12

Similar documents
NETES No.CG V


all.dvi

1 (1) (2) 2

(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

A(6, 13) B(1, 1) 65 y C 2 A(2, 1) B( 3, 2) C 66 x + 2y 1 = 0 2 A(1, 1) B(3, 0) P 67 3 A(3, 3) B(1, 2) C(4, 0) (1) ABC G (2) 3 A B C P 6

高校生の就職への数学II

日本内科学会雑誌第102巻第4号

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

48 * *2

29

untitled


Note.tex 2008/09/19( )


空き容量一覧表(154kV以上)

高等学校学習指導要領解説 数学編

2/8 一次二次当該 42 AX 変圧器 なし 43 AY 変圧器 なし 44 BA 変圧器 なし 45 BB 変圧器 なし 46 BC 変圧器 なし

70 : 20 : A B (20 ) (30 ) 50 1


t θ, τ, α, β S(, 0 P sin(θ P θ S x cos(θ SP = θ P (cos(θ, sin(θ sin(θ P t tan(θ θ 0 cos(θ tan(θ = sin(θ cos(θ ( 0t tan(θ

1 (1) (2) 2

K E N Z OU

SO(2)

6 2 2 x y x y t P P = P t P = I P P P ( ) ( ) ,, ( ) ( ) cos θ sin θ cos θ sin θ, sin θ cos θ sin θ cos θ y x θ x θ P

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

untitled

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

(1) 3 A B E e AE = e AB OE = OA + e AB = (1 35 e ) e OE z 1 1 e E xy e = 0 e = 5 OE = ( 2 0 0) E ( 2 0 0) (2) 3 E P Q k EQ = k EP E y 0

untitled

IMO 1 n, 21n n (x + 2x 1) + (x 2x 1) = A, x, (a) A = 2, (b) A = 1, (c) A = 2?, 3 a, b, c cos x a cos 2 x + b cos x + c = 0 cos 2x a

知能科学:ニューラルネットワーク

知能科学:ニューラルネットワーク

I A A441 : April 15, 2013 Version : 1.1 I Kawahira, Tomoki TA (Shigehiro, Yoshida )

A (1) = 4 A( 1, 4) 1 A 4 () = tan A(0, 0) π A π

名古屋工業大の数学 2000 年 ~2015 年 大学入試数学動画解説サイト

#A A A F, F d F P + F P = d P F, F y P F F x A.1 ( α, 0), (α, 0) α > 0) (x, y) (x + α) 2 + y 2, (x α) 2 + y 2 d (x + α)2 + y 2 + (x α) 2 + y 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)

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 {

Gauss Gauss ɛ 0 E ds = Q (1) xy σ (x, y, z) (2) a ρ(x, y, z) = x 2 + y 2 (r, θ, φ) (1) xy A Gauss ɛ 0 E ds = ɛ 0 EA Q = ρa ɛ 0 EA = ρea E = (ρ/ɛ 0 )e

untitled

1 I 1.1 ± e = = - = C C MKSA [m], [Kg] [s] [A] 1C 1A 1 MKSA 1C 1C +q q +q q 1

0.6 A = ( 0 ),. () A. () x n+ = x n+ + x n (n ) {x n }, x, x., (x, x ) = (0, ) e, (x, x ) = (, 0) e, {x n }, T, e, e T A. (3) A n {x n }, (x, x ) = (,

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


untitled


さくらの個別指導 ( さくら教育研究所 ) A 2 2 Q ABC 2 1 BC AB, AC AB, BC AC 1 B BC AB = QR PQ = 1 2 AC AB = PR 3 PQ = 2 BC AC = QR PR = 1

(1) θ a = 5(cm) θ c = 4(cm) b = 3(cm) (2) ABC A A BC AD 10cm BC B D C 99 (1) A B 10m O AOB 37 sin 37 = cos 37 = tan 37


9 2 1 f(x, y) = xy sin x cos y x y cos y y x sin x d (x, y) = y cos y (x sin x) = y cos y(sin x + x cos x) x dx d (x, y) = x sin x (y cos y) = x sin x

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

O E ( ) A a A A(a) O ( ) (1) O O () 467

meiji_resume_1.PDF

2 1 1 α = a + bi(a, b R) α (conjugate) α = a bi α (absolute value) α = a 2 + b 2 α (norm) N(α) = a 2 + b 2 = αα = α 2 α (spure) (trace) 1 1. a R aα =

, 1 ( f n (x))dx d dx ( f n (x)) 1 f n (x)dx d dx f n(x) lim f n (x) = [, 1] x f n (x) = n x x 1 f n (x) = x f n (x) = x 1 x n n f n(x) = [, 1] f n (x

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 +

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] convention Minkovski i Polchinski [2] 1 Clifford Spin 1 2 Euclid Clifford 2 3 Euclid Spin 6 4 Euclid Pin Clifford Spin 10 A 12 B 17 1 Cliffo


I II

Part () () Γ Part ,

(1) (kn/m 3 )

lim lim lim lim 0 0 d lim 5. d 0 d d d d d d 0 0 lim lim 0 d

1 29 ( ) I II III A B (120 ) 2 5 I II III A B (120 ) 1, 6 8 I II A B (120 ) 1, 6, 7 I II A B (100 ) 1 OAB A B OA = 2 OA OB = 3 OB A B 2 :

DE-resume

電中研レビュー No48

1 2 1 AR AR AR AR 2

PDF

untitled

x = a 1 f (a r, a + r) f(a) r a f f(a) 2 2. (a, b) 2 f (a, b) r f(a, b) r (a, b) f f(a, b)

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 +

untitled

( )

No δs δs = r + δr r = δr (3) δs δs = r r = δr + u(r + δr, t) u(r, t) (4) δr = (δx, δy, δz) u i (r + δr, t) u i (r, t) = u i x j δx j (5) δs 2

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

The Physics of Atmospheres CAPTER :

II Karel Švadlenka * [1] 1.1* 5 23 m d2 x dt 2 = cdx kx + mg dt. c, g, k, m 1.2* u = au + bv v = cu + dv v u a, b, c, d R

QMII_10.dvi

.3. (x, x = (, u = = 4 (, x x = 4 x, x 0 x = 0 x = 4 x.4. ( z + z = 8 z, z 0 (z, z = (0, 8, (,, (8, 0 3 (0, 8, (,, (8, 0 z = z 4 z (g f(x = g(

1

C: PC H19 A5 2.BUN Ohm s law

all.dvi


: , 2.0, 3.0, 2.0, (%) ( 2.


医系の統計入門第 2 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 2 版 1 刷発行時のものです.

熊本県数学問題正解

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

1/1 lim f(x, y) (x,y) (a,b) ( ) ( ) lim limf(x, y) lim lim f(x, y) x a y b y b x a ( ) ( ) xy x lim lim lim lim x y x y x + y y x x + y x x lim x x 1

limit&derivative

.1 A cos 2π 3 sin 2π 3 sin 2π 3 cos 2π 3 T ra 2 deta T ra 2 deta T ra 2 deta a + d 2 ad bc a 2 + d 2 + ad + bc A 3 a b a 2 + bc ba + d c d ca + d bc +

5. 5.1,, V, ,, ( 5.1), 5.2.2,,,,,,,,,, 5.2.3, 5.2 L1, L2, L3 3-1, 2-2, 1-3,,, L1, L3, L2, ,,, ( 5.3),,, N 3 L 2 S L 1 L 3 5.1: 5.2: 1

研修コーナー

2007年08月号 022416/0812 会告

ε

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,,

() (, y) E(, y) () E(, y) (3) q ( ) () E(, y) = k q q (, y) () E(, y) = k r r (3).3 [.7 ] f y = f y () f(, y) = y () f(, y) = tan y y ( ) () f y = f y

Transcription:

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 = E AF ε AFb EAF εafb h np taf baf AFRP 1.0 cm AFRP AFRPcm AFRPcm AFRP 1) laf 7

laf σ AFb n t AF l AFn = τ lafn taf τaf AF nafrpcm AFRPcm AFRPkgf/cm 2 AFn 8

( PS)AFRP P A n AF p PS Pu PS AAF σafd b d np taf S = P u A = 2 t P AF AFd AF S PS 1.15 = σ d kgf kgf kgf AFRPcm 2 AFRPkgf/cm 2 cm cm AFRP AFRPcm AFRP PSPSAFRP AFRP ()AFRP AF 1mθAF n p PS 1.15 = 2 0.6 P d P AFu AFu (kgf/cm) (tf/m) 9

10

n ε c E c ε c c n 1 1 1 0 ε cc σ c = σ E ε ε ε ε ε ( ε ε ) cc ( ) ( ) cc des c cc cc c cu n = E cε cc E ε σ c cc cc E AF σcc = σck + 38. α σsy ρ + s ρaf E s σ sy E AF ε cc = 0. 002 + 0. 033 β ρ + s ρaf σ E s ck E AF = 05. E S σ' = σ + 38. α( ρ σ + 04. ρ σ ) cc ck s sy AF AFd ( ) 1 ε cc = 0002. + 0033. β ρ sσ sy + 04. ρ AF σ AFd σ ck E des = 2 ck 112. σ ρ σ + 22. ρ σ s sy AF AFd ε cu = ε ε cc+ cc 02. σ E des cc Ι ΙΙ σ cc 08. σ E des = ε ε 4 Ah ρ = s s d AF cu AF cc cc 4 A 4 AF npt ρ = = AF s d d AF AF 11

c kgf/cm 2 cc kgf/cm 2 ck kgf/cm 2 c cc cu E c E AF E des s AF A h A AF s s AF d kgf/cm 2 3.3.3 kgf/cm 2 2.3 kgf/cm 2 0.018 cm 2 cm 2 cm cm cm d AF cm sy kgf/cm 2 AFd kgf/cm 2 3.2 t AF n p cm,=1.0=1.0=0.2 =0.4 12

cc cu 2.2 E des ( s sy + AF AF )/ ck 13

14

0

15

16

17

18

19

20

21

22

0

23

(mm) 12.5 5 100 5 200 24

F u AFu AFu= F u /A AFukgf/cm 2 F u kgf Acm 2 EAF=F/(*A) EAF F 25

(10 3 kgf/cm 2 ) 26

27

425/623/,200/, 300/ L 300 15cm 28

29

30

31

32

AFRP AFRP AFRP AFRP -2.1 40cm 80cm 600cm -1(AK-60)-2(AT-60) AFRP () -2.1 AFRP 3 K-3 K-3F 5 K-3F kgf/cm 2 *1*2 33

100 80 60 40 100 80 60 40 20 20 0 0 40 80 120 160 0 0 40 80 120 160 (a)k-3 (b)k-3f 100 80 60 40 100 80 60 40 20 20 0 0 40 80 120 160 0 0 40 80 120 160 (c)- (d)-3f AFRP (3.4.5) K-3 4.6kgf/cm 2 K-5F 12.9kgf/cm 2 AFRP 100 80 60 40 20 0 0 4 8 12 16 20 34

10 kgf/cm 2 1.40.150.15m 4.00.40.4m AFRP AFRP 4.5 kgf/cm 2 7.5 kgf/cm 2 220cm 60 50 40 30 20 10 0 0 2 4 6 8 10 12 20 15 10 5 0 0 2 4 6 35

AFRP () () () () 15cm 15cm 140cm D10 D10 90 30 150 D10-@60 30 90 150 30 30 100 400 200 1400 36

A 100 1200 100 B 100 30 1200 30 100 D 100 200 800 200 100. (g/m 2 ) 200Ac A 200 200Bc B 200 150Bc B 150 150Dc D 150 150Dn D 150 AFRP 200Ac200Bc150Bc AFRP 150Dc150Dn AFRP AFRP 1.0 37

8.0 6.0 4.0 2.0 0.0 0 10 20 30 40 50 (tf) (tf) 3.9 3.5 200Ac 7.3 6.7 1.21 200Bc 6.9 6.9 1.00 150Bc 6.2 6.1 1.05 AFRP α=(pupc)(pcalpc) Pu Pc Pcal 38

P s S c S s S AF S c S s P = S + S + S S s c c s AF = 10 C C C τ bd c e pt c S s = Awσ sy d (sinθ + cosθ ) 10 1.15a P s S c τ c C c C e C pt S s A w σ sy θ a S AF σ AFk K AF 39

S AF = A AF ( K AF σ AFk ) d (sinθ 10 1.15 a AF AF + cosθ AF ) S AF A AF K AF σ AFk θ AF a AF S AF.exp S AF. truss AFRP ρ AAF baaf σ σ K AF K AF σ σ σ K AF σ 40

S AF = A AF σ d (sinθ + cosθ ) AFd AF AF 10 1.15 a AF σ AFd S AF 41

42

() 43

44

45

46

47

48

49

AFRP EA 50

cc cc E des cu cu AFRP cu cu 3.6.63.6.7 cu ssy+afafck 3.6.1 3.6.2 3.6.63.6.7 0.4 2.2 ssy+afafck 51

240kgf/cm 2 Ar-No1No3 cu cu 52

53

54

55