1.500 m X Y 0.200 m 0.200 m 0.200 m 0.200 m 0.200 m 0.000 m m 1.100 m m m 0.150 m 0.150 m 2 24.5 N/ 3 18.0 N/ 3 30.0 0.60 ( ) qa 88.11 N/ 2 0.0 N/ 2 20.000 20.000 15.000 15.000 X(m) Y(m) (kn/m 2 ) 1.000 0.000 5.000 4.000 2.000 10.000 2.000 10.000

kn N/m y P = m xp = m b p = m σ ck = 21 N/mm 2 σ ca = 7 N/mm 2 τ ca = 0.7 N/mm 2 σ sa = 180 N/mm 2 τ a 2.1 N/mm 2 X P P y p 0.26 N/mm 2 t(mm) U(mm) 13 250 60 507 160 13 250 60 507 160 250 60 0 0 13 250 60 507 160 No X Y Xn+1 - Xn-1 1 0.000 0.000-1.300 0.000 2 0.000 0.200 0.000 0.000 3 0.000 0.200 0.000 0.000 4 0.000 0.000 0.000 0.000 5 0.000 1.700 0.200 0.340 6 0.200 1.700 0.200 0.340 7 0.200 0.350 0.150 0.053 8 0.350 0.200 1.100 0.220 9 1.300 0.200 0.950 0.190 10 1.300 0.000-1.300 0.000 1.143 1.143 /2 0.572 m2 γc 0.572 24.50 14.014 kn, ) Σ i ( i 2/3 i)} i Σ i ( i 1/3 i)} i i

(kn) (m) (knm) 0.000 0.000 0.000 13.996 0.353 4.940 29.558 0.754 22.286 1 5.000 0.700 3.500 48.553 30.726 δ= 20.000 () 29.874 j= 0.000 () α= 44 () 77.128 kn 9.315 kn a 21.027 kn KA=2 Pa/(γs h 2 ) = 0.749 KH=Ka cos(δ ) = 0.704 KV=Ka sin(δ ) = 0.256

PH=1/2 h^2 γs KH 19.775 0.589 My=PH Y 11.647 PV=1/2 h^2 γs KV 7.191 1.300 Mx=PV X 9.348 QwH=Qw h KH 0.000 0.883 My=QwH Y 0.000 QwV=Qw h KV 0.000 0.000 Mx=QwV X 0.000 1.767 m Σ 55.744 kn Σ 19.775 kn M 28.427 kn e/2 / 1.300 28.427 2 55.744 0.000 0.140 m 0.217 m Nµ+CB 55.744 0.60 0.000 Fs 1.691 1.5 H 19.775 d B/2 e 0.51 m 1.300 m q 1 70.587 kn/m 2 q 2 15.173 kn/m 2 qa 88.11 kn/m2 ----

Df1= 0.600 m γ1= 18.00 kn/m 3 Df2= 0.200 m γ2= 18.00 kn/m 3 700.0 kn/m 2 φ= 35.0 c= 0.0 kn/m 2 B= 1.300 m L= 1.000 m V= 55.74 kn HB= 19.78 kn e= 0.140 m Q = / Ae ( α K C Nc c + K q Nq q + 1/2 γ 2 β Be Nr r ) = 1/3 1.02 (1 1.059 0 19.01 11.059 14.4 14.31 0.886 1/2 18 1 1.02 7.22 0.993) = 88 kn/m 2 a : a= 3 C : kn/m2 q : (kn/m2) q γ1 Df1 γ2 Df2 14.400 (kn/m2) Ae : (m2) Ae Be L 1.020 (m2) Be : (m) Be B - 2 eb 1.020 (m) α,β : α= 1.00 β= 1.00 K : K = 1 + 0.3 * Df'/ Be 1.059 Nc,Nq,Nr : tanθ = B/ 0.355 Nc = 19.01 Nq = 14.31 Nr = 7.22 λ µ-1/3 c ') λ 1.000 ' 0 10 0.000 q ') 0.886 ' 0 10 1.440 γ ') µ 0.993 ' B B0 B 1 1.020

20.000 0.0000 39 50.670 kn 8.221 kn = 9.385 0.463 0.435 0.158 P= 0.000 kn y P = 1.500 m ( ) b p = 0.000 m 1m P u = 0.000 kn/m 6.851 knm/m 12.071 kn/m 6.257 kn 2.393 knm/m 6.090 kn/m

( D13@250 B2 = 200 mm b = 1000 mm i = 60 mm d = 140 mm A s = 507 mm 2 U = 160 mm b σ c x/3 x=kd M C h A s d z=jd T=σ s A s E A S S n = = 15 np = n = Ec b d 0.05432 k = 2 k ( np) + 2np np = 0.280 j = 1 = 3 0.907 M= 6.85E+06 Nmm S= 1.21E+04 N 2.8 N/mm 2 7.0 N/mm 2 106.4 N/mm 2 σsa= 180.0 N/mm 2 0.086 N/mm 2 τca= 0.70 N/mm 2 0.594 τca= 2.10 d = 140 mm D13@250 M= 2.39E+06 Nmm A s = 507 mm 2 S= 6.09E+03 N U = 160 mm K = 0.28 j = 0.907 1.0 N/mm 2 7.0 N/mm 2 37.2 N/mm 2 σsa= 180.0 N/mm 2 0.044 N/mm 2 τca= 0.70 N/mm 2 0.300 N/mm τa= 2.10

lh2/2 l 0.100m B6l 1.000m q q q q 1 = 70.59 kn/m 2 q 2 = 15.17 kn/m 2 q 3 = 62.06 kn/m 2 q 4 = 57.80 kn/m 2 Q v1 = 42.48 kn/m 0.439 m Q v2 = 36.49 kn/m l 0.200 Ee=2Pv/L Ex=Ee/B6l Ev=1/2(Ex+Ee)(B6-l) 0 0 0 13.0745455 1.189 7.132 kn N kn 5.39 0.55 2.96 4.90 0.28 0.050 0.01 0.03 29.56 0.554 16.37 27.11 5.00 0.500 2.50 4.50 0.00 0.00 0.00 0.00 0.733 0.00 0.00 7.19 0.733 5.27 7.13-42.48 0.439-18.64-36.49 4.94 8.49 7.18 M w = 6.85 knm/m

D13@250 T = 200 200 mm b = 1000 1000 mm i = 60 60 mm d = 140 140 mm A s = 507 507 mm 2 U = 160 160 mm E S n = = 15 Ec AS np = n = 0.05432 b d 2 ( ) = k = np + 2np np 0.280 k j = 1 3 = 0.907 M= 6.85E+06 Nmm S= 7.18E+03 N 2.8 N/mm 2 7.0 N/mm 2 106.4 N/mm 2 σsa= 180.0 N/mm 2 d = 140 mm 0.051 N/mm 2 τca= 0.70 N/mm 2 0.354 N/mm τca= 2.10

0.140 0.217 70.59 88.1 1.69 1.50 1.80 1.5 7.00 0.26 180.00 0.70 2.10 2.76 106.45 0.09 0.59 0.96 37.16 0.04 0.30 #DIV/0! 0.00 #DIV/0! 0.00 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 2.76 106.45 0.05 0.35 0.00 #DIV/0! 0.00 #DIV/0! 0.00 #DIV/0! #DIV/0! -0.096 0.433 26.92 53.8 0.91 1.2 NO 1.04 1.2 NO 10.50 0.39 270.00 1.05 3.15 1.85 71.42 0.07 0.45 0.50 19.43 0.03 0.18 #DIV/0! 0.00 #DIV/0! 0.00 #DIV/0! #DIV/0! #DIV/0! #DIV/0! -3.30-127.29-0.10-0.69 0.00 #DIV/0! 0.00 #DIV/0! 0.00 #DIV/0! #DIV/0!