |
|
PIId = G1d - G2d = |
8,894 |
kN |
bk= |
80 |
mm |
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P1d= |
9,52 |
kN |
l1= |
185 |
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P1┴ = |
8,517 |
kN |
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tg α = |
1,04424224965504 |
=> α= |
46,24 |
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12,31 |
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tg β = |
0,957632197251492 |
=> β= |
43,76 |
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Przyjęto szerokość płytki M16 B= |
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|
76 |
(tab 7-2) |
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β = |
45 |
F1 = |
77 |
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β = |
43,76 |
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F1v = |
78 |
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β = |
60 |
F1 = |
70 |
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|
(z tabeli 7-9 z interpolacji liniowej) |
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- Wymagana powierzchnia płytki |
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79,36 |
cm2 |
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Rzeczywista powierzchnia |
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A g net = |
99,00 |
> |
79,36 |
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|
waunek spełniony |
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. |
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- Krzyżulec |
|
K1d= |
6,63 |
kN |
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33,15 |
cm2 |
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F1k1= |
100 |
N/cm2 - nośność obliczeniowa płytek typu M16 z uwagi na docisk |
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|
kloców do drewna (z tab. 7-9 β=0 i α=0 |
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|
interpolowana liniowo) |
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według tab 7-2 przyjmuję długość L= |
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|
305 |
|
|
L1= |
185 |
mm |
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L2= |
120 |
mm |
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A k net = (bk-20)*(L1-20) |
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A k net = |
60,00 |
>
|
33,15 |
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|
waunek spełniony |
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- Ścięcie płytki |
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Nośność obliczeniowa płytek typu M16 na ścinanie F1v [N/cm] z tablicy 7-11 dla: |
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α = |
90 |
F1v = |
570 |
N/cm |
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626,444884734655 |
N/cm |
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lv = |
76,0 |
mm |
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F1v = |
570 |
> Fv= |
626,4 |
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warunek nie spełniony |
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Ostatecznie przyjęto płytkę M16 |
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76 |
305 |
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WĘZEŁ D |
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D II= d1d - D2d = |
2,657 |
kN |
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D┴ =P2d = |
2,730 |
kN |
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3,81 |
kN |
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Przyjęto płytki M16 o wymiarach |
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152
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305 |
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- Zakotwienie płytki w pasie dolnym |
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1,03 |
=> β = |
45,78 |
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F1d = |
92 |
N/cm2 - nośność obliczeniowa płytek typu M16 z uwagi na docisk |
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kloców do drewna (z tab. 7-9 β=15 i α=15) |
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20,70 |
cm2 |
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6,63 |
kN |
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35,3188364764269 |
cm2 |
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F1k1= |
94 |
N/cm2 - nośność obliczeniowa płytek typu M16 z uwagi na docisk |
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α = |
45 |
F1 = |
100 |
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kloców do drewna (z tab. 7-9 β=0 i α=90- |
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26,565051177078
|
interpolowana liniowo) |
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α = |
63,43 |
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F1v = |
94 |
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α = |
60 |
F1 = |
95 |
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- Zakotwienie płytki w krzyżulcu K2 = |
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14,81 |
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(z tabeli 7-9 z interpolacji liniowej) |
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71,07776209811 |
cm2 |
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arc tg |
1,33333333333333 |
=> |
53,130102354156 |
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F2k= |
104 |
N/cm2 - nośność obliczeniowa płytek typu M16 z uwagi na docisk |
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α = |
60 |
F1 = |
95 |
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kloców do drewna (z tab. 7-9 β=0 i α= |
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53,1 |
interpolowana liniowo) |
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α = |
53,13 |
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F1v = |
104 |
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α = |
75 |
F1 = |
75 |
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Sprawdzenie powierzchni efektywnych: |
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αk1 = |
63,434948822922 |
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(z tabeli 7-9 z interpolacji liniowej) |
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Ak1n= |
44,3 |
> |
Ak1 = |
35,32 |
sin |
63,434948822922 |
=> |
0,894 |
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Ak2n= |
49,5 |
> |
Ak1 = |
71,08 |
sin |
53,130102354156 |
=> |
0,800 |
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Adn= |
201,3 |
> |
Ak2 = |
20,70 |
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- ścięcie płytek |
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lv = |
305
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cm |
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F1v = |
450 |
N/cm odczytana z tab 7-11 dla α=0 i M16 |
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V = DII = |
2,657 |
kN |
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43,5 |
< |
450 |
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|
waunek spełniony |
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. |
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Ostatecznie przyjęto w węźle D płytkę 2xM16 o wymiarach |
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152
|
305 |
mm |
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WĘZEŁ C |
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- Zakotwienie płytki w pasie górnym ze względu na siłę P1d. |
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F1 = |
58 |
N/cm2 - nośność obliczeniowa płytek typu M16 z uwagi na docisk |
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β = |
30 |
F1 = |
58 |
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kloców do drewna (z tab. 7-9 β= |
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26,565051177078 |
i α=90 interpolowana liniowo) |
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β = |
26,57 |
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F1v = |
58 |
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β = |
45 |
F1 = |
57 |
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Przyjęto płytki M16 o szerokości B= |
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114 |
mm i długości L= |
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203 |
mm |
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(z tabeli 7-9 z interpolacji liniowej) |
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0,55*B < 0,5*L |
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62,7 |
mm < |
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101,5 |
mm |
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P1d = |
10,78 |
kN |
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46,28 |
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Apn = |
60,078 |
> |
46,28 |
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waunek spełniony |
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. |
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- Ścięcie płytki |
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lv = |
114,0 |
mm |
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Nośność obliczeniowa płytek typu M16 na ścinanie F1v [N/cm] z tablicy 7-11 dla: |
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α = |
90 |
F1v = |
570 |
N/cm |
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472,8 |
N/cm |
F1v > Fv |
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570 |
> |
472,8 |
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|
waunek spełniony |
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. |
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Ostatecznie przyjęto w węźle C płytkę 2xM16 o wymiarach |
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114
|
203 |
mm |
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- Zakotwienie płytki dolnej w krzyżulcu K2 |
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Przyjęto płytki M16 o wymiarach |
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|
171
|
mm |
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K2d = |
14,81 |
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71,08 |
cm2 |
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F1 = |
104 |
N/cm2 - nośność obliczeniowa płytek typu M16 z uwagi na docisk |
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α = |
60 |
F1 = |
95 |
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kloców do drewna (z tab. 7-9 β=0 i α= |
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|
53,1 |
interpolowana liniowo) |
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α = |
53,13 |
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F1v = |
104 |
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α = |
75 |
F1 = |
75 |
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|
- Zakotwienie płytki dolnej w pasie górnym |
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(z tabeli 7-9 z interpolacji liniowej) |
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K2d = |
14,81 |
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φ1 = φk2 - φG = |
26,6 |
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G2d-1= K2d *cosφ1 = |
13 |
kN |
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66,22 |
cm3 |
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F1 = |
100 |
N/cm2 - nośność obliczeniowa płytek typu M16 z uwagi na docisk |
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kloców do drewna (z tab. 7-9 β=0 i α= |
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26,565051177078 |
) |
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Przyjęto płytki M16 o wymiarach |
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171 |
407 |
mm |
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Sprawdzenie powierzchni efektywnych: |
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10,6 |
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Ag2n = |
92,88 |
> Ag2= |
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66,22 |
cm3 |
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waunek spełniony |
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Ak2n = |
67,58 |
> Ak2= |
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71,08 |
cm2 |
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warunek nie spełniony |
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- sprawdzenie wytrzymałości płytki na ścinanie |
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lv = 0,5*L/cosα = |
22,75 |
cm |
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Nośność obliczeniowa płytek typu M16 na ścinanie F1v [N/cm] z tablicy 7-11 dla: |
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α = |
26,565051177078 |
F1v = |
567 |
N/cm |
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β = |
30 |
F1 = |
535 |
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291,0 |
N/cm |
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β = |
33,70 |
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F1v = |
567 |
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β = |
45 |
F1 = |
665 |
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(z tabeli 7-11) |
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F1v > Fv |
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567,066666666667 |
> |
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291,0 |
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waunek spełniony |
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. |
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Ostatecznie przyjęto w węźle C płytkę 2xM16 o wymiarach |
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171
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407 |
mm |
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6.0 Połączenie pasa dolnego na długości |
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Połączenie przyjęto w punkcie przęsła środkowego gdzie nie występuje moment zginający, |
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w odległości od węzła D wynoszącej: |
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le = 0,2*l= |
1087,5 |
mm |
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W punkcie E działa siła podłużna rozciągająca Nd2= |
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36,80 |
kN oraz obciążenie pasa: |
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qd = |
0,5499375 |
kN/m |
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0,897085546875 |
kN |
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Me = 0 |
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Przyjęto płytki M16 o szerokości |
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76 |
mm |
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. |
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Wypadkowa |
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Wd = |
36,810032916155 |
kN |
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Potrzedna powierzchnia płytki M16 (dla β=0, F1= |
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100 |
N/cm2 ) |
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arc tgε = |
0,024377920842494 |
=> ε= |
1,39647538753256 |
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An = |
184,050164580775 |
cm2 |
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Potrzebna długość płytki: |
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lp > An/b = |
24,217126918523 |
cm |
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0,55*b= |
41,8 |
< |
242,17126918523 |
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warunek producenta nie został spełniony |
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Zastosowano połączenia na gwoździe jednocięte |
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Zastosowano nakładki grubości |
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25 |
mm i gwoździe jednocięte |
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d= |
3,5
|
90 |
mm |
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Obliczenie nośności gwoździ na 1 cięcie: |
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t1 = |
25 |
mm |
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l2 = |
58,75 |
mm |
> |
80 |
mm |
gwoździe nie mogą być wbijane w jednej osi |
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t2 = |
80 |
mm |
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= |
12,4750580308956 |
Mpa |
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= |
1091,56757770336 |
N |
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3493,01624865077 |
N |
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1165 |
N |
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4250,66359263647 |
Nmm |
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1338,56725585145 |
N |
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569,397768048224 |
N |
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670,179840899426 |
N |
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569 |
N |
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n= |
32,3 |
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toteż przyjęto |
34 |
gwoździ z każdej strony styku oraz z każdej steony elementu. |
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Rozmieszczenie gwoździ |
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(5+5*cosα)*d= |
35 |
mm |
|
- rozstaw wzdłuż włókien |
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5 * d = |
17,5 |
mm |
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- rozstaw prostopadły do włókien |
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5 * d = |
17,5 |
mm |
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- odl. od krawędzi nieobc. prostop. do włukien |
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prz. |
20 |
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(5+5*sinα)*d= |
17,9 |
mm |
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- odl.od krawędzi obc. prostop. do włókien |
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prz. |
20 |
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10*d = |
35 |
mm |
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- odl. od końca nieobc. wzdł. Włókien |
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prz. |
40 |
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(10 + 5 * cosα)*d= |
|
52,5 |
mm |
- odl.od końca odc. wzdł. Włókien |
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prz. |
60 |
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Liczba szeregów gwoździ w pasie |
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6,28571428571429 |
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przyjęto |
7 |
szeregi co |
|
20 |
mm |
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Liczba rzędów gwoździ w pasie |
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9,71428571428571 |
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Długość nakładek |
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480 |
mm |
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II Stan graniczny użytkowalności |
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(Ugięcie dźwigara kratowego) |
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Ugięcie od obciążeń stałych |
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Obciążenie charakterystyczne w węzłach układu |
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3,408 |
kN |
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2,311 |
kN |
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Pręty |
Długość |
Pole |
Ni1 |
Nik' [N] |
Ni2 |
Nik'' [N] |
Nik= |
U inst |
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przek |
P1=1 |
3,408 |
P2=1 |
2,311 |
Nik'+Nik'' |
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|
|
|
|
G1 |
4053 |
15200 |
-3,37 |
-11484 |
-2,23 |
-5153 |
-16637 |
1,0991 |
|
|
|
|
|
|
|
G2 |
4053 |
15200 |
-2,92 |
-9951 |
-2,23 |
-5153 |
-15103 |
0,9978 |
|
|
|
|
|
|
|
G1' |
4053 |
15200 |
-3,37 |
-11484 |
-2,23 |
-5153 |
-16637 |
1,0991 |
|
|
|
|
|
|
|
G2' |
4053 |
15200 |
-2,92 |
-9951 |
-2,23 |
-5153 |
-15103 |
0,9978 |
|
|
|
|
|
|
|
D1 |
4531 |
12000 |
3,02 |
10291 |
2 |
4621 |
14913 |
1,2514 |
|
|
|
|
|
|
|
D2 |
5438 |
12000 |
3,02 |
10291 |
1,23 |
2842 |
13133 |
0,8133 |
|
|
|
|
|
|
|
D1' |
4531 |
12000 |
3,02 |
10291 |
2 |
4621 |
14913 |
1,2514 |
|
|
|
|
|
|
|
K1 |
2026 |
5600 |
-0,9 |
-3067 |
0 |
0 |
-3067 |
0,0000 |
|
|
|
|
|
|
|
K1' |
2026 |
5600 |
-0,9 |
-3067 |
0 |
0 |
-3067 |
0,0000 |
|
|
|
|
|
|
|
K2 |
4531 |
5600 |
1 |
3408 |
1,25 |
2888 |
6296 |
0,7076 |
|
|
|
|
|
|
|
K2' |
4531 |
5600 |
1 |
3408 |
1,25 |
2888 |
6296 |
0,7076 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Σ = |
8,9251 |
|
|
|
|
|
|
|
|
U inst = 0,5 * Σ = |
|
|
4,4625393184885 |
mm |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4,4625393184885 |
|
7,1400629095816 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
od śniegu |
|
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|
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|
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|
|
|
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|
|
|
Pręty |
Długość |
Pole |
Ni1 |
Nik' [N] |
Ni1od P2 |
u |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
przek |
P1=1 |
3,605 |
P2=1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
G1 |
4053 |
15200 |
-3,37 |
-12147 |
-2,23 |
0,516 |
|
|
|
|
|
|
|
|
|
|
|
G2 |
4053 |
15200 |
-2,92 |
-10525 |
-2,23 |
0,447 |
|
|
|
|
|
|
|
|
|
|
|
G1' |
4053 |
15200 |
-3,37 |
-12147 |
-2,23 |
0,516 |
|
|
|
|
|
|
|
|
|
|
|
G2' |
4053 |
15200 |
-2,92 |
-10525 |
-2,23 |
0,447 |
|
|
|
|
|
|
|
|
|
|
|
D1 |
4531 |
12000 |
3,02 |
10886 |
2 |
0,587 |
|
|
|
|
|
|
|
|
|
|
|
D2 |
5438 |
12000 |
3,02 |
10886 |
1,23 |
0,433 |
|
|
|
|
|
|
|
|
|
|
|
D1' |
4531 |
12000 |
3,02 |
10886 |
2 |
0,587 |
|
|
|
|
|
|
|
|
|
|
|
K1 |
2026 |
5600 |
-0,9 |
-3244 |
0 |
0,000 |
|
|
|
|
|
|
|
|
|
|
|
K1' |
2026 |
5600 |
-0,9 |
-3244 |
0 |
0,000 |
|
|
|
|
|
|
|
|
|
|
|
K2 |
4531 |
5600 |
1 |
3605 |
1,25 |
0,260 |
|
|
|
|
|
|
|
|
|
|
|
K2' |
4531 |
5600 |
1 |
3605 |
1,25 |
0,260 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Σ = |
4,0545 |
|
|
|
|
|
|
|
|
|
|
U inst = 0,5 * Σ = |
|
|
2,02722941070954 |
mm |
|
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|
|
2,02722941070954 |
|
|
|
2,53403676338692 |
|
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|
od wiatru |
|
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|
|
sprawdz czy te wartości są właściwe dobrane |
|
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|
|
|
Pręty |
Długość |
Pole |
Ni1 |
Nik(W) od |
Ni1 od |
Nik(W) od |
|
|
Ni2 |
|
|
|
|
|
|
|
|
|
|
|
przek |
W1=1 |
Wn1k= |
1,540 |
W2=-1 |
Wo2k= |
0,00 |
|
|
P2=1 |
|
|
|
|
|
|
|
|
G1 |
4053 |
15200 |
-1,75 |
-2695,00 |
-1,25 |
0,00 |
-2695 |
-2,23 |
0,114 |
|
|
|
|
|
|
G2 |
4053 |
15200 |
-1,75 |
-2695,00 |
-1,25 |
0,00 |
-2695 |
-2,23 |
0,114 |
|
|
|
|
|
|
G1' |
4053 |
15200 |
-1,25 |
-1925,00 |
-1,75 |
0,00 |
-1925 |
-2,23 |
0,082 |
|
|
|
|
|
|
G2' |
4053 |
15200 |
-1,25 |
-1925,00 |
-1,75 |
0,00 |
-1925 |
-2,23 |
0,082 |
|
|
|
|
|
|
D1 |
4531 |
12000 |
1,33 |
2048,20 |
1,12 |
0,00 |
2048 |
2 |
0,110 |
|
|
|
|
|
|
D2 |
5438 |
12000 |
0,21 |
323,40 |
1,12 |
0,00 |
323 |
1,23 |
0,013 |
|
|
|
|
|
|
D1' |
4531 |
12000 |
0,21 |
323,40 |
2,25 |
0,00 |
323 |
2 |
0,017 |
|
|
|
|
|
|
K1 |
4053 |
5600 |
-1 |
-1540,00 |
0 |
0,00 |
-1540 |
0 |
0,000 |
|
|
|
|
|
|
K1' |
4053 |
5600 |
0 |
0,00 |
-1 |
0,00 |
0 |
0 |
0,000 |
|
|
|
|
|
|
K2 |
4053 |
5600 |
1,1 |
1694,00 |
0 |
0,00 |
1694 |
1,25 |
0,109 |
|
|
|
|
|
|
K2' |
4053 |
5600 |
0 |
0,00 |
1,1 |
0,00 |
0 |
1,25 |
0,000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Σ = |
0,643 |
|
|
|
|
|
|
|
U inst = 0,5 * Σ = |
|
|
0,321353070987396 |
mm |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
0,321353070987396 |
|
|
|
|
|
|
|
|
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|
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|
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|
|
Udop = |
|
24,1666666666667 |
mm |
|
|
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|
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|
|
|
|
|
|
|
Ufin= |
|
9,67 |
mm |
|
bez obciążenia wiatrem gdyż daje ono ugięcie odwrotne |
|
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|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9,67 |
< |
24,1666666666667 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
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|
|
|
warunek spełniony |
|
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|