Anh hirdng cua phu tai tren mat dat den ap life ngang tac dung len cong trinh tiTdng chan
Effect of surcharge on lateral earth pressure on retaining wall
Ngay nhan bai: 13/3/2017 Ngay su^ bai: 8/4/2017 Ngay chap nhan dang: 5/5/2017
T O M T A T :
Bai bio nay trinh biy mot s6 ket qua ve sU anh hddng ciia tai trong dang hinh bang phan bo deu tren mat dat den sd phSn bo cddng do ap ldc ngang cila d3t tac d i ^ g len c6ng trinh tddng chin dat d\la tren cae eong thdc giai tich. Tren cd sd thay doi khoAng each dat tai trgng tac dung hoac bi rdng ciia dien chiu tai trpng hinh bang trong cAc cdng thiic ta se xac dinh diJpc gia tri ap lyc ngang tac dung len tiidng chan tgi dp sau z va tii do ve diipc bilu d6 phan h6 cifdng do ap ldc ngang ISn lifng tiidng do phu tii trong tifng tnidng h ^ . Bai bao nay c6 y nghia trong cong tac thiet ke eong trinh tddng chan dat.
Tif khda: Tifdng chSn cdng, ap Itfc dat ngang, dng suat phu them do tai trpng ngoai.
ABSTRACT:
This paper presents some results ofthe effect of ground surface uniform strip load on the distribution of lateral earth pressure on retaining wall by using analytical formulas. The lateral pressure at any depth z is determined by changing the value of distance between the wall and the strip load or changing the width ofthe strip load in these formulas and from that a chart of lateral earth pressure distribution on a retaining wall is drawn.
This paper supplies significant data in the retaining wall design.
Keywords: Rigid retaining walls, lateral earth pressure, m stress due to a surface load.
TS. Tnfflfng Quang Thanh Khoa XD - Dai hpc Kien true TP HCM KS. Nguyen Manh Tri
Hpc vien Cao hoc XD22-Dai hpc Kien triie TP.HCM
Tru'dng Quang Thanh, Nguyen Manh Tri
1 . OAT VAN B^
Ap lUe ngang ih tSi trong chinli va quan trong tac dung Ien ket du chSn giiJ 3it iid 3io sSu cung nhu k^t cau chSn gi& khdi dSt dSp, Cudng do va qui luat phian i^d ap lUe ngang nay coanh hadng Idn den sir on dinh vh do bien dang cua cong trinh tddng chan d i t . Van de ap ldc ngang tac dong len k^t cau ehSn gid dat la vin de tdong ddi phde tap, da dMc nhieu tac gia trong va ngoai nddc quan tam nghi§n cdu vi cOng c6 nhdng ket qua nhit dmh [1], [2], [3]... Tuy nhien day 1^ van de rong, cat k^t qua nghien cdu da co chda that chi ti^t va bao quat h^t ddoc moi van de lien quan, cho nen van eon nhieu l(hia canh ve bai toan tddng chan dat se ddpc tiep tue bd sung nghien ciJtu.
Nhu chung ta da biet, nhiem vu eda tddng chan Ici ch§n gid kh6i flat sau Idng tddng. Trong Iddng ban than l(hdi d i t tl^p xde vdi Idng tddng se gay ra ap ldc dat len Idng tUdng, Ngoai ra, hoat tai tren be mSt cua khoi dat dap ddpc clidn gid bdi tddng eh3n cung nhd phu tSi be mgt ben canh eong trinh tddng chan dcit ddi vdi hd dao sau se lam gia tang them ap lire ngang tae dpng len cong trinh tddng chan. Thdc tiin xiy ddng, trong trddng hpp khi t h i e 6 n g h d d i i o sau cd ket cau chan gid dat hoac trong trddng hop cong trinh tddng chan khdi 3it 3ipvi tren be mat dat co eie phu tai tae ddng n h d tai trong cdng trinh lan can, chSt hang hoa, trong IdOng mSy mdc, t h i l t bi thi cdng, ngddi di l a i . , , khi deinh gia 6n dmh va bien dang cua kit cau c h i n dat dn phSi xem xet den Sp ldc ngang phu them do cae tai trong nay gay ra Oanh gia mdc dp Snh hddng cua phu tSi tren bS mat 3it ddi vdi sd lam vi§e cua cdng trinh tddng chSn la van de can phSi ddpc phan tich,
2. TdNC QUAN P H A N Bd AP LI/C NGANG DO PHU TAI T A C DLING LEN T ^ O N G CHAN TRONG OIEU KI^N BAI TOAN PHANG
Tinh toan ap ldc ngang cua dat dda tren co sd eua bai toan xac ffl.nh dng suat theo phdong ngang trong mdi trddng d i t . Gia tn dng suat do phu tSi tai mdt diem trong d i t ddoc x l y ddng thong qua hai bai toan. BJi toan phSng va b^i toan khdng gian. Cfng s u i t trong khdi dat ddi voi cdng trinh tddng c h i n dng vdi dien phu t l i hinh bang thudc dang bai toan phang, Hai dang t^i trong phd bien ciia bai to^n p h l n g nhd sau:
2.1 Tdi trong dUdng t r i n mat dat
Ldi g i l l cua bai toan t l i trong duong la co sd de x l y diftig Idi g i l i ciia bai toan t l i trong dang hinh bang, Tren hinh 1 a the hien do tang dng suSt do t i l trong dddng Q (Ldc/don vi chi^u d l i ) ,
^ . . ^ ^ m
Hlnhl;a)Thanhphanutig5uatdot3itrongauftigb)T3i"o"9fl^*9^^""''''"'^9^^^"'
I40snni!iiai (
2.2 Tdi t r p n g du'dng t r e n m a t d ^ t ben canh cdng t r i n h t d d n g c h i n Lfng suat theo phdong ngang tang th§m tai dd sau z do tai trong dddng co cddng d o Q (Idc/don vi chieu dai) dat tren mat dat ben canh cdng trinh tddng c h i n the hien tren hinh 1 b tinh theo cong thdc (2)
icHJa=+bM^
(2) Cddng do life ngang tac dung len tddng i P i tinh theo cdng thdc (3)
ji{a^ + l)
2.3 Tai t r o n g hinh bang t r € n mat dat
Tai trpng hinh bang la tai trong p h i n bd tren mdt di&n chiu t l i cd be rdng B nhd hon nhieu so vdi b^ d l i ciia dien chiu tai Di^n t l i hinh bang trong thdc t ^ la d i f n t l i cua mdng b i n g , cda ddcmg, de, dap.. .Ong suat tai mpt diem trong khoi dat dddi cae dien tai nay thupc dang bai toan phang.
Hinh 2: Car thanh phan ihg suat tai m5t diem trong dStdirdirlitn dim til hinti bang (a) tii hinh hang phan bd deu (b) tli iilnh bSng phan bo tam giac Tren hinh 2a t h i hien eae thanh phan dng suat tang t h i m do tai trong hinh bang phan bd deu cddng do q, (Ide/don vi dien tich ) gay ra tai mot d l l m trong dat va g i l tri cac thanh p h i n dng suat ddpc tInh theo cac eong thdc (4), (5). (6):
=T[«
•5inacos(a+2]3)A o . = - 3 i - [ a - s i n a e o s { a + 2 p ) ]
a T „ - 5 ^ [ s i n a s i n ( c ( + 2 | 3 ) ]
(4)
(6)
: : s i " 2 p (7)
Phan bd cddng dd Sp ldc theo phddng ngang tang th^m do tai trpng hinh bang phan bd d i u q^ ben eanh cdng trinh tddng c h i n the hien tren hinh 3a va ddoe tinh theo cdng thde (10)
Aa. = — ( p - s i n p c o 5 2 a ) (10)
Hinh 3. Phu tai hinh bang phan bo d^u tr§n mlt dat ben canh tifiing chSn dat (a) phan bdcUcmgdoap [lie ngang Ao, (b) cudng do lircngangAP.vldiemdSt Cddng dd lUe ngang tang them do t l i qs va diem dat ddoc Jarquio (1981)[3]dexuit'
" 901- ov ! i ; j Trongdd: 6, = tan"' — ; e j = tan"1 ^ ^
Diem dat eCia ldc ngang AP. len Idng tddng chan tai dd sau z tinh t d dinh tddng theo cdng thde (12) ddoc the hien tr§n hinh 3b.
^ = H ^ ° ' ' ^ ^ ~ Q ' ' ~ " ^ i ~ " ' > + ^ ^ ' ^ ^ " ° (12)
" 2 H „ ( 6 j - e , ) Trongcdng thdc (12) thi R i v I R : ddpc x l e dinh:
R , = ( a + B ) ' ( 9 0 - e j ) ; R , = a ' ( 9 0 - 9 , )
Nhd vay doi vdi t l i trong dddng va tai trong bang phan bd deu tren mat dat se gay ra dng suit theo phdong ngang Ao. vi ldc ngang AP. tren Idng tdong ta cd the xac dinh ddOc theo cdng thdc g i l i tich rdi t d dd ed the ve ddoc bieu do phan bd cddng dd ap ldc dat theo do sau z.s
Tren hinh 2b the hien elc thanh phan dng suat tang them do tai trpng hinh bang phan bd tam g i l c cddng dp Idn nhat q, (Idc/don vi dien tich) gay ra tai mdt diem trong dat va gia tri ddpc tinh theo cdng thdc (7), (8), (9):
Hinh 4: Dang bieu do phan bo cUdng d6 ap lUc ngang cua dat do tai Irong dUdng va tai bang phan bddeu gay ra theo chieu sau tren lifng ti/ong chan.
3. KHAO S A T A N H H l / d N G C O A V! TRf VA BE R O N G D I E N PHU TAI HiNH BANG P H A N B d o £ U T R I N MAT D A T D £ N G I A TRI AP LI/C NGANG L £ N Ll/NG CdNG TRiNH Tl/ONG C H A N
3.1. Dat b l i t o l n p h i n tich
Xet mot tddng c h i n gid mdt khdi dat nhd hinh 5 Vdi cac ky h i l u Ho - Chieu cao tddng; B - Be rdng ciia di§n phu t l i hinh bang cddng do qs, a - Khoing cieh tren mat dat t d dinh tddng den mep dien phu tai hinh bang.
1 1
r-
Hinh 5: Sodd bai toan phSn tich CSc yeu eau phSn tich:
-Bai t o l n 1 : Xle dmh qui luSt phan bd I p ldc ngang (Aa,), vi tri vh eddng dd ldc ngang tac dung len Idng tddng c h i n (AP.).
Khio sit sd phan bd cddng dp ap ldc ngang (Ao.) v l g i l tn, diem dat cua ldc ngang (AP.) t i e dung len Idng tddng chin.
- Bai toan 2: Thay ddi khoang each dat phu t l i so vdi mep dinh tddng (trddng hpp B = 0.3H=, a thay doi)
- Bai toan 3: Cho phu tai dat gan s i t mep tddng, thay ddi be rdng d i f n phy tai hinh bang {trddng hop a = 0.B thaydoi)
- Bai toan 4: Cho b l rdng di§n phu t l i r i t Idn, thay ddi khoing each dat phu t l i so vdi mep dinh tddng (trddng hop B = 10Ho, a thay ddi)
3.2. Ket q u i b l i todn khio sit 1
Gia sd chieu cao tddng chan Ho, be rdng dien phu t l i hinh bang B = 0.3Ho va khoing elch t d mep dinh tddng den m l p dien phy t l i hinh bang a = 0.3Ho. Sd dung cong thdc (10), (11), (12) chuyen ddi gdc p thanh [di- 6i), chuyen ddi gdc 2a thanh (Gj+9t} de tinh t o l n . Ket q u i duoc the hien tren bang 1 va do thi quan he Ao. theo dd sau tddng ddOc the hien tr§n
Do sau z
0 0.1 H.
0,2 H=
0 3 H .
0,4 H.
0,5 H,
0,6 a
0 7 H ,
0,8 Ho
0 9 H ,
1,0 H.
• 0.3 H,
0.3 H.
0.3 H„
0,3 H,
0 3 H ,
0,3 H,
0 3 H,
0,3 i i .
0 3 H.
0 3 H.
0 3 H , B
0 3 H ,
0 3 H ,
0 3 H .
0 3 H.
0.3 H.
0 3Ho
0.3 H.
0.3 H.
0 3 H.
0 3 H.
0 3 H,
a, m 90°
72°
56°
45°
37°
31°
77°
23°
21°
18°
17°
(ea) 90°
81°
72°
63°
56°
50°
45°
41°
37°
34°
31°
l o . (Lu'c/fWnvi
di^n tich) 0 0.19g,
0 27tii
0,27q,
0 2 3 q ,
o i a q ,
0.14<i,
O l l q i
o,oeq,
0 0 7 q ,
O.0Sq, AP.
uidai)
0.158H.q, fiiem d I t f l P ,
0.411H=
Hinh 6* Bteu do quan he glda Ao, Iheo dd sau z tren lu)ig tddng
Nhan x l t , Phin bd eddng do ap Ipc ngang (Ao.) do phu t l i c6 dang hinh bang phan bd deu, cddng do q, v l be rdng B = 0.3 Ho d^t tren mat dat each tddng a = 0.3 Ho se tac dung len Idng tddng theo quy lult nhi/
sau.
• Ao, cd g i l tn bang 0 tai dinh tddng sau do tang d i n theo do sau?
tren Idng tddng.
• Ao, dat g i i tri Idn nhat d khoing dd sau z = 0.25Ho v l Ao,™ = 0.27qi.
• Ao.cd g i l tn g i l m d i n t d dd sau z = 0.25HoCho d i n d l y tddng chin z = Ho va g i l tri Ao, tai 3iy tddng la Ao, = O.OSq,
• Cddng dp I p ldc ngang AP, cd gia tn la 0,158 Hoqs (Idc/don vi ehlSu dai) va diem dat ciia Ide AP. tai trong t i m eda dtin tieh b i l u do phin bo eudng dd, vdi dp sau elch dinh tddng khoing z = 0.411 Ho
3.3. Kit q u i bai t o l n k h i o sat 2
Gid nguyen be rdng dien phu t l i hinh bang B - 0.3Ho, thay dffl khoang each a. Tfnh toan phan bd eddng dd ldc ngang Ao. theo dp sSuij.
tim gia tn Ao.""" va AP. tdOng dng vdi tdng Ithoang each a. Ket q u i tinii toan diTOc trinh bay trong bang 2 va ddoc the hien tren hinh 7. j- Bang 2: Gia tri A o , " " , do s l u Ao.'"^'; g i l tri va d i l m dat AP.khi thay, ddi khoing elch dat phu t l i
Klio^ng cjcha
D 01H.
02H.
03H.
04H, 05H.
0.6H.
0,7H,
0 8 H .
0,9H.
lOHo
2.0 Ho
3 OH.
4 0H„
5-0 H.
Be r6ng dien t i l trong B
0.3H.
0 3 H ,
0,3H,
0.3H,
0 3 H ,
0,3H,
0 3 H .
0,3H.
0 3 H .
0 3 H .
0 3H.
0 3 H .
0 3H,
0 3H.
0 3 H . (Luc/fionvi
di^ntich)
061qt
O.S25q,
0,3S7q,
0.278q.
0,227qi
0.193q,
0.167qi
0.14eq>
0,131q,
0.118q,
0,108q,
0055q,
0032q,
0,02q,
0,013q, edsau
dat fio,™
0.11H, 0.12H,
0.20H,
0.25H.
0.30H.
D36H.
0 4 3 H .
050H=
0,5SH.
06QH.
O6SH0
1.00H,
lOOH.
1.00H.
LOOH, Ao. tai day (LWc/Bonvi dien tich)
0.01q^
0 0 2 q ,
0 0 4 q i
0,05q>
0,07q,
0 0 8 q ,
0,09qi
0,09q,
0.09q,
0,09q,
0,09q,
O.06q,
0,03q>
0,02q,
0,01q.
AP, (Luc/Bon VI
dai)
0,186H>q
0,179H^
0170H.q
0.158H^
0,147H^
0134H,q
0.122Hoq
0110H.q
0.imHoq
0-091 Hoq
0.083H,q
0.O34Hoq
0,018H,q
OOIOH^
0,070H,/) {)l$ir dalAf,
a.1g3H,
0-279H,
0,3S3H,
D411H,
0.456H,
0492H.
D52K,
0,543H,
aJ61H.
0,S76H,
0,58aH,
064H,
0,653H.
065811.
0,661 H.
142 annKirax 05.2017
S"
•H-
•II
<Ho 0 oiaq.
'• ./^\\*^i
p'/W mJM
<M,IL,«b...
Oraqi 0 » i l l
.,-V^^^^
^ S * ^ — — r f i
* - . - . . O J H o 1-0 6 (To o ^ 9 H .
•='»"=
0 40q.
- - . - .=0 1 -^.JH
1-0;
- . - . = 10
..-wo
OXIgi 060« no.
^211^=*
> — . . O I l I o -b, . . - . ^ t K o 4„ - . - r m i H o 4o -.>-,i-^OKo
*• - * - > ° " ' >
H'mh 7 Bieu do phan bd dng suat Ao.do pha tii tren mat dat gay ra tren lung tirdng khi thay doi khoing each dat phu tai
Nhan xet: Vdi trddng hpp gid nguyen cddng dp va be rpng di&n phu t l i hinh bang (B = 0.3Ho) chi thay ddi vi tri dat phu t l i dang hinh b i n g trgn mat dat so vdi dinh tddng (k^ hieu I I a) ta n h i n t h i y :
• Khi k h o i n g each dat phu t l i cang xa tddng c h i n thi phan bd eddng dp ap ldc ngang tac dung len Idng tddng (Ao.) cang nhd.
• Vl tri x u l t hien g i l tn Idn n h l t cua phan bd cddng do I p ldc ngang t i c dyng iin Idng tddng c i n g t i l n dan ve phia day tddng khi khoing elch dat phu tai (a) tang d i n .
• Phan bd cddng dp ap Ide ngang (Ao,) len Idng tddng tai dd sau Ho (vi tri day tddng) ed g i l t n nhd Hon 0 1 q,
• Cddng dd lye ngang t i c dung len lung tddng (AP.) c i n g nhd khi khoing each a cang Idn v l t d o n g dng d l l m dat cua ldc flP« cang sau.
3.4. Ket q u i bai todn khdo s i t 3
Cho dien phu t l i hinh bang dat sat dinh tddng, thay ddi b l rdng dien phu t l i B. K i t qua tinh t o l n ddoe trinh bay trong b i n g 3 va ddpc the hien trgn hinh 8.
Nhan x l t ' Khi cho dien phu t l i hinh bang dat gan sit mep tddng c h i n va chi thay ddi be rong eiia dien phu tai (B) tang d i n ta nhan thay:
• Phan bd eddng dd ap Ide ngang t i c ddng l§n Idng tddng c h i n Idn n h l t (Ao.'"") xuat hien tai do sau khoang {0.10-0,12)Ho, Be rdng dien phu tai (B) cang Idn thi Ao,"™ ed g i l tri cang Idn va g i l tri nay t i l n dan den gia tn q,.
• Phan fad eddng do ap ldc ngang cua dat len Idng tddng (Ao.) ed g i l tri b i n g 0 tai dinh tddng, tang d i n theo dp sSu eiia tddng v l se dat g i l tri Idn nhat tai mdt do sau nhat dinh sau dd g l i m d i n cho den dp sau d l y tddng B l rpng diSn phu t l i (B) eang Idn thi Ao. tai day tddng ed g i l tn cang Idn,
a
».H.
«
,<"
//:
f-^D.
..«,. .^
' • ' ; ' ^ " '
•?
"Ko - B . i
fll o W a . osuq. ^oofl, -1".
T^"TrT^
• • • r
Bing 3, G i l tri Ao,"™, do sau Ao,"™
ddi b l rdng dien phu t i l (B) Khoang
ciicha
0 0 0 0 0 0 0 0 0 0 0 0 D 0 0
Be rdng dientai trong B
0,1H,
0,2H,
0,3H.
0 4 H .
0,5Ho
0 6 H .
0,7H.
OSH.
0 9 H .
1,0 H.
2 0 H .
3.0 H.
4.0 Ho
5,0 Ho
lOH.
flo.™
(Lm/flonvi di^fi tich)
0.i85q,
0,452q,
0,612q,
0,709q.
0,772q>
0,815q>
0,841q,
0,86Dq,
0,875q,
0887q,
0,945q>
0,963qs
0.976q,
0,982q,
0.99Sq, Do sau
daE i a , ™
0,100H.
0,105H.
0.nOHo
0,112H.
0,115H,
0.117H.
0.11BH,
0.116H.
oiiaH„
O I I I H . 0.110H, o.noH, o.iioi)o
O.IISHo
0120H,
g i a t f ] v l d i e m d a t A P ,
Ao, tai day (Ldt/Don VI dien ti'ch)
0 0003q,
OOlOq,
0.023q,
0 041q,
00B3q,
0,090qi
0.119q,
0.150q,
0.182q,
0450q,
0604q,
D694q,
0.752q,
0.874q, AP.
(Ldc/Dmi VI dai)
0063Koq
0126Hoq
0.186H^
0.242H,q
0295H,q
0.344H.q
0.389H.q
0.429Hrf|
0,466Hoq
0,500H.q
0 704Hoq
0-795H,q
O.S43H,q
0,874H,q
0,936H.q khi t h a y
6iem datflP,
0.074H.
0.134H.
01S4Ho 0,226Ho
0,260H,
0.2B9H,
0313Ho
0333H.
0.3SOH,
0 364H.
0,435H.
0,4S9H,
0470Ho
0,477H,
0.489H,
Hinh 8 Bieu tlophan b o u n g s u a i a D . d o p h u H i tren mat dai gay ra len lung tdong khi lhay doi bf rong diSn phu t i l (B)
Be rdng dien phu tai B eing Idn thi eddng dp ldc ngang t i c dung iin Idng tddng (AP.) eang Idn v l d i l m dat eua AP. t r l n lung tudng c i n g sau. Khi B t i l n v l vo cung thi AP, dat den gia tri q,.Ho va d i l m dat Ide I I z
= Ho/2.
• Dda tren bang 3 va bieu dd hinh 8, ta cd the de dang xie dmh ddOe gia tri va dang b i l u do phan bd cddng dp I p luc ngang theo chieu s l u z tren lung tddng cung nhd cddng do ldc ngang v l diem dat cda nd cho elc trddng hdp be rdng dien phu t l i hinh bang tren mat d i t khac nhau.
3.5. Ket qua bai t o l n k h i o sat 4
Cho be rdng dien phu t l i hinh bang rat Idn (B = lOHo), thay ddi khoing c^ch dat tai a tang d i n l l n t d 0 d i n Ho. Tinh toSn gi^ tri fla, theo dd s l u z, tim g i l tn Ao,""" va AP, tdong dng vdi tdng khoang elch a. Ket q u i tinh toan ddpc the hien trong b i n g 4 va the hien tr&n do thi hinh 9, Nhan xet: Khi b l rdng di§n phu t l i hinh bang rat Idn (B = lOHo), va thay ddi khoing each dat dien phu t l i (a) ta n i i l n t h i y :
• Phan bd eddng dp ap ldc ngang t i e dung len Idng tddng cd g i l tri eang Idn khi dien phy t l i cang dit gan tddng c h i n ,
• Khoang each dat t l i trpng (a) ed I n h hddng den sd p h i n bd cddng do I p ldc ngang v l gia tri eddng dp ap ldc ngang Idn nhat tac dung l§n Idng tddng. Dien phy t l i dat gan sit tddng chan thi p h i n bd cddng dd I p ldc ngang Idn nhat dat d i n g i l tri q^,
• Od s l u xuat h i f n gia tri I p ldc ngang Idn n h l t t i c dung len Idng tddng eang s l u khi khoing each a eang Idn.
• Dda tren bang 4 v l b i l u do hinh 9, ta ed t h i de dang x l e dmh dddc g i l tri v l dang bieu dd phan bd cddng dd I p ldc ngang theo ehieu sau z tren idng tddng cung nhu eddng do ldc ngang va diem dat cua no eho
eae trdOng hop dien phu t l i hinh bang tren mat dat dat elch dinh tddng mdt khoang eSch cu the.
Bang 4. Gla tri Ao,""", dp sau Ao,'"*', g i l tri va diem dat AP. khi be rdng dien phy tai hinh bSng B=10Ho
Khoing each a
Be ring dientil trong 8
(Ldc/flon Ao. tai diy (Luc/flonvi dien tich)
[Itfdflan dai)
H'mh9:Bieud6phanbdungsuatAo.dophul en tii trgng B=10H,
4. K^T L U A N
latdatgayralenlimgiucmglthiberang
- Gid nguyen be rong ciia di§n phu t l i hinh bang, nhdng thay doi khoing each dat phu t l i (a) theo xu hddng tang d i n thi cddng dp li/c ngang t i e dung len Idng tddng eing g i l m vi trpng tam eiia diln tfch b i l u do phan bd cddng dd ap ldc len Idng tddng c i n g t i l n ve d l y tUdng - Dda vao cSc b i n g bieu v l do thi trong b l i b i o cd t h i sd bfl xac dinh ddOc cddng dp ap ldc ngang do phu t l i hinh bang phan bd d l u dattren mat dat tSe dung len Idng tddng trong mdt sd trddng hop cy the phuc vu eho viec tinh toan cdng trinh tddng chan dat
TAILIEU THAM KHAO
|1] Braja M. Das. Prinaples of Foundation Engineering Eighth Edition, Timothy L Anderson 2014
[21 Mum Budhu, Soil Merhanitsand Foundations3" Edition.iohnWiley&Son,2011.
13] lARQUlO, R, (1981). Total tateral Surcharge Pressure Due to Strip Load," Journu/oftfte Geotechnical Engineenng ISvmn, Amencan Society of Civil Engineers, Vol, 107
Thdng qua viec phin tich cac trudng hop phu t l i dang hinh bang phan bd deu tac dung tren mat dat ben eanh edng trinh tddng chin d i t ed ehieu cao Ho vdi k h o i n g each a ta cd t h i dda ra mpt sd ket lu|n nhd
- Khi dien phu tai dat gan sat dinh tddng, b l rdng eiia dien dat t l i trpng (B) cang Idn thi gia tn p h i n bd eddng do ap ldc ngang Idn nhat tac dung l§n Idng tddng cang Idn v l vi tri xuat h i l n phan bd cddng do ap ldc ngang Idn nhat tai dd s l u khoang (0.1 -112)Ho, Khi be rdng dien phu t i l (B) t i l n den vd cung thi phan bd cddng do I p Ide ngang len Idng tddng tien den gia tri q „
- Vdl khoang each t d dinh tddng den vi tri dat phu t l i (a) khdng doi nhdng thay doi be rdng eua dien phu t l i hinh bang (B), thi phan bd cddng dd I p ldc ngang tac dung len Idng tddng ed gia tri eing Idn khi be rong dien phu t l i (B) cang Idn,
|44lSiDS1IEii0ll 05.2017