NETES No.CG V
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- さあしゃ すみだ
- 5 years ago
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1 NETES No.CG V
2 2
3 1
4 2
5
6 2
7 i
8 ii
9 iii SI Ws800Ws
10 iv
11 (1) (2) (3) 1.2
12 2 1.2 (1)(2) (3)
13 JGS PC PC PC JIS 8 9
14 l A 18 l a 19 l f 20 l s 21 l sa 22 l sf 23 l B 24 d B
15 d E 26 d A 27 α 28 θ P 0 37 T u 38 T us JIS
16 T ub 40 T ug 41 T ys JIS 42 T a 43 T as (44) T ab 45 T ag 46 T d P 49 P i 50 P t 51 P e 52 P r 53
17 2.1 7 (54)
18 ( ) D S = F 0 T d B T F 0 f T(F s -F 0 ) F s T us l T ys l a U l f W l sa α W H β P δ P 0 δ e P a δ p P N P T θ 1/2 σ q u τ τ b
19 (a) (b) 3.1 (c) (d) 3.2
20 n@100mm 7.5/
21 (1000~3000) Ws
22 Ws Ws
23 q u =11.7N/mm φ 700mm q u =30N/mm kN 1.5m
24 kN kN 100kN 200kN 300kN 400kN 500kN 600kN 0kN 100kN 200kN 300kN 400kN 500kN 570kN cm φ 700mm 2,413mm 6.5cm 20cm PC kN 1,000kN
25 m 700kN kN
26 q u =1.1N/mm (GL-m) m 1 0.5m 1.0m 1.5m m m m A N/mm N/cm 2 550kN kn
27 cm φ 40cm 0 1 N (GL-m) 1 (No.1) No.2 (No.1) (No.2) No.3 (No.3) (cm) N/mm N/mm kN/ q u 3.8N/mm 2 (N/mm 2 ) x y = 134e (m) (N/mm 2 ) kN/ q u 3.8N/mm 2
28 (1) 0 20cm 30cm 1 φ 50cm (2) φ 50cm φ 115mm 5 φ 5.5cm 5 5.5cm cm GL4.25m (GL-4.25m) (3) (b) φ 40cm 30cm 3.15 (4) q u =1N/mm 2
29 (5) A = r π = = 2,370mm 0.38N/mm P p = = A A σ N/mm 2 mm 2 kn kN (6) 1/ (7) 0.065mm N/= σ 0.55N/mm (mm) (N) 3.12
30 20 3 (8) mm 0.075mm 1.5mmP N/mm 2 1N/mm 2 57 (mm) 130N/N 30 50N/ 50 1/2 3.13
31 cm P a GLm N/mm 2 W kn W /P kn/ a N/mm 2 W kn W /P a % % % % % % 47% 52% kN/ kN/ 600kN/ W (kn) W (kn) P a (kg/) P a (kg/) / q u 3.8N/mm 2 q u 3.8N/mm 2
32 % q u q u q u q u q u q σσ u σ σ σ σ σ kn % % % % % % % % % % % % % % % % % % % % % % q u q u q u q u q u q σ u kn σ σ σ σ σ % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % 115 q u q u q u q u q u q σ u σ kn σ σ σ σ % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % q u N/mm 2 σ N/mm N/mm ε σn/mm q u 10N/mm 2 ε
33 (1) m 0.5m 0 1 (GL-m) (1) q u =1.1N/mm 2 (2) cm 600kN 1/10 1/3 N/mm 2 N/mm 2 N/mm GL-m kN 300kN 450kN 600kN
34 (1) φ 139.8mm 2m kN 450kN (2) 3.20 φ 50cm φ 50cm 2 167kN/ 300kN/m 620kN/ =
35 (GL-m) N 0 50 W a (a) 750kN (b) b 750kN 600kN d (c) 600kN 600KN 167kN/ 300kN/ 620kN/ 3.20 (2) q u =3.7N/mm 2
36 kN (300) W kn (250) (200) (150) (100) (50) P kn mm 4 10cm
37 kN/ 4.1 kn 300Ws Ws q u 1Mpa N35 q u 250kN/m P N c P q = N / 40N/mm 2 1Mpa N 40 (4.7) R
38 28 4 P 0 C d s L W 2θ θ + δ θ + δ W W H R W H A B (1) τ W (4.1) 4.3 l a1 f Pa = π d τ l a1 B W f =2.5 d B P a τ W (4.1) (2) q (4.2) 4.4 a f Pa l = a2 (4.2) π d q B l a2 a 2 f =2.5 d B P a
39 q = kr k r 0.375cm τ W (4.2) (4.3) (q/a) (4.1) τ W a f Pa f Pa l a2= = π d q π d q / a B l a1 = l a2 q k r k τ = = = = 0. k W a B (4.3) (4.4) k k Ln( q ) = u q u (4.5) (4.4) (4.5) τ W 48.2Ln( q ) = u (4.6) (4.7) P.248 τ = q u /10 (4.7) 4.2 τ W 27 k (N/cm 3 ) k τ W τ q u 4.2 qu k
40 (4.1) l a f Pa = π d τ B W h r 3 l 1 l a 13m f =2.5 d B 4.3 P a τ W (4.6) τ W 48.2Ln( q ) = u 2 σ (4.8) qu 1/3 Pa qu σ = (4.8) π d l 3 a 3 h r h r 1m l310m l 3m h r l=l 1 +h r (m) (4.9) 5 4.4
41 P 0 W 4.1 P0 W = 2sin( θ + δ ) P0 W H = W cos( θ + δ ) = cot( θ + δ ) 2 θ =ACB/2, δ =2/3φ (4.10) (4.11) P 0 P 0 W CACB d s C L W 2θ θ + δ θ + δ W W H R R W H A B f R R = f WH P0 = f cot( θ + δ ) 2 f = tanφ φ (4.12) (4.13)
42 P 0 R P0 2R (4.14) (4.12) tan( θ + δ ) tanφ θ + δ φ (4.16) θ 1/2φ δ δ = 2 / 3 φ θ φ / 3 θ (4.15) W H 1 WH π d B laq (4.17) f d B l a 13m q =kr k r 2 1 f =2.5 f WH l a (4.18) π d B q a a f WH l = a (4.19) π d q B W H P a a f Pa l = a (4.20) π d q B a (=2.0) k P σ (4.8) qu 1/3 Pa σ = π d l a qu 3
43 h r 1m l310m l 3m (4.9) l = l 1 + (m) h r k (1/100mm) 2 y = x 10.63x R 2 = (kn) 4.5
44 kn L mm h cm N/cm L 4.5 A = d Bπ n ( 10 L) d B n 10cm n = 10 1m h = ( 7.5 /100 L) σ = P / A P 3 (4.6) (mm) (mm) (kn) 4.6
45 kN 250kN (4.7) k=982.8n/cm (N/cm 2 ) σ(n/cm 2 ) y = x R 2 = h (cm) No kn q u N/mm 2 N/cm 3 m φ mm RQD RQD ' RQD0 2' RQD12 3' RQD RQD RQD 1m 10cm
46 (N/cm 3 ) y = Ln(x) R 2 = (N/mm 2 ) 4.8 1) k 4.4 q u N/mm 2 N q u = 40 N
47 START END
48 No. 1 T kn/m 2 β 8 3 D 2 m 4 n 2 5 α 20 6 α + β 28 7 d B 115 mm 8 F S F P a kn/ 11 P 0 kn/m 12 P N 13 P T 14 s 20 m kn/m kn/m 15 q u 6 N/mm 2 T P T α + β S P N P 0 4.9
49 (1) P0 F s P 0 ( α + β ) ( α + β ) [ ] + P0 sin tanφ = [ ] P cos ( α + β ) + sin( α + β ) tanφ 0 Fs[ ] [ ] = F cos s P sin( α + β ) 0 T P0 = F s ( Fs F0 ) cos( α + β ) 0 = = = (kn/m) 1.20 cos ( 28.00) (2) P a P0 D P a = n = = (kn/) 2 (3) 566.3kN 800Ws110W658.8kN 4.5 ( mm ) ( mm ) kn(0.6t us ) 20W φ Ws W φ W φ W φ Ws W φ W φ W φ
50 (1) l a f Pa = π d τ B w (4.1) l a (13m) f = d B =115mm P a 566.3kN q 6N/mm 2 600N/cm 2 u q u 3 = 2.0 ( N/mm 2 ) τ w (4.6) 2 τ 48.2Ln( q ) = 181 (N/cm ) W = u P l a = = 217 π (cm)2.2m20cm l a 13m (2) σ (4.8) Pa σ = = = 71.3 (N/cm 2 ) q u /3200 N/cm 2 π d l B a (3) (4.9) l l a + h = = 3.2 (m) 3.0m = r
51 (4) 566.3kN/ 6N/mm 2 115mm 181N/cm 2 τ 48.2Ln( q ) m 1.0m 3.2m 20.0m 23.0m 4.7 τ w W = u
52 (1) l a a f Pa = π d q B (4.20) l a a f =2.5 d B 115mm P a W H P a q = kr k r 0.375cm 50mm P (2) k k= σ / h (N/cm (mm) mm kn (mm) mm
53 y = x σ'n/cm (N/cm 2 ) (3) 4.20) l = = 213 cm l a a 13 π 11.5 ( ) (4) σ (4.8) Pa σ = = = 71.3 (N/cm 2 ) q u /3200 N/cm 2 π d l B a h cm (5) (4.9) l = l a + hr = = 3. 2 m 3.0m (6) kN/ k N/cm 3 115mm 2.2m 1.0m 3.2m 20.0m 23.0m
54 τ (4.6) τ W 48.2Ln( q ) = u 4.10 (4.7) q τ = u P.110 (1) 1975 (2) (3) (4) (MN/m 2 ) N N JGS P.117
55 , N/mm MN/m (34) N/mm P τ τ τ (4.7) τ 1N/mm 2 τ 0.6N/mm 2
56 (1) 115mm (1) (2) 10mm mm 10mm P Deutsche Industrie-NormDIN-4125, cm 20mm P cm φ 90mm (10+10)+ 1039mm PC 1 115mm 10mm 69mm 86mm 4.13φ 90mm 4.14φ115mm
57 (2)
58 48 4.
59 (1) (2) 5.5
60 50 5 (3) (1) (2) 5.3
61 (1) (2) l1m MPa Ws φ 19mm (3) MPa 5.5
62 (1) ( )
63 (2)
64 54 5 (3) (1) 5.4 (2)
65
66 56 5
67 (a) 5% 3 (b) (1) (a) 0.1 (b) 510 (c) (d) /
68 58 6 (2) 50mm 5060mm mm 4 10cm 2 3 (3) τ P l 0 τ W = π d B a W la d B 3.22 P 0 50mm (6.1) (1) (a) (b) 0.1 (c)
69 (2) (3) (4.2) a f Pa l = a2 6.2 π d q B l a2 a f =2.5 d B P a q = kr k r 0.375cm (4.2) 2.5 a f Pa a Pa a Pa a Pa l a2= = = = π d Bq π d B k r / f π d B k / 2.5 π d B k 0.15 l 7.5/ l = = 2 (cm) 7.5 2cm 0.15cm 10cm 2cm 6.3
70 60 6 a a = 10 = a2 f a 2 f = = = 1.6 a F F = f f = = 4.0 F4.0 r l a2 F Pa = = π d q π d B B Pa = k r / F π d B Pa = k / 4.0 π d B P a k l = = 1.25 (cm) cm 0.9mm 2.0cm 1.5mm 50mm (1) (a) (b) 0.1 (c) (2)
71 (1) 15m φ 115mm 2m q = 10.35N/mm 2 u (2) kn (1) (2) (3) (4) (5) kN (3) 6.1
72 /100mm =
73 (1) kN (kn) (1/100mm) 6.4 (2) kN /100mm kn 6.5
74 (3) L = 0.002P L P P (6.2) 1/100mm L = 0.002P P kn 6.6 (4) (6.2) (6.2) (a) L (c) σ P σ = a A 6.2 (= ) kn L mm h mm A cm σ N / cm h = L (6.3) / (b) A A = π d Bn( 10 L) d B n L=10cm) P a W H P a σ
75 mm= 12.5mm 800kN 1.5mmP kN 2m q u =10.35N/mm 2 (mm) (mm) 6.7 σ kN (kn/cm 3 ) 250kN kN kN 50mm (N/mm 2 ) s N/mm y = x R 2 = h (cm) 6.8
76 (1) (2) k (N/cm 3 ) x y = e x y = e (m)
77 (3) 5cm 6.11 (l=5cm ) 6.11 (4) 50mm
78 68 6
79 Ws 800Ws kN/ Ws 800Ws 20W 40W 60W 70W 90W 110W 130W φ φ φφ φ φ φ φ φ φ φφ φ φ D H D L D L D D L D D 6 L D ( ) L D L mm mm mm mm mm mm mm mm 20W Ws W max55.5 max60 60W W Ws W W max66 max76 130W
80 Ws φ 115mm ( ) φ ( φ 115 ) Ws φ 115 NP130φ 300Ws φ 66mm φ 90mm ( ) φ ( φ 90 ) Ws φ 90mm NP110φ φ 66 ( ) φ ( φ 66 ) Ws φ 66mm φ 86mm NP110φ φ 66mm NP90φ
81 PC JIS G 3536 T us T ys (mm) (mm) mm 2 g/m (kn) (kn) (mm) (mm) (mm) g/m 7 B SWPR7AN SWPR7BL , ,723 (SWPR19N) (SWPR19L) , , kn T us T ys 0.6T us 0.9T ys 0.65T us mm mm mm mm kn kn kn kn kn W Ws W W W Ws W W 1, W 1,281 1, φ φ φ φ φ φ
82 l=120mm TYPE-1S kn N/mm 2 No No P l sa = U τ l sa P U τ 8N/mm cm 1m P
83 % (cm) (cm) (N) (cm) φ , φ , φ , Ws φ m TYPE-1S 750kN cm 7.5
84 No.1,2,3 7.7 No.3,4,5 7.8 No.6,7,8 7.9 No.8,9,10
85 PC S45C 7.7 φ φ φ φ H D PCD 60 PCD H D 7.6
86 SCM PC φ Ws φ Ws φ Ws φ Ws L (mm) Dmm D L (SS400 ) L D l L t 7.8
87 W 40W 60W 70W 90W 110W 130W L mm D mm t mm (1) π 2 (A)A = L L l (mm 2 ) 4 L l T d ( σ c ) σ = c A (N/mm2 )10.5N/mm 2 (=0.5 f ck ) T d f =24N/mm 2 ck (2) Td l e (M)M = (Nmm) 4 2 e L D t Z = (mm 3 ) 6 (Z) ( ) D t M (σ )σ = (N/mm 2 )140N/mm 2 Z (S)S = T (kn) (A s ) = π e t (mm 2 ) d A s S (τ )τ = (N/mm 2 )80N/mm 2 A s
88 SS D 1 D 2 L max30mm 300Ws Ws max55.5mm L L30 D 1 D ALC 7.11 L D 1 D 2 L D 1 D M kg kg M kg kg
89 L D 1 D FCD D 1 D 2 300Ws Ws D 1 D TYPE-1S 7.13 W kgm 3 1m 3 J , TYPE1S 7.14 C S mm TYPE1S 25kg 1/1 1.2mm 6
90 (a) 300Ws (b) 800Ws STKM 13A 7.15 D 1 D 2 300Ws Ws D 1 D
91 Ws S45C 7.16 D 1 D φ φ φ 20 D 2 D Ws STKM 13A 7.17 φ φ FCD SUS Ws Ws 55 67
92 (a) 300Ws SUS (b) 800Ws FCD S45C 7.19 L D Ws Ws L D
93 (STKM 13A ) L D 1 D 2 L D 3 D 4 300Ws Ws D 3 D 4 D 1 D
94 R mm 19mm mm 10 kgfcm 2 10 kgfcm 2 120m 50m100m 33mm 24mm 12mm 4mm PE
95 dtex 1100 d c 7.23 NP90 142mm 90mm NP110 NP130 NP mm mm 204mm 235mm mm mm W C 1 1m 3 1,230 kg 4555
96 86 7
97 PC SUPRO PC ,
98 88 8 (1) NDS F 8701F 8.2 (N/mm 2 ) No.SUPRO/SB 15.2mm SUPRO/SB 21.8mm No.1No No.6 1 (2) 300 PC 8.3 SUPRO/NM-19S15.2mmB + PE m 0.6Pu1,129N/mm 2 1,178N/mm 2 49N/mm 2 8.8mm FKK
99 (1) (2) FCD (3) (4) FCD SUS304 STKM 13A S45C (a) 300Ws Ws
100 90 8 (b) 800Ws Ws (5) (6) STKM 13A
101 (1) (1) (SS400 ) (2) (ALC) (3) SS400 PC 8.5
102 92 8
103 SI 93 SI SI kg ()m ( )s ( ) N (kg) (m/s 2 2 ) N 1 N = 1kg 1m/s 1N/m 2 =Pa1 kn/m 2 =kpa 1. SI Mgkgg t (ton) mmmm µ cm km 2 m mm 2 m mm MN/m 2, kn/m 2 N 2. SI 1kgf 9.81N 1kgf/cm 2 =10tf/m 2 1tf/m 2 1gf/cm 3 =1tf/m kN/m 3 SI 98.1kN/m 2 =98.1kPa=0.0981MPa 9.81kN/m 2 =9.81kPa= MPa 1g/cms 0.1Ns/m 2 =0.1Pas 1kgfm 9.81Nm SI ρ w 1 kg/cm 3 Mg/m kg/m 3 kg/cm γ 1 gf/cm = 1tf/m 9.81kN/m w 9.81m/s 2 γ kn/m 9.81 ρ g/cm 3 Mg/ 3
104 94 1) JGS ) ) ) ) ) ) ) ) ) ) ) ) J.A.Hudson 朓 ) ) ) ) ) ) ) 43 pp ) ) e No ) ) ) ) 2005, ) ) ) )
105 TEL FAX
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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
[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
1.500 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
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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
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
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( ) c a sin b c b c a cos a c b c a tan b a b cos sin a c b c a ccos b csin (4) Ma k Mg a (Gal) g(98gal) (Gal) a max (K-E) kh Zck.85.6. 4 Ma g a k a g k D τ f c + σ tanφ σ 3 3 /A τ f3 S S τ A σ /A σ /A
(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
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
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) 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
Note.tex 2008/09/19( )
1 20 9 19 2 1 5 1.1........................ 5 1.2............................. 8 2 9 2.1............................. 9 2.2.............................. 10 3 13 3.1.............................. 13 3.2..................................
16 6 12 1 16 6 23 23 11 16 START 1 Out Ok 1,2 Ok END Out 3 1 1/ H24.2 2 1 L2-1 L2-2 H14.3 3 H9.10 PHC SC 19 1 24 3 18N/mm 2 24N/mm 2 30N/mm 2 25 10 13 12 13 12 11 11 11 11 19 7 25 10 24N 8cm 25(20)mm 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)
( ) 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
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
26 1 22 10 1 2 3 4 5 6 30.0 cm 1.59 kg 110kPa, 42.1 C, 18.0m/s 107kPa c p =1.02kJ/kgK 278J/kgK 30.0 C, 250kPa (c p = 1.02kJ/kgK, R = 287J/kgK) 18.0 C m/s 16.9 C 320kPa 270 m/s C c p = 1.02kJ/kgK, R = 292J/kgK
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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
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.
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.m 5m :.45.4m.m 3.m.6m (N/mm ).8.6 σ.4 h.m. h.68m h(m) b.35m θ4..5.5.5 -. σ ta.n/mm c 3kN/m 3 w 9.8kN/m 3 -.4 ck 6N/mm -.6 σ -.8 3 () :. 4 5 3.75m :. 7.m :. 874mm 4 865mm mm/ :. 7.m 4.m 4.m 6 7 4. 3.5
12
12 1 2 3 4 5 6 1.2 AFRP (3.4.1)(3.4.3) ht M = 1.2M By0 M Ty0 h A n MBy0 h B AF p = 1000 = t AF AAF b 7 / 8 AF B M σ AFb h (tf m) (m) M T y0 (tf m) h T (m) M (tf m) AAF AFRPcm 2 σafb AFRPkgf/cm 2 σ AFb
橡博論表紙.PDF
Study on Retaining Wall Design For Circular Deep Shaft Undergoing Lateral Pressure During Construction 2003 3 Study on Retaining Wall Design For Circular Deep Shaft Undergoing Lateral Pressure During Construction
(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.
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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 =
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最新耐震構造解析 ( 第 3 版 ) 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, 第 3 版 1 刷発行時のものです.
最新耐震構造解析 ( 第 3 版 ) 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. http://www.morikita.co.jp/books/mid/052093 このサンプルページの内容は, 第 3 版 1 刷発行時のものです. i 3 10 3 2000 2007 26 8 2 SI SI 20 1996 2000 SI 15 3 ii 1 56 6
[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] 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](/thumbs/101/152334931.jpg "[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")
3.4.7 [.] =e j(t+/4), =5e j(t+/3), 3 =3e j(t+/6) ~ = ~ + ~ + ~ 3 = e j(t+φ) =(e 4 j +5e 3 j +3e 6 j )e jt = e jφ e jt cos φ =cos 4 +5cos 3 +3cos 6 =.69 sin φ =sin 4 +5sin 3 +3sin 6 =.9 =.69 +.9 =7.74 [.]
1 1.1 [ 1] velocity [/s] 8 4 (1) MKS? (2) MKS? 1.2 [ 2] (1) (42.195k) k 2 (2) (3) k/hr [ 3] t = 0
![1 1.1 [ 1] velocity [/s] 8 4 (1) MKS? (2) MKS? 1.2 [ 2] (1) (42.195k) k 2 (2) (3) k/hr [ 3] t = 0](/thumbs/93/114340663.jpg "1 1.1 [ 1] velocity [/s] 8 4 (1) MKS? (2) MKS? 1.2 [ 2] (1) (42.195k) k 2 (2) (3) k/hr [ 3] t = 0")
: 2016 4 1 1 2 1.1......................................... 2 1.2................................... 2 2 2 2.1........................................ 2 2.2......................................... 3 2.3.........................................
dynamics-solution2.dvi
1 1. (1) a + b = i +3i + k () a b =5i 5j +3k (3) a b =1 (4) a b = 7i j +1k. a = 14 l =/ 14, m=1/ 14, n=3/ 14 3. 4. 5. df (t) d [a(t)e(t)] =ti +9t j +4k, = d a(t) d[a(t)e(t)] e(t)+ da(t) d f (t) =i +18tj
数学の基礎訓練I
I 9 6 13 1 1 1.1............... 1 1................ 1 1.3.................... 1.4............... 1.4.1.............. 1.4................. 3 1.4.3........... 3 1.4.4.. 3 1.5.......... 3 1.5.1..............
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,
II No.01 [n/2] [1]H n (x) H n (x) = ( 1) r n! r!(n 2r)! (2x)n 2r. r=0 [2]H n (x) n,, H n ( x) = ( 1) n H n (x). [3] H n (x) = ( 1) n dn x2 e dx n e x2
![II No.01 [n/2] [1]H n (x) H n (x) = ( 1) r n! r!(n 2r)! (2x)n 2r. r=0 [2]H n (x) n,, H n ( x) = ( 1) n H n (x). [3] H n (x) = ( 1) n dn x2 e dx n e x2](/thumbs/101/149159646.jpg "II No.01 [n/2] [1]H n (x) H n (x) = ( 1) r n! r!(n 2r)! (2x)n 2r. r=0 [2]H n (x) n,, H n ( x) = ( 1) n H n (x). [3] H n (x) = ( 1) n dn x2 e dx n e x2")
II No.1 [n/] [1]H n x) H n x) = 1) r n! r!n r)! x)n r r= []H n x) n,, H n x) = 1) n H n x) [3] H n x) = 1) n dn x e dx n e x [4] H n+1 x) = xh n x) nh n 1 x) ) d dx x H n x) = H n+1 x) d dx H nx) = nh
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I 6 4 10 1 1 1.1............... 1 1................ 1 1.3.................... 1.4............... 1.4.1.............. 1.4................. 1.4.3........... 3 1.4.4.. 3 1.5.......... 3 1.5.1..............
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
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基礎数学I
I & II ii ii........... 22................. 25 12............... 28.................. 28.................... 31............. 32.................. 34 3 1 9.................... 1....................... 1............
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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%
( ) 2002 1 1 1 1.1....................................... 1 1.1.1................................. 1 1.1.2................................. 1 1.1.3................... 3 1.1.4......................................
gr09.dvi
.1, θ, ϕ d = A, t dt + B, t dtd + C, t d + D, t dθ +in θdϕ.1.1 t { = f1,t t = f,t { D, t = B, t =.1. t A, tdt e φ,t dt, C, td e λ,t d.1.3,t, t d = e φ,t dt + e λ,t d + dθ +in θdϕ.1.4 { = f1,t t = f,t {
1 12 ( )150 ( ( ) ) x M x 0 1 M 2 5x 2 + 4x + 3 x 2 1 M x M 2 1 M x (x + 1) 2 (1) x 2 + x + 1 M (2) 1 3 M (3) x 4 +
( )5 ( ( ) ) 4 6 7 9 M M 5 + 4 + M + M M + ( + ) () + + M () M () 4 + + M a b y = a + b a > () a b () y V a () V a b V n f() = n k= k k () < f() = log( ) t dt log () n+ (i) dt t (n + ) (ii) < t dt n+ n
さくらの個別指導 ( さくら教育研究所 ) A a 1 a 2 a 3 a n {a n } a 1 a n n n 1 n n 0 a n = 1 n 1 n n O n {a n } n a n α {a n } α {a
... A a a a 3 a n {a n } a a n n 3 n n n 0 a n = n n n O 3 4 5 6 n {a n } n a n α {a n } α {a n } α α {a n } a n n a n α a n = α n n 0 n = 0 3 4. ()..0.00 + (0.) n () 0. 0.0 0.00 ( 0.) n 0 0 c c c c c
(Compton Scattering) Beaming 1 exp [i (k x ωt)] k λ k = 2π/λ ω = 2πν k = ω/c k x ωt ( ω ) k α c, k k x ωt η αβ k α x β diag( + ++) x β = (ct, x) O O x
![(Compton Scattering) Beaming 1 exp [i (k x ωt)] k λ k = 2π/λ ω = 2πν k = ω/c k x ωt ( ω ) k α c, k k x ωt η αβ k α x β diag( + ++) x β = (ct, x) O O x](/thumbs/104/162595168.jpg "(Compton Scattering) Beaming 1 exp [i (k x ωt)] k λ k = 2π/λ ω = 2πν k = ω/c k x ωt ( ω ) k α c, k k x ωt η αβ k α x β diag( + ++) x β = (ct, x) O O x")
Compton Scattering Beaming exp [i k x ωt] k λ k π/λ ω πν k ω/c k x ωt ω k α c, k k x ωt η αβ k α x β diag + ++ x β ct, x O O x O O v k α k α β, γ k γ k βk, k γ k + βk k γ k k, k γ k + βk 3 k k 4 k 3 k
TOP URL 1
TOP URL http://amonphys.web.fc2.com/ 1 30 3 30.1.............. 3 30.2........................... 4 30.3...................... 5 30.4........................ 6 30.5.................................. 8 30.6...............................
x, y x 3 y xy 3 x 2 y + xy 2 x 3 + y 3 = x 3 y xy 3 x 2 y + xy 2 x 3 + y 3 = 15 xy (x y) (x + y) xy (x y) (x y) ( x 2 + xy + y 2) = 15 (x y)
x, y x 3 y xy 3 x 2 y + xy 2 x 3 + y 3 = 15 1 1977 x 3 y xy 3 x 2 y + xy 2 x 3 + y 3 = 15 xy (x y) (x + y) xy (x y) (x y) ( x 2 + xy + y 2) = 15 (x y) ( x 2 y + xy 2 x 2 2xy y 2) = 15 (x y) (x + y) (xy
7 π L int = gψ(x)ψ(x)φ(x) + (7.4) [ ] p ψ N = n (7.5) π (π +,π 0,π ) ψ (σ, σ, σ )ψ ( A) σ τ ( L int = gψψφ g N τ ) N π * ) (7.6) π π = (π, π, π ) π ±
![7 π L int = gψ(x)ψ(x)φ(x) + (7.4) [ ] p ψ N = n (7.5) π (π +,π 0,π ) ψ (σ, σ, σ )ψ ( A) σ τ ( L int = gψψφ g N τ ) N π * ) (7.6) π π = (π, π, π ) π ±](/thumbs/91/106462075.jpg "7 π L int = gψ(x)ψ(x)φ(x) + (7.4) [ ] p ψ N = n (7.5) π (π +,π 0,π ) ψ (σ, σ, σ )ψ ( A) σ τ ( L int = gψψφ g N τ ) N π * ) (7.6) π π = (π, π, π ) π ±")
7 7. ( ) SU() SU() 9 ( MeV) p 98.8 π + π 0 n 99.57 9.57 97.4 497.70 δm m 0.4%.% 0.% 0.8% π 9.57 4.96 Σ + Σ 0 Σ 89.6 9.46 K + K 0 49.67 (7.) p p = αp + βn, n n = γp + δn (7.a) [ ] p ψ ψ = Uψ, U = n [ α