PowerPoint プレゼンテーション
|
|
|
- ゆずさ とどろき
- 4 years ago
- Views:
Transcription
1 Y B4(4 3 B4,1 M 0 C,Q 0. M,Q 1.- MQ 003/10/16 10/8
2 Girder BeamColumn Foundation SlabWall
3 Girder BeamColumn Foundation SlabWall
4
5
6 1.-1 5mm 0 kn/m m=0.5 kn/m 60mm 18 kn/m m=1.08 kn/m 9mm 15 kn/m m=0.135 kn/m 15mm 0 kn/m m=0.3 kn/m 10mm 4 kn/m 3 0.1m=.88 kn/m 0.15kN/m kn/m 5.1 kn/m
7 1.- W 1 =4374.0kN W =074.5kN Z C 0 T T c R t T/(1+3T) Z R t A i C 0 A w i (kn) W i (kn) α i A i Q i C i
8
9
10 ] / 0.5[ 10 ] / [ mm N mm N E s s s = = = ε σ ] 0.5[ ] 100[ 10 ] / 0.5[ kn mm mm N A da N s s A s s = = = = σ σ ] 79.5[ ] 0.5[ ] [ 100 kn kn kn N N N s c = = = ] /.65[ ] [ ] [ ] 10 [ ] 310 [ ].5[ 79 3 mm N mm N cm cm kn A N c c c = = = = σ 1.5-1
11 003/10/3 (m ) (kn/m or kn/m) or (kn) (m) ( ) (3.8/) ( ) 6.1 X3.9 (6-0.55)/ 10.6 Y4.7 ( ) *(6.0/-( /))/* 9.1 (kn) / C (3.8/+4.0/) X3.9 (6-0.55)/ 10.6 Y4.7 ( ) *(6.0/-( /))/* /+4.0/ F 0.4 (4.0/) (( )/+( )) /
12 003/10/ X3.9 (6-0.55) 1.3 Y4.7 ( ) *(6-0.35)/* / C X3.9 (6-0.55) 1.3 Y4.7 ( ) *(6-0.35)/* /+4.0/ F (( )+( )) / kn/m
13 G4 C3 G C1 X B G 5450 B1 G G6 C4 G5 C X1 Y Y1 Y0 C 3 8m3m 8m X mm Y mm B mm 1/4 C 3 1/
14 1.5- F c =4N/mm, SD345 SD95A Fc 4 fc = = 3 3 f = 8N / mm c = 8 N/mm 0 N/mm Fc f s = min = 30 f = 0.74 N/mm c 4 30 = 0.8, 1.5 = 1.11 N/mm = 16 N/mm Fc = = 0.74 N/mm
15 1.5- F c =4N/mm, SD345 SD95A Fc fb = 0.8 ( + 0.6) = 60 f = 0.8 N/mm b Fc fb = = 60 f = 1 N/mm b 1.5 = 1. N/mm ( = 1 N/mm 1.5 = 1.5 N/mm + 0.6) = 0.8 N/mm
16 1.5- F c =4N/mm, SD345 SD95A E c 4 γ Fc = ( ) ( ) = ( ) ( ) F c 7 N/mm n=15.05x10 5 N/mm = N/mm
17 1.5- F c =4N/mm, SD345 SD95A f = 0 N/mm t f = 345 N/mm t f = 00 N/mm w f = 95 N/mm w t t
18 . K 0 I 0 I φ I 0 K k b(mm) D mm) ( mm ) φ ( 10 8 mm ) l (mm) ( 10 6 mm 3 ) K /K X 0 X 1 X Y 1 k
19 C,M 0,Q 0 lx ly w C M 0 Q 0 λ C/w M 0 /w Q 0 /w Y 1 RG G (m) (m) (kn/m ) (kn m) (kn m) (kn) C w = 4 19λ λ + l M 0 λ 1 x = l 3 Q0 λ 1 x = lx 48 w w 4 8
20 Y1 Σ Σ Σ
21 Y1 Q (kn)= 578 k =1.00 a= 0.33 k =.00 a= 0.50 k =1.00 a= 0.33 ΣDx = D =0.37 D/Σ Dx= 0.06 D =0.55 D/Σ Dx= 0.10 D =0.37 D/Σ Dx= Qci(kN)= 36.8 Qci(kN)= 55. Qci(kN)= 36.8 h (m)= y 0 =0.40 y 0 =0.45 y 0 = α 1 =1.00 y 1 =0.0 α 1 =1.00 y 1 =0.0 α 1 =1.00 y 1 =0.0 α = y =0.0 α = y =0.0 α = y =0.0 α 3 =1.11 y 3 =0.0 α 3 =1.11 y 3 =0.0 α 3 =1.11 y 3 =0.0 y = y = y = M 85.4 (kn m)= M (kn m)= 57.0 M (kn m)= M M (kn m)= 96.1 M (kn m)= 85.4 M (kn m)= 57.0 (kn m)= 85.4 M (kn m)= 58.7 M (kn m)= 58.7 M (kn m)= 85.4 Q kn
22 Y1 M 85.4 (kn m)= M (kn m)= 57.0 M (kn m)= M M (kn m)= 96.1 M (kn m)= 85.4 M (kn m)= 57.0 (kn m)= 85.4 M (kn m)= 58.7 M (kn m)= 58.7 M (kn m)= 85.4 Q kn Q 1(kN)= 1004 k = 1.85 a= 0.48 k = 3.7 a= 0.65 k = 1.85 a= 0.48 ΣDx = k =1.10 a= 0.5 k =.0 a= 0.64 k =1.10 a= D =0.48 D/Σ Dx= 0.06 D =0.65 D/Σ Dx= 0.09 D =0.48 D/Σ Dx= 0.06 h (m)= Qci(kN)= 63.5 Qci(kN)= 85.8 Qci(kN)= y 0=0.56 y 0=0.55 y 0=0.56 α 1= y 1=0.0 α 1= y 1=0.0 α 1= y 1=0.0 α =0.90 y =0.0 α =0.90 y =0.0 α =0.90 y =0.0 α 3 = y 3 =0.0 α 3 = y 3 =0.0 α 3 = y 3 =0.0 y = M (kn m)= 11.1 M (kn m)= 15.5 M (kn m)= M (kn m)= 03.3 M (kn m)= 11.1 M (kn m)= 15.5 M (kn m)= M (kn m)= 131. M (kn m)= 131. M (kn m)= Q kn M M M (kn m)= (kn m)= (kn m)= Q kn M (kn m)=
23 3.-1 F c =30N/mm SD345 γ A B M/bd (N/mm ) γ p t (%) a t = p t bd (mm ) a c =γ a t (mm ) D5 -D5 -D5 -D5 -D5 -D5 (mm ) bd p t ( bd *4/ OK OK OK
24 3.-1 γ A B M/bd (N/mm ) γ p t (%) a t = p t bd (mm ) a c =γ a t (mm ) D5 -D5 -D5 -D5 3-D5 -D5 (mm ) bd p t ( bd *4/ OK OK OK
25 5 315
26 10
27 RC M,Q 10 (M,Q) 1. D F. FEM 3. 1 D 1 4. C 1 5. D
28 (M,Q) 1. k. D y
29 5
30 F c =30N/mm f c 5 Fc 30 fc = = 3 3 f = 10N / mm c = 10 N/mm = 0 N/mm SD345 D9 f t 5 f = 0 N/mm t f = 345 N/mm t
31 F c =30N/mm SD345 f b 5 Fc fb = 0.8 ( 60 f = 0.88 N/mm b Fc fb = = 60 f = 1.1N/mm b + 0.6) = ( ) 1.5 = 1.3 N/mm = 1.1 N/mm 1.5 = 1.65 N/mm = 0.88 N/mm
32 F c =30N/mm SD95A f b 5 Fc fb = 0.8 ( + 0.6) = 60 f = 0.88 N/mm b Fc fb = = 60 f = 1.1N/mm b ( ) = 1.5 = 1.3 N/mm = 1.1 N/mm 1.5 = 1.65 N/mm 0.88 N/mm
33 ABCD BC 400mm 700mm 6m E BC F c =30N/mm SD345
34 BC 5 40
35 BC 0
36 γ B M/bd (N/mm ) γ p t (%) a t = p t bd (mm ) a c =γ a c (mm ) D -D -D -D (mm ) bd p t ( bd *4/ OK OK
37 3.- α α
38 3.- α α
39 3.3-1 N N) M (knm) N/bD (N/mm ) M/bD (N/mm ) p t (%) p t <0.4% a t = p t bd (mm ) a c =a t (mm ) (mm ) (mm )
40 α α α 3.3-
(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
y = x x R = 0. 9, R = σ $ = y x w = x y x x w = x y α ε = + β + x x x y α ε = + β + γ x + x x x x' = / x y' = y/ x y' =
y x = α + β + ε =,, ε V( ε) = E( ε ) = σ α $ $ β w ( 0) σ = w σ σ y α x ε = + β + w w w w ε / w ( w y x α β ) = α$ $ W = yw βwxw $β = W ( W) ( W)( W) w x x w x x y y = = x W y W x y x y xw = y W = w w
取扱説明書 ［F-12C］
F-12C 11.7 1 2 3 4 5 6 7 8 9 10 11 12 13 14 a bc b c d d a 15 a b cd e a b c d e 16 17 18 de a b 19 c d 20 a b a b c a d e k l m e b c d f g h i j p q r c d e f g h i j n o s 21 k l m n o p q r s a X
(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
untitled
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%
untitled
PGF 17 6 1 11 1 12 1 2 21 2 22 2 23 3 1 3 1 3 2 3 3 3 4 3 5 4 6 4 2 4 1 4 2 4 3 4 4 4 5 5 3 5 1 5 2 5 5 5 5 4 5 1 5 2 5 3 6 5 6 1 6 2 6 6 6 24 7 1 7 1 7 2 7 3 7 4 8 2 8 1 8 2 8 3 9 4 9 5 9 6 9 3 9 1 9
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)
16 4 1 2003 JASS5 1 16 4 1 2 16 4 1 1999 90 90 JASS5RC 180 135 90 RC -1 (D) JASS5 L2 90 2/3 2030-1 JASS5 JASS5 JASS5 JASS5 JASS5 JASS5 90 JASS5 RC RC JASS5 JASS5 JASS5 190 RC JASS5 2 JASS5 (L22/3) 3 (2)
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
untitled
- 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 =
untitled
0 ( L CONTENTS 0 . sin(-x-sinx, (-x(x, sin(90-xx,(90-xsinx sin(80-xsinx,(80-x-x ( sin{90-(ωφ}(ωφ. :n :m.0 m.0 n tn. 0 n.0 tn ω m :n.0n tn n.0 tn.0 m c ω sinω c ω c tnω ecω sin ω ω sin c ω c ω tn c tn ω
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
Q & A Q A p
Q & A 2004.12 1 Q1. 12 2 A1. 11 3 p.1 1.1 2 Q2. A2. < > [ ] 10 5 15 (p.138) (p.150) (p.176) (p.167 ) 3 1. 4 1.6 1.6.1 (2) (p.6) Q3. 5 1 1:1.0 12 2 1:0.6 1:1.0 1:1.0 1:0.6 1:0.6 1:0.6 1:1.0 1:0.6 ( ) 1:1.0
10 117 5 1 121841 4 15 12 7 27 12 6 31856 8 21 1983-2 - 321899 12 21656 2 45 9 2 131816 4 91812 11 20 1887 461971 11 3 2 161703 11 13 98 3 16201700-3 - 2 35 6 7 8 9 12 13 12 481973 12 2 571982 161703 11
0.45m1.00m 1.00m 1.00m 0.33m 0.33m 0.33m 0.45m 1.00m 2
24 11 10 24 12 10 30 1 0.45m1.00m 1.00m 1.00m 0.33m 0.33m 0.33m 0.45m 1.00m 2 23% 29% 71% 67% 6% 4% n=1525 n=1137 6% +6% -4% -2% 21% 30% 5% 35% 6% 6% 11% 40% 37% 36 172 166 371 213 226 177 54 382 704 216
(1) (kn/m 3 )
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.
untitled
GeoFem 1 1.1 1 1.2 1 1.3 1 2 2.1 2 2.2 3 2.3 FEM 5 (1) 5 (2) 5 (3) 6 2.4 GeoFem 7 2.5 FEM 16 2.6 19 2.7 26 3.1 33 3.2 35 3.3 GeoFem 36 3.4 48 3.5 49 A A1 A2 A3 A4 A5 A6 A7 GeoFem GeoFem CRS GeoFem GeoFem
1 1.1 ( ). z = a + bi, a, b R 0 a, b 0 a 2 + b 2 0 z = a + bi = ( ) a 2 + b 2 a a 2 + b + b 2 a 2 + b i 2 r = a 2 + b 2 θ cos θ = a a 2 + b 2, sin θ =
1 1.1 ( ). z = + bi,, b R 0, b 0 2 + b 2 0 z = + bi = ( ) 2 + b 2 2 + b + b 2 2 + b i 2 r = 2 + b 2 θ cos θ = 2 + b 2, sin θ = b 2 + b 2 2π z = r(cos θ + i sin θ) 1.2 (, ). 1. < 2. > 3. ±,, 1.3 ( ). A
all.dvi
38 5 Cauchy.,,,,., σ.,, 3,,. 5.1 Cauchy (a) (b) (a) (b) 5.1: 5.1. Cauchy 39 F Q Newton F F F Q F Q 5.2: n n ds df n ( 5.1). df n n df(n) df n, t n. t n = df n (5.1) ds 40 5 Cauchy t l n mds df n 5.3: t
030801調査結果速報版.PDF
15 8 1 15 7 26 1. 2. 15 7 27 15 7 28 1 2 7:13 16:56 0:13 3km 45 346 108 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 3.10 3.11 3. 3.1 26 7 10 1 20cm 2 1 2 45 1/15 3 4 5,6 3 4 3 5 6 ( ) 7,8 8 7 8 2 55 9 10 9 10
取扱説明書 [F-08D]
![取扱説明書 [F-08D]](/thumbs/48/23832237.jpg "取扱説明書 [F-08D]")
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 a bc d a b c d 17 a b cd e a b c d e 18 19 20 21 22 a c b d 23 24 a b c a b c d e f g a b j k l m n o p q r s t u v h i c d e w 25 d e f g h i j k l m n o p q r s
1
鉄筋コンクリート柱のせん断破壊実験 1 2 2-1 4 CS- 36N 2% CS-36A2 4% CS-36A4 2 CS-36HF -1 F C28 =36N/mm 2-1 CS-36N 普通コンクリート 36NC 2-3 CS-36A2 石炭灰 2% コンクリート 36CA2 2-4 2% CS-36A4 石炭灰 4% コンクリート 36CA4 2-5 4% CS-36HF 高流動コンクリート
untitled
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
untitled
22112 Ss Ss 1 Ss S S BC 2 S1/2 S 1 1 3 S2/2 S 2 2 4 Ss Ss 1 1 Ss Ss 5 JEAG46011984JEAG4601 1987JEAG46011991 JSME S NC12005 JEAG4601-1991 6 NO NO YES YES 7 Ss Ss A1 A2 Ss Ss 8 B1 Ss 9 10 4.87 4.87 0.29
4 Mindlin -Reissner 4 δ T T T εσdω= δ ubdω+ δ utd Γ Ω Ω Γ T εσ (1.1) ε σ u b t 3 σ ε. u T T T = = = { σx σ y σ z τxy τ yz τzx} { εx εy εz γ xy γ yz γ
Mindlin -Rissnr δ εσd δ ubd+ δ utd Γ Γ εσ (.) ε σ u b t σ ε. u { σ σ σ z τ τ z τz} { ε ε εz γ γ z γ z} { u u uz} { b b bz} b t { t t tz}. ε u u u u z u u u z u u z ε + + + (.) z z z (.) u u NU (.) N U
280-NX702J-A0_TX-1138A-A_NX702J.indb
NX702 1. 2. 3. 9 10 11 12 13 1 2 3 4 5 6 4 7 8 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22.
(1) (2)
3 3.1 3.1.1 3.1.2 (1) (2) 3.1.3 3-3.1.3.1 3.1.3.1 1 2 3.1.4 3.23.4 NATM 1980-3.1.4.1-3.1.4.2 NATM 20 1) NATM No.1235, 1983. 2) No.A-84-511984. -3.1.4.1 NATM -3.1.4.2 NATM Vp Vp 23/2882% 1983 : 0 A i X
solutionJIS.dvi
May 0, 006 6 morimune@econ.kyoto-u.ac.jp /9/005 (7 0/5/006 1 1.1 (a) (b) (c) c + c + + c = nc (x 1 x)+(x x)+ +(x n x) =(x 1 + x + + x n ) nx = nx nx =0 c(x 1 x)+c(x x)+ + c(x n x) =c (x i x) =0 y i (x
Lecture 12. Properties of Expanders
Lecture 12. Properties of Expanders M2 Mitsuru Kusumoto Kyoto University 2013/10/29 Preliminalies G = (V, E) L G : A G : 0 = λ 1 λ 2 λ n : L G ψ 1,..., ψ n : L G µ 1 µ 2 µ n : A G ϕ 1,..., ϕ n : A G (Lecture
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 +
σ P σ () n σ () n σ P ) σ ( σ P σ σ σ + u V e m w ρ w gv V V s m s ρ s gv s 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 (
[Ver. 0.2] 1 2 3 4 5 6 7 1 1.1 1.2 1.3 1.4 1.5 1 1.1 1 1.2 1. (elasticity) 2. (plasticity) 3. (strength) 4. 5. (toughness) 6. 1 1.2 1. (elasticity) } 1 1.2 2. (plasticity), 1 1.2 3. (strength) a < b F
（１）基礎の設計に関する基本事項
(1) qa 50kN/m 2 qa 13 1113 1 (2) (3) (2) 50 qa 100kN/m 2 13 1113 1 (3) qa 100kN/m 2 qa 120kN/m 2 (1) qa 300kN/m 2 qa 13 1113 1 (2) (2) qa 300 kn/m 2 qa 1000kN/m 2 38 3 50 30 3 /10m 42 1 13 1113 5 6 30
48 * *2
374-1- 17 2 1 1 B A C A C 48 *2 49-2- 2 176 176 *2 -3- B A A B B C A B A C 1 B C B C 2 B C 94 2 B C 3 1 6 2 8 1 177 C B C C C A D A A B A 7 B C C A 3 C A 187 187 C B 10 AC 187-4- 10 C C B B B B A B 2 BC
all.dvi
72 9 Hooke,,,. Hooke. 9.1 Hooke 1 Hooke. 1, 1 Hooke. σ, ε, Young. σ ε (9.1), Young. τ γ G τ Gγ (9.2) X 1, X 2. Poisson, Poisson ν. ν ε 22 (9.) ε 11 F F X 2 X 1 9.1: Poisson 9.1. Hooke 7 Young Poisson G
D d d c b a c x n cε c sε c c σ c sσ c n a c a t sε t sσ t n a t cε t cσ t S n = 0 ( ) 2 bd + n a 2 cdc + atd xn = bd + n ( ac + at ) n = n 1 I M = E
D b σ σ σ σ S ( ) bd bd ( ) I M E I b ( ) ( ) E.56 F E D ( D ) ( ) M E I.56 F b ( D ) D b σ σ σ S b b ( ) ( ) I M E I b ( ) ( ) E y E M E I ( ) ( ) E y F ( ) ( ) ( ) ( ) ( ) ( ) ( ) y y y y y y A E T SGN
1
GL (a) (b) Ph l P N P h l l Ph Ph Ph Ph l l l l P Ph l P N h l P l .9 αl B βlt D E. 5.5 L r..8 e g s e,e l l W l s l g W W s g l l W W e s g e s g r e l ( s ) l ( l s ) r e l ( s ) l ( l s ) e R e r
1. 2 P 2 (x, y) 2 x y (0, 0) R 2 = {(x, y) x, y R} x, y R P = (x, y) O = (0, 0) OP ( ) OP x x, y y ( ) x v = y ( ) x 2 1 v = P = (x, y) y ( x y ) 2 (x
. P (, (0, 0 R {(,, R}, R P (, O (0, 0 OP OP, v v P (, ( (, (, { R, R} v (, (, (,, z 3 w z R 3,, z R z n R n.,..., n R n n w, t w ( z z Ke Words:. A P 3 0 B P 0 a. A P b B P 3. A π/90 B a + b c π/ 3. +
A = A x x + A y y + A, B = B x x + B y y + B, C = C x x + C y y + C..6 x y A B C = A x x + A y y + A B x B y B C x C y C { B = A x x + A y y + A y B B
9 7 A = A x x + A y y + A, B = B x x + B y y + B, C = C x x + C y y + C..6 x y A B C = A x x + A y y + A B x B y B C x C y C { B = A x x + A y y + A y B B x x B } B C y C y + x B y C x C C x C y B = A
LLG-R8.Nisus.pdf
d M d t = γ M H + α M d M d t M γ [ 1/ ( Oe sec) ] α γ γ = gµ B h g g µ B h / π γ g = γ = 1.76 10 [ 7 1/ ( Oe sec) ] α α = λ γ λ λ λ α γ α α H α = γ H ω ω H α α H K K H K / M 1 1 > 0 α 1 M > 0 γ α γ =
19 () -1- 11 12 17 18 6 ()( ) ( ) () () 17 7 ()( ) 18 () -2- 4610 21-3- ( 20 15 4 ) -4- () -5- () () () -6- ( ) -7- cm/s 5cm7.5cm 10cm. 1 ( qc) 400 200-8- 20 ( 46 300 ) 27 252 19 1 252 22 () 1.6.2()
234 50cm
234 50cm () 1 10 2 3 4 1 5 6 2 2 1 7 ( ー ) っ ー っ 8 1 2 10 10 2m 4m 6m 15m 457-2472 585-1154 9 10 2 60 2 100 RC SRC 30 80 500 1 500 500 ) 10 B b A 2 A B 2m 457-2473 585-1154 11 20m a 2m 3 3 1m 75cm 120cm
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 81
9 CQ 1 80 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 81 CQ 2 82 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 83 84 CQ 3 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 85 CQ 4
( ) e + e ( ) ( ) e + e () ( ) e e Τ ( ) e e ( ) ( ) () () ( ) ( ) ( ) ( )
n n (n) (n) (n) (n) n n ( n) n n n n n en1, en ( n) nen1 + nen nen1, nen ( ) e + e ( ) ( ) e + e () ( ) e e Τ ( ) e e ( ) ( ) () () ( ) ( ) ( ) ( ) ( n) Τ n n n ( n) n + n ( n) (n) n + n n n n n n n n
I II
I II I I 8 I I 5 I 5 9 I 6 6 I 7 7 I 8 87 I 9 96 I 7 I 8 I 9 I 7 I 95 I 5 I 6 II 7 6 II 8 II 9 59 II 67 II 76 II II 9 II 8 II 5 8 II 6 58 II 7 6 II 8 8 I.., < b, b, c, k, m. k + m + c + c b + k + m log
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....................
- 1 - 2 ç 21,464 5.1% 7,743 112 11,260 2,349 36.1% 0.5% 52.5% 10.9% 1,039 0.2% 0 1 84 954 0.0% 0.1% 8.1% 91.8% 2,829 0.7% 1,274 1,035 496 24 45.0% 36.6% 17.5% 0.8% 24,886 5.9% 9,661 717 6,350 8,203 38.8%
6kg 1.1m 1.m.1m.1 l λ ϵ λ l + λ l l l dl dl + dλ ϵ dλ dl dl + dλ dl dl 3 1. JIS 1 6kg 1% 66kg 1 13 σ a1 σ m σ a1 σ m σ m σ a1 f f σ a1 σ a1 σ m f 4
35-8585 7 8 1 I I 1 1.1 6kg 1m P σ σ P 1 l l λ λ l 1.m 1 6kg 1.1m 1.m.1m.1 l λ ϵ λ l + λ l l l dl dl + dλ ϵ dλ dl dl + dλ dl dl 3 1. JIS 1 6kg 1% 66kg 1 13 σ a1 σ m σ a1 σ m σ m σ a1 f f σ a1 σ a1 σ m
56cm 1 15 1960 2 8 2 2 1 2008 1992 2 1992 2 3562mm 3773mm 2 1980 1991 2008 2007 2003 5 2 3 2003 2005 2008 2010 2005 2008 2012 2010 2012 4 7 4 5 2 1975 1994 8 2008 NPO 2 2010 3 2013 2016 3 2008 2009 14
28 27 8 4 10 17 2 27 8 7 14 00 1 27 8 14 15 00 2 27 8 21 15 00 1 4 5 2 6 1 27 ABCD 6 2 2 5 5 8% 108 100 49 2 13 140 22 12 7 153-8501 19 23 03-5478-1225 27 8 4 (1) (2) (3) (1) (2) (3) (4) (5) (6) (7) (8)
H27 28 4 1 11,353 45 14 10 120 27 90 26 78 323 401 27 11,120 D A BC 11,120 H27 33 H26 38 H27 35 40 126,154 129,125 130,000 150,000 5,961 11,996 6,000 15,000 688,684 708,924 700,000 750,000 1300 H28
N cos s s cos ψ e e e e 3 3 e e 3 e 3 e
3 3 5 5 5 3 3 7 5 33 5 33 9 5 8 > e > f U f U u u > u ue u e u ue u ue u e u e u u e u u e u N cos s s cos ψ e e e e 3 3 e e 3 e 3 e 3 > A A > A E A f A A f A [ ] f A A e > > A e[ ] > f A E A < < f ; >
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.
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. ttp://www.morikita.co.jp/books/mid/00571 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. i ii 014 10 iii [note] 1 3 iv 4 5 3 6 4 x 0 sin x x 1 5 6 z = f(x, y) 1 y = f(x)
平成20年5月 協会創立50年の歩み 海の安全と環境保全を目指して 友國八郎 海上保安庁 長官 岩崎貞二 日本船主協会 会長 前川弘幸 JF全国漁業協同組合連合会 代表理事会長 服部郁弘 日本船長協会 会長 森本靖之 日本船舶機関士協会 会長 大内博文 航海訓練所 練習船船長 竹本孝弘 第二管区海上保安本部長 梅田宜弘
![Œ{Ł¶/1ŒÊ −ªfiª„¾ [ 1…y†[…W ]](/thumbs/50/26134150.jpg "Œ{Ł¶/1ŒÊ −ªfiª„¾ [ 1…y†[…W ]")
untitled
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
3-1. 1) 1-1) =10.92m =18.20m m 2 6,480 3, =30 30kN/m 2 Z=0.9
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
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
199 1 1 199 1 1. Vx) m e V cos x π x π Vx) = x < π, x > π V i) x = Vx) V 1 x /)) n n d f dξ ξ d f dξ + n f = H n ξ) ii) H n ξ) = 1) n expξ ) dn dξ n exp ξ )) H n ξ)h m ξ) exp ξ )dξ = π n n!δ n,m x = Vx)
y.\..../3.05
G GF S SF M C V O P t GOGV SOSV 70 71 CBR PI CBR qu 75mm 74m5 574m50 1574m50 74m5 574m15 1574m50 74m50 G2.075mm50 S74m2.0mm50 F74m50 Pt 5074m 50 G 502.0mm75mm 50 G 74m15 S 74m15 S 5074m2.0mm F 5074m 50
II (No.2) 2 4,.. (1) (cm) (2) (cm) , (
II (No.1) 1 x 1, x 2,..., x µ = 1 V = 1 k=1 x k (x k µ) 2 k=1 σ = V. V = σ 2 = 1 x 2 k µ 2 k=1 1 µ, V σ. (1) 4, 7, 3, 1, 9, 6 (2) 14, 17, 13, 11, 19, 16 (3) 12, 21, 9, 3, 27, 18 (4) 27.2, 29.3, 29.1, 26.0,
I y = f(x) a I a x I x = a + x 1 f(x) f(a) x a = f(a + x) f(a) x (11.1) x a x 0 f(x) f(a) f(a + x) f(a) lim = lim x a x a x 0 x (11.2) f(x) x
11 11.1 I y = a I a x I x = a + 1 f(a) x a = f(a +) f(a) (11.1) x a 0 f(a) f(a +) f(a) = x a x a 0 (11.) x = a a f (a) d df f(a) (a) I dx dx I I I f (x) d df dx dx (x) [a, b] x a ( 0) x a (a, b) () [a,
熊本県数学問題正解
00 y O x Typed by L A TEX ε ( ) (00 ) 5 4 4 ( ) http://www.ocn.ne.jp/ oboetene/plan/. ( ) (009 ) ( ).. http://www.ocn.ne.jp/ oboetene/plan/eng.html 8 i i..................................... ( )0... (
20 4 20 i 1 1 1.1............................ 1 1.2............................ 4 2 11 2.1................... 11 2.2......................... 11 2.3....................... 19 3 25 3.1.............................
x y x-y σ x + τ xy + X σ y B = + τ xy + Y B = S x = σ x l + τ xy m S y = σ y m + τ xy l σ x σ y τ xy X B Y B S x S y l m δu δv [ ( σx δu + τ )
1 8 6 No-tension 1. 1 1.1................................ 1 1............................................ 5.1 - [B].................................. 5................................. 6.3..........................................
No.004 [1] J. ( ) ( ) (1968) [2] Morse (1997) [3] (1988) 1
![No.004 [1] J. ( ) ( ) (1968) [2] Morse (1997) [3] (1988) 1](/thumbs/94/119152523.jpg "No.004 [1] J. ( ) ( ) (1968) [2] Morse (1997) [3] (1988) 1")
No.004 [1] J. ( ) ( ) (1968) [2] Morse (1997) [3] (1988) 1 1 (1) 1.1 X Y f, g : X Y { F (x, 0) = f(x) F (x, 1) = g(x) F : X I Y f g f g F f g 1.2 X Y X Y gf id X, fg id Y f : X Y, g : Y X X Y X Y (2) 1.3
f(x) = f(x ) + α(x)(x x ) α(x) x = x. x = f (y), x = f (y ) y = f f (y) = f f (y ) + α(f (y))(f (y) f (y )) f (y) = f (y ) + α(f (y)) (y y ) ( (2) ) f
22 A 3,4 No.3 () (2) (3) (4), (5) (6) (7) (8) () n x = (x,, x n ), = (,, n ), x = ( (x i i ) 2 ) /2 f(x) R n f(x) = f() + i α i (x ) i + o( x ) α,, α n g(x) = o( x )) lim x g(x) x = y = f() + i α i(x )
1 (Berry,1975) 2-6 p (S πr 2 )p πr 2 p 2πRγ p p = 2γ R (2.5).1-1 : : : : ( ).2 α, β α, β () X S = X X α X β (.1) 1 2
2005 9/8-11 2 2.2 ( 2-5) γ ( ) γ cos θ 2πr πρhr 2 g h = 2γ cos θ ρgr (2.1) γ = ρgrh (2.2) 2 cos θ θ cos θ = 1 (2.2) γ = 1 ρgrh (2.) 2 2. p p ρgh p ( ) p p = p ρgh (2.) h p p = 2γ r 1 1 (Berry,1975) 2-6
Microsoft Word - CTCWEB講座（4章照査）0419.doc
1912 1914 3 58 16 1 58 2 16 3 4 62 61 4 16 1 16 1914 ( 3) 1955 (30) 1961 (36) 1965 (40) 1970 (45) 1983 (58) 1992 ( 4) 1999 (11) 2004 (16) 2 1 2 3 4 5 6 7 8 9 1 10 2 11 12 13 14 15 16 17 18 19 20 21 22
LCM,GCD LCM GCD..,.. 1 LCM GCD a b a b. a divides b. a b. a, b :, CD(a, b) = {d a, b }, CM(a, b) = {m a, b }... CM(a, b). q > 0, m 1, m 2 CM
LCM,GCD 2017 4 21 LCM GCD..,.. 1 LCM GCD a b a b. a divides b. a b. a, b :, CD(a, b) = {d a, b }, CM(a, b) = {m a, b }... CM(a, b). q > 0, m 1, m 2 CM(a, b) = m 1 + m 2 CM(a, b), qm 1 CM(a, b) m 1, m 2
u Θ u u u ( λ + ) v Θ v v v ( λ + ) (.) Θ ( λ + ) (.) u + + v (.),, S ( λ + ) uv,, S uv, SH (.8) (.8) S S (.9),
ML rgr ML ML ML (,, ) σ τ τ u + + τ σ τ v + + τ τ σ + + (.) uv,,,, σ, σ, σ, τ, τ, τ t (Hook) σ λθ + ε, τ γ σ λθ + ε, τ γ σ λθ + ε, τ γ λ, E ν ν λ E, E ( + ν)( ν) ( + ν) Θ Θ ε + ε + ε (.) ε, ε, ε, γ, γ,
meiji_resume_1.PDF
β β β (q 1,q,..., q n ; p 1, p,..., p n ) H(q 1,q,..., q n ; p 1, p,..., p n ) Hψ = εψ ε k = k +1/ ε k = k(k 1) (x, y, z; p x, p y, p z ) (r; p r ), (θ; p θ ), (ϕ; p ϕ ) ε k = 1/ k p i dq i E total = E
body.dvi
..1 f(x) n = 1 b n = 1 f f(x) cos nx dx, n =, 1,,... f(x) sin nx dx, n =1,, 3,... f(x) = + ( n cos nx + b n sin nx) n=1 1 1 5 1.1........................... 5 1.......................... 14 1.3...........................
