3-1. 1) 1-1) =10.92m =18.20m m 2 6,480 3, =30 30kN/m 2 Z=0.9

Similar documents
untitled

untitled


(1) 1.1

1.500 m X Y m m m m m m m m m m m m N/ N/ ( ) qa N/ N/ 2 2

cm H.11.3 P

研修コーナー

パーキンソン病治療ガイドライン2002

(1) (kn/m 3 )

untitled

豪雨・地震による土砂災害の危険度予測と 被害軽減技術の開発に向けて


untitled

(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

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

読めば必ずわかる 分散分析の基礎 第2版

第90回日本感染症学会学術講演会抄録(I)

Q & A Q A p

2 3 4 q w e 1


Ł\”ƒ-2005

I II III IV V


O x y z O ( O ) O (O ) 3 x y z O O x v t = t = 0 ( 1 ) O t = 0 c t r = ct P (x, y, z) r 2 = x 2 + y 2 + z 2 (t, x, y, z) (ct) 2 x 2 y 2 z 2 = 0

v v = v 1 v 2 v 3 (1) R = (R ij ) (2) R (R 1 ) ij = R ji (3) 3 R ij R ik = δ jk (4) i=1 δ ij Kronecker δ ij = { 1 (i = j) 0 (i

NETES No.CG V

土木工事共通仕様書(その2)


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,,

untitled

syougai


PowerPoint プレゼンテーション

untitled

dvipsj.8449.dvi

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


m 3 /s

untitled

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

limit&derivative

3.300 m m m m m m 0 m m m 0 m 0 m m m he m T m 1.50 m N/ N

0.45m1.00m 1.00m 1.00m 0.33m 0.33m 0.33m 0.45m 1.00m 2


) a + b = i + 6 b c = 6i j ) a = 0 b = c = 0 ) â = i + j 0 ˆb = 4) a b = b c = j + ) cos α = cos β = 6) a ˆb = b ĉ = 0 7) a b = 6i j b c = i + 6j + 8)

1 y(t)m b k u(t) ẋ = [ 0 1 k m b m x + [ 0 1 m u, x = [ ẏ y (1) y b k m u

LLG-R8.Nisus.pdf

8 300 mm 2.50 m/s L/s ( ) 1.13 kg/m MPa 240 C 5.00mm 120 kpa ( ) kg/s c p = 1.02kJ/kgK, R = 287J/kgK kPa, 17.0 C 118 C 870m 3 R = 287J

c 2009 i

橡博論表紙.PDF

untitled

untitled

Microsoft Word - CTCWEB講座(4章照査)0419.doc

genron-7



he T N/ N/

The Physics of Atmospheres CAPTER :

ρ ( ) sgv + ρwgv γ sv + γ wv γ s + γ w e e γ ρ g s s γ s ( ) + γ w( ) Vs + V Vs + V + e + e + e γ γ sa γ e e n( ) + e γ γ s ( n) + γ wn γ s, γ w γ γ +

Note.tex 2008/09/19( )

Part () () Γ Part ,

1


untitled

(1)基礎の設計に関する基本事項

広報あぐい 2016年5月15日号

B. 41 II: 2 ;; 4 B [ ] S 1 S 2 S 1 S O S 1 S P 2 3 P P : 2.13:

V(x) m e V 0 cos x π x π V(x) = x < π, x > π V 0 (i) x = 0 (V(x) V 0 (1 x 2 /2)) n n d 2 f dξ 2ξ d f 2 dξ + 2n f = 0 H n (ξ) (ii) H

[1.1] r 1 =10e j(ωt+π/4), r 2 =5e j(ωt+π/3), r 3 =3e j(ωt+π/6) ~r = ~r 1 + ~r 2 + ~r 3 = re j(ωt+φ) =(10e π 4 j +5e π 3 j +3e π 6 j )e jωt

1. 1 A : l l : (1) l m (m 3) (2) m (3) n (n 3) (4) A α, β γ α β + γ = 2 m l lm n nα nα = lm. α = lm n. m lm 2β 2β = lm β = lm 2. γ l 2. 3

tnbp59-21_Web:P2/ky132379509610002944

untitled

日本内科学会雑誌第97巻第7号

B

85 4

µµ InGaAs/GaAs PIN InGaAs PbS/PbSe InSb InAs/InSb MCT (HgCdTe)

untitled


1

1 1 3 ABCD ABD AC BD E E BD 1 : 2 (1) AB = AD =, AB AD = (2) AE = AB + (3) A F AD AE 2 = AF = AB + AD AF AE = t AC = t AE AC FC = t = (4) ABD ABCD 1 1



untitled

日本内科学会雑誌第98巻第4号

Microsoft Word - 部材規格追記 doc

N/m f x x L dl U 1 du = T ds pdv + fdl (2.1)


_0212_68<5A66><4EBA><79D1>_<6821><4E86><FF08><30C8><30F3><30DC><306A><3057><FF09>.pdf

1- 擁壁断面の形状 寸法及び荷重の計算 ( 常時 ) フェンス荷重 1 kn/m 1,100 0 上載荷重 10 m kn/ 3, (1) 自重 地表面と水平面とのなす角度 α=0.00 壁背面と鉛直面とのなす角度 θ=.73 擁壁

untitled

2 x x, y, z x,, z F c : x x x cos y sin z z 8 F F F F F x x x F x x F 9 F c J Fc J Fc x x x y y y cos sin 0 sin cos 0 0 0, J Fc 0 J Fc t x /x J Fc,, z

弾性定数の対称性について

微分積分 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 初版 1 刷発行時のものです.


取扱説明書 [F-12C]

( )

( ) e + e ( ) ( ) e + e () ( ) e e Τ ( ) e e ( ) ( ) () () ( ) ( ) ( ) ( )

untitled

x x x 2, A 4 2 Ax.4 A A A A λ λ 4 λ 2 A λe λ λ2 5λ + 6 0,...λ 2, λ 2 3 E 0 E 0 p p Ap λp λ 2 p 4 2 p p 2 p { 4p 2 2p p + 2 p, p 2 λ {

抄録/抄録1    (1)V

Transcription:

3-1. 3-2. 3-3.

3-1. 1) 1-1) =10.92m =18.20m 198.74m 2 6,480 3,800 4.5 =30 30kN/m 2 Z=0.9

1-2) G1 G2 G3 G4

1-3) G1 G2 H3

1-4) t = 12 2.5

2) 2-1) No ( ) 1 120 120 2 120 120 3 120 180 360 4 120 150 210 5 120 210 6 120 150 7 120 150 8 120 120 9 120 150 10 45 75 11 120 120

2) 2-1) 121452 P632 N/ 2 (N/ 2 ) 23.40 17.40 28.80 2.10 7.80 11000 8.58 6.38 10.56 0.77 2.86 11000 ( ) 12.48 9.28 15.36 1.12 4.16 11000 ( ) 15.60 11.60 19.20 1.40 5.20 11000 18.00 13.80 22.20 1.80 6.00 7000 6.60 5.06 8.14 0.66 2.20 7000 ( ) 9.60 7.36 11.84 0.96 3.20 7000 ( ) 12.00 9.20 14.80 1.20 4.00 7000 18.00 10.80 18.00 1.80 6.00 7000 6.60 3.96 6.60 0.66 2.20 7000 ( ) 9.60 5.76 9.60 0.96 3.20 7000 ( ) 12.00 7.20 12.00 1.20 4.00 7000 17.70 13.50 22.20 1.80 6.00 7000 6.49 4.95 8.14 0.66 2.20 7000 ( ) 9.44 7.20 11.84 0.96 3.20 7000 ( ) 11.80 9.00 14.80 1.20 4.00 7000

2) 2-2) SD-295A (Fc) Fc=21 N/ 2 (N/ 2 ) (N/ 2 ) fc ft fs fc ft fs SD-295A 196 196 195 295 295 295 Fc=21 7.00-0.70 14.00-1.05 2-3) No ( ) ( ) 1 JAS () 12.00 51 894 N50 150 2.50

2) 2-4) No ( ) ( ) ( ) R7 () 12.00 N50 150 455 45/100 0.70 No ( ) 1 H3 Z 700 ( ) ( ) H3 2.50 150 0.60 3.75 150 0.36

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

1-2) 84 P618 (N/ ) 640 (100+10xl) l = 10.92 209 (l: (m)) ( 2m) 50 9 150 200 150 9.5 12 30 150 12 80 600 200N/ / x 3 84

1-3) W (N/ ) ( ) 4.5/10 640 x 1.097 = 702 702 N/ 1/cosθ=1.097 ( ) 4.5/10 640 x 1.097 = 702 1/cosθ=1.097 ( 2m 50 752 N/ ( ) 4.5/10 640 x 1.097 = 702 209 1/cosθ=1.097 150 1061 N/ () 4.5/10 640 x 1.097 = 702 1/cosθ=1.097 4.5/10 150 x 1.097 = 164 ( 2m 50 916 N/

1-3) W (N/ ) 1 200 150 150 500 N/ 2 200 150 12 80 430 N/ 1 150 150 150 450 N/ 2 150 150 12 80 380 N/ 3 12 80 150 12 80 310 N/ 30 600 600 N/

1-4) 85 P619 2900 1800 800 2300 2100 800 7800 6900 4900 1800 1300 600 1-5) 86 30 20N/ / 600N/ P44 (N/m 2 ) 1.097 4.5 1.0 cosθ = 1.0/1.097 1 / cosθ = 1.097 = 1.077 0.45 = μ b x h s (cm)x (N/cm/m 2 ) μ b ( = cos(1.5β) ) β h s (cm)

1-6) 702 702 702 600 702 1302 702 752 752 752 600 752 1352 752 1061 1061 1061 600 1061 1661 1061 916 916 916 600 916 1516 916

1-6) 1 500 500 500 2 430 430 430 1 450 450 450 2 380 380 380 3 310 310 310 600 600 600 600 600 600 2900 2900 1800 1800 3500 4100 2400 3000 600 600 600 600 600 600 7800 7800 6900 6900 8400 9000 7500 8100

1-7) (kn) 1 210.84 33.45 60.88 32.76 337.94 FL FL 1/2 (kn) 1 210.84 33.45 95.85 65.52 405.67 ( ) 330.12 ( ) 35.88 () 527.36 124.22 0.60 1.80 2.40 298.13 74.53 0.60 6.90 7.50 558.98 857.11 () 1262.78 1384.47

1FL+1350 /2

1-8) (N/ ) ( ) W o (kn) W i (kn) (N/ ) Y1 - - - - 1.0 916 12.51 11.46 1061 99.37 105.43 1 500 23.55 11.78 916 5.74 5.26 2 430 7.85 3.38 0.5 1 500 32.25 16.13 2 430 26.61 96.69 Y7 1 450 9.42 4.24 1 450 9.42 4.24 2 380 18.84 7.16 0.5 2 380 7.85 2.98 3 310 6.28 1.95 140.16 3 310 7.85 2.43 1061 99.37 105.43 916 5.74 5.26 1 500 16.13 8.07 0.5 2 430 16.13 6.94 9.66 147.47 Y10 1 450 9.42 4.24 916 12.51 11.46 2 380 9.42 3.58 0.5 1 500 15.70 7.85 3 310 6.28 1.95 135.46 2 430 15.70 6.75 - - - - 1.0 26.06 93.79 275.62 62.33 337.95 ( ) W o (kn) W i (kn) Σw i (kn)

Σwi W o W i W o W i (kn) (N/ ) ( ) (kn) (kn) (N/ ) ( ) (kn) (kn) X1 - - - - 1.0 916 6.42 5.88 1061 49.69 52.72 0.5 1 500 16.13 8.07 916 5.92 5.42 2 430 16.13 6.94 1 500 7.85 3.93 2 430 7.85 3.38 20.88 55.59 X4 1 450 0.5 1 450 2 380 7.85 2.98 2 380 9.42 3.58 3 310 3.14 0.97 69.40 3 310 1061 49.69 52.72 0.5 916 5.92 5.42 1 500 2 430 15.70 6.75 3.58 73.41 X8 1 450 0.5 1 450 0.00 2 380 2 380 18.84 7.16 3 310 17.27 5.35 70.25 3 310 1061 49.69 52.72 0.5 916 5.92 5.42 1 500 15.70 7.85 2 430 7.16 75.64 X11 1 450 1.57 0.71 0.5 1 450 18.84 8.48 2 380 2 380 3 310 66.70 3 310 1061 49.69 52.72 0.5 916 5.92 5.42 1 500 15.70 7.85 2 430 8.48 76.59 X14 1 450 7.85 3.53 0.5 916 6.42 5.88 2 380 1 500 32.25 16.13 3 310 69.53 2 430 - - - - 1.0 22.01 56.77 275.89 62.11 337.99

x = (m) Qi (kn) = Ci x Σwi x x = (m) Qw (kn) = Aw x q x Cf x x X Y X Y

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

2) 2-1) 87 121454 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 + 0.4 Z Z b K z = ( Z b / H ) 2α Z Z b K z = ( Z / H ) 2α H Z b K z = 1.0

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 ) 5.140 450 5 0.2 2.5 0.695 1.208 32 741.98 H = (6.480 + 3.800)/2 = 5.140m ()/2 E r = 1.7 x ( 5.140 / 450 ) 0.2 = 0.695 H(=5.14) Z b (=5) E r = 1.7 x (H/Z G ) α E = 0.695 2 x 2.5 = 1.208 E = E r2 x G f q = 0.6 x 1.208 x 32 2 = 741.98 N/m 2 q = 0.6 x E x V o 2 12 1454 Z b (m) Z G (m) α G f (H 10) V o (m/s) 5 450 0.20 2.5 32

121454 E Vo P636 Z b (m) Z G (m) α 13m 1,500m 500m 13m 200m 31m 5 250 0.10 5 350 0.15 5 450 0.20 10 550 0.27

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 = 0.9 551793 RtRt = 1.0 13m 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

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) 2 - - - - - - - - 1 337.94 337.94 1.000 1.000 0.180 60.83 1.25 76.04 α 1 = w 1 / Σw i = 337.94 / 337.94 = 1.000 A 1 = 1 + ( 1/ 1 1 ) x 2T / ( 1 + 3T ) = 1.000 T = 0.03 x 6.637 = 0.199s (h = 6.637m) C 1 = 0.9 x 1.0 x 1.000 x 0.20 = 0.180 Co = 0.20 Q 1 = 0.180 x 337.94 = 60.83 kn

(cm) 2981.16 4968.60 4497.00 4497.00 ェッ 3-3. 1) (mm) 6480 (mm) 3800 (m 2 ) 198.74 198.74 (cm/m 2 ) 15.00 25.00 39.30 39.30 89.94 89.94 (cm/m 2 ) 50.00 50.00 (m 2 ) (cm) 1965.00 1965.00 (cm) 2981.16 4968.60 n 4497.00 4968.60 (cm) 6825.00 6825.00 d 6825.00 6825.00 2.29 1.37 d / n 1.52 1.37 (cm) -3843.84-1856.40-2328.00-1856.40 OK OK OK OK

19.25 x 2.98 57.37 18.40 x 1.77 32.57 89.94 12.22 x 2.75 / 2 16.81 (12.22+12.01) x 0.231 / 2 2.80 11.12 x 1.77 19.69 39.30

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-X2 1.00 2.50 0.91 2.28 4.46 150 668.85 X2-X3 1.00 2.50 1.82 4.55 8.92 150 1337.70 X4-X6 1.00 2.50 1.82 4.55 8.92 150 1337.70 X7-X8 1.00 2.50 0.91 2.28 4.46 150 668.85 X8-X9 1.00 2.50 1.82 4.55 8.92 150 1337.70 X10-X11 1.00 2.50 0.91 2.28 4.46 150 668.85 X11-X12 1.00 2.50 0.91 2.28 4.46 150 668.85 X13-X14 1.00 2.50 1.82 4.55 8.92 150 1337.70 53.51 8026.20 Y7 X1-X2 1.00 2.50 0.91 2.28 4.46 150 668.85 X4-X5 1.00 2.50 0.91 2.28 4.46 150 668.85 X7-X8 1.00 2.50 0.91 2.28 4.46 150 668.85 X10-X11 1.00 2.50 0.91 2.28 4.46 150 668.85 X13-X14 1.00 2.50 1.82 4.55 8.92 150 1337.70 26.75 4013.10

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-X2 1.00 2.50 0.91 2.28 4.46 150 668.85 X3-X4 1.00 2.50 1.82 4.55 8.92 150 1337.70 X4-X5 1.00 2.50 0.91 2.28 4.46 150 668.85 X5-X6 1.00 2.50 0.91 2.28 4.46 150 668.85 X7-X8 1.00 2.50 0.91 2.28 4.46 150 668.85 X8-X9 1.00 2.50 1.82 4.55 8.92 150 1337.70 X10-X11 1.00 2.50 0.91 2.28 4.46 150 668.85 X11-X12 1.00 2.50 0.91 2.28 4.46 150 668.85 X13-X14 1.00 2.50 1.82 4.55 8.92 150 1337.70 53.51 8026.20 L d = 68.25 133.77 20065.50 C i α i I i m L d m Pi (kn) = αiii x 1.960 K (kn/rad) = Pi x

C i α i I i α i I i P i (kn) K (kn/rad) X1 Y1-Y3 1.00 2.50 1.82 4.55 8.92 150 1337.70 Y3-Y5 1.00 2.50 1.82 4.55 8.92 150 1337.70 Y8-Y9 1.00 2.50 1.82 4.55 8.92 150 1337.70 Y9-Y10 1.00 2.50 1.82 4.55 8.92 150 1337.70 X4 Y7-Y8 1.00 2.50 1.82 4.55 8.92 150 1337.70 Y9-Y10 1.00 2.50 1.82 4.55 8.92 150 1337.70 X8 Y1-Y2 1.00 2.50 0.91 2.28 4.46 150 668.85 Y2-Y3 1.00 2.50 0.91 2.28 4.46 150 668.85 Y7-Y8 1.00 2.50 1.82 4.55 8.92 150 1337.70 Y9-Y10 1.00 2.50 1.82 4.55 8.92 150 1337.70 X11 Y1-Y3 1.00 2.50 1.82 4.55 8.92 150 1337.70 Y9-Y10 1.00 2.50 1.82 4.55 8.92 150 1337.70 X14 Y1-Y3 1.00 Y3-Y4 1.00 Y4-Y5 1.00 Y8-Y9 1.00 Y9-Y10 1.00 L d = 68.25 133.77 20065.50 ΣP i ΣK 35.67 5350.80 17.84 2675.40 26.75 4013.10 17.84 2675.40

2-2) 121454 P640 =4.5 θ = 24.14 = 0.14 = -0.51 2025-0.50 C f = 0.14 (-0.50) = 0.64 C f = 0.8K z + 0.4 Z Z b K z = ( Z b / H ) 2α Z b = 4.5m H = 5.14m K z = (4.5/5.14) 2x0.2 = 0.989 C f = 0.8 x 0.989 + 0.4 = 1.19

2-2) Z q C f A w w Q w Q i Σ w Q i 1 Y1 3.06 741.98 1.19 0.34 0.30 3.46 741.98 1.19 6.94 6.13 6.43 Y7 4.28 741.98 1.19 10.30 9.10 4.28 741.98 1.19 10.30 9.10 18.21 Y10 3.46 741.98 1.19 6.94 6.13 3.06 741.98 1.19 0.34 0.30 6.43 31.08 wq = q x C f x A w w Q 1 = 741.98(N/m 2 ) x 1.19 x 0.34 (m 2 ) = 0.30(kN)

Z q C f A w wq w Q i Σ w Q i 1 X1 0.00 741.98 0.64 1.53 0.73 0.00 741.98 0.64 6.10 2.90 2.95 741.98 1.19 0.18 0.16 2.95 741.98 1.19 3.89 3.44 7.23 X4 0.00 741.98 0.64 6.10 2.90 0.00 741.98 0.64 6.10 2.90 2.95 741.98 1.19 3.89 3.44 2.95 741.98 1.19 3.89 3.44 12.68 X8 0.00 741.98 0.64 6.10 2.90 0.00 741.98 0.64 6.10 2.90 2.95 741.98 1.19 3.89 3.44 2.95 741.98 1.19 3.89 3.44 12.68 X11 0.00 741.98 0.64 6.10 2.90 0.00 741.98 0.64 6.10 2.90 2.95 741.98 1.19 3.89 3.44 2.95 741.98 1.19 3.89 3.44 12.68 X14 0.00 741.98 0.64 6.10 2.90 0.00 741.98 0.64 1.53 0.73 2.95 741.98 1.19 3.89 3.44 2.95 741.98 1.19 0.18 0.16 7.23 52.50

2-3) K i K ij Q aij α ij Q Ei Q Eij α ij Q Wi Q Wi j Y1 8026.20 53.51 1.000 30.41 0.57 1.000 12.43 0.23 OK Y7 20065.50 4013.10 26.75 1.000 76.04 15.21 0.57 1.000 31.08 6.22 0.23 OK Y10 8026.20 53.51 1.000 30.41 0.57 1.000 12.43 0.23 OK QEi x (Kij/Ki) x αij = 76.04 x (8026.2/20065.5) x 1.000 = 30.41 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 = 1.0 0.15 0.30 1) Ce = α 1 1 2) Ce = 0.5 + 10/3 x

2-3) K i K ij Q aij α ij Q Ei Q Eij α ij Q Wi Q Wij X1 5350.80 35.67 1.000 1.000 X4 2675.40 17.84 1.000 1.000 X8 20065.50 4013.10 26.75 1.000 76.04 1.000 52.50 X11 2675.40 17.84 1.000 1.000 X14 5350.80 35.67 1.000 1.000

3) 3-1) = L x 0.6 = 5.46 x 4.55 = 24.84 = 10 = 2.49 = 0.60 105 150 2.5

3) 3-1) 1 = 1.96kN/m No (m) (m) (m) (m) a(kn) Y1 - Y7 (1) H3-0.60 4.55 2.73 H3-0.36 4.55 1.64 H3-0.36 4.55 1.64 H3-0.60 4.55 2.73 R7 0.70 18.20 12.74 21.48 / 18.20 = 1.18 1.18 x 18.20m x 1.96kN/m = 42.09 ( 21.48 x 1.96 = 42.10) 21.48 18.20 1.18 42.09 Y7 - Y10 (2) H3-0.60 4.55 2.73 H3-0.36 4.55 1.64 H3-0.36 4.55 1.64 H3-0.60 4.55 2.73 R7 0.70 18.20 12.74 21.48 18.20 1.18 42.09

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

3) P75-79 No Qa (m) Qa(kN) ΣQa(kN) (m) a(kn) Y1 - Y7 (1) H3-1.18 4.55 5.37 H3-0.71 4.55 3.23 H3-0.71 4.55 3.23 H3-1.18 4.55 5.37 R7 1.37 18.20 24.93 42.13 18.20 1.18 42.13 Y7 - Y10 (2) H3-1.18 4.55 5.37 H3-0.71 4.55 3.23 H3-0.71 4.55 3.23 H3-1.18 4.55 5.37 R7 1.37 18.20 24.93 42.13 18.20 1.18 42.13

P75-79 No Qa (m) Qa(kN) ΣQa(kN) (m) a(kn) X1-X4 (1) H3-1.18 5.46 6.44 H3-1.18 5.46 6.44 R7 1.37 10.92 14.96 27.84 10.92 1.30 27.84 X4-X8 (2) H3-0.71 5.46 3.87 H3-0.71 5.46 3.87 R7 1.37 10.92 14.96 22.70 10.92 1.06 22.70 X8-X11 (3) H3-0.71 5.46 3.87 H3-0.71 5.46 3.87 R7 1.37 10.92 14.96 22.70 10.92 1.06 22.70 X11-X14 (4) H3-1.18 5.46 6.44 H3-1.18 5.46 6.44 R7 1.37 10.92 14.96 27.84 10.92 1.30 27.84

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 Y1 30.41 1.000 0.180 26.61 0.00 4.79 1.000 140.16 25.23 25.62 42.09 0.61 OK Y7 15.21 1.000 0.180 9.66 0.00 1.74 0.39 0.01 OK 1.000 135.46 24.38 13.86 42.09 0.33 OK Y10 30.41 1.000 0.180 26.06 0.00 4.69-10.52 0.25 OK V ij = x (/Σ) = 76.04 x (53.51/133.77) = 30.41 P ij = α ij x C i x W ij + V i+1,j = 1.0 x 0.180 x 26.61 + 0 =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 = 140.16 x 0.180 x 1.000 = 25.23 Q ik-1,k = V ij P ij =30.41 4.79 = 25.62 Q ik,k-1 = V ij P ij w ij-1,j = 30.41 4.79 25.23 = 0.39 Q aik-1,k : 3-1) 2-1)

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 X1 20.28 1.000 0.180 20.88 0.00 3.76 16.52 / 27.82 = 0.59 1.000 69.40 12.49 16.52 27.82 0.59 OK X4 10.14 1.000 0.180 3.58 0.00 0.64 4.02 0.14 OK 1.000 X8 15.21 1.000 0.180 7.16 0.00 1.29 1.000 X11 10.14 1.000 0.180 8.48 0.00 1.53 1.000 X14 20.28 1.000 0.180 22.01 0.00 3.96 W ij-1,j = 1-8) W i

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 Y1 12.43 1.000 0.30 0.00 0.30 1.000 15.24 15.24 12.13 42.09 0.29 OK Y7 6.22 1.000 0.00 0.00 0.00-3.11 0.07 OK 1.000 15.24 15.24 3.11 42.09 0.07 OK Y10 12.43 1.000 0.30 0.00 0.30-12.13 0.29 OK V ij = x (/Σ) = 31.08 x (53.51/133.77) = 12.43 2-2) P ij = α ij x W ij + V i+1,j = 1.0 x 0.30 + 0 = 0.30 W ij-1,j = 2-2) w Q + = 9.10 + 6.13 = 15.24 w ij-1,j = W ij-1,j x α ij-1,j = 15.24 x 1.000 = 15.24 Q ik-1,k = V ij P ij =12.43 0.30 = 12.13 Q ik,k-1 = V ij P ij w ij-1,j = 12.43 0.30 15.24 = -3.11 Q aik-1,k : 3-1)

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 X1 14.00 1.000 0.89 0.00 0.89 13.11 / 27.82 = 0.47 1.000 12.68 12.68 13.11 27.82 0.47 OK X4 7.00 1.000 0.00 0.00 0.00 0.43 0.02 OK 1.000 12.68 X8 10.50 1.000 0.00 0.00 0.00 1.000 12.68 X11 7.00 1.000 0.00 0.00 0.00 1.000 12.68 X14 14.00 1.000 0.89 0.00 0.89 W ij-1,j = 2-2) Y w Q + + + = 2.90 + 3.44 + 2.90 + 3.44 = 12.68

4)

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)

α = 2.5 H() = 3.14m Vs = 2.5 x 1.96 x 3.14 = 15.39 kn X1 +) Vτ = 15.39 x 0.8 3.48 = 8.83 kn -) Vτ = -15.39 3.48 = -18.87 kn X3 +) Vτ = -15.39 8.17 = -23.56 kn -) Vτ = 15.39 x 0.5 8.17 = -0.48 kn

X1 +) Vτ = 15.39 x 0.8 3.48 = 8.83 kn -) Vτ = -15.39 3.48 = -18.87 kn β s X1 Y1 X2 Y1 X7 Y1 X8 Y1 s*β L α τ + 0.8 15.39 3.48 8.83-0.8-15.39 3.48-18.87 + 0.8 15.39 3.48 8.83-0.8-15.39 3.48-18.87 + 0.5 0.00 5.47-5.47-0.5 0.00 5.47-5.47 + 0.5 0.00 5.47-5.47-0.5 0.00 5.47-5.47 + 0.5 4.81-0.5 4.81 + 0.5 4.81-0.5 4.81 + 0.5 4.32-0.5 4.32 + 0.5 4.32-0.5 4.32 8.83 10kN -5.47 10.00 0.88 OK 10.00 0.88 OK 1.08 0.00 OK 1.08 0.00 OK

121460 (kn) C 0.00 1.08 L 3.81 2.3L 3.38 6.2 (CN65) T V 5.07 5.88 2.3T 6.2 (CN65) 5 2.3V 9 (CN90) 4 P 7.50 3.2 12 12 4.540 1s - 8.50 3.2 12 50 4.5 HD10 10kN 10.00 3.2 12 2 16 HD15 15kN 15.00 3.2 12 3 16 HD20 20kN 20.00 3.2 12 4 16 HD25 25kN 25.00 3.2 12 5 16 HD30 30kN 30.00 2

5) 3kN 7.5kN

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)

Ta (kn) (1) 3.2 12 10.1 (2) (3) (4) (5) (6) 3.2 2 12 15.9 3.2 12 12 4.5 40 3.2 12 2 12 2 4.540 3.2 L 12 12 12 50 4.5 1 10.1 15.9 7.5 8.5 () 23.3KN

18.20m 5.46m 10.92m = 76.02kN w = 76.02kN / 10.92m = 6.96 kn/m

M o = w x L 2 / 8 = 6.96 x 5.46 2 / 8 = 25.95 kn m Q = w x L / 2 = 6.96 x 5.46 / 2 = 19.01 kn Q = Q / D = 19.01 / 18.2 = 1.04 kn/m α = Q / P 0 = 1.04 / 1.96 = 0.53 C(T) = M o / D = 25.95 / 18.2 = 1.43 kn = = C / = 1.43 / 5.30 = 0.27

18.20m 4.55m 10.92m = 76.02kN w = 76.02kN / m = kn/m

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 =

6) 6-1) 200

3m2m

6-2) 10kN M16 105 x 105 M12Ld( ) Ld 2400/Ta 300 Ta (kn) 2400 (kn)

6-3) M12 250 25kN 360 M16 25kN 35.5kN 510 6.4kN 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) M12 8.72 M16 15.51 M12 7.65 M16 13.60

6-4) Qa (kn) Ta (kn) (kn) 12 8.72 19.74 15.80 M12 Qa (kn) ΣQa (kn) Y1 12 8.72 104.64 53.51 0.51 53.51 0.51 OK Y7 12 8.72 104.64 26.75 0.26 26.75 0.26 OK Y10 12 8.72 104.64 53.51 0.51 53.51 0.51 OK M12 Qa (kn) ΣQa (kn) X1 7 8.72 61.04 35.67 0.58 35.67 0.58 OK X4 7 8.72 61.04 17.84 0.29 17.84 0.29 OK X8 7 8.72 61.04 26.75 0.44 26.75 0.44 OK X11 7 8.72 61.04 17.84 0.29 17.84 0.29 OK X14 7 8.72 61.04 35.67 0.58 35.67 0.58 OK