I II III IV V
N/m 2 640 980 50 200 290 440 2m 50 4m 100 100 150 200 290 390 590 150 340 4m 6m 8m 100 170 250
µ = E FRVβ β
N/mm 2 N/mm 2 1.1 F c t.1 3 1 1.1 1.1 2 2 2 2 F F b F s F c F t F b F s 3 3 3 3 3 3 3 F c F t F b F s N/mm 2 56 N/mm 2 N/mm 2 1.1 F c t.1 3 1 1.1 1.1 2 2 2 2 F F b F s F c F t F b F s 3 3 3 3 3 3 3 F c F t F b F s N/mm 2 79
3 = :GH Z = :G δ / 3/ 3/ δ / = N ' = N' (, ( EK / / δ / Z/ Z/ δ = N = / ' N ' (, ( EK / / ( = ( ( / σ σ PD[ 0 = = PD[ = N 0 3/ EK = N 0 3/ EK PD[
σ σ PD[ 0 = = PD[ = N 0 Z/ EK = N 0 Z/ EK PD[ 3/ I /E N0 EK Z/ I /E N0 EK τ PD[ 4 τ PD[ = = N 4 3 = N 4 $ EK 3 EK τ PD[ τ 4 = = N $ EK Z/ = N PD[ 4 4 Z/ EK I I N /V 4 N /V 4 3 EK Z/ EK
k D k k M Q 2.73m 3.64m 4.55m 5.46m 3/ 4P a 2a 6 / 729 a P 2 2a 4 1 / 6 1 / 2 a 1 / 48 1 / 4 1 / 2 3/ 4P 3/ 4P 2a a / 512 3/ 4P P a 2 2a a 11 3 / 16 3 / 4 a 137 / 4800 11 / 40 1 P P a 23 / 648 1 / 3 1 2 2a 2a 3/ 4P P 3/ 4P 2a 2a a / 864 31 3 / 8 5 / 4 6.37m 3/ 4P P P a 2a 2a 2a 2809 / 65856 23 / 56 3 / 2 7.28m 8.19m P P P a 19 / 384 1 / 2 3 / 2 2 2a 2a 2a 3/ 4P P P 3/ 4P a 203 / 4096 15 / 32 7 / 4 2a 2a 2a a 3/ 4P P P P a 2627 / 46656 13 / 24 2 2a 2a 2a 2a 9.10m 2.73m a P P P 2a 2a 2a 2a 2a 3/ 4P P a a a P P P 2a 2a 2a 2a P w P 3/ 4P a 63 /1000 3 / 5 2 757 /12000 5 / 8 9 / 4 5 / 384 1 / 8 1 / 2 23 / 648 1 / 3 1 P P P 3.64m a a a a 19 /384 1 / 2 3 / 2 4.55m P P P P a a a a a 63 /1000 3 / 5 2 5.46m a P P P P P a a a a a 11 /144 3 / 4 5 / 2 6.37m P P P P P P a a a a a a a 123 /1372 6 / 7 3 P P P P P P P 7.28m a a a a a a a a 79 / 768 1 7 / 2 N ' N 0
3 = :GH δ = N / ' K N' 3/ ( EK / / 3/ ( E / 3/ I /E N0 I/V N4 EK 3 EK K N 0 3/ I E K N /E 4 3 I E /V Z = :G
δ = N / ' K N' Z/ ( EK / / Z/ ( E / Z/ I /E N 0 EK I N /V 4 Z/ EK K N 0 Z/ I E /E K N 4 Z/ I E /V 3 = :GH δ = N / ' K > N' 3/ ( EK / / 3/ ( E / 3/ I /E N0 I EK N /V 4 3 EK K N 0 3/ I E /E K N 4 3 I E /V
P : : : : 3 = :GH Z = :G 3 = :GH K N' 3/ ( E / K N' Z/ ( E / K N' 3/ ( E / K N 0 3/ I E /E K N 0 Z/ I E /E K N 0 3/ I E /E K N 4 3 I E /V Z/ K N4 I E /V 3 K N4 I E /V
K N' 3/ ( E K K / = =
K N 0 3/ I E /E K = K = K N 4 3 I E /V
K = K = PP PP PP PP PP PP PP PP
aa
a a a a a a a a a a a a
a 3/ 4P 2a a a 3/ 3/ 3 0 = δ = 4 = (,
P 2a 2a a a 3/ 3/ 3 0 = δ = 4 = (,
a 3/ 4P 3/ 4P 2a a a a 3/ 0 = 3/ δ = (, 4 = 3
3/ 4P P a 2a 2a a a 3/ 0 = 3/ δ = 4 = 3 (,
P P 2a 2a 2a a a 3/ 0 = 3/ δ = 4 = 3 (,
a 3/ 4P P 3/ 4P 2a 2a a a a 3/ 0 = 3/ δ = (, 4 = 3
3/ 4P P P a 2a 2a 2a a a 3/ 0 = 3/ δ = (, 4 = 3
P P P 2a 2a 2a 2a a a 3/ 3/ 0 = δ = (, 4 = 3
a 3/ 4P P P 3/ 4P 2a 2a 2a a a a 3/ 0 = 3/ δ = (, 4 = 3
3/ 4P P P P a a 2a 2a 2a 2a 3/ 0 = 3/ δ = (, a 4 = 3
P P P P 2a 2a 2a 2a 2a a a 3/ 0 = 3/ δ = 4 = 3 (, a 3/ 4P P P P 2a 2a 2a 2a 3/ 4P a a a 3/ 0 = 3/ δ = (, 4 = 3
w Z/ 4 (, Z/ Z/ 0 = = = δ
w Z/ 4 (, Z/ Z/ 0 = = = δ
w Z/ 4 (, Z/ Z/ 0 = = = δ
w Z/ 4 (, Z/ Z/ 0 = = = δ
w Z/ 4 (, Z/ Z/ 0 = = = δ
w Z/ 4 (, Z/ Z/ 0 = = = δ
w Z/ 4 (, Z/ Z/ 0 = = = δ
w Z/ 4 (, Z/ Z/ 0 = = = δ
w Z/ 4 (, Z/ Z/ 0 = = = δ
w Z/ 4 (, Z/ Z/ 0 = = = δ
w Z/ 4 (, Z/ Z/ 0 = = = δ
w Z/ Z/ Z/ 0 = δ = 4 = (,
w Z/ 4 (, Z/ Z/ 0 = = = δ
w Z/ 4 (, Z/ Z/ 0 = = = δ
w Z/ 4 (, Z/ Z/ 0 = = = δ
w Z/ 4 (, Z/ Z/ 0 = = = δ
w Z/ 4 (, Z/ Z/ 0 = = = δ
w Z/ Z/ Z/ 0 = δ = 4 = (,
a a a P P 3 4 (, 3/ 3/ 0 = = = δ a a
a a a a P P P 3 4 (, 3/ 3/ 0 = = = δ a a
a a a a a P P P P 3 4 (, 3/ 3/ 0 = = = δ a a
a a a a a a P P P P P 3 4 (, 3/ 3/ 0 = = = δ a a
P P P P P P a a a a a a a a a 3/ 0 = 3/ δ = 4 = 3 (,
a P P P P P P P a a a a a a a a a 3/ 0 = 3/ δ = (, 4 = 3
a a a P P 3 4 (, 3/ 3/ 0 = = = δ a a
a a a a P P P 3 4 (, 3/ 3/ 0 = = = δ a a
P P P P a a a a a a a 3/ 0 = 3/ δ = 4 = 3 (,
a P P P P P a a a a a a a 3/ 0 = 3/ δ = (, 4 = 3
P P P P P P a a a a a a a a a 3/ 0 = 3/ δ = 4 = 3 (,
a P P P P P P P a a a a a a a a a 3/ 0 = 3/ δ = (, 4 = 3
a a a P P 3 4 (, 3/ 3/ 0 = = = δ a a
a a a a P P P 3 4 (, 3/ 3/ 0 = = = δ a a
P P P P a a a a a a a 3/ 0 = 3/ δ = 4 = 3 (,
a P P P P P a a a a a a a 3/ 0 = 3/ δ = (, 4 = 3
P P P P P P a a a a a a a a a 3/ 0 = 3/ δ = 4 = 3 (,
a P P P P P P P a a a a a a a a a 3/ 0 = 3/ δ = (, 4 = 3