3-1. 1) 1-1) =10.92m =18.20m m 2 6,480 3, =30 30kN/m 2 Z=0.9
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1
2 3-1. 1) 1-1) =10.92m =18.20m m 2 6,480 3, =30 30kN/m 2 Z=0.9
3 1-2) G1 G2 G3 G4
4 1-3) G1 G2 H3
5 1-4) t =
6 2) 2-1) No ( )
7 2) 2-1) P632 N/ 2 (N/ 2 ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )
8 2) 2-2) SD-295A (Fc) Fc=21 N/ 2 (N/ 2 ) (N/ 2 ) fc ft fs fc ft fs SD-295A Fc= ) No ( ) ( ) 1 JAS () N
9 2) 2-4) No ( ) ( ) ( ) R7 () N / No ( ) 1 H3 Z 700 ( ) ( ) H
10 3-2. 1) 1-1) 82 P617 G+P G+P G+P+0.7S G+P+S G+P+S G+P+W G+P+W G+P+0.35S+W P G+P+K G+P+0.35S+K G84 P85 S86 W87 K88
11 1-2) 84 P618 (N/ ) 640 (100+10xl) l = (l: (m)) ( 2m) N/ / x 3 84
12 1-3) W (N/ ) ( ) 4.5/ x = N/ 1/cosθ=1.097 ( ) 4.5/ x = 702 1/cosθ=1.097 ( 2m N/ ( ) 4.5/ x = /cosθ= N/ () 4.5/ x = 702 1/cosθ= / x = 164 ( 2m N/
13 1-3) W (N/ ) N/ N/ N/ N/ N/ N/
14 1-4) 85 P ) N/ / 600N/ P44 (N/m 2 ) cosθ = 1.0/ / cosθ = = = μ b x h s (cm)x (N/cm/m 2 ) μ b ( = cos(1.5β) ) β h s (cm)
15 1-6)
16 1-6)
17 1-7) (kn) FL FL 1/2 (kn) ( ) ( ) () ()
18 1FL+1350 /2
19 1-8) (N/ ) ( ) W o (kn) W i (kn) (N/ ) Y Y Y ( ) W o (kn) W i (kn) Σw i (kn)
20 Σwi W o W i W o W i (kn) (N/ ) ( ) (kn) (kn) (N/ ) ( ) (kn) (kn) X X X X X
21 x = (m) Qi (kn) = Ci x Σwi x x = (m) Qw (kn) = Aw x q x Cf x x X Y X Y
22 Q a4 K 4 Q E4 Q E Q a3 Q a2 K 3 K 2 Q E3 Q E2 Q a1 K 1 Q E1 Q E1 = Q E x K 1 / ΣK i Q a1 / Q E1 1.0
23 2) 2-1) Q w = A w x q x C f A w P620 P636 q q = 0.6E V 2 o E = E r2 G f E r G f H Z b E r = 1.7( Z b / Z G ) α H Z b E r = 1.7( H / Z G ) α H C f C f = 0.8K z Z Z b K z = ( Z b / H ) 2α Z Z b K z = ( Z / H ) 2α H Z b K z = 1.0
24 2) 2-1) Q w = A w x q x C f H(m) Z G (m) Z b (m) G f E r E V o q(n/m 2 ) H = ( )/2 = 5.140m ()/2 E r = 1.7 x ( / 450 ) 0.2 = H(=5.14) Z b (=5) E r = 1.7 x (H/Z G ) α E = x 2.5 = E = E r2 x G f q = 0.6 x x 32 2 = N/m 2 q = 0.6 x E x V o Z b (m) Z G (m) α G f (H 10) V o (m/s)
25 E Vo P636 Z b (m) Z G (m) α 13m 1,500m 500m 13m 200m 31m
26 2-2) 88 Q i = C i x Σw i P620 Σw i C i C i = Z x Rt x A i x Co Z Z = RtRt = m A i A i = 1 + ( 1/ α i α i ) x 2T / ( 1 + 3T ) α i / T T = 0.03 x h Co Co = 0.20
27 2-2) Q i = C i x Σw i w i (kn) Σw i (kn) α i A i C i E Q i (kn) E Q i (kn) α 1 = w 1 / Σw i = / = A 1 = 1 + ( 1/ 1 1 ) x 2T / ( 1 + 3T ) = T = 0.03 x = 0.199s (h = 6.637m) C 1 = 0.9 x 1.0 x x 0.20 = Co = 0.20 Q 1 = x = kn
28 (cm) ェッ ) (mm) 6480 (mm) 3800 (m 2 ) (cm/m 2 ) (cm/m 2 ) (m 2 ) (cm) (cm) n (cm) d d / n (cm) OK OK OK OK
29 19.25 x x x 2.75 / ( ) x / x
30 2) 2-1) d i C i α i I i α i I i P i (kn) K (kn/rad) ΣP i ΣK Y1 X1-X X2-X X4-X X7-X X8-X X10-X X11-X X13-X Y7 X1-X X4-X X7-X X10-X X13-X
31 2-1) d i C i α i I i α i I i P i (kn) K (kn/rad) ΣP i ΣK Y10 X1-X X3-X X4-X X5-X X7-X X8-X X10-X X11-X X13-X L d = C i α i I i m L d m Pi (kn) = αiii x K (kn/rad) = Pi x
32 C i α i I i α i I i P i (kn) K (kn/rad) X1 Y1-Y Y3-Y Y8-Y Y9-Y X4 Y7-Y Y9-Y X8 Y1-Y Y2-Y Y7-Y Y9-Y X11 Y1-Y Y9-Y X14 Y1-Y Y3-Y Y4-Y Y8-Y Y9-Y L d = ΣP i ΣK
33 2-2) P640 =4.5 θ = = 0.14 = C f = 0.14 (-0.50) = 0.64 C f = 0.8K z Z Z b K z = ( Z b / H ) 2α Z b = 4.5m H = 5.14m K z = (4.5/5.14) 2x0.2 = C f = 0.8 x = 1.19
34 2-2) Z q C f A w w Q w Q i Σ w Q i 1 Y Y Y wq = q x C f x A w w Q 1 = (N/m 2 ) x 1.19 x 0.34 (m 2 ) = 0.30(kN)
35 Z q C f A w wq w Q i Σ w Q i 1 X X X X X
36 2-3) K i K ij Q aij α ij Q Ei Q Eij α ij Q Wi Q Wi j Y OK Y OK Y OK QEi x (Kij/Ki) x αij = x (8026.2/ ) x = K i i (kn/rad) K ij i j ( kn/rad) Q aij i j ( kn) α ij i j Q Ei i (kn) Q Eij = Q Ei x (K ij /K i ) x α ij Q Wi i (kn) Q Wij = Q Wi x (K ij /K i ) x α ij Ce 0.15 Ce = ) Ce = α 1 1 2) Ce = /3 x
37 2-3) K i K ij Q aij α ij Q Ei Q Eij α ij Q Wi Q Wij X X X X X
38 3) 3-1) = L x 0.6 = 5.46 x 4.55 = = 10 = 2.49 =
39 3) 3-1) 1 = 1.96kN/m No (m) (m) (m) (m) a(kn) Y1 - Y7 (1) H H H H R / = x 18.20m x 1.96kN/m = ( x 1.96 = 42.10) Y7 - Y10 (2) H H H H R
40 No (m) (m) (m) (m) a(kn) X1-X4 (1) H3- H3- R7 X4-X8 (2) H3- H3- R7 X8-X11 (3) H3- H3- R7 X11-X14 (4) H3- H3- R7
41 3) P75-79 No Qa (m) Qa(kN) ΣQa(kN) (m) a(kn) Y1 - Y7 (1) H H H H R Y7 - Y10 (2) H H H H R
42 P75-79 No Qa (m) Qa(kN) ΣQa(kN) (m) a(kn) X1-X4 (1) H H R X4-X8 (2) H H R X8-X11 (3) H H R X11-X14 (4) H H R
43 3) 3-2) Q V ij ik-1,k α ij-1,j W ij-1,j w ij-1,j Q aik-1,k α ij C' i W ij V i+1,j P ij Q ik,k-1 Y OK Y OK OK Y OK V ij = x (/Σ) = x (53.51/133.77) = P ij = α ij x C i x W ij + V i+1,j = 1.0 x x =4.79 W ij-1,j = 1-8) W i w ij-1,j = W ij-1,j x C i x α ij-1,j = x x = Q ik-1,k = V ij P ij = = Q ik,k-1 = V ij P ij w ij-1,j = = 0.39 Q aik-1,k : 3-1) 2-1)
44 3-2) Q ik-1,k = V ij P ij Q ik,k-1 = V ij P ij w ij-1,j w ij-1,j = W ij-1,j x C i x α ij-1,j Q aik-1,k : 3-1) Q V ik-1,k ij α ij-1,j W ij-1,j w ij-1,j Q aik-1,k α ij C' i W ij V i+1,j P ij Q ik,k-1 X / = OK X OK X X X W ij-1,j = 1-8) W i
45 3-3) Q V ij ik-1,k α ij-1,j W ij-1,j w ij-1,j Q aik-1,k α ij W ij V i+1,j P ij Q ik,k-1 Y OK Y OK OK Y OK V ij = x (/Σ) = x (53.51/133.77) = ) P ij = α ij x W ij + V i+1,j = 1.0 x = 0.30 W ij-1,j = 2-2) w Q + = = w ij-1,j = W ij-1,j x α ij-1,j = x = Q ik-1,k = V ij P ij = = Q ik,k-1 = V ij P ij w ij-1,j = = Q aik-1,k : 3-1)
46 3-3) Q ik-1,k = V ij P ij Q ik,k-1 = V ij P ij w ij-1,j w ij-1,j = W ij-1,j x α ij-1,j Q aik-1,k : 3-1) Q V ik-1,k ij α ij-1,j W ij-1,j w ij-1,j Q aik-1,k α ij W ij V i+1,j P ij Q ik,k-1 X / = OK X OK X X X W ij-1,j = 2-2) Y w Q = = 12.68
47 4)
48 4) Vs Vs = α( ) x 1.96(kN/m) x H() P68-74 Vτ Vs Vτ = Vs x β + Vs x β VL Va Vs Vτ = Vs + Vs x β VL Va β 0.5( = 0.8) VL (kn) Va (kn)
49
50 α = 2.5 H() = 3.14m Vs = 2.5 x 1.96 x 3.14 = kn X1 +) Vτ = x = 8.83 kn -) Vτ = = kn X3 +) Vτ = = kn -) Vτ = x = kn
51 X1 +) Vτ = x = 8.83 kn -) Vτ = = kn β s X1 Y1 X2 Y1 X7 Y1 X8 Y1 s*β L α τ kN OK OK OK OK
52 (kn) C L L (CN65) T V T 6.2 (CN65) 5 2.3V 9 (CN90) 4 P s HD10 10kN HD15 15kN HD20 20kN HD25 25kN HD30 30kN
53 5) 3kN 7.5kN
54 5-1) P87 M o (kn m) M o = w x L2 8 Q(kN) Q = w x L 2 C(=T)(kN) (kn/m) Q = Q D α = Q P 0 (=1.96kN/m) C = T = M o D = C (=5.3kN) D (m) L (m)
55 Ta (kn) (1) (2) (3) (4) (5) (6) L () 23.3KN
56 18.20m 5.46m 10.92m = 76.02kN w = 76.02kN / 10.92m = 6.96 kn/m
57 M o = w x L 2 / 8 = 6.96 x / 8 = kn m Q = w x L / 2 = 6.96 x 5.46 / 2 = kn Q = Q / D = / 18.2 = 1.04 kn/m α = Q / P 0 = 1.04 / 1.96 = 0.53 C(T) = M o / D = / 18.2 = 1.43 kn = = C / = 1.43 / 5.30 = 0.27
58 18.20m 4.55m 10.92m = 76.02kN w = 76.02kN / m = kn/m
59 M o = w x L 2 / 8 = x 2 / 8 = kn m Q = w x L / 2 = x / 2 = kn Q = Q / D = / = kn/m α = Q / P 0 = / 1.96 = C(T) = M o / D = / = kn = = C / = / 5.30 =
60 6) 6-1) 200
61 3m2m
62 6-2) 10kN M x 105 M12Ld( ) Ld 2400/Ta 300 Ta (kn) 2400 (kn)
63 6-3) M kN 360 M16 25kN 35.5kN kN 11.7kN 25.6kN 4.5mm 40mm 6.0mm 54mm 9.0mm 80mm (M12Pa M16Pa) Fc 23.4N/ 2 Fc 18.0N/ 2 a (kn) M M M M
64 6-4) Qa (kn) Ta (kn) (kn) M12 Qa (kn) ΣQa (kn) Y OK Y OK Y OK M12 Qa (kn) ΣQa (kn) X OK X OK X OK X OK X OK
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9118 154 B-1 B-3 B- 5cm 3cm 5cm 3m18m5.4m.5m.66m1.3m 1.13m 1.134m 1.35m.665m 5 , 4 13 7 56 M 1586.1.18 7.77.9 599.5.8 7 1596.9.5 7.57.75 684.11.9 8.5 165..3 7.9 87.8.11 6.57. 166.6.16 7.57.6 856 6.6.5
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C L C L 4.5m 3.0m 10% 25% 50% 90% 75% 50% N N N 90% 90% 10% 10% 100 100 10 10 10% 10% :49kN :17 :17kN CBR CBR CBR 5 3,000 / 3,000 /mm /mm 1.2mm 89dB 190dB 3,000 3,000 /mm 20% 20%
(1) 1.1
1 1 1.1 1.1.1 1.1 ( ) ( ) ( ) { ( ) ( ) { ( ) ( ) { ( ) ( ) { ( ) ( ) { ( ) ( ) ( ) ( ) ( ) 2 1 1.1.2 (1) 1.1 1.1 3 (2) 1.2 4 1 (3) 1.3 ( ) ( ) (4) 1.1 5 (5) ( ) 1.4 6 1 (6) 1.5 (7) ( ) (8) 1.1 7 1.1.3
1.500 m X Y m m m m m m m m m m m m N/ N/ ( ) qa N/ N/ 2 2
1.500 m X Y 0.200 m 0.200 m 0.200 m 0.200 m 0.200 m 0.000 m 1.200 m m 0.150 m 0.150 m m m 2 24.5 N/ 3 18.0 N/ 3 30.0 0.60 ( ) qa 50.79 N/ 2 0.0 N/ 2 20.000 20.000 15.000 15.000 X(m) Y(m) (kn/m 2 ) 10.000
cm H.11.3 P.13 2 3-106-
H11.3 H.11.3 P.4-105- cm H.11.3 P.13 2 3-106- 2 H.11.3 P.47 H.11.3 P.27 i vl1 vl2-107- 3 h vl l1 l2 1 2 0 ii H.11.3 P.49 2 iii i 2 vl1 vl2-108- H.11.3 P.50 ii 2 H.11.3 P.52 cm -109- H.11.3 P.44 S S H.11.3
研修コーナー
l l l l l l l l l l l α α β l µ l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l
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1 1 1.1 1.1.1 (1) 1.1 1.2 1.1 (kn/m 3 ) 77 71 24.5 23 21 8.0 22.5 2 1 1.2 N/m 2 2 m 3 m 2000 2200 2500 3000 (2) 1 A B B 1.3 1.5 1.1 T cm 1.1 3 1.3 L m L 4 L > 4 1.0 L 32 + 7 8 1.2 T 4 1 2 5.0 kn/m 2 3.
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- k k k = y. k = ky. y du dx = ε ux ( ) ux ( ) = ax+ b x u() = ; u( ) = AE u() = b= u () = a= ; a= d x du ε x = = = dx dx N = σ da = E ε da = EA ε A x A x x - σ x σ x = Eε x N = EAε x = EA = N = EA k =
http://www.ike-dyn.ritsumei.ac.jp/ hyoo/wave.html 1 1, 5 3 1.1 1..................................... 3 1.2 5.1................................... 4 1.3.......................... 5 1.4 5.2, 5.3....................
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(1.2) T D = 0 T = D = 30 kn 1.2 (1.4) 2F W = 0 F = W/2 = 300 kn/2 = 150 kn 1.3 (1.9) R = W 1 + W 2 = = 1100 N. (1.9) W 2 b W 1 a = 0
1 1 1.1 1.) T D = T = D = kn 1. 1.4) F W = F = W/ = kn/ = 15 kn 1. 1.9) R = W 1 + W = 6 + 5 = 11 N. 1.9) W b W 1 a = a = W /W 1 )b = 5/6) = 5 cm 1.4 AB AC P 1, P x, y x, y y x 1.4.) P sin 6 + P 1 sin 45
66 σ σ (8.1) σ = 0 0 σd = 0 (8.2) (8.2) (8.1) E ρ d = 0... d = 0 (8.3) d 1 NN K K 8.1 d σd σd M = σd = E 2 d (8.4) ρ 2 d = I M = EI ρ 1 ρ = M EI ρ EI
65 8. K 8 8 7 8 K 6 7 8 K 6 M Q σ (6.4) M O ρ dθ D N d N 1 P Q B C (1 + ε)d M N N h 2 h 1 ( ) B (+) M 8.1: σ = E ρ (E, 1/ρ ) (8.1) 66 σ σ (8.1) σ = 0 0 σd = 0 (8.2) (8.2) (8.1) E ρ d = 0... d = 0 (8.3)
読めば必ずわかる 分散分析の基礎 第２版
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I II III IV V
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
1 911 9001030 9:00 A B C D E F G H I J K L M 1A0900 1B0900 1C0900 1D0900 1E0900 1F0900 1G0900 1H0900 1I0900 1J0900 1K0900 1L0900 1M0900 9:15 1A0915 1B0915 1C0915 1D0915 1E0915 1F0915 1G0915 1H0915 1I0915
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9 O y O ( O ) O (O ) 3 y O O v t = t = 0 ( ) O t = 0 t r = t P (, y, ) r = + y + (t,, y, ) (t) y = 0 () ( )O O t (t ) y = 0 () (t) y = (t ) y = 0 (3) O O v O O v O O O y y O O v P(, y,, t) t (, y,, t )
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NETES No.CG V
1 2006 6 NETES No.CG-050001-V 2007 5 2 1 2 1 19 5 1 2 19 8 2 i 1 1 1.1 1 1.2 2 1.3 2 2 3 2.1 3 2.2 8 3 9 3.1 9 3.2 10 3.3 13 3.3.1 13 3.3.2 14 3.3.3 14 3.3.4 16 3.3.5 17 3.3.6 18 3.3.7 21 3.3.8 22 3.4
土木工事共通仕様書（その２）
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e a b a b b a a a 1 a a 1 = a 1 a = e G G G : x ( x =, 8, 1 ) x 1,, 60 θ, ϕ ψ θ G G H H G x. n n 1 n 1 n σ = (σ 1, σ,..., σ N ) i σ i i n S n n = 1,,
01 10 18 ( ) 1 6 6 1 8 8 1 6 1 0 0 0 0 1 Table 1: 10 0 8 180 1 1 1. ( : 60 60 ) : 1. 1 e a b a b b a a a 1 a a 1 = a 1 a = e G G G : x ( x =, 8, 1 ) x 1,, 60 θ, ϕ ψ θ G G H H G x. n n 1 n 1 n σ = (σ 1,
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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
29 4 ... 1... 1... 1... 2... 3... 4.... 4... 4... 7... 8... 8... 8... 8...12...14...14...14...16...18...18...19...21... 42...42...42....42....46....49...51....51....51... 52...52...52...53 I. I. I. I.
PowerPoint プレゼンテーション
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dvipsj.8449.dvi
9 1 9 9.1 9 2 (1) 9.1 9.2 σ a = σ Y FS σ a : σ Y : σ b = M I c = M W FS : M : I : c : = σ b
64 3 g=9.85 m/s 2 g=9.791 m/s 2 36, km ( ) 1 () 2 () m/s : : a) b) kg/m kg/m k
63 3 Section 3.1 g 3.1 3.1: : 64 3 g=9.85 m/s 2 g=9.791 m/s 2 36, km ( ) 1 () 2 () 3 9.8 m/s 2 3.2 3.2: : a) b) 5 15 4 1 1. 1 3 14. 1 3 kg/m 3 2 3.3 1 3 5.8 1 3 kg/m 3 3 2.65 1 3 kg/m 3 4 6 m 3.1. 65 5
a a b a b c d e R c d e A a b e a b a b c d a b c d e f a M a b f d a M b a b a M b a M b M M M R M a M b M c a M a R b A a b b a CF a b c a b a M b a b M a M b c a A b a b M b a A b a M b C a M C a M
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( 9:: 3:6: (k 3 45 k F m tan 45 k 45 k F m tan S S F m tan( 6.8k tan k F m ( + k tan 373 S S + Σ Σ 3 + Σ os( sin( + Σ sin( os( + sin( os( p z ( γ z + K pzdz γ + K γ K + γ + 9 ( 9 (+ sin( sin { 9 ( } 4
128 3 II S 1, S 2 Φ 1, Φ 2 Φ 1 = { B( r) n( r)}ds S 1 Φ 2 = { B( r) n( r)}ds (3.3) S 2 S S 1 +S 2 { B( r) n( r)}ds = 0 (3.4) S 1, S 2 { B( r) n( r)}ds
127 3 II 3.1 3.1.1 Φ(t) ϕ em = dφ dt (3.1) B( r) Φ = { B( r) n( r)}ds (3.2) S S n( r) Φ 128 3 II S 1, S 2 Φ 1, Φ 2 Φ 1 = { B( r) n( r)}ds S 1 Φ 2 = { B( r) n( r)}ds (3.3) S 2 S S 1 +S 2 { B( r) n( r)}ds
limit&derivative
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