POZYCJA 1.0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
BELKA STROPOWA |
|
|
|
|
|
|
|
|
Rozstaw belek : a= |
|
2,4 |
[m] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Za³o¿ono dwuteownik I 300 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wymiary : |
|
|
jednostka: [mm] |
|
|
|
|
|
s= |
125 |
|
;szerokoϾ stopki dwuteownika |
|
|
|
|
|
hs= |
80 |
|
;gruboœæ p³yty ¿elbetowej |
|
|
|
|
|
ho= |
300-h+20= |
240 |
;wysokoϾ obetonowania |
|
|
|
|
|
ao= |
s+40= |
165 |
;dolna szerokoϾ obetonowania |
|
|
|
|
|
bo= |
ao+2ho*cos 60= |
405 |
;górna szerokoœæ obetonowania |
|
|
|
|
|
|
|
|
|
|
|
|
|
POZYCJA 1.1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Schemat statyczny: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
jednostki [m] |
|
|
|
|
|
b= |
6,2 |
|
;d³ugoœæ belki stropowej |
|
|
|
|
|
lo= |
1,025*b= |
6,355 |
;d³ugoœæ obliczeniowa belki stropowej |
|
|
|
|
|
|
|
|
|
|
|
|
|
POZYCJA 1.2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Zebranie obci¹zeñ: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Obci¹¿enia s¹ zbierane z pasma o szerokoœci a=2,4m na d³ugoœci 1m |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Obci¹¿enia sta³e: |
|
g ch |
|
g o |
|
|
|
|
1)ciê¿ar w³asny |
|
|
|
|
|
|
|
|
*g³ad¿ cementowa gr. 2cm |
|
1,01 |
1,3 |
1,31 |
|
|
|
|
*p³yta ¿elbetowa gr.8cm |
|
4,61 |
1,1 |
5,07 |
|
|
|
|
*obetonowanie dwuteownika |
|
1,57 |
1,3 |
2,05 |
|
|
|
|
*ciê¿ar dwuteownika T300 |
|
0,54 |
1,1 |
0,59 |
|
|
|
|
|
|
7,73 |
|
9,02 |
[kN/m] |
|
|
|
|
|
|
|
|
|
|
|
|
Obci¹¿enia zmienne: |
|
p ch |
|
p o |
|
|
|
|
1)obci¹¿enie u¿ytkowe |
|
12 |
1,4 |
16,8 |
|
|
|
|
|
|
12 |
|
16,8 |
[kN/m] |
|
|
|
|
|
|
|
|
|
|
|
|
*Obci¹¿enia charakterystyczne z szerokoœci a=2,4m: |
|
|
|
|
|
|
|
|
|
g ch= |
7,73 |
|
[kN/m] |
|
|
|
|
|
p ch= |
12 |
|
[kN/m] |
|
|
|
|
|
q ch= |
g ch+p ch= |
19,73 |
[kN/m] |
|
|
|
|
|
|
|
|
|
|
|
|
|
*Obci¹¿enia obliczeniowe z szerokoœci a=2,4m: |
|
|
|
|
|
|
|
|
|
g o= |
9,02 |
|
[kN/m] |
|
|
|
|
|
p o= |
16,80 |
|
[kN/m] |
|
|
|
|
|
q o= |
g o+p o= |
25,82 |
[kN/m] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
POZYCJA 1.3 |
|
|
|
|
|
|
|
|
|
Obliczenia statyczne: |
|
|
|
|
|
|
|
|
|
Schemat statyczny z pozycji 1.1 |
|
|
|
|
|
|
|
|
Ra=Rb= |
0,5*q o*l o= |
82,04 |
[kN] |
|
|
|
|
|
Mmax = |
0,125*q o*lo2= |
130,34 |
[kNm] |
|
|
|
|
Wykresy si³ wewnêtrznych: |
|
|
|
|
|
|
|
|
|
*si³y tn¹ce: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
*momenty zginaj¹ce: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
POZYCJA1.4 |
|
|
|
|
|
|
|
|
|
Wymiarowanie belki: |
|
|
|
|
|
|
|
|
|
M=<MR |
M= |
130,34 |
[kNm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
POZYCJA 1.4.1 |
|
|
|
|
|
|
|
|
Okreœlenie klasy przekroju: |
|
|
|
|
|
|
|
|
|
Stal St3S |
fd= |
215 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1,00 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
r= |
6,5 |
[mm] |
|
|
|
|
|
|
tf= |
16,2 |
[mm] |
|
|
|
|
|
|
tw= |
10,8 |
[mm] |
|
|
|
|
|
|
h= |
300 |
[mm] |
|
|
|
|
|
|
s= |
125 |
[mm] |
|
|
|
|
|
*dla pasa: |
|
|
|
|
|
|
|
|
bf= |
(s-tw)*0,5= |
57,1 |
[mm] |
|
|
|
|
|
tf= |
16,2 |
|
[mm] |
|
|
|
|
|
bf/tf= |
3,52 |
=<9*e=9,0 |
|
|
|
|
|
|
|
|
klasa 1 przekroju |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
*dla œrodnika: |
|
|
|
|
|
|
|
|
bw= |
h-2*(tf+r)= |
254,6 |
[mm] |
|
|
|
|
|
tw= |
10,8 |
|
[mm] |
|
|
|
|
|
bw/tw= |
23,57 |
=<33*e=33,0 |
|
|
|
|
|
|
|
|
klasa 1 przekroju |
|
|
|
|
Na podstawie dokonanych obliczeñ stwierdzono 1 klasê przekroju. |
|
|
|
|
|
|
|
|
|
M=<MR |
|
|
|
|
|
|
|
|
dla przekroju klasy 1 MR=a p*W*fd |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
M= |
130,34 |
|
[kNm] |
|
|
|
|
|
fd= |
215,00 |
|
[MPa] |
|
|
|
|
|
a p= |
1,00 |
|
;belka wolnopodparta, |
|
|
|
|
|
|
|
|
nie zak³adam przegubów |
|
|
|
|
|
|
|
|
plastycznych |
|
|
|
|
|
W=>M/(a p*fd)= |
606,22 |
|
[cm3] |
|
|
|
|
|
dla T300 W= |
653 |
=>Wpotrz |
[cm3] |
|
|
|
Sprawdzenie: |
|
|
|
|
|
|
|
|
M= |
130,34 |
=<MR=a p*W*fd= |
140,395 |
|
[kNm] |
|
|
|
|
|
|
warunek spe³niony |
|
|
|
|
|
Przyjêto dwuteownik T300, W=653cm3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
POZYCJA1.5 |
|
|
|
|
|
|
|
|
|
Sprawdzenie ugiêæ belki: |
|
|
|
|
|
|
|
|
warunek: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
E= |
205 |
[GPa] |
;modu³ Younga dla stali |
|
|
|
|
|
J= |
15700 |
[cm4] |
;moment bezw³. dla T300 |
|
|
|
|
|
q ch= |
19,73 |
[kN/m] |
;wg pozycji 1.2 |
|
|
|
|
|
lo= |
6,36 |
[m] |
;wg pozycji 1.1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
fdop= |
0,025 |
[m] |
|
|
|
|
|
|
f= |
0,013 |
[m] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
fdop>f |
|
|
|
|
|
|
|
|
warunek spe³niony |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
POZYCJA1.6 |
|
|
|
|
|
|
|
|
|
Oparcie belki na murze: |
|
|
|
|
|
|
|
|
|
Oparcie belki na murze za poœrednictwem podk³adki. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
*Przyjmujê szerokoœæ podk³adki ap=125mm+2*25mm=175mm |
|
|
|
|
|
|
|
|
*G³êbokoœæ oparcia na murze: |
|
|
|
|
|
|
|
|
|
smuru= |
3,00 |
[MPa] |
|
|
|
|
|
|
ap= |
17,5 |
[cm] |
|
|
|
|
|
|
R= |
82,04 |
[kN] |
|
|
|
|
|
|
R/(c*ap)=<smuru |
|
|
|
|
|
|
|
|
c=>R/(smuru*ap)= |
156,26 |
[mm] |
|
|
|
|
|
|
oraz musi byæ spe³niony warunek: |
|
c=<150+h/3=250mm |
|
|
|
|
|
Przyjêto g³êbokoœæ oparcia na murze c= |
|
|
16 |
cm |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
*Okreœlenie gruboœci podk³adki: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
ep=0,5*(ap+s)= |
20 |
[mm] |
|
|
|
|
|
|
s=R/(c*ap)= |
2,93 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ma = 0,5*s*e2 = |
0,59 |
[kNm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ma / Wp=<fd |
|
|
|
|
|
|
|
|
Wp=>Ma /fd |
|
|
|
|
|
|
|
|
Wp=> |
2,73 |
[cm3] |
|
|
|
|
|
|
Wp=Ixp/(0,5*s)=ap*gp3/(6*s) |
|
|
|
|
|
|
|
|
gp=> |
0,98 |
[cm] |
|
|
|
|
|
Przyjêto gruboœæ podk³adki gp=1cm |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
*Okreœlenie wytrzyma³oœci œrodnika: |
|
|
|
|
|
|
|
|
|
Ra=P=<PRW=co*tw*hc*fd |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
tw= |
10,8 |
[mm] |
;gruboœæ œrodnika |
|
|
|
|
|
co= |
177,3 |
[mm] |
|
|
|
|
|
|
fd= |
215 |
[MPa] |
|
|
|
|
|
|
hc= |
1,25-0,5*sc/fd |
|
|
|
|
|
|
|
|
je¿eli:sc+<0,5*fd |
|
|
|
|
|
|
|
sc=Ra/(c*tw)= |
47,48 |
[MPa] |
|
|
|
|
|
|
sc=47,48=<0,5*fd=107,5 zatem hc=1,00 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
PRW= |
411,69 |
[kN] |
|
|
|
|
|
|
PRW=411,69=>Ra=82,04 |
|
[kN] |
|
|
|
|
|
|
|
warunek spe³niony |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
POZYCJA 2.0 |
|
|
|
|
|
|
|
|
|
PODCI¥G |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
POZYCJA 2.1 |
|
|
|
|
|
|
|
|
|
SCHEMAT STATYCZNY, OBCI¥¯ENIA |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Przyjêto schemat statyczny jako belkê wolnopodpart¹ . |
|
|
|
|
|
|
|
|
|
a= |
2,4 |
[m] |
|
|
|
|
|
|
n= |
9 |
|
|
|
|
|
|
|
L=n*a= |
21,6 |
[m] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Obci¹¿enia: |
|
|
|
|
|
|
|
|
*si³y skupione => reakcje ze stropu: |
|
|
|
|
|
|
|
|
|
P=2*Ra= |
164,08 |
[kN] |
|
|
|
125,379066 |
|
W dalszych obliczeniach si³y skupione zast¹piono obci¹¿eniem ci¹g³ym g |
|
|
|
|
|
|
52,2412775 |
|
|
g=P/a= |
68,36 |
[kN/m] |
|
|
|
54,67 |
|
*ciê¿ar w³asny blachownicy (szacunkowy): |
|
|
|
|
|
|
|
|
gbl=(0,7+0,1*L)*0,85= |
|
2,43 |
[kN/m] |
|
|
|
|
|
*obci¹¿enie sumaryczne: |
|
|
|
|
|
|
|
|
|
q=g+gbl= |
70,80 |
[kN/m] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
POZYCJA 2.2 |
|
|
|
|
|
|
|
|
|
OBLICZENIA STATYCZNE |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Mmax p = |
0,125 * q * L2= |
4128,81 |
[kNm] |
|
|
|
|
|
Ra p = Rb p = |
0,5 * q * L= |
764,60 |
[kN] |
|
|
|
|
|
|
|
|
|
|
|
|
POZYCJA 2.3 |
|
|
|
|
|
|
|
|
|
WYMIAROWANIE PRZEKROJU : |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
POZYCJA 2.3.1 |
|
|
|
|
|
|
|
|
|
WSTÊPNE PRZYJÊCIE PRZEKROJU POPRZECZNEGO: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wstêpne przyjêcie wymiarów œrodnika: |
|
|
|
|
|
|
|
|
Wpotrz= |
max M p / fd |
|
|
|
|
|
|
|
Mmax p = |
4128,81 |
[kNm] |
;wg pozycji 2.2 |
|
|
|
|
|
fd= |
295,00 |
[MPa] |
;dla stali 18G2 gruboœci g>16 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wpotrz= |
13995,98 |
[cm3] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
przyjêto gœr= |
13 |
[mm] |
|
|
|
|
|
|
hœr={1,1;1,2}*(Wpotrz/gœr )0,5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
hœr= |
114,136015493506 |
[cm] |
|
|
|
|
|
|
= |
124,512016902006 |
[cm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Przyjêto hœr= |
147 |
[cm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Okreœlenie smuk³oœci blachownicy : |
|
|
|
|
|
|
|
|
|
hœr/gœr= |
113,08 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wstêpne przyjêcie wymiarów pasów: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Moment zginaj¹cy wstêpnie zastêpujê par¹ si³: |
|
|
|
|
|
|
|
|
|
M=H*l |
|
|
|
|
|
|
|
|
l=(hœr+gp)= |
149 |
|
[cm] |
|
|
|
|
|
M max p= |
4128,81 |
|
[kNm] |
|
|
|
|
|
|
hœr= |
147 |
[cm] |
|
|
|
|
|
|
gp= |
2 |
[cm] |
|
|
|
|
|
H=Mmaxp/l= |
2771,02 |
|
[kN] |
|
|
|
|
|
B=0,25*hœr= |
36,75 |
|
[cm] |
|
|
|
|
|
Przyjêto B= |
37 |
|
[cm] |
|
|
|
|
|
gp=H/(B*fd)= |
2,54 |
|
[cm] |
|
|
|
|
Przyjęto grubość pasów gp= |
|
4 |
[cm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
POZYCJA 2.3.2 |
|
|
|
|
|
|
|
|
|
OKREŚLENIE KLASY PRZEKROJU BLACHOWNICY: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
fd= |
295,00 |
[MPa] |
|
|
|
|
|
|
|
0,85 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
*klasa przekroju dla œrodnika: |
|
|
|
|
|
|
|
|
b= |
147 |
[cm] |
|
|
|
|
|
|
t= |
1,3 |
[cm] |
|
|
|
|
|
|
b/t= |
113,08 |
>105*e= |
89,64 |
|
|
|
|
|
Środnik znajduje się w klasie 4. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
*klasa przekroju dla pasa: |
|
|
|
|
|
|
|
|
b= |
37 |
[cm] |
|
|
|
|
|
|
t= |
4 |
[cm] |
|
|
|
|
|
|
b/t= |
9,25 |
>14*e= |
11,95 |
|
|
|
|
|
Pas znajduje się w klasie 4. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ca³kowit¹ klasê przekroju blachownicy okreœlono na klasê 4. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
POZYCJA 2.4 |
|
|
|
|
|
|
|
|
|
NOŚNOŚĆ PRZEKROJU: |
|
|
|
|
|
|
|
|
POZYCJA 2.4.1 |
|
|
|
|
|
|
|
|
|
Nośność przekroju na zginanie . |
|
|
|
|
|
|
|
|
Rozpatrujemy przekrój w środku rozpiętości,występuje tam max.moment |
|
|
|
|
|
|
|
|
zginający. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
MR=yp*W*fd |
|
;wspó³czynnik redukcyjny |
|
|
|
|
|
|
|
W |
:wskaŸnik wytrzyma³oœci przekroju |
|
|
|
|
|
|
|
fd |
;wytrzyma³oœc stali 18G2 dla 40=>gr.>16mm |
|
|
|
|
|
|
fd= |
295 |
[MPa] |
|
|
|
|
|
|
Ustalenie wartości współczynnika yp: |
|
|
|
|
|
|
|
|
*dla środnika: |
|
|
|
|
|
|
|
|
K=0.4+0.6*n |
|
0,4 |
|
|
|
|
|
|
b= |
147 |
|
|
|
|
|
|
|
t= |
1,3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0,946 |
|
|
|
|
|
|
|
|
0,834 |
|
|
|
|
|
|
|
*dla pasa: |
|
|
|
|
|
|
|
|
|
1 |
;ze wzglêdu na obetonowanie pasa |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Przyjęto yp= |
0,834 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Obliczenie wskaźnika wytrzymałości: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
I= |
2031791,99 |
[cm4] |
|
|
|
|
|
|
W=I/(b+g)*2= |
26911,15 |
[cm3] |
|
|
|
|
|
|
Nośność przekroju: |
|
|
|
|
|
|
|
|
MR= |
6620,95 |
[kNm] |
|
|
|
|
|
|
współczynnik zwichrzenia |
|
|
|
|
|
|
|
|
|
1 |
;ze wzglêdu na obetonowanie górnego pasa |
|
|
|
|
|
|
MMAX/(fl*MR)= |
0,624 |
<=1 |
|
|
|
|
|
|
Nośność przekroju sprawdzona. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
POZYCJA 2.4.2 |
|
|
|
|
|
|
|
|
|
Noœnoœæ obliczeniowa przekroju na œcinanie: |
|
|
|
|
|
|
|
|
Sprawdzam przy podporze. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
V=Rap=Rbp= |
764,60 |
[kN] |
|
|
|
|
|
|
VR=0,58*ypv*Av*fd |
|
|
|
|
|
|
|
|
Av |
;pole przekroju czynnego przy œcinaniu |
|
|
|
|
|
|
|
Av= |
191,1 |
[cm2] |
|
|
|
|
|
|
|
;wspó³czynnik niestatecznoœci przy œcinaniu |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
;smukłość względna |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
fd= |
295 |
[MPa] |
|
|
|
|
|
|
b= |
147 |
[cm] |
|
|
|
|
|
|
t= |
1,3 |
[cm] |
|
|
|
|
|
|
|
|
b,t |
;szerokoœæ i gruboœæ œcianki |
|
|
|
|
|
K |
;wspó³czynnik podparcia i obci¹¿enia œcianki |
|
|
|
|
|
|
|
|
Zak³adam ¿ebra usztywniaj¹ce co 1.2m. |
|
|
|
|
|
|
|
|
a= |
1,2 |
[m] |
|
|
|
|
|
|
b= |
2,4 |
[m] |
|
|
|
|
|
|
|
0,500 |
<=1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
K= |
0,398 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0,94 |
|
|
|
|
|
|
|
|
1,062 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
VR=0,58*ypv*Av*fd= |
3472,99 |
[kN] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
V/VR= |
0,22 |
<=1 |
|
|
|
|
|
|
warunek nośności spełniony. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
POZYCJA 2.4.3 |
|
|
|
|
|
|
|
|
|
Zakłada się zmianę grubości pasów na długości. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
q= |
70,80 |
[kN/m] |
|
|
|
|
|
|
Ra= |
764,60 |
[kN] |
|
|
|
|
|
|
Mmax p= |
4128,81 |
[kNm] |
|
|
|
|
|
|
*moment osi¹ga 2/3*Mmax: |
|
|
|
|
|
|
|
|
2/3*Mmax p= |
2752,54 |
[kNm] |
|
|
|
|
|
|
na d³ugoœci od podpory: |
|
|
|
|
|
|
|
|
l1= |
4,56 |
[m] |
|
|
|
|
|
|
Pierwsza zmiana grubości pasów na długości 3,5m od podpory. |
|
|
|
|
|
|
|
|
Si³y wewnêtrzne wystêpuj¹ce w przekroju w odleg³oœci l1 od podpory: |
|
|
|
|
|
|
|
|
l1= |
3,5 |
[m] |
|
|
|
|
|
|
T1= |
516,81 |
[kN] |
|
|
|
|
|
|
M1= |
2242,46 |
[kNm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
*moment osi¹ga 5/6*Mmax: |
|
|
|
|
|
|
|
|
5/6*Mmax p= |
3440,68 |
[kNm] |
|
|
|
|
|
|
na d³ugoœci od podpory: |
|
|
|
|
|
|
|
|
l2= |
6,39 |
[m] |
|
|
|
|
|
|
Druga zmiana grubości pasów na długości 6m od podpory. |
|
|
|
|
|
|
|
|
Si³y wewnêtrzne wystêpuj¹ce w przekroju w odleg³oœci l2 od podpory: |
|
|
|
|
|
|
|
|
l2= |
6 |
[m] |
|
|
|
|
|
|
T2= |
339,82 |
[kN] |
|
|
|
|
|
|
M2= |
3313,25 |
[kNm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Określenie nośności przy pierwszej zmianie grubości pasów: |
|
|
|
|
|
|
|
|
|
gp1= |
2 |
[cm] |
;pierwsza gruboœæ pasów |
|
|
|
|
|
fd= |
305 |
[MPa] |
;dla stali 18G2 gr.<16mm |
|
|
|
|
|
Okreœlenie klasy przekroju dla pierwszej gruboœci: |
|
|
|
|
|
|
|
|
|
0,84 |
|
|
|
|
|
|
|
*œrodnik bez zmian: klasa 4 |
|
|
|
|
|
|
|
|
*klasa przekroju dla pasa: |
|
|
|
|
|
|
|
|
b= |
37 |
[cm] |
|
|
|
|
|
|
t= |
2 |
[cm] |
|
|
|
|
|
|
b/t= |
18,50 |
>14*e= |
11,75 |
|
|
|
|
|
Pas znajduje się w klasie 4. |
|
|
|
|
|
|
|
|
Przekrój znajduje się w klasie 4. |
|
|
|
|
|
|
|
|
Noœnoœæ obliczeniowa przekroju zginanego (dla przekroju klasy 4) : |
|
|
|
|
|
|
|
|
MR=y*W*fd |
<=ap*fd*W |
|
|
|
|
|
|
|
|
0,85 |
;zak³adam nie przeœwietlanie spoin |
|
|
|
|
|
|
|
;wspó³czynnik redukcyjny |
|
|
|
|
|
|
|
y= |
0,834 |
|
|
|
|
|
|
|
W |
;wska¿nik wytrzyma³oœci |
|
|
|
|
|
|
|
I1 |
;moment bezw³adnoœci |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
I1= |
1165609,66 |
[cm4] |
|
|
|
|
|
|
W= |
I1/(0,5*b+g1) |
|
|
|
|
|
|
|
W= |
15438,54 |
[cm3] |
|
|
|
|
|
|
Wspó³czynnik ap<y zatem miarodajny jest wzór: |
|
|
|
|
|
|
|
|
MR1=y*W*fd= |
3927,10 |
[kNm] |
|
|
|
|
|
|
Si³y wewnêtrzne wystêpuj¹ce w przekroju: |
|
|
|
|
|
|
|
|
T1= |
516,81 |
[kN] |
|
|
|
|
|
|
M1= |
2242,46 |
[kNm] |
|
|
|
|
|
|
fd= |
305 |
[MPa] |
|
|
|
|
|
|
Nie uwzglêdniam si³y tn¹cej ,poniewa¿ V<0.3*VR. |
|
|
|
|
|
|
|
|
V= |
516,81 |
<0.3*VR= |
1041,90 |
[kN] |
|
|
|
|
M1/MR1= |
0,57 |
<=1 |
|
|
|
|
|
|
|
warunek spe³niony |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Określenie nośności przy drugiej zmianie grubości pasów: |
|
|
|
|
|
|
|
|
|
gp2= |
3,4 |
[cm] |
;pierwsza gruboœæ pasów |
|
|
|
|
|
fd= |
295 |
[MPa] |
;18G2dla gr.>16mm |
|
|
|
|
|
Okreœlenie klasy przekroju dla pierwszej gruboœci: |
|
|
|
|
|
|
|
|
|
0,85 |
|
|
|
|
|
|
|
*œrodnik bez zmian: klasa 4 |
|
|
|
|
|
|
|
|
*klasa przekroju dla pasa: |
|
|
|
|
|
|
|
|
b= |
37 |
[cm] |
|
|
|
|
|
|
t= |
3,4 |
[cm] |
|
|
|
|
|
|
b/t= |
10,88 |
>14*e= |
11,95 |
|
|
|
|
|
Pas znajduje się w klasie 4. |
|
|
|
|
|
|
|
|
Przekrój znajduje się w klasie 4. |
|
|
|
|
|
|
|
|
Noœnoœæ obliczeniowa przekroju zginanego (dla przekroju klasy 4) : |
|
|
|
|
|
|
|
|
MR=y*W*fd |
<=ap*fd*W |
|
|
|
|
|
|
|
|
0,85 |
;zak³adam nie przeœwietlanie spoin |
|
|
|
|
|
|
|
;wspó³czynnik redukcyjny |
|
|
|
|
|
|
|
|
0,834 |
|
|
|
|
|
|
|
W |
;wska¿nik wytrzyma³oœci |
|
|
|
|
|
|
|
I2 |
;moment bezw³adnoœci |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
I2= |
1767173,76 |
[cm4] |
|
|
|
|
|
|
W= |
I2/(0,5*b+g2) |
|
|
|
|
|
|
|
W= |
22980,15 |
[cm3] |
|
|
|
|
|
|
Wspó³czynnik ap<y zatem miarodajny jest wzór: |
|
|
|
|
|
|
|
|
MR2=y*W*fd= |
5653,81 |
[kNm] |
|
|
|
|
|
|
Si³y wewnêtrzne wystêpuj¹ce w przekroju: |
|
|
|
|
|
|
|
|
T2= |
339,82 |
[kN] |
|
|
|
|
|
|
M2= |
3313,25 |
[kNm] |
|
|
|
|
|
|
fd= |
295 |
[MPa] |
|
|
|
|
|
|
Nie uwzglêdniam si³y tn¹cej. |
|
|
|
|
|
|
|
|
V= |
339,82 |
<0.3*VR= |
1041,90 |
[kN] |
|
|
|
|
M2/MR2= |
0,59 |
<=1 |
|
|
|
|
|
|
|
warunek spe³niony |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
POZYCJA 2.5 |
|
|
|
|
|
|
|
|
|
ŻEBRA USZTYWNIAJĄCE POPRZECZNE |
|
|
|
|
|
|
|
|
POZYCJA 2.5.1 |
|
|
|
|
|
|
|
|
|
¯ebro poœrednie: |
|
|
|
|
|
|
|
|
h¿=hœr= |
1470 |
[mm] |
;wysokoœæ ¿ebra |
|
|
|
|
|
b¿=h¿/30+40= |
89,0 |
[mm] |
|
|
|
|
|
|
Przyjêto b¿= |
150 |
[mm] |
;szerokoœæ ¿ebra |
|
|
|
|
|
g¿=>b¿/15= |
10,00 |
[mm] |
|
|
|
|
|
|
Przyjêto g¿= |
10 |
[mm] |
;gruboœæ ¿ebra |
|
|
|
|
|
|
|
|
|
|
|
|
|
Momeny bezw³adnosci przekroju wzglêdem osi w p³aszczyŸnie œrodkowej œrodnika -Js |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
rys. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Js>=k*b*t3=J |
|
|
|
|
|
|
|
|
b=hœr= |
1470 |
[mm] |
|
|
|
|
|
|
t=gœr= |
13 |
[mm] |
|
|
|
|
|
|
k=1.5*(b/a)2>=0.75 |
|
|
|
|
|
|
|
|
a= |
1,2 |
[m] |
;rozstaw ¿eber |
|
|
|
|
|
b=h¿= |
1,47 |
[m] |
;wysokoœæ ¿ebra |
|
|
|
|
|
k= |
2,25 |
|
|
|
|
|
|
|
Przyjêto k= |
2,28 |
|
|
|
|
|
|
|
J= |
736,35 |
[cm4] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Js= |
807,000 |
[cm4] |
|
|
|
|
|
|
|
Js>J |
warunek spe³niony |
|
|
|
|
|
POZYCJA 2.5.2 |
|
|
|
|
|
|
|
|
|
¯ebro podporowe: |
|
|
|
|
|
|
|
|
-jak dla ¿ebra poœredniego: |
|
|
|
|
|
|
|
|
h¿=hœr= |
1470 |
[mm] |
;wysokoœæ ¿ebra |
|
|
|
|
|
b¿= |
150 |
[mm] |
;szerokoœæ ¿ebra |
|
|
|
|
|
g¿= |
10 |
[mm] |
;gruboœæ ¿ebra |
|
|
|
|
*Sprawdzenie klasy ¿ebra: |
|
|
|
|
|
|
|
|
|
bs= |
150,00 |
[mm] |
|
|
|
|
|
|
ts= |
10,00 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
fd= |
305 |
[MPa] |
|
|
|
|
|
|
|
0,84 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
bs/ts= |
15,00 |
>14*e= |
11,75 |
|
|
|
|
Żebro znajduje się w klasie 4. |
|
|
|
|
|
|
|
|
POZYCJA 2.5.2.1 |
|
|
|
|
|
|
|
|
*Sprawdzenie nośności na ściskanie żeber podporowych: |
|
|
|
|
|
|
|
|
Obci¹¿enia wystêpuj¹ce w przekroju s¹ obci¹¿eniami statycznymi , zatem mo¿na |
|
|
|
|
|
|
|
|
uwzgledniæ w obliczeniach czêœæ wspó³pracuj¹c¹ œrodnika oszerokoœci 30hœr. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
rys. |
|
|
|
|
|
warunek noœnosci: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
N=Ra p = Rb p = |
764,60 |
[kN] |
|
|
|
|
|
|
NRC=y*A*fd |
|
|
|
|
|
|
|
|
|
A=gœr*(30*gœr+g¿)+2*g¿*b¿= |
82 |
[cm2] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
305 |
[MPa] |
|
|
|
|
|
|
K=2.2+0.8*n |
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
K= |
3 |
|
|
|
|
|
|
|
b/t=b¿/t¿= |
15,00 |
|
|
|
|
|
|
|
|
0,675 |
=>yp= |
1 |
|
|
|
|
NRC= |
2501 |
[kN] |
|
|
|
|
|
|
Okreœlenie wartoœci wspó³czynnika j: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
le |
;d³ugoœæ wyboczeniowa |
|
|
|
|
|
|
|
ix |
;promieñ bezw³adnoœci |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Jx=Js= |
807,000 |
[cm4] |
|
|
|
|
|
|
A= |
82 |
[cm2] |
|
|
|
|
|
|
ix= |
3,14 |
[cm] |
|
|
|
|
|
|
le=0.8*h¿= |
117,6 |
[cm] |
|
|
|
|
|
|
|
37,487 |
|
|
|
|
|
|
|
Smuk³oœæ porównawcza: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
fd= |
305 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
70,526 |
|
|
|
|
|
|
|
Smuk³oœæ wzglêdna: |
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
0,532 |
|
0,837 |
|
|
|
|
|
warunek noœnoœci: |
|
|
|
|
|
|
|
|
N/(j*NRC)= |
0,365 |
<=1 |
|
|
|
|
|
|
|
warunek spe³niony |
|
|
|
|
|
|
POZYCJA 2.5.2.2 |
|
|
|
|
|
|
|
|
|
Sprawdzenie spoin pionowych pachwinowych. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ra p = Rb p = |
764,60 |
[kN] |
|
|
|
|
|
|
fd= |
305 |
[MPa] |
|
|
|
|
|
|
spoina pionowa aII= |
0,80 |
|
|
|
|
|
|
|
Nsp=aII*4*asp*l*fd |
l=100*asp |
|
|
|
|
|
|
|
|
|
|
|
|
|
asp= |
2,80 |
[mm] |
|
|
|
warunek: |
|
|
|
|
|
0.2*ts= |
2 |
[mm] |
|
|
|
0.7*ts= |
7 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
Przyjêto asp= |
3 |
[mm] |
|
|
|
|
|
POZYCJA 2.5.2.3 |
|
|
|
|
|
|
|
|
|
Po³¹czenie belki walcowanej z podci¹giem: |
|
|
|
|
|
|
|
|
P=Ra= |
82,04 |
[kN] |
;wg.poz.1.3 |
|
|
|
|
|
gz= |
10 |
[mm] |
;wg.poz.2.5.1 |
|
|
|
|
|
g=tw= |
10,8 |
[mm] |
;wg.poz.1.4.1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
rys. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
fd= |
215 |
[MPa] |
|
|
n= |
2 |
|
|
|
|
|
|
|
nv= |
2 |
|
|
|
|
Przyjêto œruby klasy 4.8 : |
|
|
F=P= |
82,04 |
[kN] |
|
|
|
Rm= |
420 |
[MPa] |
|
|
|
|
|
|
Re= |
340 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Si³a przypadajaca na jedn¹ œrubê: |
|
|
|
|
|
|
|
|
S=P/2= |
41,02 |
[kN] |
|
|
|
|
|
|
Przyjêcie œrednicy œruby: |
|
|
|
|
|
|
|
|
*ze wzglêdu na sciêcie: |
|
|
|
|
|
|
|
|
|
|
|
|
|
m=1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
d>= |
16,63 |
[mm] |
|
|
|
|
|
|
*ze wzglêdu na docisk: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
d>= |
7,63 |
[mm] |
|
|
|
|
|
|
*ze wzglêdu na zerwanie trzpienia : |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0.65*Rm*As= |
27,3 |
*As |
|
|
|
|
|
|
0.85*Re*As= |
28,9 |
*As |
|
|
|
|
|
|
S<=27.3*As |
|
|
|
|
|
|
|
|
As= |
1,50 |
[cm2] |
|
|
|
|
|
|
d>= |
13,83 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Przyjęto śruby M-20 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sprawdzenie przekroju os³abionego: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
ANV=(16+4-1.5*2)*1.08= |
18,36 |
[cm2] |
|
|
|
|
|
|
ANT=(4+0.5*2)*1.08= |
5,4 |
[cm2] |
|
|
|
|
|
|
FRj= |
352,94 |
[kN] |
>P=82.04kN |
|
|
|
|
|
Warunek spe³niony. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
POZYCJA 2.6 |
|
|
|
|
|
|
|
|
|
Sprawdzenie ugiêcia podci¹gu: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
q= |
54,67 |
[kN/m] |
;charakterystyczne |
|
|
|
|
|
l= |
21,6 |
[m] |
|
|
|
|
|
|
E= |
205 |
[GPa] |
|
|
|
|
|
|
J= |
1767173,76 |
[cm4] |
|
|
|
|
|
|
fdop= |
6,17 |
[cm] |
|
|
|
|
|
|
f= |
4,71 |
[cm] |
|
|
|
|
POZYCJA 3.0 |
|
|
|
|
|
|
|
|
|
Słup |
|
|
|
|
|
|
|
POZYCJA 3.1 |
|
|
|
|
|
|
|
|
|
Przyjêcie wymiarów: |
|
|
|
|
|
|
|
|
|
WysokoϾ H= |
6,6 |
[m] |
|
|
|
|
|
Okreœlenie d³ugoœci wyboczeniowej: |
|
|
|
|
|
|
|
|
|
lw=j*H= |
6,6 |
[m] |
|
1 |
|
|
|
Przyjêcie przekroju s³upa: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
rys.10 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
R= |
764,60 |
[kN] |
wg.poz.2.2 |
|
|
|
|
|
fd= |
215 |
[MPa] |
|
|
|
|
|
Obliczam smuk³oœæ s³upa: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wstêpnie przyjêto: |
|
|
|
|
|
|
|
|
|
60 |
|
|
|
|
|
|
|
|
84 |
|
|
|
|
|
|
|
|
0,714 |
=> |
|
1 |
|
|
|
|
|
|
|
|
0,735 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
A= |
96,77 |
[cm2] |
|
|
|
|
|
Przyjêto 2 T 260.£¹czne pole przekroju A= |
|
|
|
106,8 |
[cm2] |
|
|
|
Dane: |
|
|
|
|
|
|
|
|
F= |
53,4 |
[cm2] |
h= |
260 |
[mm] |
|
|
|
ix= |
10,4 |
[cm] |
s= |
113 |
[mm] |
|
|
|
Jx= |
5740 |
[cm4] |
g= |
9,4 |
[mm] |
|
|
|
iy= |
2,32 |
[cm] |
t= |
14,1 |
[mm] |
|
|
|
Jy= |
288 |
[cm4] |
r= |
9,4 |
[mm] |
|
|
|
Wx= |
442 |
[cm3] |
|
|
|
|
|
|
Wy= |
51 |
[cm3] |
|
|
|
|
|
|
Okreœlenie klasy przekroju: |
|
|
|
1 |
|
|
|
|
*dla œrodnika: |
|
|
|
|
|
|
|
|
|
b=h-2*(r+t)= |
213 |
[mm] |
|
|
|
|
|
|
t=g= |
9,4 |
[mm] |
|
|
|
|
|
|
b\t= |
22,7 |
<=33*e= |
33 |
|
|
|
|
*dla pasa: |
|
|
|
|
|
|
|
|
|
b=0.5*(s-g)= |
51,8 |
[mm] |
|
|
|
|
|
|
t=t= |
14,1 |
[mm] |
|
|
|
|
|
|
b\t= |
3,7 |
<=14*e= |
14 |
|
|
|
|
Klasę przekroju określono jako 3. |
|
|
|
|
|
|
|
POZYCJA 3.2.1 |
|
|
|
|
|
|
|
|
|
Określenie nośnosci: |
|
|
|
|
|
|
|
|
Nośność określam względem osi X-X: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
|
;dla przekroju klasy 3 |
|
|
|
|
|
fd= |
215 |
[MPa] |
;dla stali ST3Sx |
|
|
|
|
|
|
|
|
|
|
|
|
|
NRC=y*Ac*fd= |
2296,2 |
[kN] |
|
|
|
|
|
Określam współczynnik j zależny od smukłości względnej: |
|
|
|
|
|
|
|
|
|
|
63,46 |
|
|
|
|
|
84 |
|
|
|
|
|
|
|
|
|
|
|
0,755 |
=>j= |
0,713 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
warunek noœnoœci: |
|
|
|
|
|
|
|
|
|
N/(j*NRC)= |
0,93 |
<=1 |
|
|
|
|
|
|
warunek noœnoœci spe³niony |
|
|
|
|
|
|
POZYCJA 3.2.2 |
|
|
|
|
|
|
|
|
|
Sprawdzenie nosnoœci pojedyñczej ga³êzi s³upa pomiêdzy przewi¹zkami: |
|
|
|
|
|
|
|
|
Okreœlenie rostawu przewi¹zek: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
n |
l1 |
|
0.8*lx |
|
|
|
2 |
200 |
86,21 |
50,77 |
|
|
|
4 |
120 |
51,72 |
50,77 |
|
|
|
6 |
85,71 |
36,95 |
50,77 |
|
|
|
n;liczba przewi¹zek |
|
|
|
|
|
|
|
63,46 |
|
|
|
|
|
iy= |
2,32 |
[cm] |
|
|
|
|
|
|
Przyjêto 6 przewi¹zek. |
|
|
|
|
|
|
|
|
smuk³oœæ wzglêdna: |
|
|
|
|
|
|
|
|
|
|
0,440 |
=> j1= |
0,896 |
|
0,713 |
|
|
|
|
|
|
warunek spe³niony |
|
|
|
POZYCJA 3.2.3 |
|
|
|
|
|
|
|
|
|
Okreœlenie noœnoœci s³upa wzglêdem osi Y-Y; |
|
|
|
|
|
|
|
|
Okreœlenie rozstawu dwuteowników: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
rys.11 |
|
|
|
|
|
|
|
|
|
|
|
|
|
Jyc=1.1*Jxc |
|
|
|
|
|
|
|
|
Jxc=2*Jx= |
11480 |
[cm4] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Jyc= |
12628 |
[cm4] |
|
|
|
|
|
|
e= |
21,25 |
[cm] |
s= |
11,3 |
[cm] |
|
|
|
|
|
|
Przyjêto odleg³oœæ miedzy dwuteownikami e= |
28,3 |
[cm] |
|
|
|
czyli: |
Jyc= |
21959,8 |
[cm4] |
|
|
|
|
|
|
iy= |
14,34 |
[cm] |
|
|
|
|
|
|
|
46,027 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Smuk³oœæ zastêpcza elementu wieloga³êŸowego: |
|
|
|
|
|
|
|
|
|
|
|
|
|
46,027 |
|
|
|
|
|
|
|
m= |
2 |
|
|
|
|
|
|
|
|
36,946 |
|
|
|
|
|
|
|
|
59,021 |
|
|
|
|
|
|
|
|
84 |
|
|
|
|
|
|
|
|
0,703 |
=> j= |
0,744 |
|
|
|
|
|
|
0,440 |
=> y=j= |
0,896 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
warunek nosnosci; |
|
|
|
|
|
|
|
|
n= |
0,999 |
<=1 |
|
|
|
|
|
|
warunek spe³niony |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
POZYCJA 3.3.1 |
|
|
|
|
|
|
|
|
Obliczenie przewi¹zek: |
|
|
|
|
|
|
|
|
Przyjêto przewi¹zki czo³owe(dane projektowe) o gruboœci identycznej jak stopki dwuteowników. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
rys.12 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
wymiary: |
|
|
|
|
|
|
|
|
gp= |
14,1 |
[mm] |
|
|
|
|
|
|
bp= |
170 |
[mm] |
|
|
|
|
|
|
hp= |
200 |
[mm] |
|
|
|
|
Klasa przewi¹zek: |
|
|
|
|
|
|
|
|
|
fd= |
215 |
[MPa] |
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
bp/gp= |
14,18 |
|
15 |
|
|
|
|
|
bp/gp= |
14,18 |
|
105 |
|
|
|
|
Przyjêto 3 klasê przewi¹zki. |
|
|
|
|
|
|
|
|
*zastêpcza si³a poprzeczna : |
|
|
|
|
|
|
|
|
|
|
Q=0.012*A*fd |
|
|
|
|
|
|
|
|
A= |
106,8 |
[cm2] |
|
|
|
|
|
|
Q= |
27,55 |
[kN] |
|
|
|
|
*si³a dzia³aj¹ca na przewi¹zkê: |
|
|
|
|
|
|
|
|
|
n= |
2 |
|
|
|
m= |
2 |
|
|
|
a=e= |
28,3 |
[cm] |
|
|
l1= |
85,71 |
[cm] |
|
|
|
|
Vp= |
41,73 |
[kN] |
|
|
|
|
|
|
|
|
|
|
|
|
|
*moment dzia³aj¹cy na przewi¹zkê: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Mp= |
5,90 |
[kN/m] |
|
|
|
|
*okreœlenie wp³ywu scinania: |
|
|
|
|
|
|
|
|
|
VR=0.58*jpv*Av*fd |
|
|
|
|
|
|
|
|
|
Av=0.9*gp*hp= |
25,38 |
[cm2] |
|
|
|
|
|
smuk³oœæ wzglêdna: |
|
|
|
|
|
|
|
|
|
fd= |
215 |
[MPa] |
|
|
|
b=hp= |
200 |
[mm] |
|
|
|
t=gp= |
14,1 |
[mm] |
|
|
|
a=bp= |
170 |
[mm] |
|
|
|
|
0,850 |
|
|
|
|
Kv= |
0,592 |
|
|
|
|
|
0,150 |
|
|
|
|
|
6,663 |
|
|
|
|
|
|
|
Przyjęto jpv= |
1 |
|
|
|
|
|
VR= |
316,49 |
[kN] |
|
|
|
|
|
|
0.3*VR= |
94,95 |
[kN] |
> Vp= |
41,73 |
[kN] |
|
|
Nie uwzglêdniam si³y tn¹cej. |
|
|
|
|
|
|
|
|
Warunek noœnoœci: |
|
|
|
|
|
|
|
|
|
Mp= |
5,90 |
[kN/m] |
|
|
|
|
1 |
|
|
|
|
MRC= |
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
W=gp*hp2/6= |
94,00 |
[cm3] |
|
|
|
|
|
|
MRC= |
18,80 |
[kN/m] |
|
|
|
|
Mp/(jL*MRC)= |
0,31 |
<=1 |
|
|
|
|
|
warunek noœnoœci spe³niony |
|
|
|
|
|
|
|
POZYCJA 3.3.2 |
|
|
|
|
|
|
|
|
Sprawdzenie po³¹czenia przewi¹zek z ga³êŸami s³upa: |
|
|
|
|
|
|
|
|
Zgodnie z za³o¿eniem projektowym przewi¹zki ze s³upem po³¹czone s¹ przy pomocy spoin |
|
|
|
|
|
|
|
|
czo³owych. |
|
|
|
|
|
|
|
|
|
Przyjêto as= |
14 |
[mm] |
ls= |
200 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
rys.13 |
|
|
|
Sprowadzenie si³ do œrodka ciê¿koœci spoiny: |
|
|
|
|
|
|
|
|
|
Vs=Vp= |
41,73 |
[kN] |
|
|
|
|
|
|
Ms=Vp*0.5*bp= |
3,55 |
[kN/m] |
|
|
|
|
|
Sprawdzenie noœnoœci po³¹czenia (spoiny czo³owe): |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ms= |
3,55 |
[kN/m] |
|
|
W=as*ls2/6= |
93,33 |
[cm3] |
|
|
|
38,00 |
[MPa] |
|
|
Vs= |
41,73 |
[kN] |
|
|
A= |
28 |
[cm2] |
|
|
|
14,90 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
Na podstawie tablicy 18 przyjêto: |
|
|
|
|
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
|
0,6 |
|
|
|
|
|
|
sprawdzenie warunku: |
|
r= |
45,40 |
[MPa] |
<=fd |
|
|
|
|
|
warunek spe³niony |
|
|
|
|
|
|
POZYCJA 3.4 |
|
|
|
|
|
|
|
|
Głowica słupa: |
|
|
|
|
|
|
|
|
Przyjêcie wymiarow: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
rys.14 |
|
|
|
|
|
|
przyjêto gruboœc blachy g= |
12 |
[mm] |
|
|
|
|
|
R= |
764,60 |
[kN] |
|
|
fd= |
215 |
[MPa] |
|
|
|
0,8 |
|
|
|
a= |
12 |
[mm] |
|
|
l= |
396 |
[mm] |
|
|
|
|
160,90 |
[MPa] |
<=aL*fd= |
172 |
[MPa] |
|
|
|
warunek spe³niony |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
POZYCJA 3.5 |
|
|
|
|
|
|
|
|
Podstawa słupa: |
|
|
|
|
|
|
|
|
POZYCJA 3.5.1 |
|
|
|
|
|
|
|
|
Przyjêcie wymiarow: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
rys.15 |
|
|
|
|
Przyjêto: |
B= |
420 |
[mm] |
|
|
|
|
G=2*0,419*H= |
5,53 |
[kN] |
|
|
|
R= |
764,60 |
[kN] |
|
|
|
N=2*R+G= |
1534,72 |
[kN] |
|
|
|
|
4,50 |
[MPa] |
|
|
|
A>= |
812,02 |
[mm] |
|
|
|
Przyjêto A= |
820 |
[mm] |
|
|
Sprawdzenie warunku: |
|
|
|
|
|
|
|
|
|
|
A/B= |
1,95238095238095 |
<=2 |
warunek spe³niony |
|
|
|
Obliczenie rzeczywistych naprê¿eñ: |
|
|
|
|
|
|
|
|
|
|
4,46 |
[MPa] |
|
4,50 |
[MPa] |
|
|
Podzia³ blachy na umowne obszary: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
a1= |
283 |
[mm] |
|
|
|
|
|
|
b1= |
260 |
[mm] |
|
|
|
|
|
|
b2= |
268 |
[mm] |
|
|
|
|
|
|
a2= |
260 |
[mm] |
|
|
|
|
|
|
a3= |
70 |
[mm] |
|
|
|
|
|
rys.16 |
|
|
|
|
p=srzecz= |
4,46 |
[MPa] |
|
|
|
|
|
P³yta pierwsza(oparta na czterech krawêdziach): |
|
|
|
|
|
|
|
|
|
a1/b1= |
1,09 |
=> a= |
0,055 |
|
|
|
|
|
M1=a*p*a12= |
19,63 |
[kN] |
|
|
|
|
|
P³yta druga(oparta na trzech krawêdziach): |
|
|
|
|
|
|
|
|
|
b2/a2= |
1,03 |
=> a= |
0,112 |
|
|
|
|
|
M2=a*p*a22= |
33,74 |
[kN] |
|
|
|
|
|
P³yta trzecia(wspornik): |
|
|
|
|
|
|
|
|
|
M3=0.5*p*a32= |
10,92 |
[kN] |
|
|
|
|
|
|
Mmax=M2= |
33,74 |
[kN] |
|
|
|
|
|
Przyjêcie gruboœci blachy podstawy: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
M=M2= |
33,74 |
[kNm] |
|
|
fd= |
205 |
[MPa] |
|
|
g>= |
31,42 |
[mm] |
|
|
Przyjêto g= |
32 |
[mm] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
POZYCJA 3.5.2 |
|
|
|
|
|
|
|
|
Blacha trapezowa; |
|
|
|
|
|
|
|
|
|
|
Przyjęto blachę trapezową g= |
10 |
[mm] |
|
|
|
|
POZYCJA 3.5.2.1 |
|
|
|
|
|
|
|
|
Połączenie blachy trapezowej ze słupem: |
|
|
|
|
|
|
|
|
Przyjêto 4 spoiny zewnêtrzne i spoiny wewnêtrzne:ze wzglêdu na trudnoœci wykonania spoin |
|
|
|
|
|
|
|
|
wewnêtrznych przyjêto 50% ich noœnoœci.Zatem do obliczeñ przyjmujê 6 spoin. |
|
|
|
|
|
|
|
|
|
|
g1= |
14,1 |
[mm] |
|
|
|
|
|
|
g2= |
10 |
[mm] |
|
|
|
|
warunek spawalności: |
|
0.2*g1= |
2,82 |
<=a<= |
0.7*g2= |
7 |
[mm] |
|
|
|
Przyjêto gruboœæ spoiny a= |
4 |
[mm] |
|
|
|
|
|
fd= |
215 |
[MPa] |
|
|
|
0,8 |
|
|
|
F=N= |
1534,72 |
[kN] |
|
|
l>= |
371,78 |
[mm] |
|
|
Przyjêto l= |
400 |
[mm] |
|
|
|
|
|
|
|
POZYCJA 3.5.2.1 |
|
|
|
|
|
|
|
|
Połączenie blachy trapezowej z podstawą słupa: |
|
|
|
|
|
|
|
|
|
|
g1= |
32 |
[mm] |
|
|
|
|
|
|
g2= |
10 |
[mm] |
|
|
|
|
warunek spawalności: |
|
0.2*g1= |
6,4 |
<=a<= |
0.7*g2= |
7 |
[mm] |
|
|
|
Przyjêto gruboœæ spoiny a= |
7 |
[mm] |
|
|
|
|
Warunek nośności dla spoin: |
|
|
|
|
|
|
|
|
|
|
0,7 |
|
|
l= |
304 |
[cm] |
|
P=N= |
1534,72 |
[kN] |
|
|
72,10 |
[MPa] |
|
|
50,98 |
[MPa] |
|
|
50,98 |
[MPa] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Naprê¿enia rozwarstwiaj¹ce: |
|
|
|
|
|
|
|
|
|
|
|
B= |
42 |
[cm] |
|
|
|
|
|
|
b2= |
26,8 |
[cm] |
|
|
|
|
|
|
|
4,46 |
[MPa] |
|
|
|
|
|
|
Q= |
501,59 |
[kN] |
|
|
|
|
|
|
|
|
|
|
|
|
Obliczenie œrodka ciê¿koœci przekroju: |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
rys.17 |
|
|
|
|
Pole przekroju:A= |
214,4 |
[cm2] |
|
|
|
|
|
|
Moment stat.S= |
2071,04 |
[cm3] |
|
|
|
|
|
|
Œrodek ciê¿k. xc= |
9,66 |
[cm] |
|
|
|
|
|
|
Moment statyczny blach podstawy wzglêdem X-X S= |
|
|
|
|
1083,22 |
[cm3] |
|
|
Moment bezw³adnoœci przekroju: |
|
|
|
J= |
34201,93 |
[cm4] |
|
|
|
|
108,48 |
[MPa] |
|
|
|
|
Warunek nośności dla spoin: |
|
|
|
|
|
|
|
|
|
r= |
149,64 |
[MPa] |
< fd= |
215 |
[MPa] |
|
|
|
warunek spełniony |
|
|
|
|
|
|
|
Sprawdzenie na zginanie: |
|
|
|
|
|
|
|
|
|
|
67,21 |
[kNm] |
|
|
|
|
|
|
W=Jxx/e= |
1019,73 |
[cm3] |
|
|
|
|
|
|
MR=W*fd= |
219,24 |
[kNm] |
|
|
|
|
|
Warunek noœnoœci: |
|
|
|
|
|
|
|
|
|
M/MR= |
0,307 |
<1 |
|
|
|
|
|
|
warunek spełniony |
|
|
|
|
|
|
|