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1 UDC JGJ Technical Code for Building Pile Foundations

2 Technical Code for Building Pile Foundations JGJ

3 [003]104 JGJ94-94 Mindlin

4

5 (H) A 66 B 68 C 7 D Boussinesqα α E ψ 106 e F Mindlin117 G 156 H

6

7 .1.1 piled foundation.1. composite piled foundation.1.3 foundation pile.1.4 composite foundation pile.1.5 composite foundation with settlement-reducing piles.1.6 ultimate vertical bearing capacity of a single pile.1.7 ultimate shaft resistance.1.8 ultimate tip resistance.1.9 characteristic value of the vertical bearing capacity of a single pile.1.10 optimized design of pile foundation stiffness to reduce differential settlement.1.11 pile cap coefficient.1.1 negative skin friction negative shaft resistance.1.13 down drag.1.14 plugging effect.1.15 post grouting for cast-in-situ pile.1.16 equivalent settlement coefficient for calculating settlement of piled

8 foundations Mindlin w M Boussinesq w Mindlin B F k G k H k H ik i M xk M yk x y N ik i n Qg q f.. Es f t f c f rk f s q c m ps qsik i q pk Qsk Q pk Qu k R Ra Rh a Rh Tgk Tuk γ γ e Ap Aps Ac Bc d d s D l 3

9 Lc sa u z n 4 α E ηc η f ζ r ψ s ψ p λ p λ ψ ψ c ψ e α α Boussinesq 4

10 m 3 10 ()

11 3 5 γ o γ o γ RE : :

12 6 3 1) ) 3) GB ~4m 10% 0~35m 3 1 1/3~1/ 3 3~5 3m 5m ) 3~5 1~ ) 7

13 1 H 3 3 d 1d 50mm 50mm< d <800mm 3 d 800mm 3.3. A d 3.0d 3.5d 3.0d 4.0d 3.5d 4.5d 4.0d D D+.0m( D>m) 1.5 D D+1.5m( D>m).D 4.0d.0D 3.5d.5D 4.5d.D 4.0d 1 d D d 1.5d 1d 3d 6 0.4d 0.5m 30% 8

14 0.d 0.m m GB

15 3 40kPa 15kPa 1/ GB kg/m 3 (%) kg/m 3 a C b C C % 300kg/m w lim(mm) w lim(mm) a b

16 a JTJ 67 GB α α 4.1. JTJ 67GB Dd Dd 3 11

17 Dd.5 ah c h b D mm 350mm GB/T 13476JC 888 JG m H m ) ) 1

18 H 1) ) mm/y 0.05~ ~ ( 4..3-a) ( 4..3-b) d g (d g ) 5d g 10d g 1mm 00mm 0.15% GB

19 4..3 a b c 3 GB c 1mm 10mm 6mm % 000mm 1mm 300mm 5 50mm 70mm mm 100mm 35 GB º mm 1/10~1/15 400mm 5 1mm

20 N k Fk + Gk = ( ) n Fk + Gk M xk y M i yk xi N ik = ± ± (5.1.1-) n y x j j H k Hik = ( ) n Fk Gk Nk Nik i M xk M yk x x i j x y i y y j i j y x H k Hik i n GB C

21 5. N k R N k max 1. R N Ek 1. 5R N Ek max 1. 5R N k N k max N Ek N Ek max R 5.. R a 1 Ra = Q u K k Qu k K K R = R + η f A R A a c ζ ak c a = Ra + ηc f ak Ac = ( A na ) n c ps / ηc 5..5 f 1/ 5m ak Ac Aps A A A 1/.5 16

22 1/ η c ζ a GB ηc = η c s a / d >6 B c / l ~ ~ ~ ~ ~ ~ ~ ~ ~0.44 > ~ ~ ~ ~ ~ ~ ~ ~0.60 s a / d B c / l s a = A / n A n η c η c η c η JGJ m 0.3m Quk = Qsk + Q pk = u qsikli + αpsk Ap ( ) psk1 psk 1 psk = ( psk1 + β psk ) (5.3.3-) c 0.50~

23 p > p sk1 sk p sk = p sk ( ) Qsk Q pk u qsik i li i α psk Ap psk1 8 psk 4 p s 0MP a C p sk p sk1 β q sk (kpa) a 0.05pS+5 B 0.016pS+0.45 b C D 15 e 100 c f 40 0 g 0.05p S d 0.0 p S A q p h 7000 p s (kpa) sk s q sik gh 6m (B)oabc c odef (D) oef p sk p sl α (m) l<15 l 30< l α ~ lmα l l C q η s p s (MPa) 0~30 35 >40 C 5/6 /3 1/ β p p sk / sk1 sik 18

24 β 1 5/6 /3 1/ η s p / sk p sl η s Quk = Qsk + Q pk = u li β i f si + α qc Ap (5.3.4) f si i (kpa) q c 4d ( d (kpa)1d α /3 1/ 0.55 β i i β i = 10.04( f si ) 0.45 β 5.05( f ) i = si 15cm cm 300cm Q uk = Qsk + Qpk = u qsikli + q pk Ap (5.3.5) q i sik q pk q sik (kpa) () I L >1 0.75< I L < I L <I L < I L 0.5 I L < a w < a w e> e0.9 e< <N 15<N N> 15<N N> 15<N N> 5<N 63.5 N 63 5 >

25 N 63 5 > N 63 5 > <N <N N 63 5 > N 63 5 > aw a w = w / wl w w l 3 NN f rk MPa f rk >30MPa q sik q pk Quk = Qsk + Q pk = u ψ siqsikli + ψ pq pk Ap (5.3.6) i d ψ si ψ p u D=800mm q pk kpa 0.5<I L <I L 0.5 I L e0.9 e< h b :h b DD< h b 4D, h b >4D q pk N10 10<N15 15<N30 N>30 3 l / d 8 q pk 4 q pk ψ si ψ p ψ si ψ p ( 0.8/ d ) ( 0.8/ D ) 1/ 5 1/ 4 ( 0.8/ d ) ( 0.8/ D ) 1/ 3 1/ 3 0

26 5.3.5 q pk kpa lm lm lm l9 9< l16 16< l30 l >30 5l<10 10l<15 15l<30 30l 5l<10 10l<15 15l 0.75<I L 1 10~ ~ ~ ~ ~50 50~ ~ ~450 00~ ~ ~ <I L ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ <I L ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~1900 0<I L ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ e ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~1600 e< ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~100 10<N ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~1700 N> ~00 100~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~700 N> ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~500 N> ~ ~ ~ ~ ~5000 N 63.5 > ~ ~ ~00 00~ ~5500 N 63.5 > ~ ~ ~ ~ ~ <N ~ ~ ~000 30<N ~ ~ ~400 N 63.5 > ~ ~ ~600 N 63.5 > ~ ~ ~ h b /dh b /d 3 f rk MPa f rk >30MPa 1

27 5.3.7 Q uk = Q + Q = u q l + λ q A ( ) sk pk sik i p pk h b / d <5 λ = 0.16 d (5.3.7-) p h b / h b / d 5 λ p = 0. 8 ( ) q sik q pk λ λ = 1 p h b d λ d e = d / n n e p p p Q ( ) uk = Qsk + Q pk = u qsikli + q pk A j + λ p Ap 1 ( ) h b / d <5 λ p = 0.16h b / d (5.3.8-) h b / d 5 λ p = 0. 8 ( ) q sik q pk Aj A j = π ( d d1 ) 4 π 1 4 d j = Ap1 π d p = λ p d1 Q Q = Q + Q ( ) uk sk sk = sik i rk Q u q l (5.3.9-) rk = ζ f A ( ) r rk p

28 Q Q sk sik rk q i f rk ζ h r / d r ζ 1. r ζ r h r / d f rk 15MPa f rk >MPa h r h r / d ζ r Q = Q + Q + Q u k sk gsk gpk = u qsjkl j + u β q l + β q si sik gi p pk A p (5.3.10) Qsk Qgsk Qgpk u l j j l gi i 1m 1m 1m 6m qsik q sjk q pk i j βsi β p mm β si β p β si 1.~ ~ ~.0 1.7~.1.0~.5.4~ ~1.8 β p.~.5.4~.8.6~ ~3.5 3.~4.0.0~.4 3

29 β p ψ l ψ l λ N = N N cr N < N 0.8 d L (m) ψ l d L <d L 0 1/3 d L 10 1/3 10<d L 0 /3 d L 10 /3 0.8< N <d L N N cr λ N 4d 5 5 /31 N cr ψ l = 1 λ z σ z + γ m z f az ( Fk + Gk ) 3 ( A0 + B0 ) q σ z = A + t tgθ B + t tgθ ( )( ) σ γ sik l i N m () t f az A0 B 0 qsik i θ θ E s1 / Es t = 0.5B0 t 0.50B0 4

30 s1 t < E E s 0.5B θ 0º 0.5Bot0.50Bo L Z N k R a Qg n n N k + Qg Ra R a i q n si = ξ σ σ i = p + σ γ i ' ' ni ' i i i = 1 ' σ γ γ mδzm + m= 1 1 γ Δz i i σ = σ ' i ' γ i n q si i

31 ξ i ni ' σ γ i i σ i i γ i z i γ m i m Δ Δz m i m p ξ n n Q η = s n ax n g s n l i i ηn sax s ay = η u ay n n i = 1 n qs / πd γ m q n si l i ξ d + 4 n qs γ m η n η n l n l n l n / l0 0.5~ ~ l n l 0 l n 10 3 ln = 0 4 0mm l n 0.4~0.8 N T / + G k k gk uk gp N T / + G p 6

32 N k T gk T uk Ggp G P JGJ 106 T = λ q u l uk i sik i i T uk ui u = πd q sik i i λ i l i 4~10d 4~10d u π D π d i li l i λ λ 0.50~ ~0.80 l d 0 λ 1 T gk = ul λiqsikli n u ul η f q f uz0 T gk / + N G + G gp η f q f uz 0 T uk / + N G + G P η f q f z 0 T gk Tuk N G η f 7

33 (m) z < z z 0 > 3. 0 η f q f ( kpa ) 30~60 60~80 80~10 10~150 ()>15% <10 0~30 40~80 90~00 ~ u qeilei Tgk / + NG + GgP u qeilei Tuk / + N G + GP Tgk Tuk qei i l ei i H g 4 4 < H g < H g 100 > H g l 0 l 0 l 0

34 l 0 H g 0 0 < H g < H g < H g < H g < H g 50 H g < H g < H g 50 H g m n zijα ij z( i 1) jα ' ( i 1) j s = ψ ψ e s = ψ ψ e p j j= 1 i= 1 Esi s (mm) s (mm) ψ ψ e m p 0 j j n Esi i zij z ( i 1 )j j i i α ij α ( i 1)j j i i 9

35 n ziα i zi 1α i 1 s = ψ ψ e s = 4 ψ ψ e p i= 1 Esi p0 z ai a i 1 a / b i zi z = i 1 z = i 1 b Bc b Bc D z n σ z σ c σ 0. σ z z c m a j p0 j j= 1 σ = a j D ψ e nb 1 ψ e C C n 1 + C b 1( b ) n = n B / L c c nb n b >1n b = C0 C 1 C s a / d l / d L c / Bc E Lc B c n s a d = A /( n d ) d = A /( n b) s a A / / b ψ ψ Es ( MPa ) ψ Ai s E s = Ai / A i Esi i E ψ E s 30

36 s e σ n zi s = ψ Δzi + i=1 Esi c ps s e m Q j σ zi = [ α, (1 ), ] j I p ij + α j I s ij j= 1 l j Qjl j = ξ e E A s e n σ zi + σ zci s = ψ Δzi + se E σ zci = i=1 u k = 1 ki si α p ck m n σ zi 1/ σ zci Δz i Esi Q j l j Aps α j I p, ij, I s, ij 1/ Ec p c, k pc. k = η c, k f ak η c, k f ak α ki se ξ e ξ e l/d ξ e l/d ξ e 31

37 ψ σ z σ zc σ c σ z + σ zc = 0. σ c A c F + G k k = ξ f ak Fk + Gk η c f n R A c f ak ξ ξ n ηc a ak A c s =ψ s s + s ) ( sp s s = 4 p m 0 i= 1 z α z i i E ( i 1) si α ( i 1) s p sp qsu d = 80 E ( s / d) s F nr a a o =η p Ac s ss ssp po Esi i m σ z = 0. 1σ c σ z qsu E s d d = 1. 7b s a / d zi, z i 1 i i 1 3

38 α i, α i 1 i i 1 Bc = B Ac / L B L F η p ψ H ik R h H ik i Rh R ha JGJ % 10mm 6mm 75% % 75% % 0.75αγ m f tw ζ N N 0 R = + ± ha (1.5 ρ g ) ν M γ m f t An α Rha ± +- γ m γ m =γ m =1.75 f t 33

39 W W = d + ( 1) 0 vm [ α E ρ g d ] πd b W0 = [ b + ( α E 1) ρ g b0 ] 6 d d0 b b 0 α E ν m ν x ν ν x ( α h) M ν M ν M αh > 4 αh = 4. 0 ρ g A A = 1+ ( α 1) ζ n [ ρ ] A = b 1+ ( α 1) n E n g πd 4 [ ρ ] N N kn % 3 α EI = 0.75 x Rha 0a ν x EI EI = 0.85EcI0 I 0 I 0 = W0d0 / I 0 = W0b0 / x 0 a ν x 5.7. ν M Rh = ηhrha ( ) s a /d6 η = ηη + η (5.7.3-) h i r l E g 34

40 0.015n sa d η = ( ) i.15n n m x 0 a B c h c η l = ( ) n 1 n R ha R ha ν x x 0 a = 3 α EI ( ) η h = ηiη r + ηl + ηb ( ) μ Pc η b = n n R ( ) B P 1 h ' c Bc + 1( m) c c f ak ( A naps = ( ) = η ) ( ) ηh ηi ηr 50~100mm η η = 0 ' c l ηb s a / d n1 n m x 0 a x 0 a =10mm x 0 a =6mm B ; B c h c ( m) μ P c ηc 5..5 A A ps η r α h mb0 α = EI h μ μ l 35

41 C C C α ( 1/ m) mb EI α = m b0 (m) d1m b0 = 0.9( 1.5d + 0.5) d >1m b0 = 0.9( d + 1) b1m b0 = 1.5b b >1m b0 = b + 1 EI 5.7. m m m m 4 4 ( MN / m ) ( MN / m ) (mm) (mm) ( I L >1)(0.75< I L 1)e> (0.5< I L 0.75) e= (0< I L 0.5)( I L 0) 4 e< % m 10mm m l N ψ f A + c c ps ' ' 0.9 f y As 5.8.1

42 1 N ψ f N ψ c f c ' f y c c A ps 5.8. ' As ψ c ψ c ψ c ψ c = 0.7 ~ 0. 8 ψ c = 0. 6 ϕ ϕ ϕ l c l o h l c 4.0 h < α 4.0 h α 4.0 h < α 4.0 h α 4.0 h < α 4.0 h α 4.0 h < α 4.0 h α l c = ( l h) 0 l c = 0.7 l c = l 0 + ( l0 + h) α l c = 0.7 l c = l 0 + ( l0 + h) α l c = 0.5 l c = l 0 + ( l0 + h) α l c l 0 = α 1 α = 5 mb o EI l o l o h d l o l = l + ψ d 0 0 l l h = h ψ ldl ψ l ϕ l h l c / d l c / b ϕ 37

43 l c / d l c / b ϕ e i η η t / d f y / E t / d f y /14. 5E t E f ' y N f y As + f py Apy N f y f py A s A py σ ck σ pc 0 σ ck σ pc f tk σ cq σ pc 0 wmax w lim σ ck σ cq σ pc f tk w max w lim 38

44 A 1 + A c H α eeγ p H E c γ c A 1 + EH γ H Ac E γ p Ec γ c σ p α e AH A c A EH E c E γ H γ c γ H l

45 ( 5.9.a) M x = Ni yi (5.9.-1) M = N x (5.9.-) y i i M x M y X Y xi y i Y X Ni i b M N max 3 = ( sa c) (5.9.-3) 3 4 M Nmax sa c c=0.8d( d ) N max 0.75 M 1 = ( sa c1) (5.9.-4) 3 4 N α 0.75 max M = ( αs ) (5.9.-5) a c 3 4 α M1 M s a 40

46 α α c1 c % G II F l β hp β u f 0 m t h 0 F l = F Qi β = λ + 0. Fl ft βhp h h um h0 β0 λ λ = a 0 / h0 a 0 F Q i

47 F l [ β ox ( b c + a oy ) + β oy ( h c + a ox )] β hp f t 0 h β0x 0 y β λ0 x = a0 x / h0 λ0 y = a0 y / h0 λ 0x λ 0 y hc b c x y a a ox oy x y F l [ β 1 x ( b1 + a 1 y ) + β 1 y ( h1 + a 1 x )] β hp f t 10 h β1x β 1y λ1 x = a1 x / h10 λ1 y = a1 y / h10 λ 1x λ 1y h1 b 1 x y a 1 x a 1y x y bc = 0. 8dc d c b p = 0. 8d d lo/h<5.0lo1.15 lnln N l [ β 1 ( c + a1 / ) + β1 ( c1 + a1 / ) ] β f h0 x β β 1x 1y y y x hp t 0.56 = λ x 0.56 = λ y 4

48 Nl β1 x, β1y a 1 x a 1y h0 λ1x λ 1y λ1 x = a1 x h0 λ1 y = a1 y h N l θ 1 β 11 ( c1 + a 11 ) β hp tg f t h o 0.56 β 11 = λ N l 1 θ ( c a1 ) βhptg ftho β + 43

49 11 β = λ λ λ 1 λ 11 = a11 / h0, λ1 = a1 / h0 a11 a N l ( b + h0 ) β f 0 β0x 0 y N li.8 h p [ β 0x ( by + a0 y ) + β oy ( bx + a0x )] β hp f t 0 h hp t β λ0 x = a0 x / h0 λ0 y = a0 y / h0 λ 0x λ 0 y N l N li III V β hs α f t b 0 h α = λ

50 1/ 4 β = ( 800 hs ) ho V ft b0 h0 α λ λ x = a x / h0 λ y = a y / h0 a x a y y x β hs h0 < 800mm h0 = 800mm h0 > 000mm h0 = 000mm A 1 -A 1,B 1 -B 1 A -A,B -B A 1 -A 1,B 1 -B 1 h 10, b y1 b x1 A -A,B -B h 10 + h 0 A -A b y0 by1 h10 + by h0 = h + h 10 0 B -B b b h + b h x1 10 x 0 x0 = h10 + h0 3 A-A B-B h o h b 0 y A-A by0 = [ (1 )] by1 h b 0 h0 bx B-B bx0 = [ (1 )] bx 1 h b 0 y1 x1 45

51 Asv V 0.7 f t bh f yv h0 s V Asv s f yv b h sb V A f y Asb sinα s s sv 0.7 f tbh0 1.5 f y h0 + A f y α s λ 1.75 Asv V f t bh0 + f y h0 1 s λ + λ = a / h0 a IV V

52 47

53 48 ~

54 49

55 () 6.3.5, 6m

56 m s m

57 5

58 D D 1 H1 + h C1 = d 0 h H + H h C C 1 1 = d 0 h D 1 D d 0 H1 H h1 h H1 / H / C 1 C 53

59 54

60 1MPa 0. 45~ ~0.9( 0.5~0.6) 3~10Mpa 1.~4MPa 3 75L/min Gc = α pd + α snd α p α s α p =1.5~1.8, α s =0.5~0.7 n d m Gc t 6d 1. d 8~10m 55

61 h 75% 30~60min 0d 15d 56

62 57

63 70% 100% 58

64 1 59

65 1.0m.0m 6.0m 60

66

67 10% ± 0.5% ± 0.1% 1 6

68 63

69 64

70 65

71 66

72 A A.0.1 A.0.1 A.0.1 mm mm m / / 0 300~ ~ ~500 / 0 800~ ~ ~800 / ~100 / ~100 / ~100 / ~ ~ ~1600 / ~800 / 0

73 A.0.1 mm mm m ~100 / ~800 / 5 700~ ~ / / 60 H / / 80 35, ~ / 60 / 60

74 B B.0.1 B.0.1 B.0.1 PHC D t mm m C C C C C C C C C C80 MPa Mcr (knm) (knm) A AB b 4 B C A AB b 4 B C A AB b 5 B C A AB b 5 B C A AB b 5 B C A AB b 5 B C A AB b 5 B C A AB b 5 B C A AB b 6 B C A AB B C b AB B C /m

75 B.0.1 PC D t mm m C C C C C60 MPa Mcr (knm) (knm) A AB b 4 B C A AB b 4 B C A AB b 5 B C A AB b 5 B C A AB b 5 B C /m

76 B.0. B.0. B.0. L t (mm) (mm) (m) C C C C C80 M u M cr (knm) (MPa) (knm) A 8Φ AB 8Φ b 4 B 1Φ C 1Φ A 1Φ AB 1Φ b 4 B 16Φ C 16Φ A 1Φ AB 1Φ b 5 B 16Φ C 16Φ A 1Φ AB 1Φ b 5 B 16Φ C 16Φ A 16Φ AB 16Φ b 5 B 0Φ C 0Φ (kg/m) R p (kn)

77 C m δ , m h m = ( d +1) m C.0. h m C.0. m m h m m h + m ( h + h ) h = h m h m + m ( h + h ) h + m ( h + h + h ) = h m C n Cn = m h n m MNm 4 h n m C 0 C b m 0 C 0 C = 0 m0h m MN/m 4 m = m 0 0 h m h 10m 10m C b Cb = m0h n η C-5 c hn m h n 1m 1m ηc CR C.0. C.0. C R f rc kpa CR MN/m h 7

78 f rc C R 4 EI ξ N ξ N = μ C C C C C C n = C b = 0 C C C Cb = 0 3 ( d +1) m m C.0.-1C

79 C m EI α C.0. 3 ( F L) ( F ) M H M = + n n 0 l 0 H H 0 = n 0 0 n l = 74

80 C H = 1 0 M = 1 0 F 1 L ( ) 1 F ( ) 1 ( ) δ δ HH MH 1 = α 3 EI 1 = α EI F HM MH 1 F L 1 ( ) δ MM 1 = α EI ( B3D4 B4D3 ) + Kh ( BD4 B4D ) ( A B A B ) + K ( A B A B ) ( A3 D4 A4 D3 ) + Kh ( A D4 A4 D ) ( A B A B ) + K ( A B A B ) δ = δ ( A C A C ) + K ( A C A C ) h 4 4 ( A B A B ) + K ( A B A B ) h h h h.5 / α K = 0 h h 3.5 / α K h = 0 K h A 1 D 4 A f B f C h = αh C f 5 L x H M 0 = 0δ HH + 0 δ HM ( H δ M δ ) ϕ0 = 0 MH + 0 MM 6 ( F L) ( F ) H y M y ϕ0 M 0 H0 = α EI x0 A3 + B3 + C3 + D3 3 α α EI α EI 3 ϕ 0 M 0 H 0 α EI x0 A4 + B4 + C 4 + D 3 α α EI α EI = 4 75

81 C ( L ) Δ = x ϕ l Δ 0 Δ 3 Hl0 = 3nEI 0 + Ml0 nei 8 HH MH HM MM HH MM δ δ HH HM K h MH ( L ) C 0 α EI C.0. I 0 I 0 I FL αm = 0 C1 H 0 C αy F L M max = H 0 / DII ( ) 1 B D 1 B 1 D = ; 3 α EI A B 1 A1 B = δ K h = δ δ C MH MM 0 I 0 α EI 1 A D 1 A1 D = α EI A B 1 A1 B 1 A C 1 A1C = α EI A B A B 1 1 ; αy y M max = α Υ h Υ h C D C Υ ( a) ( b) Υ 76

82 C mm0 EIαξ NC0Cbμ C.0. 3 H = 1 M = 1 ( F 1 L) δ HH ( F 1) δ MH ( 1) ( 1 L 1 ) F δ HM = δ MH F δ MM C K = 0 h C

83 C F L 1 ( ) F L 1 ( ) ( F ) ( F ) ( F L) F L 1 ( ) F L 1 ( ) F L 1 ( ) ( F ) ( F ) ( F L) ρ ρ ρ NN = = ζ N h EA δ C A MM HH δ HH δ MM δ MH = δ MH MH δ HH δ MM δ MH ρ HM = ρ MH ρ = δ HH MM δ HH δ MM δ MH γ VV UV = n ρ +C NN γ = μc γ UU γ β U = ρ b A b b A n HH + B0 = ρ γ = γ Uβ βu 0 b F n MH + B0 c γ ββ = n ρmm + ρnnσk ixi + B0 I + S C C 0 C I b c ξ NC 0 A 0 C.0. EA B 0 = B +1 B c c AbI bf S I c n xi K i i 78

84 C.0.3- ( L ) V = ( N + G ) γ VV 6 ( L ) γ ββ H γ M U = γ γ Uβ UU ββ γ Uβ γ UU M γ β = γ γ UU ββ U β γ Uβ γ H + γ ( N + G ) VV γ ( γ γ γ ) UU ( N + G ) VV γ ββ UV γ ββ Uβ ( γ γ γ ) UU ββ γ UV Uβ Uβ 7 ( F ) ( F ) ( F L) N H M = ( V + β ) ρ NN 0 i x i 0i 0i = Uρ MM HH βρ = βρ Uρ MH HM xi 8 ( F L) β M 0 α EI UA3 + B3 + C α α EI H 0 + D 3 α EI M y = 3 3 A3 B 3 C 3 D 3 C.0.3-4, 9 ( L ) ( F L) y M max M max C ( F ) ( F L) c H E = UB0 F + βb0 c M E = UB0 S + βb0 S I c c

85 C ( F ) ( F ) ( L) N = VC H b b b = μn F b b b b M = βc 1 H + H + H H ρ NN ρ HH ρ MH ρ MH ρ MM A I b i E b = 0 A A 0 ϕ d A 0 = π htg m + 4 A π 0 = 4 S h 80

86 ϕm d ; s F c S c I c C F S I c c c C n h = C n h = 6 C n h = 1 n n 3 n Ab I b A I b b = F = I F na Σ AK i x i F na 81

87 C H M o 1 h m m 0 EI α ξ C 0 N C ' lδ HH δ MH δ HM δ MM C δ HH = + δ MM l0 + δ MH l0 + δ HH 3EI ' l0 ( F 1 H =1 L) δ MH = + δ MM l0 + δ MH i EI ( F 1 ) ' ' δ HM = δ MH 4 l ' M i =1 ( F 1 ) 1 1 ( F L ) δ MM = 0 + EI δ MM 8

88 C C F L 1 ( ) F L 1 ( ) ( F ) ( F ) F L ( ) F L 1 ( ) ( F L 1 ) F ( ) ( F ) F L ( ) ρ ρ ρ ρ NN HH MH MM = l = δ = δ + ζ 1 h + C 0 N 1 EA ' HM ' HH δ δ ' δ ' δ ρ HM = ρ MH = δ ' HH δ δ γ VV = nρ NN γ UU = nρ HH γ β U = nρ MH γ ββ γ = γ Uβ βu ' MM ' MM ' MM MH MM ' HH = nρ + ρ ΣK MM NN δ 0 δ δ i xi ' MH A ' MH 0 ' MH n xi K i i 83

89 C ( L ) ( L ) ( F ) ( F ) ( F L) ( F ) ( F L) ( L ) 0i 0i 0i F M yi = α EI x0i A3 + B3 + C3 + D3 ( L) ( F ) ( L ) ( F L) H yi N H V = N ϕ α + γ VV M α EI H 3 α EI 3 ϕ0i M 0i H 0i = α EI x0i A4 + B4 + C4 + D 3 4 α α EI α EI y M max G γ H γ M ββ Uβ U = γ UU γ ββ γ Uβ γ β = γ = UU UU M γ ββ γ U β γ U H ( V + β ) ρ NN i x i = Uρ Uρ i MM HM = M M x i = βρ Uρ MM H 0 i = H i β MH 0i = M i + H il 0 0 i = H 0iδ HH + M 0i δ H n HM ( H δ M δ ) ϕ0 i = 0i MH + 0i M max MM xi O, A3 D 4 C.0.3-4, C

90 C h = αy A 3 B 3 C 3 D 3 A 4 B 4 C 4 D 4 B 3D 4 B 4 D 3 A 3B 4 A 4 B 3 B D 4 B 4 D

91 C h = αy A 3 B 3 C 3 D 3 A 4 B 4 C 4 D 4 B 3D 4 B 4 D 3 A 3B 4 A 4 B 3 B D 4 B 4 D y α 86

92 C h = αy A B 4 4 A 4 B A 3D A 4 D 3 A D 4 4 A 4 D A 3C A 4 C 3 A C 4 A C 4 A = B = C = f B3 D4 B4 D3 A B A B f AD 3 4 A4 D3 AB A B f A3C 4 A4C3 A3 B4 A4 B3 B D1 B1 D A B AB 1 1 A D1 AD 1 A B AB 1 1 AC C A A B AB

93 C h = αy A B 4 4 A 4 B A 3D A 4 D 3 A D 4 4 A 4 D A 3C A 4 C 3 A C 4 A C 4 A = B = C = f B3 D4 B4 D3 A B A B f AD 3 4 A4 D3 AB A B f A3C 4 A4C3 A3 B4 A4 B3 B D1 B1 D A B AB 1 1 A D1 AD 1 A B AB 1 1 AC C A A B AB

94 89 C C D C D y h α = 0 h = 4. α 5 h=3. α 0 h=3. α 8 h=. α 6 h=. α 4 h=. α 0 h = 4. α 5 h=3. α 0 h=3. α 8 h=. α 6 h=. α 4 h=. α

95 C h = ay h = C α α h=3. 5 α h=3. 0 α h=. 8 α h=. 6 α h=. 4 αh = 4. 0 α h=3. 5 α h=3. 0 α h=. 8 α h=. 6 α h= D α y h αh > 4. 0,αh =

96 D Boussinesq α α D.0.1 α α D.0.1-1D.0.1- D α a / b z / b

97 9 D b a / b z /

98 93 D b a / b z / a m bm zm

99 94 D.0.1- α b a / b z /

100 95 D.0.1- b a / b z /

101 96 D.0.1- b a / b z /

102 97 D.0.1- b a / b z /

103 D.0. α α D.0. D.0. α α a/b z/b α α α α α α α α α α α α σ α σ α a/b z/b

104 99 D α α α α α α α α α α α α a/b z/b a/b z/b

105 100 D α α α α α α α α α α α α a/b z/b a/b z/b

106 101 D α α α α α α α α α α α α a/b z/b a/b z/b

107 10 D α α α α α α α α α α α α a/b z/b a/b z/b

108 D.0.3 α α D.0.3 D ( d ) α α z / r α α z / r α α

109 104 D.0.3 r z / α α r z / α α

110 D.0.4 α α D.0.4 D.0.4 α α z/r r α α α α α α α α z/r α α α α α α α α z/r z/r σ α σ α

111 E ψ E.0.1 E.0.1-1~E E ( s a / d = ) l / d L c / B c e C C C C C C C C C

112 E l / d L c / B c C C C C C C C C C C C C C C C

113 E l / d L c / B c C C C C C C C C C C C C C C C L B l d c c 108

114 E.0.1- ( / d = 3) s a l / d L c / B c C C C C C C C C C C C C C C C C C C C C C

115 E.0.1- l / d L c / B c C C C C C C C C C C C C C C C C C C L B l d c c 110

116 E ( / d = 4) l / d L c / B c s a C C C C C C C C C C C C C C C C C C C C C

117 E l / d 50 L c / B c C 0 C 1 C C C C C C C C C C C C C C C C L B l d c c 11

118 E ( / d = 5) l / d L c / B c s a C C C C C C C C C C C C C C C C C C C C C

119 E l / d 50 L c / B c C 0 C 1 C C C C C C C C C C C C C C C C L B l d c c 114

120 E ( / d = 6) l / d L c / B c s a C C C C C C C C C C C C C C C C C C C C C

121 E l / d 50 L c / B c C 0 C 1 C C C C C C C C C C C C C C C C L B l d c c 116

122 F F σ z = σ zp + σ zsr + σ zst αq σ zp = I p l βq σ zsr = I sr l ( 1 α β ) Q σ zst = I st l σ zp σ z sr σ z st α β p l I I I sr st F.0. F.0. α β ( 1 α β ) I p l π r 1 (1 μ)( z l) (1 μ)( z l) (1 μ)( z l) {(1 μ) + 4(1 μ) r + ( z l) z + l r + ( z + l) 117

123 118 3 / 3 / 3 ) ( ) (5 ] ) ( [ ) ( ) 4 (3 ) 4 (3 ] ) ( [ ) ( l z l z l l z r l z z l z z l z r l z μ μ } ] ) ( [ ) ( 6 ) ( 6 ] ) ( [ ) )(5 ( 5 / 3 3 / l z r l z zl l z lz l z r l z l z l sr I ) (1 ) ( ) ( ) (1 ) ( ) ( ) ( { ) 4(1 1 z r r z l z r r l z z r l z r r r l μ μ μ μ μ π 3 / 3 3 / / ] ) ( [ ] ) ( [ 4 ) ( ) 4(1 ) ( ] ) (1 [ 4 l z r r l z r r r r z l z z z r r z r z μ μ } ] ) ( [ ] ) ( [ 6 ) ( ] [ 6 5 / / 4 4 l z r r l z zr z z r r r z z st I ) ( ) )(4 ( ) ( ) (1 ) ( ) ( { ) 4(1 1 l z r lr r l z l z z l z r r r l μ μ μ μ π 5 / ) ( ) ( 6 1 ) (1 ) 8( z r lr z r zr z z r lr z zr μ μ 3 / ] ) ( [ ) ( 4 4 ) ( ) (5 15 l z r lr l z r r z zr l z z zr μ μ 3 / / 5 4 ] [ ) (7 ) (5 6 ] ) ( [ ) ( 1 ) ( 6 z r lr zr Z r z l z r lr l z z z r zr μ μ } ] [ ) ) ( )( ) ( ( ln ) ( ] ) ( [ ) ( 3 / 3 3 z z r l z l z r l z l z r l r l z r l r l z zr μ μ r l z 1 0 / = = l n ρ F.0.-1 ; / ; / l n l z m ρ = = ρ

124 β = 1 α σ z st = 0 β = 0 σ z sr = 0 ( l 1 ) ( l ) m 1 = z / l1 = l / l1 ( l ) ( l 1 ) m = z / l = l1 / l 119

125 I p l / d 10 m n

126 l / d 15 m n

127 l / d 0 m n

128 l / d 5 m n

129 l / d 30 m n

130 l / d 40 m n

131 l / d 50 m n

132 l / d 60 m n

133 l / d 70 m n

134 l / d 80 m n

135 l / d 90 m n

136 l / d 100 m n

137 I sr l / d 10 m n

138 l / d 15 m n

139 l / d 0 m n

140 l / d 5 m n

141 l / d 30 m n

142 l / d 40 m n

143 l / d 50 m n

144 l / d 60 m n

145 l / d 70 m n

146 l / d 80 m n

147 l / d 90 m n

148 l / d 100 m n

149 I st l / d 10 m n

150 l / d 15 m n

151 l / d 0 m n

152 l / d 5 m n

153 l / d 30 m n

154 l / d 40 m n

155 l / d 50 m n

156 l / d 60 m n

157 l / d 70 m n

158 l / d 80 m n

159 l / d 90 m n

160 l / d 100 m n

161 G G.0.1 G.0.1 G

162 G.0.1 ( a) ( b) () c ( d ) ( a) () c ( b ) ( d ) ( a) ( b) () c ( d ) 6 G G.0.1-1G p kn/m 0 qlc p0 = G a0 a 0 E.4 3 n I a 0 = E k b k L Lc1.05L c L q I E n a = 3.14 E n I E k b k 0 3 E n I E b k k a o a = p o 1 Lc M 0 M = q G G G G.0.1- G G G G G L c 1 M = 3 a o p o 1 L c p 0 Lc a0 M = L c 6a0 3Lc ao 4 1 a0 Lc ql c M = 4 p o Q = ql Q = a 0 157

163 158

164

165 JGJ

166 JGJ

167 (H )

168 163

169 JGJ9494 JGJ

170 JGJ9494 K K GB JGJ9494 GB 50010GB GB JGJ m

171 6 GB

172 Δ s = 0. max 004L o [ Δsmax ] = Lo L o l [ Δsmax ] = 0. 00Lo Δs max 167

173 (1) ()

174 3.16 l l s max s max Δs max L 0 L 0 Δs max L P=350kN F=350kN Q i / Q av b Qav Q / Q c / Qav C 76% 140% 115% D 105% 93% 9% 169

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UDC Technical code for groung treatment of buildings JGJ 79-2002 J 220-2002 Technical code for groung treatment of buildings JGJ 79-2002 2 0 0 3 1 1 64 JGJ79 2002 2003 1 1 3.0.5 3.0.6 4.4.2 5.4.2 6.1.2 6.3.5

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