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1
2 - D.J.Varnes Crown Main ScrapTop Head Transverse CrackMinor Scrap LongitudinalFault Zone Surface of Rupture Foot Transverse RidgeTip ToeRight Flank
3 ph RpH -3-
4 -5-4-
5
6 kh JIS A115-6-
7 -7-1
8 -8- 隙
9 隙 w -6-1 w utan -6- c' ' 隙 隙 隙 u 汲 1 汲 汲 -9-
10 k= -6-3 k Rw t1 t h1 h L rw Thiem 1 ) )log( log( ) ( (.3) 1 1 h h L t t L R w w
11 kh hw lnr/rw kh h =lnr/r -6-4 k H hw h r Px y R rw r TH hw lnr/rw TH h=lnr/r -6-5 =kbw bw kh hw lnr /a1rw kh h = lnr/d1 lnr/d -6-6 a1 d1x y dx a1 y TH hw lnr /a1rw TH h= lnr/d1 lnr/d
12 kh hw lna1/rw kh h =lnd/d1-6-8 TH hw lna1/rw TH h=lnd/d
13
14
15 Fs 1.0 隙 1 Janbu Janbu Janbu 1 c'b Wub tan' Ff 0 WtanQ n n cos 1 tan tan'/f f 0 50 d L 1/33.6 f 0 d/l 0.0 f kn/m W -15-
16 c' b m u 隙 ' L d L L -10 SHIN-Janbu- -11 SHIN-Janbu Janbu a a ' a a' n 1 n 1 Ff 0 n1 l1 n1 l1 c'b Wub tan' n Wn' tan' n, n1 W tan Wn' tann1q -10- Wn n ( kn / m Wn' n Wn V cos V 1 w Z w /sin ) ( kn / m ) QVsin 1 w Z w w ( kn / m ) Z w m f 0 Janbu -16-
17 -1-13 V a-a' b-b' n c'b Wub tan' Ff 0 l1 n n l1 WtanQE Wn 1/ h+h'b+vcos -1/ - 'Z w cot WnkN ' Z w a' m ( kn / m ) Bishop Bishop F 1 Wsin c'b Wub tan' cos sin tan'/f Fellenius F c'l Wcosul tan' Wsin l 1 Fellenius -17-
18 F c'l Wub costan' Wsin Bishop F 1 u WsinPcos 1 u 4r r cos c'b W'XPsin tan' cos sin tan' F W' kn/m P wi V wsin ub X Xn Xn X 0 Janbu 1 F W 'X tan P sin tancos EbEa c'b W'XPsin tan' na W'kN/m X X 0 P kn/m Ea kn/m Eb kn/m 3 隙 -18-
19 Bishop F 1 Wsin+Ucos c'b Wub tan' cos sin tan'/f W kn/m b m c' ' u 隙 U kn/m ( kn / m ) Janbu F 1 c'b WV ub tan' WV tanu Q n n cos 1 tan tan'/f V kn/m Hovland FelleniusFellenius Bishop Janbu 1 Lamb Whitman
20 F A Leshchinsky F3D A1F1AFA3F3 A1AA F3D F1 F F3 A1 A A3-15 '' '' '' c' c'' '' ' ' ' R -0-
21 p R pr p r '-tan ' A B A B -16 c'-tan ' 隙 隙 隙 隙 隙 隙 隙 隙
22 --
23
24 -4- -1
25 m
26 1 d s d bw sinh1 exp (x) sin 1 d a 4-3- r 0 x ln sinh bw k s 0s / q q k s 0 sinh ( R / b w ) ln sinh ( r 0 / bw ) L s m s 0 H h 0 m h 0 r 0 H m h0 m b w m k m/s R m s m a m d 1/ m
27 d h q 0d h ak d ln r 0 r 0 1 d H 1 q 0 0 k ln ( R / r 0 ), 0 H 1 R h m hmax m q 0 r 0 m m/s k m/s / hmax/d H1 m m 3 /s 1 R R 575s k bw ( m ) R m b w s0 H h 0 m k m/s h0 m R R575s 0 kh ( m ) R m H m h0 m -7-
28 1 0m A max A mkn/m maxkn/m A =tan 45 - c - tan 45 - h kn/m kn/m 3 m P= 1 H tan chtan c kn/m m p= 1 3m- h m H 3 H h P
29 p max 3(3 4m) 4( 3m) P H h' 3 4m H 4( 3m) p hmkn/m pmaxkn/m m P H m O.55 h'm Hm kn/m = 1 H tan chtan c pmax 4-13 pmax p 1 h tan (45 ) p p p 3 4 h 1 1 { h 1 tan (45 ) c 1 { h 1 1 ( h ( h tan(45 ) h1 )}tan (45 ) c 3 h1 )}tan (45 ) c3 tan(45 ) 3 tan(45 ) p { 1h1 ( h h1 ) 3( h3 h )}tan (45 ) c3 tan(45 ) 4-3-1, 1, h, h 1 h, 3 3 kn/m 3 m -9-
30 , 1, 3 c, c 1 c, 3 kn/m max U0P Mmax=PR U0+ Pcr-P PU0R = 1-P/Pcr 4-3- max = max 1.0 m 0 cr =1.5 EI R 3 = 3EI R /
31 max max PR A +Mmax Z a max a auo Pap Pa p ( 1 + A Z Uo)Pcr + a A R p a A Pcr =0 R L AL = AL + A Hl AHl H = AL +A Hl ALm AHm -31-
32 M IL L = IL +I Hl H IHl = IL + IHl ILm4 IHm4 L = LN A L LM Z L La H = ( HN A H HM Z H )l H a ZL ZH M 4-3- Mmax max A' L A L / L A' H A H / H Z' L Z L / L Z' H Z H / H p p A' L [( 1 U 0 ) p Z ' L cr La A' R L ] p La A' R L p cr p A' H [( 1 U 0 ) p Z ' H cr Ha A' L / ] p R Ha A' H / R p cr m -3-
33 m 1 Hazen-Williams Q = A C 0.63 I m3/s A:m 100 D/4 m Manning Q= 1 n A R /3 I 1/ Q = 1 1+fe+(L/D) A = 14.5 n / 1/ gm/s Hm fe 0.5 m L D -33-
34 Q = 0.8 A gh D /D
35 m 5m FEM -35-
36 -36-1
37 3 F0 F 1 Fellenius Fellenius Pu FF0 T Pmu FF0 F T Pu kn/m Pmu kn/m T kn/m Bishop Janbu Pu FTf0S f 0 Pmu FTf0S F 4-4- S f0bishop f0 1 1 Fellenius Fellenius Bishop Hu Pucos Hmu Pmucos Vu Pusin Vmu Pmusin
38 Hu kn/m Hmu kn/m Vu kn/m Vmu kn/m Janbu Hu Pu Hmu Pmu Vu 0 Vmu Y.L.Chang kh1d 4EI, khd 4EI n 1 kh1 kh h1 h 1 m -1 mkn m -38-
39 4-1 z1 h1 z 1 z 13 h 1z 1 3h 1 z n4 h 13 h Hu EI n 4 h 1 z 1 3 h1 z1h HukN/m z Mmax Smax M max B xp C D B M B 4E1h 81 z h C D Mx ph x h p 3 E 1h 6zx4 zxp h3h x pz H E 1 h 3zh z E 3E h zh Mmax max MB, Mxp S max B SB SB B B B B -39-
40 B S E 1h B 3z h B S BH E1h 7 3z 4 3 h Smax max SB, SB EI 490N/mm H JIS 4- E N/mm
41 D aa D s 0S max Smax Dm Nf a Nf1 A A S a Mmax Z Ma Mmax a D y ymax 4-4- Dsm Dmm Dy m Sa Ma knkn m a a kn/m a m A Z m m 3 Smax kn/m max max knm/m 0 3d 6dt4t 3 d dtt d tm 0.0 Nf1 kn Nf kn/m -41-
42 m 1 DSmax max a 0 A max kn/m Smax D m a kn/m kn/m 0 3d 6dt4t 3 d dtt d tm 0.0 Nf1DNf A DMmax a Z kn/m Nf1 kn Nf kn/m -4-
43 A m Z m 3 Mmax D m a kn/m kn m/m 3 yma D Ymax cm Ymax Dymax Ya Ya QkN Qp1 Qp H 1 1 Qp13d 1 1h1 Kp1c1h1 Kp1 fs Qp3d 1 1 h 1h1h Kpch Kp fs kn/m 3 d m Kp tan 45 fs
44 1 lr tan l l r.5 y y l r m Fd 1 Fd Fd Fd d S F d d Tr ' scos Fd d S d T r's cos 1-44-
45 Fd Fp r's d SFd d T r ' s Fd sec d S Fp Rs r's Rs Rs Hmu Hmu Ru Ru d S d T d S d T F 1.0 Hu Ru Hu Hu Ru 0.7Hu Ru 0.7Hu FAXY
46
47 b H p P p' P' R' O h' O kh k 6-15 k' a= h'h 0 O k3=0 k3 y h'+y p3 O m3 l / 3 1 p3 k3l3 (3h' 3l l 6 1 m3 k3l3 (6l (6h' 8l3 ) l (3l 3 4h') l 1 3 ) p 1, p p 1 ', p ' c H P P' R' P b ( p1' p1 p p3) P' bp ' R' k S ( h' l') A A A' ks ' kv =1/3 1/4 k V 3 ) ( l l3) l -47-
48 ks kv k0 30cm N k k 1.8k 0 B 3 / B =b k 0 E 0 / 30, =1 E0 8N 0% H ( h') b{ p1 ' c1 ' p1( h' c1 ) p ( h' l1 c ) m3 p3h' } b p ' c ' R'( l' h') M B ' M B ' q 1, q 4 4 M B ' b kv ( ) q q 1, W ( l l') U A k b W U V M B 4 ' kv b q 1 k V b sin cos ( ) sin A' b ( sin cos ) h' 4-3 ' -48-
49 JGS
50 3-8 1 P Fellenius P=F F0 / F sec T F F= S T R R R=P cos : : F0 F0 S T T W sin S Janbu P T S F sec cos F= S T Q R R=P cos cos F0 S T Q T= W tan S Q 50 L 1/33.6 /L L L L Bishop P=F T- S Fcos Bishop Janbu F P P F -50-
51 P Fellenius P= T F F0 F cos sin tan Janbu P F T SFcos cos sin tan '/n cos 1+tan tan F Bishop P=F T SFcos+ sin tan '/cos +sin tan /F m.0m 4.0m s
52 d d d n dkn KN n mm 1-5-
53 JGS Lsa Td Lsa Uba Lsa d ba La La Td fs da La A fs
54 hr 3mkP c k0 tan hr mk 1.5 ckpa k0 1 錆 錆 -54-
55
56 -56-
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
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3.300 m 0.500 m 0.300 m 0.300 m 0.300 m 0.500 m 0 m 1.000 m 2.000 m 0 m 0 m 0.300 m 0.300 m -0.200 he 0.400 m T 0.200 m 1.50 m 0.16 2 24.5 N/ 3 18.0 N/ 3 28.0 18.7 18.7 14.0 14.0 X(m) 1.000 2.000 20 Y(m)
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1. (SN ) SS400 ( ) SN400 SM490A ( ) SN490 JIS G 3136:SN -1994 JIS G 3136:SN 1) SN (SNR ) (JIS G 3138-1996) SN SNR490B 1 1SNR490B 2. SN490 SM490A 2) SNR490B SM490 3) 2SNR490B [N/mm 2 ] 185 185 105 [N/mm
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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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Contents 6-1 6-2 780 630 440 385 355 325 295 205 80 1-1 1-2 1-3 1-4 1-5 1-6 1-7 1-8 1-9 1-10 1-11 1-12 1-13 1-14 1-15 1-16 1-17 1-18 1-19 1-20 1-21 1-22 1-23 1-24 1-25 1-26 1-27 1-28 1-29 1-30 MEMO G
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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)
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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
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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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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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