20 3
Copyright (2007) by P.W.R.I. All rights reserved. No part of this book may be reproduced by any means, nor transmitted, nor translated into a machine language without the written permission of the Chief Executive of P.W.R.I.
* 19 3 2 2 *
1 ----------------------------------------------------------------------------------------------------------- 1 2 ------------------------------------------------- 4 2.1 ------------------------------------------------------------ 4 2.2 1 -------------------------------------------------------------- 6 2.3 --------------------------------------------------------------------------- 8 2.4 ------------------------------------------------------------------------------------- 12 2.5 ------------------------------------------------------------------------- 17 2.6 ---------------------------------------------- 20 2.7 ---------------------------------------------------------------------- 24 2.8 ------------------------------------------------------------------------------- 29 2.9 ---------------------------------------------------------------------------------------------- 34 3 ----------------------------------------------- 35 3.1 ---------------------------------------------------------------------------------- 35 3.2 ---------------------------------------------------------------------- 37 3.2.1 ---------------------------------------------------------------------------------------- 37 (1) --------------------------------------------------------------------------------------------------------- 37 (2) --------------------------------------------------------------------------------------------------------- 45 (3) --------------------------------------------------------------------------------------------------- 47 3.2.2 ---------------------------------------------------------------------------------------------- 54 (1) --------------------------------------------------------------------------------------------------------- 56 (2) ------------------------------------------------------------------------------------------------------ 59 (3) --------------------------------------------------------------------------------------------------------- 59 (4) ------------------------------------------------------------------------------------------------------ 60 (5) --------------------------------------------------------------------- 60 (6) --------------------------------------------------------------------------------------------- 61 (7) --------------------------------------------------------------------------------------------- 61 3.2.3 1 ---------------------------------------------------------------------- 62 (1) --------------------------------------------------------------------- 62 (2) --------------------------------------------------------------------------------------- 66 (3) ------------------------------------------------------------------------------------------ 75 3.2.4 2 ---------------------------------------------------------------------- 85 (1) --------------------------------------------------------------------- 85 (2) --------------------------------------------------------------------------------------- 89 (3) --------------------------------------------------------107
(4) -----------------------------------------------------------122 (5) -----------------------------------------------------------------------------------------127 3.3 ---------------------------------------------------------------129 3.3.1 ---------------------------------------------------------------------------------------129 3.3.2 ---------------------------------------------------------------------------------------------129 (1) --------------------------------------------------------------------------------------------------------131 (2) -----------------------------------------------------------------------------------------------------131 (3) --------------------------------------------------------------------131 (4) --------------------------------------------------------------------------------------------131 (5) --------------------------------------------------------------------------------------------131 3.3.3 1 ---------------------------------------------------------------------132 (1) --------------------------------------------------------------------132 (2) --------------------------------------------------------------------------------------136 (3) -----------------------------------------------------------------------------------------140 3.3.4 2 ---------------------------------------------------------------------149 (1) --------------------------------------------------------------------149 (2) --------------------------------------------------------------------------------------153 (3) --------------------------------------------------------167 (4) -----------------------------------------------------------179 (5) -----------------------------------------------------------------------------------------183 ----------------------------------------------------------------------------------------------------------------185 ----------------------------------------------------------------------------------------------------------------185 1 ----------------------------------186 2 -------------190 3 -------------------------------------194
1. 19 3 1) 2 2 2)3) -1.1 U 1 1 1 1 2-1-
2 2-2-
(a) (b) -1.1-3-
2. 2.1 2 4) 1 1 1-2.1.1 1 1 5) 1-4-
-2.1.1 2 1 2.2 2.3-5-
2.8 2 2.9 2.2 1 1 2.1 1 1 3.3 1 1 1-2.2.1 1 1 c Z 4.2 2.5 6.2.3 5) D E D E 2 F L -2.8.1-6-
-2.2.1 1-7-
2.3 2 2.1 1-2.3.1-2.3.1 3 2 2 3-2.3.2-8-
(a) (b) (c) -2.3.1-9-
-2.3.1 2-10-
-2.3.2 3-11-
2.4 2 Mφ 50 σ c ε c -2.4.1σ s ε s -2.4.2 Mφ V 10.3 10.4 Mφ M u M u P s (N) V 10.5 (2.4.1) (2.4.3) S s S c P = S + S (2.4.1) s c s = c c c τ bd (2.4.2) c e pt c ( sinθ cosθ ) Awσ syd + = (2.4.3) 1.15a S c (N)τ c (N/mm 2 )c c c e d c pt b (mm)d (mm)s s (N)A w a θ (mm 2 )σ sy (N/mm 2 )θ ()a (mm) 10.5 S c 6)7) -12-
σ ( ε ) c = σ cc Edes c ε cc 1 ε c σ c = Ecε c 1 n ε cc n 1-2.4.1 σ cc (N/mm 2 )ε cc ε cu E c (N/mm 2 )E des (N/mm 2 ) -2.4.2 σ s ε s σ sy (N/mm 2 ) E s (N/mm 2 ) 10.6-2.4.1 ε cc ε cu 8) Mφ -2.4.3-2.4.5 Mφ -13-
Mφ XY Y X Mφ X Mφ XY -14-
X Y (a) (b) Mφ X, Y -2.4.3 Y X (a) (b) Mφ X Y -2.4.4-15-
X Y (a) (b) Mφ X Y -2.4.5-16-
2.5 T = 2.01 δ (2.5.1) T (s)δ 80% (m) δ V6.2.3δ 2 w( s) u( s) ds δ = (2.5.2) w()() s u s ds w(s) s (kn/m)u(s) s (m)δ ( Wiu ) 2 i i ( Wiu j ) δ = (2.5.3) i W i i (kn)u i i (m) 1 2 2 1 2 EI y M y φ y (EI y =M y / φ y = M y0 / φ y0 ) V6.2.3U -17-
(5.5.1) m d (t/m) m d 7 γ w = b 8 g H h (2.5.4) γ w (kn/m 3 )g (m/s 2 )b (m)h (m)h (m) h 1 h 2 (m) m d (t) m d = h2 h1 7 γ w b 8 g H hdh = 7 12 γ w b g H h 3 2 H h 3 1 (2.5.5) I 4.5 5.6 5.7 1-2.2.1 2-1 2-2 -2.5.1-2.5.2-18-
-2.5.1 2-1 -2.5.2 2-2 -19-
2.6-2.6.1 1 2 (2.5.5) m d -2.6.1-2.6.2-20-
-2.6.2 P u : P s : P s0 : P a : S Ps P s < S < P s 0 (2.6.1) P s 0 S S P s P s0 (2.4.2) c c =1.0-2.6.2 3 (2.6.1) 3 P a P a P u P a = P u (2.6.2) P s0 (2.6.2) 2.7 P a k ha -2.6.3 = -21-
-2.6.3 AF k ha P u P c P u P c P u P c P c -22-
k ha A B C P s0 D E F P s0-2.6.3-23-
2.7 1 1-2.7.1 0AB 0CDE -2.7.1 µ r (=δ P / δ y ) 2 1 khe µ r = + 1 (2.7.1) 2 khy (2.7.1)µ a 5.8 (6.4.5) c S (=k hy / k he ) c S = 1 2µ 1 a -24- (2.7.2) µ a (10.2.3) µ δ δ u y a = 1 + (2.7.3) αδ y
δ u δ y α 1 2 5.8 (2.5.3) α -2.7.1-2.7.1 2-1 α 2-2 α 2 3.0 1.5 3 2.4 1.2 µ a =1.0 2 3 1) khw P ag (2.7.4) k h 2k h1 k h2 W (N)P ag (N) k hag P ag = k hag W (2.7.4) k h ( csgcz kh ) khag = 0 (2.7.5) c SG c Z k h0 2-25-
k hag c Z k h0 MW M uw (2.7.6) SW P sw 0 (2.7.7) M W (Nmm)M uw (N mm)s W (N)P sw0 RC V10.78) δ R (6.4.9) R R ( µ r )( r) δ y δ = c 1 1 (2.7.8) c R RC0.6µ r r 2RC0δ y (mm) 2 1 c Z kh0 µ = r + 1 (2.7.9) 2 khag δ y δ R δ Ra δ R δ Ra (2.7.10) 2) k haw k haw khaw k hag (2.7.11) khw P aw (2.7.12) P aw (N) k haw P aw = k haw W (2.7.12) -26-
k h ( csw cz kh ) khaw = 0 (2.7.13) c SW δ R (2.7.8) 2 1 c Z kh0 µ = r + 1 (2.7.14) 2 khaw δ y δ R (2.7.10) 2 δ Ra1 δ Ra1 δ Ra2-2.7.2 (2.7.15)(2.7.16) 2 2 1 h 4b θ = Ra 2cos (2.7.15) 2 2 2 4bt + h h + 4t 4b 2 2 1 h 4B θ = Ra 2cos (2.7.16) 2 2 2 4BL + h h + 4L 4B h t b L B (rad )) t rad h h L (a) (b) -2.7.2 (2.7.15)(2.7.16) -2.7.2-27-
3 3 1/100-28-
2.8 2 4.5.2 12.3 (a) (b) (a) (b) 60% (c) 60% 22-12-2 21 2 12 1 2 2 1 3 4.5.2-29-
k = hp cdf Pu W (2.8.1) k hp c df (=1.1)P u (N)W (N) c df 6.4.7 k hp P u W k hp k hp = cdf khug hp cdf khug k = (2.8.2) k hug k huw c Z k h0-2.8.1-2.8.2-2.8.1-30-
-2.8.2 5.72 4.5.2 (2.8.3) (2.8.4) k 1. 5 (2.8.3) hug k h k 1. 5 (2.8.4) huw k h 2 12.4 µ Fr δ Fr µ Fr 1 = r 2 { ( 1 r) + 1 r + r( khf khyf ) } 1 2 1+ ( k k ) 2 { } Fr hf Fr -31- hyf Fy ( r 0) ( r = 0) (2.8.5) δ = µ δ (2.8.6) r 0k hf
k hf δ Fy (m) k hf k = c c k (2.8.7) hf D c D 12.42/3 δ 0 13.3 µ = δ δ (2.8.8) δ Fr + (2.8.9) δ Fy + (2.8.10) µ Fr 1 = r Z h0 Fr Fr Fy = µ δ Fr Fy δ 0 = δ Fy δ 0 2 { ( 1 r) + 1 r + r( khf khyf ) } 1 2 1+ ( k k ) 2 { } hf hyf ( r 0) ( r = 0) (2.8.11) µ Fr k h =0δ F =δ 0 δ Fr k h =0δ F =δ 0 (m) 6.3 8.2-2.8.1 D E D E 2-1 2-2 -2.8.1 D E F L x (m) R R0.3 0.3<R 1 2 1 2 F L 1/3 1/3<F L 2/3 0x10 1/6 0 1/3 1/6 10x20 2/3 1/3 2/3 1/3 0x10 2/3 1/3 1 2/3 10x20 1 2/3 1 2/3 0x10 1 2/3 1 1 2/3<F L 1 10x20 1 1 1 1 12.5 (2.7.4) 4 12.5 0.02rad ( -32-
1/60rad) 2.3 2 2 0.02rad ( 1/60rad) 10.6 11.8.5 12.10.5-33-
2.9 2 8.7 (8.7.1) 8.7 U 1 2-34-
3. 3.1-3.1.1-3.1.1-3.1.1 No.4 3.2 3.3 2 c Z = 1.0-3.1.1-35-
-3.1.1-36-
3.2 3.2.1 (1) -3.2.1-3.2.2-3.2.1-3.2.3-3.2.4-3.2.6-3.2.7-3.2.8-3.2.5-3.2.1-37-
-3.2.2-3.2.1 σ ck = 24 (N/mm 2 ) SD345 σ ck = 24 (N/mm 2 ) SD345 σ ck = 24 (N/mm 2 ) SD345-38-
-3.2.3-39-
-3.2.4-40-
-3.2.5-41-
-3.2.6-42-
-3.2.7-43-
-3.2.8-44-
(2) PHC = 4.010 4 N/mm 2 = 80.0 N/mm 2 = 54 = 1000 mm = 130.0 mm = 13.9 m = 2.50 m W 0 = 9.06 kn/m W = 5.58 kn/m PC py = 1275.0 N/mm 2 pu = 1422.0 N/mm 2 = 2.010 5 N/mM 2-3.2.9-45-
6.9m PHC PHC -3.2.10 12.11.1 100mm -3.2.10 PHC -46-
(3) -3.2.11 N -3.2.2-3.2.3-3.2.11-47-
-3.2.2 (m) N 1 2 1.3 15 2.3 15 3.3 5 4.3 6 5.3 9 3 6.3 10 7.3 10 8.3 11 9.3 6 4 10.3 3 11.3 6 12.3 5 13.3 15 5 14.3 25 15.3 20 16.3 39 17.3 50 6 18.3 50 19.3 50 20.0 50-3.2.3 (m) N c (kn/m 2 ) (kn/m 3 ) αe 0 (kn/m 2 ) φ () γ t1 γ t2 1 2.7 15 30 17.0 8.0 42000 84000 2 2.5 5 30 17.0 8.0 14000 28000 3 4.0 10 27 17.0 8.0 28000 56000 4 3.5 5 30 17.0 8.0 14000 28000 5 3.5 20 30 19.0 10.0 56000 112000 6 5.0 50 40 19.0 10.0 140000 280000-48-
4.5Vs i Vs i = 100N 1/3 i (1N i 25) Vs i = 80N 1/3 i (1N i 50) -3.2.4T G = n H i TG 4 =0.420 (s) i= 1 Vsi II -3.2.4 H i (m) N Vs i (m/s) H i / Vs i 1 2.7 15.0 197 0.014 2 2.5 5.0 171 0.015 3 4.0 10.0 172 0.023 4 3.5 5.0 171 0.020 5 3.5 20.0 217 0.016 6 5.0 50.0 295 0.017 21.2 0.105-49-
6.2 10 20 FC 35FC 35 I P 15 D 50 10mm 10 D 10 1mm -3.2.5 (m) γ t1 (kn/m 3 ) γ t2 (kn/m 3 ) I P FC (%) D 50 (mm) 10% D 10 (mm) 1 2.7 17.0 8.0 0.0 0.0 0.35 0.002 2 2.5 17.0 8.0 3 4.0 17.0 8.0 0.0 25.0 0.35 0.075 4 3.5 17.0 8.0 5 3.5 19.0 10.0 0.0 35.0 0.35 0.3 6 5.0 19.0 10.0 0.0 0.0 9.0 0.85-3.2.5 3 5 F L F L 1.0 2.8 2-1 2-2 -3.2.12-3.2.13 2 D E 2-1 2-2 2-1 D E 1 2.8-3.2.14-50-
-51- G.L.- (m) R F L q u (kn/m 2 ) D E 1.3 2.3 3.3 4.3 5.3 6.3 7.3 8.3 9.3 10.3 11.3 12.3 13.3 14.3 15.3 16.3 17.3 18.3 19.3 20.0 1.044 0.663 0.293 0.299 0.288 0.294 0.354 1.945 0.529 0.395 0.775 0.636 0.540 0.491 1.368 0.882 0.408 0.424 0.416 0.431 0.572 3.228 0.902 0.692 1.391 1.172 1.021 0.944 0.0 0.0 60.0 60.0 0.0 0.0 0.0 0.0 60.0 60.0 60.0 60.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1 1 1 1 1/3 1/3 1/3 1/3 1 1 1 1 2/3 1 1 1 1 1 1 1-3.2.12 2-1
-52- G.L.- (m) R F L q u (kn/m 2 ) D E 1.3 2.3 3.3 4.3 5.3 6.3 7.3 8.3 9.3 10.3 11.3 12.3 13.3 14.3 15.3 16.3 17.3 18.3 19.3 20.0 2.089 1.326 0.479 0.495 0.467 0.482 0.651 3.890 1.058 0.781 1.550 1.273 1.081 0.982 1.368 0.882 0.334 0.351 0.337 0.353 0.526 3.228 0.902 0.683 1.391 1.172 1.021 0.944 0.0 0.0 60.0 60.0 0.0 0.0 0.0 0.0 60.0 60.0 60.0 60.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1 1 1 1 2/3 2/3 2/3 2/3 1 1 1 1 2/3 1 1 1 1 1 1 1-3.2.13 2-2
-53- G.L.- (m) D E 1.3 2.3 3.3 4.3 5.3 6.3 7.3 8.3 9.3 10.3 11.3 12.3 13.3 14.3 15.3 16.3 17.3 18.3 19.3 20.0 1 1 1 1 2/3 2/3 2/3 2/3 1 1 1 1 1 1 1 1 1 1 1 1-3.2.14 1
3.2.2-3.2.15-54-
-3.2.15-55-
(1) -3.2.16-3.2.6-3.2.16-56-
-3.2.6 No. (kn) 3000 1000 18 () 6104 913 617 1 1500 5950 1427 19451 2830 24663 1840 1 385-3.2.17 1737 γ sat =19.6 (kn/m 3 ) 1729 γ w =9.8 (kn/m 3 ) -57-
(1840kN) 1840 (kn) / 50.20 () 5.250 () 2= 384.86 (kn) 5250 5250-3.2.17-58-
(2) T.P+13.20 T.P+3.50 T.P+7.90 T.P+3.50-3.2.18 (3) γ 9.8 (kn/m 3 ) K 0 = 0.50 0.50 9.8 (kn/m 3 ) 1.00 (m) 4.5 (m) = 22.5 (kn/m) 0.50 9.8 (kn/m 3 ) 1.00 (m) 50.20 (m) = 246.0 (kn/m) -3.2.19-59-
(4) w 1 = 4.4 (m) 9.8 (kn/m 3 ) 15.0 (m) = 646.8 (kn/m) w 2 = (9.70 (m) 4.40 (m) ) 9.8 (kn/m 3 ) 15.0 (m) 779.1 (kn/m) -3.2.20 (5) -60-
(6) ( 5.5.1) 7 pd = γ wkhs H h 8 p d (kn/m 2 )γw (kn/m 3 )k hs H (m)h (m) h 1 h 2 m d m h = 2 d h1 8 7 γ w b g H hdh = 7 12 γ w g b H h 3 2 H h g (m/s 2 )b (m) k hs 1 2 k huw c Z k h0 3 1-3.2.21 (7) 3.2.1(3) -61-
3.2.3 1 (1) -3.2.22-3.2.7-3.2.16 3.2.3(2)1) k H 6.2.3 6.2.3 104 404 405 401404 702 701 1001 602 601 1004 (2.5.5) -62-
-63- -3.2.22 1
-3.2.7 EI (m) (m) (kn) i j (knm 2 ) 101 0.000 0.000 1056.639 1101 101 1101 102 0.000 1.850 2525.654 102 102 103 4.157E+10 103 0.000 3.224 1535.753 103 103 104 4.157E+10 104 0.000 3.650 2672.719 104 104 105 4.157E+10 105 0.000 4.200 9574.571 105 105 106 4.157E+10 106 0.000 5.700 2559.588 106 106 107 4.157E+10 107 0.000 7.200 2324.959 107 107 108 4.157E+10 108 0.000 8.425 2090.330 108 108 109 4.157E+10 109 0.000 9.650 1045.165 109 109 110 4.157E+10 110 0.000 10.492 3731.452 110 110 111 4.157E+10 111 0.000 11.350 1001 701 301 201 0.252 11.350 57.024 1002 301 111 202 0.252 12.015 148.262 1004 201 601 203 0.252 13.079 182.476 201 201 202 5.833E+07 204 0.252 14.143 290.678 202 202 203 5.833E+07 205 0.252 15.207 193.221 203 203 204 5.833E+07 206 0.252 16.271 182.476 204 204 205 5.833E+07 207 0.252 17.335 148.262 205 205 206 5.833E+07 208 0.252 18.000 57.024 206 206 207 5.833E+07 209 0.252 18.500 207 207 208 5.833E+07 210 0.252 20.000 208 208 209 5.833E+07 301-5.748 11.350 57.024 209 209 210 302-5.748 12.015 148.262 301 301 302 5.833E+07 303-5.748 13.079 182.476 302 302 303 5.833E+07 304-5.748 14.143 247.404 303 303 304 5.833E+07 305-5.748 15.207 187.618 304 304 305 5.833E+07 306-5.748 16.271 182.476 305 305 306 5.833E+07 307-5.748 17.335 148.262 306 306 307 5.833E+07 308-5.748 18.000 57.024 307 307 308 5.833E+07 309-5.748 18.500 308 308 309 5.833E+07 310-5.748 20.000 309 309 310 401-2.748 20.000 401 401 402 402-2.748 20.627 6104.311 402 402 403 403-2.748 22.000 403 403 404 404-2.748 24.000 1000.000 404 404 405 405-2.748 26.450 3000.000 601 601 602 601 7.352 11.350 701 701 702 602 7.352 13.900 5950.000 801 309 802 701-9.498 11.350 802 802 401 4.850E+08 702-9.498 18.180 1500.000 803 401 804 4.850E+08 802-4.748 20.000 804 804 209 804-0.748 20.000 901 901 902 901 0.252-2.500 5167.969 902 902 903 902 0.252-1.250 10335.938 903 101 903 903 0.252 0.000 9159.019-64-
-3.2.8 1 0.245(s) 1 k h k h = c Z k h0 = 1.0 0.25 = 0.25 k h0 1-2.2.1 5.6 1 k hg k hg = c Z k hg0 = 1.0 0.20 = 0.20 k h0 1-2.2.1 5.6-3.2.8 T=0.245 sec T=0.104sec T=0.060 sec 1 2 3-65-
(2) 1) 12.4 R a = γ n ( R W ) + W W u s s R a (kn)n γ R u (kn)w s (kn)w (kn) R u R u = qd A + U Li f i q d (kn/m 2 )A (m 2 )U (m)l i (m)f i (kn/m 2 ) -3.2.9 P = 1 Pu n a + W P a (kn)n W (kn) -3.2.10 L i (m) -3.2.9 f i (kn/m 2 ) D E L i f i (kn/m) L i f i (kn/m) L i f i D E (kn/m) 2 1.5 24.0 1 36.0 36.0 36.0 3 4.0 20.0 2/3 80.0 80.0 53.4 4 3.5 24.0 1 84.0 84.0 84.0 5 3.5 40.0 1 140.0 140.0 140.0 6 1.4 100.0 1 140.0 140.0 140.0 13.9 480.0 480.0 453.4-66-
-3.2.10 D mm 1000 t mm 130 A m 2 0.785 U m 3.142 q d kn/m 2 10000 q d A kn 7850 U Σl i f i kn 1508 1508 1425 R u kn 9358 9358 9275 W s kn 95 W kn 78 γ 1.0 n 3 2 R a kn 3105 4649 4607 n 3 P a kn 0 581 553 D mm t mm A m 2 1000 130 0.785 U m 3.142 q d kn/m 2 10000 q d A kn 7854 U ΣLifi kn 1508 1508 1424 Ru kn 9362 9362 9278 Ws kn 95.0 W kn 77.5 γ 1.0 n 3 2 Ra kn 3106 4651 4609 n 3 Pa kn 0 580 552-67-
K V 12.6.1 7 A E K = p p V a L = 0.355 4.00 10 0.449 =5.102 10 5 (kn/m 2 ) 13. 9 A p E p (kn/m 2 )L (m) PHC a a = 0.010(L / D) 0.36 = 0.010(13.9/1.00) +0.36 = 0.499 D (m) K H 9.5.2 k H = k H 0 BH 0.3 3 4 1 k H 0 = αe0 0.3 k H (kn/m 3 )k H0 0.3m (kn/m 3 )α B H B H = D β D (m)β = 4 D k H 4EI (1/m) D = 1.000 (m) E = 4.00 10 7 (kn/m 2 ) I = 0.03436776 (m 4 ) B H = 2.0424 (m) () β = 0.239735 (m -1 ) 1/β = 4.1713 (m) 1/β αe 0 = 22965.5 (kn/m 2 ) k H0 = 76551.7 (kn/m 3 ) -68-
(m) N -3.2.11 αe 0 (kn/m 2 ) D E k H (kn/m 3 ) 2 1.500 5.0 14000 28000 1 11073 22145 22145 3 4.000 10.0 28000 56000 2/3 22145 44290 29526 4 3.500 5.0 14000 28000 1 11073 22145 22145 5 3.500 20.0 56000 112000 1 44290 88581 88581 6 1.400 50.0 140000 280000 1 110726 221452 221452 K 1 K 4 12.6.2 3 K = EI, 1 4 β K 2 = 2 β 3 K 1 = 2EIβ, 2 = K 3 = 0 2 = K 3 EI, β K 4 = 2EI K, K 0 4 = K 1 K 3 (kn/m) (knm/m) K 2 K 4 (kn/rad) (knm/rad) 12.9.1 1-3.2.12-3.2.13 2-69-
-3.2.12 K 1 kn/m 7.170 10 4 1.176 10 5 9.881 10 4 K 2 kn/rad 1.613 10 5 2.275 10 5 1.942 10 5 K 3 knm/m 1.613 10 5 2.275 10 5 1.942 10 5 K 4 knm/rad 6.691 10 5 7.994 10 5 7.351 10 5-3.2.13 K 1 kn/m 3.585 10 4 5.880 10 4 4.940 10 4 K 2 kn/rad 0.000 0.000 0.000 K 3 knm/m 0.000 0.000 0.000 K 4 knm/rad 0.000 0.000 0.000 (S-R) H (kn) V (kn)m (knm)δ x (m)δ y (m)α (rad.) H A xx Axy Axα δ x V = Ayx Ayy Ayα δ y M Aα x Aα y Aαα α A xx = Σ (K 1 cos 2 θ i +K v sin 2 θ i ) A xy =A yx = Σ (K v K 1 ) sinθ i cosθ i A xα =A αx = Σ { (K v K 1 ) x i sinθ i cosθ i K 2 cosθ i } A yy = Σ (K v cos 2 θ i +K 1 sin 2 θ i ) A yα =A αy = Σ { (K v cos 2 θ i +K 1 sin 2 θ i ) x i +K 2 sinθ i } A αα = Σ { (K v cos 2 θ i +K 1 sin 2 θ i ) x 2 i + (K 2 + K 3 ) x i sinθ i + K 4 } x i ix q i i 6 7 A xx Axy Axα 6.35 10 0 1.23 10 7 Ayx Ayy Ayα = 0 2.76 10 0 () 7 9 Aα x Aα y Aαα 1.23 10 0 1.19 10 6 7 A xx Axy Axα 5.34 10 0 10.5 10 7 Ayx Ayy Ayα = 0 2.76 10 0 () 7 9 Aα x Aα y Aαα 10.5 10 0 1.19 10-70-
2) -3.2.14-3.2.19 W i H i x i y i -3.2.14 1+ W i (kn) x i (m) y i (m) W i x i W i y i 3000-3.000 28.950-9000 86850 1000-3.000 26.500-3000 26500 8574-2.972 21.403-25482 183509 12574-37482 296859 y 1 = Σ (W i y i ) / Σ W i = 296859 / 12574 = 23.609 (m) -3.2.15 2+ W i (kn) x i (m) y i (m) W i x i W i y i 5950 7.100 16.400 42245 97580 1500-9.750 20.680-14625 31020 19451-0.130 8.576-2529 166812 26901 25091 295412 y 2 = Σ (Wy i y i ) / Σ W i = 295412 / 26901 = 10.981 (m) -3.2.16 3 H i (kn) x i (m) y i (m) W i x i H i y i 1840 6.150 11316 7826 6.700 52434 9666 63750 y 3 = Σ (H i y i ) / Σ H i = 63750 / 9666 = 6.595 (m) -71-
-3.2.17 4+ W i (kn) x i (m) y i (m) W i x i W i y i (28) 3462-7.325 3.100-25359 10732 (29) 529-2.600 2.900-1375 1534 (30) 20672 0.000 1.250 0 25840 24663-26734 38106 y 4 = Σ (W i y i ) / Σ W i = 38106 / 24663 = 1.545 (m) -3.2.18 5 W i (kn) x i (m) y i (m) W i x i W i y i 385-2.980-1147 5505 0.870 4789 5580-5.246-29273 -23342-1.410 32912-11872 7281-3.2.19 6 H i (kn) x i (m) y i (m) W i x i H i y i 12413 4.824 59877 137 4.033 553 12550 60429 y 6 = Σ (H i y i ) / Σ H i = 60429 / 12550 = 4.815 (m) M d -3.2.14-3.2.18 W i x i W i x i -3.2.19 H i y i H i y i M d = -37482 + 25091-26734 + 7281+ 60429 = 28584 (knm) -72-
V (kn) H (kn) M (knm) -3.2.14-3.2.19 V = W 1 + W 2 + W 4 + W 5 = 12574 + 26901 + 24663-11872 = 52266 (kn) H = k h (W 1 + W 2 + H 3 + W 4 ) + H 6 = 0.25(12574 +26901 +9666 +24663)+ 12550 = 31001 (kn) M = k h (W 1 y 1 + W 2 y 2 + H 3 y 3 + W 4 y 4 ) + H 6 y 6 +M d = 0.25(1257423.609 +2690110.981 +96666.595 +246631.545) +28584 = 202117 (knm) -73-
3) -3.2.20 7.2.4 10mm -3.2.20 P N kn 2113 2118 Ra kn 4649 4607 P N Ra P N Ra OK OK P N kn 178 182 Pa kn 581 553 P N Ra P N Ra OK OK δ mm 5.32 6.25 δ a mm 10.00 10.00 δδ a δδ a OK OK -74-
(3) 1) 3.2.2-3.2.22-3.2.21-3.2.21 101 1056.639 1056.639 102 2525.654 2525.654 103 1535.753 1535.753 104 832.719 832.719 105 1749.052 1749.052 106 2559.588 2559.588 107 2324.959 2324.959 108 2090.330 2090.330 109 1045.165 1045.165 110 3731.452 3731.452 201 57.024 57.024 202 148.262 148.262 203 182.476 182.476 204 290.678 290.678 205 193.221 193.221 206 182.476 182.476 207 148.262 148.262 208 57.024 57.024 301 57.024 57.024 302 148.262 148.262 303 182.476 182.476 304 247.404 247.404 305 187.618 187.618 306 182.476 182.476 307 148.262 148.262 308 57.024 57.024 402 6104.311 6104.311 405 3000.000 3000.000 404 1000.000 1000.000 702 1500.000 1500.000 602 5950.000 5950.000 103 9527.457 105 7825.519 104 1840.000 102 113.342 101 23.408-75-
-3.2.22 (a) knm(b) kn -3.2.23-3.2.22 M S N M S N (knm) (kn) (kn) (knm) (kn) (kn) G -159228.8 21661.9 38418.9-159228.8 21661.9 38418.9 A -5021.2 1321.7 2978.4-2510.6 660.9 1489.2 B 5414.7 1033.4 1824.9 2707.3 516.7 912.4 C -6292.2 1793.3 9481.9-3146.1 896.7 4740.9 D 3365.6 1492.7 8279.5 1682.8 746.4 4139.7 E -7653.8 6732.1 1492.7-7653.8 6732.1 1492.7 F 10356.4 3723.3 1492.7 10356.4 3723.3 1492.7-76-
2) 7.3 1.5 7.3-3.2.23-3.2.24-3.2.23 A B C D M knm 2510.6 2707.3 3146.1 1682.8 N kn 1489.2 912.4 4740.9 4139.7 S kn 660.9 516.7 896.7 746.4 b mm 1750.0 1750.0 1750.0 1750.0 h mm 2000.0 2000.0 2000.0 2000.0 d mm 1850.0 1850.0 1850.0 1850.0 mm D29 ctc 250 D29 ctc 250 D29 ctc 250 D29 ctc 250 mm --- --- --- --- 18 18 18 18 A s mm 2 11563.2 11563.2 11563.2 11563.2 A w mm 2 4-D19 ctc150 4-D19 ctc150 4-D19 ctc150 4-D19 ctc150 1146.0 1146.0 1146.0 1146.0 x mm 571.6 1250.5 1232.0 548.0 σ c 4.02 3.67 4.27 2.71 σ s N/mm 2 134.95 26.37 32.12 96.63 τ m 0.20 0.16 0.28 0.23 σ ca 12.00 12.00 12.00 12.00 σ sa N/mm 2 300.00 300.00 300.00 300.00 τ a1 0.58 0.58 0.58 0.58-3.2.24 A B C D A sreq mm 2 4780.8 3366.1 0.0 0.0 M u knm 5023.8 4522.9 7807.3 7300.1 M c knm 2867.3 2669.3 3983.8 3777.4 1.7M d knm 4268.0 4602.5 5348.3 2860.8 A smin mm 2 3917.3 4985.4 4261.5 3721.1 OK OK OK OK 1)M u M c 2)1.7MM c 3)A s 500(mm 2 ) 1)2)3)OK -77-
3) 7.3 1.5 7.3-3.2.25-3.2.26-3.2.25 G M knm 159228.8 N kn 38418.9 S kn 21661.9 b mm 2000.0 h mm 17906.0 d mm 17470.0 1 mm D32 ctc 150 2 mm --- 266 A s mm 2 211257.2 x mm 14841.0 σ c 1.49 σ s N/mm 2 22.05 τ m 0.62 σ ca 12.00 σ sa N/mm 2 300.00 τ a1 0.58-3.2.26 G A sreq mm 2 M u knm 224435.2 M c knm 94669.8 1.7M d knm 270688.9 A smin mm 2 --- 1)M u M c 2)1.7MM c 3)A s 500 (mm 2 ) 1)2)3)OK -78-
4) 7.3 1.5 7.3-3.2.27-3.2.28-3.2.27 E F M knm 7653.8 10356.4 N kn 1492.7 1492.7 S kn 6762.1 3727.3 b mm 3000.0 3000.0 h mm 4000.0 4000.0 d mm 3850.0 3850.0 1 mm D29 ctc 125 D29 ctc 125 2 mm --- --- 19 19 A s mm 2 12205.6 12205.6 A w mm 2 6-D22 ctc150 6-D22 ctc150 2322.6 2322.6 x mm 863.0 793.8 σ c 2.26 3.07 σ s N/mm 2 117.25 177.46 τ m 0.59 0.32 σ ca 12.00 12.00 σ sa N/mm 2 300.00 300.00 τ a1 0.58 0.58-3.2.28 E F A sreq mm 2 4500.1 7028.8 M u knm 18923.8 18923.8 M c knm 16729.0 16729.0 1.7M d knm 13011.4 17605.8 A smin mm 2 1500.0 10166.9 OK OK 1)M u M c 2)1.7MM c 3)A s 500 (mm 2 ) 1)2) 3) OK -79-
5) 8.7.2 βλ 1.0 (= 5.250 (m) ) β 3k β = 4 (m -1 ) 3 Eh E (= 250107 (kn/m 2 ) )h (= 2.5 (m) ) k k p (kn/m 3 ) nm k = p Kv DB Kv 1 (=510221 (kn/m)n (=9 )m =6 D (= 22.5 (m) )B (=15.0 (m) ) βλ =0.831 1.0-80-
-3.2.24-3.2.29-3.2.30-3.2.31 h2-3.2.24-3.2.29 M knm -3758.71 25342.50 mm 8078 9060 mm 3700 2500 mm 3578 mm D25250 32 2280 D29125 72 mm 2 16721.1 46895.2 mm 441.3 522.5 σ c N/mm 2 0.61 5.09 σ s N/mm 2 65.52 256.61 σ ca N/mm 2 12.00 12.00 σ sa N/mm 2 300.00 300.00-81-
-3.2.30 mm 2 3572 39887 M u knm 20535.12 36161.12 M c knm 13708.71 18060.33 1.7M knm 6389.81 43082.24 A s mm 2 /m 2070.0 5176.1 OK OK 1)M u M c 2)1.7MM c 3)A s 500 (mm 2 ) 1)2)3)OK -3.2.31 S kn 12017.43 b mm 15000 h mm 2500 d mm 2280 a mm 2262 d mm 2280 S h kn 12017.43 τ m N/mm 2 0.351 τ a1 N/mm 2 0.350 τ a N/mm 2 1.055 τ a2 N/mm 2 2.550 S ca kn 36066.93 S h kn 0.00 S mm 250 σ sa N/mm 2 300.00 c ds 0.397 d1.15 mm 1983 A w mm 2 /m 573.0 A wreq mm 2 /m 0.0-82-
6) 2 12.9.1-3.2.25-3.2.32-3.2.25-83-
-3.2.32 (a) knm 1029.9 1029.9 333.1 333.1 kn 2113.3-177.51 2113.3-177.51 mm 1000 1000 1000 1000 mm 130 130 130 130 σ ce N/mm 2 10.0 10.0 4.0 4.0 σ c N/mm 2 29.90 23.77 14.58 8.26 σ c ' N/mm 2 1.41-4.72 5.08-1.24 σ c N/mm 2 40.00 40.00 40.00 40.00 σ c ' N/mm 2-5.00-5.00-3.00-3.00 (b) knm 1048.45 1048.45 372.14 372.14 kn 2117.75-181.96 2117.75-181.96 mm 1000 1000 1000 1000 mm 130 130 130 130 σ ce N/mm 2 10.0 10.0 4.0 4.0 σ c N/mm 2 30.17 24.01 15.15 8.80 σ c ' N/mm 2 1.17-4.99 4.54-1.81 σ c N/mm 2 40.00 40.00 40.00 40.00 σ c ' N/mm 2-5.00-5.00-3.00-3.00-84-
3.2.4 2 (1) -3.2.26-3.2.33 1 1-85-
1000-1001, 2101-2102, 2107-2108, 3101-3102, 3107-3108 -3.2.26 2-86-
-3.2.33 EI (m) (m) (kn) i j (knm 2 ) 101 0.000 0.000 1056.639 1101 101 1101 11011102 0.000 0.925 1102 1102 102 102 0.000 1.850 2525.654 102 102 103 4.157E+10 103 0.000 3.224 1535.753 103 103 104 4.157E+10 104 0.000 3.650 2672.719 104 104 105 4.157E+10 105 0.000 4.200 9574.571 105 105 106 4.157E+10 106 0.000 5.700 2559.588 106 106 107 4.157E+10 107 0.000 7.200 2324.959 107 107 108 4.157E+10 108 0.000 8.425 2090.330 108 108 109 4.157E+10 109 0.000 9.650 1045.165 109 109 110 4.157E+10 110 0.000 10.492 3731.452 110 110 111 4.157E+10 111 0.000 11.350 1001 701 301 201 0.252 11.350 57.024 1002 301 111 21012102 0.252 11.683 1003 111 201 202 0.252 12.015 148.262 1004 201 601 203 0.252 13.079 182.476 2101 201 2101 204 0.252 14.143 290.678 2102 2102 202 205 0.252 15.207 193.221 202 202 203 1.200E+07 206 0.252 16.271 182.476 203 203 204 1.200E+07 207 0.252 17.335 148.262 204 204 205 1.200E+07 21072108 0.252 17.668 205 205 206 1.200E+07 208 0.252 18.000 57.024 206 206 207 1.200E+07 209 0.252 20.000 2107 207 2107 301-5.748 11.350 57.024 2108 2108 208 31013102-5.748 11.683 208 208 209 302-5.748 12.015 148.262 3101 301 3101 303-5.748 13.079 182.476 3102 3102 302 304-5.748 14.143 247.404 302 302 303 1.200E+07 305-5.748 15.207 187.618 303 303 304 1.200E+07 306-5.748 16.271 182.476 304 304 305 1.200E+07 307-5.748 17.335 148.262 305 305 306 1.200E+07 31073108-5.748 17.668 306 306 307 1.200E+07 308-5.748 18.000 57.024 3107 307 3107 309-5.748 20.000 3108 3108 308 401-2.748 20.000 308 308 309 402-2.748 20.627 6104.311 401 401 402 403-2.748 22.000 402 402 403 404-2.748 24.000 1000.000 403 403 404 405-2.748 26.450 3000.000 404 404 405 601 7.352 11.350 601 601 602 602 7.352 13.900 5950.000 701 701 702 701-9.498 11.350 801 309 802 702-9.498 18.180 1500.000 802 802 401 4.850E+08 802-4.748 20.000 803 401 804 4.850E+08 804-0.748 20.000 804 804 209 901 0.252-2.500 5167.969 901 901 902 902 0.252-1.250 10335.938 902 902 903 903 0.252 0.000 9159.019 903 101 903-87-
-3.2.34 1 0.335 (s) -2.5.1-2.5.2 5.7 2-1 k h10 2-2 k h20 k h10 = 0.85 k h20 = 1.56 c S c Z = 1.0 2-1 2-2 k h1g k h2g k h1g = c Z k h1g0 = 1.0 0.35 = 0.35 k h2g = c Z k h2g0 = 1.0 0.70 = 0.70 k h1g0 k h2g0 2-1 2-2 -2.5.1-2.5.2 5.7-3.2.34 T=0.335sec T=0.127sec T=0.086 sec 1 2 3-88-
(2) 1) -3.2.27 1000-1001, 2101-2102, 2107-2108, 3101-3102, 3107-3108 M θ -3.2.27-89-
2.4 10.3 N u M u -3.2.28 N-M u M u 10.6 2-2 ε cu 8) 2-1 2-2 ε cc ε cu 2-1 2-2 N-M u -3.2.28 N-M u 2-12-2 L p 1/2 (10.3.7) L p = 0.2h 0.1D = 0.665 (m) (0.5D = 1.00(m) ) D (=2.0m)h 1/2 (=4.325m) L p -3.2.29 EI y u -90-
2-1 2-2 M θ BD M y = 10587(kNm)θ y = 1.15710-3 (rad) M u = 10587(kNm)θ u = 1.34610-2 (rad) AC M y M u = 10223 (knm)θ y = 1.15010-3 (rad) = 10223 (knm)θ u = 1.41610-2 (rad) EI y EI y = n {M yb / (θ yb / L p )+ (M ya / (θ ya / L p )} / 2 = 2 {10587/ (1.15710-3 /0.665)+ 10223 / (1.15010-3 /0.665)} / 2 = 1.20010 7 (knm 2 ) EI EI = 2.50010 7 19.400 = 4.85010 8 (knm 2 ) -91-
-3.2.29-92-
2) L p (10.3.7) L p =0.2h 0.1D = 0.210.8500.118.500 =0.320 (m) 0.1D =1.850 (m) L p 0.5D =9.250 (m) L p =1.850 (m) D (=18.5m)h (= 10.850 (m) ) L p -3.2.30 M θ 2 y M y = 8.37810 5 (knm) θ y = 2.28210-4 (rad) EI EI= 2.50010 7 1662.800 = 4.15710 10 (knm 2 ) -93-
-3.2.30-94-
3) -3.2.26 3.2.3(1) 2-1 k h δ -3.2.31 2-1 BADC 4 10.5 S c (kn) S c = nc c c e c pt τ c bd / 1000 = 20.60.8730.9000.3517501850 / 1000 1068.4 (kn) 2-1 S c nc c c e c pt τ c bd /1000 = 20.80.8730.9000. 3517501850 / 1000 1424.5 (kn) 2-2 n c c c e d c pt τ c (N/mm 2 )b (mm)d (mm) 5-D19@150 S s (kn) S s = ( sin+ cos ) 1433 345 1850 ( 1.0 + 0.0) 1000 2 1000 A σ syd n w 1.15a = 1.15 150 = 10604.2 (kn) A w a θ (mm 2 )σ sy (N/mm 2 )θ ()a (mm) P s (kn) P s = S c + S s =11672.6 (kn) 2-1 P s = S c + S s =12028.7 (kn) 2-2 P s0 (kn) -95-
P s0 =12384.9 (kn) S c (kn) S c = c c c e c pt τ c bd / 1000 = 0.60.50.9000.35200016100 / 1000 3042.9 (kn) 2-1 S c c c c e c pt τ c bd / 1000 = 0.80.50.9000.35200016100 / 1000 4057.2 (kn) 2-2 9-D19@150 S s (kn) S s = A w σ d sy ( sin+ cos) 2579 345 16100 ( 1.0 + 0.0) 1000 1000 1.15a = 1.15 150 =83043.8 (kn) P s (kn) P s = S c + S s = 86086.7(kN) 2-1 P s = S c + S s = 87101.0(kN) 2-2 P s0 (kn) P s0 =88115.3 (kn) 4 S AS= 1824.3(kN) < P s 11672.6 (kn) BS= 3738.5(kN) < P s 11672.6 (kn) CS= 6571.2(kN) < P s 11672.6 (kn) DS= 10311.7 (kn) < P s 11672.6 (kn) P s -2.6.3 1.13 k hag 1.13 2-2 2-1 4 S AS= 1824.3(kN) < P s 12028.7 (kn) -96-
BS= 3738.5 (kn) < P s 12028.7 (kn) CS= 6571.2(kN) < P s 12028.7 (kn) DS= 10311.7 (kn) < P s 12028.7 (kn) P s k hag 1.13-97-
4) k h δ -3.2.31 A δ y (m) khug 1.13 δ y = δ y0 = 0.011 =0.016 (m) k 0.78 hy0 δ y0 1 (m)k hug k hy0 1 2-1 2-2 -3.2.31 k h δ θ p δ -3.2.32 10.8 2 D -98-
0.071m 2-1 2-2 -3.2.32 θ p δ -99-
δ y δ u µ ag c SG k h δ u δ y 0.071 0.016 µ ag = 1+ = 1+ = 2.146 2-1 α δ 3.0 0.016 y δ u δ y 0.071 0.016 µ ag = 1+ = 1+ = 3.292 2-2 α δ 1.5 0.016 y α -2.7.1 c SG c SG = = 1 = 2µ 1 ag 1 = 2µ 1 ag 1 = 0.551 2-1 2 2.146 1 1 = 0.423 2-2 2 3.292 1 k h1 = c SG c Z k h10 = 0.551 1.0 0.85 = 0.47 0.4c Z = 0.4 2-1 k h2 = c SG c Z k h20 = 0.423 1.0 1.56 = 0.66 0.4c Z = 0.4 2-2 (2.7.5) k h1 = 0.47 < k hag = 1.13 2-1 k h2 = 0.66 < k hag = 1.13 2-2 -100-
(2.7.10) 2 2 1 c Z kh 10 1 1.0 0.85 µ r = + 1 = + 1 =0.783 2-1 2 khag 2 1.13 2 2 1 c Z kh20 1 1.0 1.56 µ r = + 1 = + 1 =1.453 2-2 2 khag 2 1.13 (2.7.9) δ R 2-1 r 1.0 2-2 δ R = c R (µ r 1)(1 r)δ y = 0.6 (1.4531) (10) 0.016 = 0.0043(m) c R (=0.6)r (=0) 2 (2.7.15) θ Ra1 (rad) θ Ra1 = 2cos 1 2 2 h 4b 2 4bt + h h + 4t 2 4b 2 =0.017(rad) h (mm)t (mm)b (mm) θ Ra1 θ Ra2 1/100 δ Ra1 (m) δ Ra1 = δ Ra2 = θ Ra2 h = 1/100 8.65= 0.0865 (m) h (m) δ R = 0 (m) δ Ra1 =0.0865 (m) 2-1 δ R = 0.0043 (m) δ Ra1 =0.0865 (m) 2-2 -101-
5) k hag 1.1 c Z k h0 1.1-3.2.35-3.2.38 W i H i x i y i -3.2.35 1+ W i (kn) x i (m) y i (m) W i x i W i y i 3000-2.748 26.450-8244 79350 1000-2.748 24.000-2748 24000 8574-2.748 18.903-23562 162076 12574-34554 265426 y 1 = Σ (W i y i ) / Σ W i = 265426 / 12574 = 21.109 (m) -3.2.36 2+ W i (kn) x i (m) y i (m) W i x i W i y i 5950 7.352 13.900 43744 82705 1500-9.498 18.180-14247 27270 19451 0.000 6.076 0.000 118184 26901 29497 228159 y 2 = Σ (Wy i y i ) / Σ W i = 228159 / 26901 = 8.481 (m) -102-
-3.2.37 3 H i (kn) x i (m) y i (m) W i x i H i y i 1840 3.650 6716 7826 4.200 32867 9666 39583 y 3 = Σ (H i y i ) / Σ H i = 39583/ 9666 = 4.095 (m) -3.2.38 6 H i (kn) x i (m) y i (m) W i x i H i y i 9527 3.224 30720 137 1.533 210 9664 30930 y 6 = Σ (H i y i ) / Σ H i = 30930/ 9664 = 3.200 (m) M d -3.2.35-3.2.38 W i x i W i x i M d = -34554 + 29497 = -5057 (knm) 2-1 V (kn) H (kn) M (knm) -3.2.35-3.2.38 V = W 1 + W 2 = 12574 + 27770 = 40344 (kn) H = 1.1k h W 1 + c Z k h10 (W 2 + H 3 ) + H 6 = 1.11.1312574 + 1.00.85(26901 +9666) + 9664 = 56375 (kn) M = 1.1k h W 1 y 1 + c Z k h10 (W 2 y 2 + H 3 y 3 ) + H 6 y 6 +M d = 1.11.131257421.109 + 1.00.85(269018.481 +96664.095) + 96643.200-5057 = 583360 (knm) -103-
2-2 V (kn) H (kn) M (kn m) V = W 1 + W 2 = 12574 + 27770 = 39475 (kn) H = 1.1k h2 W 1 + c Z k h20 (W 2 + H 3 ) + H 6 = 1.11.1312574 + 1.01.57(26901 +9666) + 9664 = 82704 (kn) M = 1.1k h W 1 y 1 + c Z k h20 (W 2 y 2 + H 3 y 3 ) + H 6 y 6 +M d = 1.11.131257421.109 + 1.01.57(269018.481 +96664.095) + 96643.200-5057 = 776126 (knm) H M S W M W (2.7.7) S W = 56375 (kn) P sw0 = 88115 (kn) 2-1 M W = 583360 (knm) M uw = 837800(kNm) 2-1 S W = 82704 (kn) P sw0 = 88115 (kn) 2-2 M W = 776126 (knm) M uw = 837800(kNm) 2-2 -104-
6) M c M y0 M u -3.2.39-3.2.39 M c (knm) M y0 (knm) M u (knm) 19628 19552 25054 2420.0kN 16130 20776 26077 27926 39852 46418-8960.0kN 22948 37362 43592 19628 19552 25054 2420.0kN 16130 20776 26077 27926 39852 46418-8960.0kN 22948 37362 43592 2-1 2-2 S c (kn) S c = c c c e c pt τ c bd /1000 = 1.00.6580.9000.3530003850 /1000 2394.0 (kn) 7-D22@150 S s (kn) S s = A w σ d sy ( sin+ cos) 2710 345 3850 ( 1.0 + 0.0) 1000 1.15a = 20867.0 (kn) 1000 = 1.15 150 P s0 (kn) P s0 = S c + S s =23261.0 (kn) M =17845 (knm) M y0 = 19552 (knm) 2-1 M =3771 (knm) M y0 = 20776 (knm) 2-1 -105-
M =29032 (knm) M y0 = 39852 (knm) 2-1 M =12800 (knm) M y0 = 37362 (knm) 2-1 S =20914(kN) P s0 = 23261.0 (kn) 2-1 M =17845 (knm) M y0 = 19552 (knm) 2-2 M =3771 (knm) M y0 = 20776 (knm) 2-2 M =20932 (knm) M y0 = 39852 (knm) 2-2 M =12800 (knm) M y0 = 37362 (knm) 2-2 S =20914 (kn) P s0 = 23261.0 (kn) 2-2 -106-
(3) 1) -3.2.33-3.2.33-107-
2) 12.10 K VE P NU P TU -3.2.34 P NU R U =q d A + U Σ (L i f i ) 100000.785 + 3.142480 = 9358 (kn) P PU = 0.85 σ ck A c + σ y A s PHC SC RC =0.85 80.010 3 0.3551275.010 3 46.010-4 = 30026 (kn) P NU = min (R U, R PU ) 9358 (kn) R U (kn)r PU (kn)q d (kn/m 2 )A (m 2 )U (m)l i (m)f i (kn/m 2 )σ ck (N/mm 2 )A c (m 2 )σ y (N/mm 2 )A s (m 2 ) P TU P U = U Σ (L i f i ) = 3.142480 = 1508 (kn) W = 5.5813.9 = 78 (kn) P PU = σ y A s =127510 3 46.010-4 = 5865 (kn) P TU = min (P U + W, P PU ) =1586 (kn) P U (kn)w (kn) P PU (kn) K VE 1 K Ap E p = KV a = 5.10210 5 (kn/m) L VE = -108-
k HE p HU -3.2.35 k HE (kn/m 3 ) k HE = η k α k k H η k =2 / 3α k 1.5k H 1 (kn/m 3 ) k HE -3.2.40-3.2.40 (m) N k H (kn/m 3 ) η k α k k HE (kn/m 3 ) 2 1.5 5 22145 1.0 22145 3 4.0 10 44290 1.0 44290 4 3.5 5 22145 1.0 22145 5 3.5 20 88581 1.0 88581 6 1.4 50 221452 1.0 221452 p HU (kn/m 2 ) p HU = η p α p p U η p α p p U (kn/m 2 ) η p α p = 1.5, η p = 1.0-109-
η p α p = () / () 1.5 1/2 P U P U =K EP (Σ γh + q)2ck EP K EP 2 cos φ = sin cos E + δ E 1 cosδ E cosα ( φ δ ) sin( φ α ) 2 K EP γ (kn/m 3 )h (m)q (kn/m 2 ) c (kn/m 2 )φ ()δ E () -3.2.41-3.2.41 (m) N c (kn/m 2 ) φ () δe () γ t2 (kn/m 3 ) K EP 2 1.5 5 30 8.0 1.000 3 4.0 10 27-4.5 8.0 3.035 4 0.8 5 30 8.0 1.000 2.7 5 30 8.0 1.000 5 3.5 20 30-5.00 10.0 3.505 P U (kn/m 2 ) 80.0 92.0 97.1 194.3 124.0 130.4 130.4 152.0 322.5 445.2 η p α p 1.5 2.5 1.5 1.5 2.5 P HU (kn/m 2 ) 1 120.0 138.0 242.8 485.7 186.0 195.6 195.6 228.0 806.2 1112.9 2 120.0 138.0 121.4 242.8 186.0 195.6 195.6 228.0 403.1 556.4 6 5.0 50 40-6.67 10.0 5.996 761.5 845.4 2.5 1903.8 2113.6 951.9 1056.8-110-
11 H p Hu k H (kn/m 3 ) 11.5.1 k H = α k k H 0 BH 0.3 3 4 α k k H 1.0k H0 0.3m (kn/m 3 ) B H (m) k H -3.2.42 1 k H0 = α E0 0.3 B H B e B ele B H 6.124 (m) B e 15.0 (m) L e = 2.5 (m) -3.2.42 (m) ae 0 (kn/m 2 ) k H0 (kn/m 3 ) k HE (kn/m 3 ) 1 1.5 84000 280000 29156.6 2 1.0 28000 93333 9718.9-111-
p HU (kn/m 2 ) 11.8.4 p HU = p p EP α p p EP z(m) (kn/m 2 )α p B e (m) p 1.00.5zB e 3.0 p EP 11.5.2 K EP p EP =K EP (Σ γh + q)2ck EP K EP 2 cos φ = sin cos E + δ E 1 cosδ E cosα ( φ δ ) sin( φ α ) 2 K EP γ (kn/m 3 )h (m)q (kn/m 2 ) c (kn/m 2 )φ ()δ E () -3.2.43-3.2.43 z (m) N c (kn/m 2 ) φ () δ E () γ t2 (kn/m 3 ) K EP p EP (kn/m 2 ) α p p Hu (kn/m 2 ) 1 0.0 1.5 5 0 23-3.83 8.0 2.528 0.0 30.3 1.000 1.050 0.00 31.8 2 1.5 2.5 15 30 0 0 8.0 1.000 72.0 80.0 1.050 1.083 75.6 86.6-112-
PHC M φ -3.2.36 PHC -3.2.44-3.2.45-3.2.37-3.2.39-113-
-3.2.44 =967.9kN M c (knm) M y (knm) M u (knm) (m) φ c (1/m) φ y (1/m) φ u (1/m) No.1 2.500 1231.7 2282.6 2960.9 0.0008414 0.0041332 0.0171803 No.2 4.400 1231.7 2326.4 2719.5 0.0008414 0.0038430 0.0097327 No.3 7.000 770.1 1219.8 1485.7 0.0005464 0.0033800 0.0172565-3.2.45 =0.0kN M c (knm) M y (knm) M u (knm) (m) φ c (1/m) φ y (1/m) φ u (1/m) No.1 2.500 1044.4 1967.6 2644.1 0.0007135 0.0039240 0.0196659 No.2 4.400 1044.4 2014.2 2453.9 0.0007135 0.0036498 0.0114006 No.3 7.000 582.9 857.5 1113.9 0.0004135 0.0031763 0.0217737-114-
knm 1/m -3.2.37 No.1 knm 1/m -3.2.38 No.2 knm 1/m -3.2.39 No.3-115-
3) 2 2-1 2-2 2-2 k hg = k hp = c df k hug = 1.1 1.13 = 1.24 k hw = c Z k h20 = 1.0 1.56 = 1.56 k h2g = 0.70 2-2 -3.2.40-3.2.14-3.2.19 (α i k h k hp ) α i c Z k h0 α i k hg α i = k hp / (c Z k h0 ) =1.24 / 1.56 =0.795 k hp V 0 H 0 M 0 16-3.2.14-3.2.19 V 0 = W 1 +W 2 +W 4 +W 5 =12574 +26901 +24663-11872 =52266 (kn) H 0 = α i c Z k h0 (W 1 + W 2 +H 3 ) + α i k hg W 4 +H 6 =α i 1.56(12574 +26901+9666) + α i 0.7024663 +12550 =α i 93924.06 +12550 (kn) M 0 = α i c Z k h0 (W 1 y 1 +W 2 y 2 +H 3 y 3 ) + α i k hg W 4 y 4 +H 6 y 6 + M d = α i 1.56(1257423.609 +2690110.981 +96666.595) + α i 0.70246631.545 + 28584 =α i 1050042.63 + 28584.25 (knm) (k hp <α i k h ) k hp α i c Z k h0 α i k hg V 0 H 0 M 0 V 0 = W 1 +W 2 +W 4 +W 5 =52266 (kn) H 0 =k hp W 1 +α i c Z k h0 (W 2 +H 3 ) +α i k hg W 4 +H 6 =1.2412574 +α i 1.56(26901+9666) +α i 0.7024663 +12550 =α i 74308.6228141.76 (kn) -116-
M 0 =k hp W 1 y 1 +α i c Z k h0 (W 2 y 2 +H 3 y 3 )+α i k hg W 4 y 4 +H 6 y 6 + M d =1.241257423.609 +α i 1.56(2690110.981+96666.595) +α i 0.70 246631.545 + 28584 =α i 586942.59396689.41 (knm) -3.2.40-117-
4) -3.2.41 12.3 a) b) 0.72 k hp = 1.24-3.2.41-118-
2 基礎の塑性化を考慮した照査水流方向に対しては 堰柱が十分に大きな耐力を有していること 門柱についても k hu > 1.5k h (1.13>1.5 0.66=0.99) であり十分大きな耐力を有することから 基礎の塑性化を考慮した照査を行う 基礎の照査にあたっては 門柱 堰柱躯体には k hf 堰柱床版には k hg に相当する慣性力を作用させる 図 -3.2.42 に示す水平震度 - 水平変位関係より 基礎が降伏に達するときの水平震度および水平変位は k hyf =0.72 δ Fy =0.0377 (m) である ここで 静水圧等により初期変位 δ 0 =0.0025 (m) が生じることを考慮すると 基礎の応答塑性率および応答変位は 式 (2.8.8)~(2.8.11) により算出することができる すなわち k hf = c D c Z k h0 = 2/3 1.0 1.56 =1.04 δ Fr = δ Fy -δ 0 = 0.0377-0.0025 = 0.0352 μ Fr = 1/2 {1+(k hf / k hyf ) 2 } = 1/2 {1+(1.04 / 0.72 ) 2 } =1.543 δ Fr = μ Fr δ Fy +δ 0 =1.543 0.0352 +0.0025 =0.0568 (m) μ Fr = δ Fr / δ Fy =0.0568 / 0.0377 =1.507 ここに r は基礎の降伏剛性に対する二次剛性の比 ( 橋脚基礎に準じて 0 としてよい ) k hf は基礎の降伏に達するときの水平震度 k hf は基礎の主たる塑性化を考慮する場合に基礎の照査に用いる水平震度 δ Fy は基礎が降伏に達するときの上部構造の慣性力作用位置における水平変位 (m) である 1.20 1.00 基礎が降伏する点 khf=1.04 0.80 khyf=0.72 水平震度 0.60 0.40 0.20 0.00 δo=2.5 δfy=37.7 δfr=56.8 水平変位 (mm) 図 -3.2.42 基礎のプッシュオーバー解析により得られた水平震度 - 水平変位関係 -119-
PHC PHC 5.2.3 1/4 2-4.2.7 PHC 1.5-3.2.46 PHC D mm 1000 Do mm 740 b mm 230 h mm 886 d mm 839 N kn 967.89 M N.m 2960.90 Ac mm2 0.3553 10 4 Ic mm4 0.0344 10 12 y mm 500 Mo N.m 187.24 CN 1.063 τc* N/mm2 1.275 Sc kn 262.15 Aw mm2 2.534 10 2 s mm 70 σsy N/mm2 345.0 Ss kn 911.43 Ps kn 1173.58 n 54 n Ps kn 63373.32 *)CcCeCPtτc=0.850 1.5=1.275(N/mm 2 )τc -120-
-3.2.47 2 Mmax kn m 2579 2283 2100 My kn m 2283 2283 1968 MmaxMy MmaxMy MmaxMy P N kn 3840 P NU kn 9358 P N P NU FL 4.000 Fr 1.507 FrFL O K F0a rad 0.02 F0 m 0.0548 F0 rad 0.0007 αf0αf0a O K Ss kn 49217.22 S kn 58709.91 kn 58709.91 nps kn 63373.32 Sc kn 14156.10 SnPs O K -121-
(4) 1) P NU R U 200 50 π / 41.0 2 1341 9194 (kn) R PU 0.85 80.010 3 0.3551275.010 3 46.010-4 30026 (kn) P NU min(r U, R PU )9194 (kn) (kn) P U +W= 134177 =1418 (kn) P PU =1275.010 3 46.010-4 = 5865 (kn) P TU =min(p U + W, P PU )=1418 (kn) K VE k HE -3.2.48-3.2.48 (m) N αe 0 (kn/m 2 ) k H (kn/m 3 ) D E η k α k k HE (kn/m 3 ) 2 1.5 5 14000 28000 22145 1 1.0 22145 3 4.0 10 28000 56000 44290 1/3 1.0 14763 4 3.5 5 14000 28000 22145 1 1.0 22145 5 3.5 20 56000 112000 88581 1 1.0 88581 6 1.4 50 140000 280000 221452 1 1.0 221452-122-
-3.2.49-3.2.49 (m) N c (kn/m 2 ) φ () δe () γ t2 (kn/m 3 ) K EP 2 1.5 5 30 8.00 1.000 3 4.0 10 27-4.5 8.00 3.035 4 0.8 5 30 8.00 1.000 2.7 5 30 8.00 1.000 5 3.5 20 30-5.00 10.00 3.505 P U (kn/m 2 ) 80.0 92.0 97.1 194.3 124.0 130.4 130.4 152.0 322.5 445.2 DE p p 1 1.50 1/3 2.50 1 1.50 1 1.50 1 2.50 P HU (kn/m 2 ) 1 120.0 138.0 80.9 161.9 186.0 195.6 195.6 228.0 806.2 1112.9 2 120.0 138.0 40.5 81.0 186.0 195.6 195.6 228.0 403.1 556.4 6 5.0 50 40-6.67 10.00 5.996 761.5 845.4 1 2.50 1903.8 2113.6 951.9 1056.8 D E =1.0-123-
2) -3.2.43 12.3 0.51 k hp = 1.24-3.2.43-124-
2 基礎の塑性化を考慮した照査液状化が生じることから 基礎の塑性化を考慮した照査を行う 基礎の照査にあたっては 門柱 堰柱躯体には k hf 堰柱床版には k hg に相当する慣性力を作用させる 図 -3.2.44 に示す水平震度 - 水平変位関係より 基礎が降伏に達するときの水平震度および水平変位は k hyf =0.51 δ Fy =0.0461m である ここで 静水圧等により初期変位 δ 0 =0.0035 (m) が生じることを考慮すると 基礎の応答塑性率および応答変位は 式 (2.8.8)~(2.8.12) により算出することができる すなわち k hf = c D c Z k h0 = 2/3 1.0 1.56 =1.04 δ Fr = δ Fy -δ 0 = 0.0461-0.0035 = 0.0426 μ Fr = 1/2 {1+(k hf / k hyf ) 2 } = 1/2 {1+(1.04 / 0.51 ) 2 } =2.579 δ Fr = μ Fr δ Fy +δ 0 =2.579 0.0426 +0.0035 =0.1133 (m) μ Fr = δ Fr / δ Fy =0.1133 / 0.0461 =2.458 ここに r は基礎の降伏剛性に対する二次剛性の比 ( 橋脚基礎に準じて 0 としてよい ) k hf は基礎の降伏に達するときの水平震度 k hf は基礎の主たる塑性化を考慮する場合に基礎の照査に用いる水平震度 δ Fy は基礎が降伏に達するときの上部構造の慣性力作用位置における水平変位 (m) である 1.20 1.00 khf=1.04 0.80 基礎が降伏する点 水平震度 0.60 khyf=0.51 0.40 0.20 0.00 δo=3.5 δfy=46.1 δfr=113.3 水平変位 (mm) 図 -3.2.44 基礎のプッシュオーバー解析により得られた水平震度 - 水平変位関係 -125-
-3.2.50 PHC -3.2.50 2 Mmax kn m 2457 2283 2080 My kn m 2283 2283 1968 MmaxMy MmaxMy MmaxMy P N kn 3133 P NU kn 9194 P N P NU FL 4.000 Fr 2.458 FrFL O K F0a rad 0.02 F0 m 0.1061 F0 rad 0.0005 αf0αf0a O K Ss kn 49217.22 S kn 47917.10 kn 47917.10 nps kn 63373.32 Sc kn 14156.10 SnPs O K -126-
(5) 2-2 1) -3.2.45-3.2.51-3.2.51 m kn.m/m kn.m/m 3.512 1546.52 3774.14 20.050 657.50 5835.61-3.2.45-127-
2) - 3.2.46 2.5 1/2-3.2.52-3.2.52 m kn kn 1.250 1617.46 3031.49 2.262 1555.48 3031.49-3.2.46-128-
3.3 3.3.1 3.2.1 3.3.2-3.3.1-129-
-3.3.1-130-
(1) 3.2 (2) 3.2 (3) (4) 3.2-3.3.2-3.3.2 (5) 3.2.1(3) -131-
3.3.3 1 (1) -3.3.3-3.3.1 3.3.321) 104 404 405 401404 702 701 110-132-
-133- -3.3.3 1
-3.3.1 EI (m) (m) (kn) i j (knm 2 ) 101 0.000 0.000 10208.349 1101 101 1101 102 0.000 1.840 2887.893 102 102 103 3.124E+09 103 0.000 3.650 3749.453 103 103 104 3.124E+09 104 0.000 4.078 3296.299 104 104 105 3.124E+09 105 0.000 5.600 2493.039 105 105 106 3.124E+09 106 0.000 7.000 2324.959 106 106 107 3.124E+09 107 0.000 8.325 2260.970 107 107 108 3.124E+09 108 0.000 9.650 1130.485 108 108 109 3.124E+09 109 0.000 10.492 3731.452 109 109 110 3.124E+09 110 0.000 11.350 5950.000 1001 301 110 201 1.375 11.350 57.024 1002 110 201 202 1.375 12.040 148.262 201 201 202 4.466E+07 203 1.375 13.079 182.476 202 202 203 4.466E+07 204 1.375 14.143 269.041 203 203 204 4.466E+07 205 1.375 15.207 190.420 204 204 205 4.466E+07 206 1.375 16.271 182.476 205 205 206 4.466E+07 207 1.375 17.310 148.262 206 206 207 4.466E+07 208 1.375 18.000 57.024 207 207 208 4.466E+07 209 1.375 18.500 208 208 209 4.466E+07 210 1.375 20.000 209 209 210 301-1.375 11.350 57.024 301 301 302 4.466E+07 302-1.375 12.040 148.262 302 302 303 4.466E+07 303-1.375 13.079 182.476 303 303 304 4.466E+07 304-1.375 14.143 269.041 304 304 305 4.466E+07 305-1.375 15.207 190.420 305 305 306 4.466E+07 306-1.375 16.271 182.476 306 306 307 4.466E+07 307-1.375 17.310 148.262 307 307 308 4.466E+07 308-1.375 18.000 57.024 308 308 309 4.466E+07 309-1.375 18.500 309 309 310 310-1.375 20.000 401 401 402 401 0.000 20.000 402 402 403 402 0.000 20.627 6104.311 403 403 404 403 0.000 22.000 404 404 405 404 0.000 24.000 1000.000 701 110 702 405 0.000 26.450 3000.000 801 309 802 702 0.000 18.180 1500.000 802 802 401 5.333E+08 802-0.500 20.000 803 401 804 5.333E+08 804 0.500 20.000 804 804 209 901 0.000-2.500 5167.969 901 901 902 902 0.000-1.250 10335.938 902 902 101-134-
-3.3.2 1 0.433(s) 1 k h k h = c Z k h0 = 1.0 0.25 = 0.25 k h0 1 1 k hg k hg = c Z k hg0 = 1.0 0.20 = 0.20 k h0 1-3.3.2 T=0.433 sec T=0.129sec T=0.075 sec 1 2 3-135-
(2) 1) K 1 K 4-3.3.3-3.3.4-3.3.3 K 1 kn/m 7.170 10 4 1.176 10 5 9.881 10 4 K 2 kn/rad 1.613 10 5 2.275 10 5 1.942 10 5 K 3 knm/m 1.613 10 5 2.275 10 5 1.942 10 5 K 4 knm/rad 6.691 10 5 7.994 10 5 7.351 10 5-3.3.4 K 1 kn/m 3.585 10 4 5.880 10 4 4.940 10 4 K 2 kn/rad 0.000 0.000 0.000 K 3 knm/m 0.000 0.000 0.000 K 4 knm/rad 0.000 0.000 0.000 (S-R) H (kn) V (kn)m (knm) δ x (m)δ y (m)α (rad.) H A xx Axy Axα δ x V = Ayx Ayy Ayα δ y M Aα x Aα y Aαα α 6 7 A xx Axy Axα 6.35 10 0 1.23 10 7 Ayx Ayy Ayα = 0 2.76 10 0 () 7 8 Aα x Aα y Aαα 1.23 10 0 5.45 10 6 7 A xx Axy Axα 5.34 10 0 1.05 10 7 Ayx Ayy Ayα = 0 2.76 10 0 () 7 8 Aα x Aα y Aαα 1.05 10 0 5.42 10-136-
2) -3.3.5-3.3.9 W i H i x i y i -3.3.5 1+ W i (kn) x i (m) y i (m) W i x i W i y i 3000 0.000 28.950 0 86850 1000 0.000 26.500 0 26500 8574 0.000 21.403 0 183509 12574 0 296855 y 1 = Σ (W i y i ) / Σ W i = 296855 / 12574 = 23.609 (m) -3.3.6 2+ W i (kn) x i (m) y i (m) W i x i W i y i 5950 0.000 13.850 0 82408 1500 0.000 20.680 0 31020 19451 0.000 8.576 0 166812 26901 0 280240 y 2 = Σ (Wy i y i ) / Σ W i = 280240 / 26901 = 10.417 (m) -3.3.7 3 H i (kn) x i (m) y i (m) W i x i H i y i 1840 6.150 11316 1559 73 6.700 3.980 7765 291 3472 19372 y 3 = Σ (H i y i ) / Σ H i = 19372 / 3472 = 5.579 (m) -137-
-3.3.8 4+ W i (kn) x i (m) y i (m) W i x i W i y i (28) 3462 0.000 3.100 0 10732 (29) 529 0.000 2.900 0 1534 (30) 20672 0.000 1.250 0 25840 24663 0 38106 y 4 = Σ (W i y i ) / Σ W i = 38106 / 24663 = 1.545 (m) -3.3.9 5 W i (kn) x i (m) y i (m) W i x i W i y i 385 0.000 0 5505 0.000 0 5580 0.000 0-23342 0.000 0-11872 0 M d -3.3.5-3.3.9 W i x i W i x i M d = 0 (knm) V (kn) H (kn) M (knm) -3.3.5-3.3.9 V = W 1 + W 2 + W 4 + W 5 = 12574 + 26901 + 24663-11872 = 52266 (kn) H = k h (W 1 + W 2 + H 3 + W 4 ) = 0.25(12574 +26901 +3472 +24663) = 16903 (kn) M = k h (W 1 y 1 + W 2 y 2 + H 3 y 3 + W 4 y 4 ) +M d = 0.25(1257423.609 +2690110.417 +34725.579 +246631.545) + 0 = 158640 (knm) -138-
3) -3.3.10 7.2.4 10mm -3.3.10 P N kn 2142 2146 Ra kn 4651 4609 P N Ra P N Ra OK OK P N kn -206-210 Pa kn -580-552 P N Ra P N Ra OK OK mm 3.37 3.89 mm 10.00 10.00 OK OK -139-
(3) 1) -3.3.1-3.3.3-3.3.11-3.3.11 101 1049.330 1049.330 102 2887.893 2887.893 103 1909.453 1909.453 104 1663.732 1663.732 105 2493.039 2493.039 106 2324.959 2324.959 107 2260.970 2260.970 108 1130.485 1130.485 109 3731.452 3731.452 201 57.024 57.024 202 148.262 148.262 203 182.476 182.476 204 269.041 269.041 205 190.420 190.420 206 182.476 182.476 207 148.262 148.262 208 57.024 57.024 301 57.024 57.024 302 148.262 148.262 303 182.476 182.476 304 269.041 269.041 305 190.420 190.420 306 182.476 182.476 307 148.262 148.262 308 57.024 57.024 402 6104.311 6104.311 405 3000.000 3000.000 404 1000.000 1000.000 702 1500.000 1500.000 110 5950.000 5950.000 104 1632.566 103 1840.000-140-
-3.3.12 (a) knm(b) kn -3.3.4-3.3.12 M S N M S N (knm) (kn) (kn) (knm) (kn) (kn) G -122947.1 10474.7 38426.3-122947.1 10474.7 38426.3 E -5754.0 8152.2 1299.7-2877.0 4076.1 649.9 F 6308.8 6496.8 1299.7 3154.4 3248.4 649.9 A C -6305.8-6504.9 1520.8 1594.2-266.8 12727.0-3152.9-3252.5 760.4 797.1-133.4 6363.5 B D 3402.0 3723.1 1226.3 1314.0-1444.7 11549.0 1701.0 1861.6 613.2 657.0-722.4 5774.5-141-
2) 7.3 1.5 7.3-3.3.13-3.3.14-3.3.13 M knm 3152.9 1701.0 3252.5 1861.6 N kn -133.4-722.4 6363.5 5774.5 S kn 760.4 613.2 797.1 657.0 b mm 2000.0 2000.0 2000.0 2000.0 h mm 1750.0 1750.0 1750.0 1750.0 d mm 1565.2 1565.2 1565.2 1565.2 mm D29 ctc 125 D29 ctc 125 D29 ctc 125 D29 ctc 125 mm D29 ctc 250 D29 ctc 250 D29 ctc 250 D29 ctc 250 46 46 46 46 A s mm 2 29550.4 29550.4 29550.4 29550.4 x mm 428.2 338.5 1298.4 1744.5 σ c 3.90 1.98 4.41 2.94 σ s N/mm 2 159.95 110.90 15.36-3.65 τ m 0.24 0.20 0.25 0.21 σ ca 12.00 12.00 12.00 12.00 σ sa N/mm 2 300.00 300.00 300.00 300.00 τ a1 0.58 0.58 0.58 0.58-3.3.14 A B C D A sreq mm 2 29550.4 29550.4 29550.4 29550.4 M u knm 7724.9 7311.6 12179.7 11784.6 M c knm 2155.7 1964.7 4155.6 3974.3 1.7M d knm 5359.9 2891.7 5529.2 3164.7 A smin mm 2 6929.4 8029.6 5720.0 5190.6 --- OK OK OK OK 1)M u M c 2)1.7MM c 3)A s 500(mm 2 ) 1)2)3)OK -142-
3) 7.3 1.5 7.3-3.3.15-3.3.16-3.3.15 G M knm 122947.1 N kn 38426.3 S kn 10474.7 b mm 11671.0 h mm 4500.0 d mm 4264.0 1 mm D32 ctc 150 2 mm --- 266 A s mm 2 211257.2 x mm 1463.0 σ c 6.61 σ s N/mm 2 199.16 τ m 0.21 σ ca 12.00 σ sa N/mm 2 300.00 τ a1 0.58-3.3.16 E A sreq mm 2 140246.6 M u knm 224448.4 M c knm 94674.1 1.7M d knm 209010.1 A smin mm 2 44555.0 --- OK 1)M u M c 2)1.7MM c 3)A s 500 (mm 2 ) 1)2)3)OK -143-
4) 7.3 1.5 7.3-3.3.17-3.3.18-3.3.17 E F M knm 2877.0 3154.4 N kn 649.9 649.9 S kn 4076.1 3248.4 b mm 2000.0 2000.0 h mm 4000.0 4000.0 d mm 3880.0 3880.0 1 mm D29 ctc 125 D29 ctc 250 2 mm --- --- 15 9 A s mm 2 9636.0 5781.6 A w mm 2 4-D19 ctc150 4-D19 ctc150 1146.0 1146.0 x mm 979.9 765.0 σ c 1.18 1.58 σ s N/mm 2 52.26 96.40 τ m 0.53 0.42 σ ca 12.00 12.00 σ sa N/mm 2 300.00 300.00 τ a1 0.58 0.58-3.3.18 E F A sreq mm 2 1491.6 1744.0 M u knm 13999.7 8951.9 M c knm 10982.9 10837.8 1.7M d knm 4890.9 5362.5 A smin mm 2 1000.0 1000.0 --- OK OK 1)M u M c 2)1.7MM c 3)A s 500 (mm 2 ) 1)2) 3) OK -144-
5) -3.3.5-3.3.19-3.3.20-3.3.21 h2-3.3.5-3.3.19 M knm -15419.43 88449.68 mm 18888 21034 mm 2500 2500 mm 2350 mm D32@250 75 2248 D35@125 168 mm 2 59565.0 160708.8 mm 426.6 612.2 σ c N/mm 2 1.73 6.72 σ s N/mm 2 117.25 269.30 σ ca N/mm 2 12.00 12.00 σ sa N/mm 2 300.00 300.00-145-
-3.3.20 mm 2 22756 143581 M u knm 47725.83 120959.07 M c knm 37651.60 41929.46 1.7M knm 26213.02 150364.46 A s mm 2 /m 3153.6 7640.4 OK OK 1)M u M c 2)1.7MM c 3)A s 500 (mm 2 ) 1)2)3)OK -3.3.21 S kn 31279.44 b mm 22500 h mm 2500 d mm 2248 a mm 2904 d mm 2248 S h kn 31279.44 τ m N/mm 2 0.618 τ a1 N/mm 2 0.350 τ a N/mm 2 0.923 τ a2 N/mm 2 2.550 S ca kn 46688.92 S h kn 0.00 S mm 250 σ sa N/mm 2 300.00 c ds 0.517 d1.15 mm 1955 A w mm 2 /m 573.0 A wreq mm 2 /m 0.0-146-
6) 2 12.9.1-3.3.6-3.3.22-3.3.6-147-
-3.3.22 (a) knm 473.27 473.27 181.62 181.62 kn 2141.68-205.91 2141.68-205.91 mm 1000 1000 1000 1000 mm 130 130 130 130 σ ce N/mm 2 10.0 10.0 4.0 4.0 σ c N/mm 2 22.28 15.99 12.50 6.02 σ c ' N/mm 2 9.19 2.90 7.32 0.84 σ c N/mm 2 40.00 40.00 40.00 40.00 σ c ' N/mm 2-5.00-5.00-3.00-3.00 (b) knm 484.53 484.53 202.91 202.91 kn 2145.54-209.77 2145.54-209.77 mm 1000 1000 1000 1000 mm 130 130 130 130 σ ce N/mm 2 10.0 10.0 4.0 4.0 σ c N/mm 2 22.44 16.14 12.81 6.31 σ c ' N/mm 2 9.04 2.74 7.03 0.53 σ c N/mm 2 40.00 40.00 40.00 40.00 σ c ' N/mm 2-5.00-5.00-3.00-3.00-148-
3.3.4 2 (1) -3.3.7-3.3.23 1 1-149-
-150- -3.3.7 2 1101-1102, 2101-2102, 2107-2108, 3101-3102, 3107-3108
-3.3.23 (m) (m) (kn) i j (knm 2 ) 101 0.000 0.000 10208.349 1101 101 1101 11011102 0.000 0.920 1102 1102 102 102 0.000 1.840 2887.893 102 102 103 2.120E+09 103 0.000 3.650 3749.453 103 103 104 2.120E+09 104 0.000 4.078 3296.299 104 104 105 2.120E+09 105 0.000 5.600 2493.039 105 105 106 2.120E+09 106 0.000 7.000 2324.959 106 106 107 2.120E+09 107 0.000 8.325 2260.970 107 107 108 2.120E+09 108 0.000 9.650 1130.485 108 108 109 2.120E+09 109 0.000 10.492 3731.452 109 109 110 2.120E+09 110 0.000 11.350 5950.000 1001 301 110 201 1.375 11.350 57.024 1002 110 201 21012102 1.375 11.695 2101 201 2101 202 1.375 12.040 148.262 2102 2102 202 203 1.375 13.079 182.476 202 202 203 1.091E+07 204 1.375 14.143 269.041 203 203 204 1.091E+07 205 1.375 15.207 190.420 204 204 205 1.091E+07 206 1.375 16.271 182.476 205 205 206 1.091E+07 207 1.375 17.310 148.262 206 206 207 1.091E+07 21072108 1.375 17.655 2107 207 2107 208 1.375 18.000 57.024 2108 2108 208 209 1.375 20.000 208 208 209 301-1.375 11.350 57.024 3101 301 3101 31013102-1.375 11.695 3102 3102 302 302-1.375 12.040 148.262 302 302 303 1.091E+07 303-1.375 13.079 182.476 303 303 304 1.091E+07 304-1.375 14.143 269.041 304 304 305 1.091E+07 305-1.375 15.207 190.420 305 305 306 1.091E+07 306-1.375 16.271 182.476 306 306 307 1.091E+07 307-1.375 17.310 148.262 3107 307 3107 31073108-1.375 17.655 3108 3108 308 308-1.375 18.000 57.024 308 308 309 309-1.375 20.000 401 401 402 401 0.000 20.000 402 402 403 402 0.000 20.627 6104.311 403 403 404 403 0.000 22.000 404 404 405 404 0.000 24.000 1000.000 701 110 702 405 0.000 26.450 3000.000 801 309 802 702 0.000 18.180 1500.000 802 802 401 5.333E+08 802-0.500 20.000 803 401 804 5.333E+08 804 0.500 20.000 804 804 209 901 0.000-2.500 5167.969 901 901 902 902 0.000-1.250 10335.938 902 902 101-151-
-3.3.24 1 0.712 (s) -2.5.1-2.5.2 5.7 2-1 k h10 2-2 k h20 k h10 = 0.85 k h20 = 1.75 c S c Z = 1.0 2-1 2-2 k h1g k h2g k h1g = c Z k h1g0 = 1.0 0.35 = 0.35 k h2g = c Z k h2g0 = 1.0 0.70 = 0.70 k h1g0 k h2g0 2-1 2-2 -2.5.1-2.5.2 5.7-3.3.24 T=0.712 sec T=0.156sec T=0.090 sec 1 2 3-152-
(2) 1) -3.3.8 1101-1102, 2101-2102, 2107-2108, 3101-3102, 3107-3108 M θ -3.3.8 2-153-
-3.3.9 N-M u M u 8) 2-1 2-2 ε cc ε cu 2-1 2-2 N-M u -3.3.9 N-M u 2-12-2-154-
L p 1/2 L p = 0.2h 0.1D = 0.690(m) (0.5D = 1.00(m) ) D (=1.75m)h 1/2 (=4.325m) 10.8-3.3.10 M θ y u 2-1 2-2 M θ BD M y = 9407(kNm)θ y = 1.17510-3 (rad) M u = 9407(kNm)θ u = 1.76610-2 (rad) AC M y = 9060 (knm)θ y = 1.16110-3 (rad) M u = 9060 (knm)θ u = 1.90110-2 (rad) EI y EI y = n {M yb / (θ yb / L p )+ M ya / (θ ya / L p ) }/ 2 = 2 {9407 / (1.17510-3 /0.690)+ 9060 / (1.16110-3 /0.690)} /2 = 1.09110 7 (knm 2 ) EI EI = 2.50010 7 21.333 = 5.33310 8 (knm 2 ) -155-
-3.3.10-156-