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4.0 wymiarowanie poprzecznicy |
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4.1 Wartości momentów, sił tnących i reakcji |
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schemat statyczny |
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Pk=150 kN |
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qk= 6,50 kN/m |
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qc=226,94/2,1=108,07kN/m |
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Wartości momentów, sił tnących i reakcji |
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Mmax=2001,8 KN/m |
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Tmax=724,90 kN |
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Ra=Rb=724,90 kN |
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4,2 Naprężenia normalne |
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σ = M/Wx < 1,05 R |
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2001,8/(1,05*290) < Wx |
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0,006574 m3 < Wx |
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0,006574 m3 < Wx=0,00734 m3 |
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Przyjęto HEB 700 |
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Wx=0,00734 m3 |
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ANALIZA PRZEKROJU |
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Powierzchnia |
A |
= |
306.3778 cm2 |
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Materiał bazowy |
STAL |
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E |
= |
205000.00 MPa |
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Momenty bezwładności |
Iy |
= |
256888.4283 cm4 |
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Iz |
= |
14440.8560 cm4 |
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Ekstremalne odległości |
Vy |
= |
0.1500 m |
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Vpy |
= |
0.1500 m |
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Vz |
= |
0.3500 m |
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Vpz |
= |
0.3500 m |
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Wskaznik na zginanie |
Wx=Iy/Vz |
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Wx=0.002569m4/0.35m3 |
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Wx=0,00734 m3 |
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Wartości naprężeń |
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Naprężenia ścinające Tz |
69,046 kPa |
< |
175 kPa = Rt |
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Naprężenia zginające My |
272,74 MPa |
< |
290 Mpa = R |
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Sprawdzenie |
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σ = M/Wx < 1,05 R |
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σ =2001,8/0,00734 |
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σ = 272,72 Mpa < 1,05 * 290 = 304,5 Mpa |
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4,3 Naprężenia styczne |
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= TS/Ixg < Rt |
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Środnik półka
h=0,636m g=0,017m tf=0,032m b=0,30m vg=0,35m
Ix = 0,017*0,6363/12
Ix = 3,644*10-4 m
S=b*tf*vg-0,5* tf
S= 0,3*0,032*(0,35-0,032*0,5)
S=1,824*10-3 m3
=724,90*1,824*10-3/(3,644*10-4*0,017)
=113,44 MPa < 170 MPa warunek spełniony
Sprawdzenie naprężeń w miejscu połączenia pasa górnego z poprzecznicy
Naprężenia w spoinach pachwinowych
w spoinach ścinanych siłą T
T = 724,90 kN
= T/aL < s*R a=7 mm l= 650mm
sp=0,8*0,9=0,72 sp - spoina pachwinowa na montażu
sp*R = 0,72*195*0,8=112,32 MPa s=0,8
= 724,90/(2*0,007*0,65)
= 79,66 MPa < sp*R=112,32 Mpa
warunek jest spełniony z zapasem !
Q < sp*R
Q = T/(a*L') L'=2*L
724,90/(0,007*2*0,65) = 79,66 Mpa
= 79,66 MPa < sp*R=112,32 Mpa
warunek jest spełniony z zapasem !