Allowable bearing capacity and settlement Vertical stress increase in soil
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1 5 Allwabl barg aaity and ttlmnt Vrtial tr ra il - du t nntratd lad: 3 5 r r x y - du t irularly ladd ara lad:. G t tabl 5..6 Fd / by dtrmg th trm: r/(/) /(/) 3- blw rtangular ladd ara: th t i at th rnr th rtangl: G t tabl ,d, by dtrmg th trm: m Z L n Z th t i th ntr th rtangl: G t tabl t d by dtrmg th trm: m L n 4- Arximat Mthd ( V : H).. L ( )( L ) ng. Haytham ai
2 5- Avrag vrtial tr ra blw th rnr rtangular ladd ara: Avrag vrtial tr ra a layr il ha dth rm =0 t =H a G t igur t d a by dtrmg th trm: m n H L H Avrag vrtial tr ra ii layr that tart rm dth =H t dth =H, u th llwg rmula: a( H ) a( H) ; ; H a( H ) H H H rm 0 H H / H a a rm 0 H a( H) ttlmnt alulat. lati ttlmnt vr aturatd lay: A A, A = ( H/, L/), A = (D /) and = β. u H : Dth lay layr undr th bttm undat. igur 5.4 t bta A, A tabl 5.7 t gt a tyial valu β = (OR, ). alulat lati ttlmnt bad n latiity thry: ( Flxibl) ( Rigid) 0.93 ( Flxibl, ntr ). 3. mrvd uat r lati ttlmnt = G F / ng. Haytham ai
3 4. lati ttlmnt andy il ug tra lun atr: Tim yar 0. lg 0. D tiv tr at th lvl undat. Q lumn. Lad = Nt undat rur ra. A FundatAra. : tra lun atr, it i givn a hwn blw: ( m) () Fr uar r irular undat Z 0 0. Z =0.5 (m) Z = 0 Fr undat with L/ 0 Z 0 0. Z = (m) Z =4 0 U tn / t t / t KN / m b N Fr irular r uar tg Fr tri tg 000 b / t ng. Haytham ai 3
4 5. ttlmnt undat n and bad n T Myrh thry t i dirnt rm th nt all all D dit nt all rntd hatr3 N 60 Fr 4 t... 4 nt N 60 Fr 4 t... 6 Myrh thught h wa t nrvativ whn h alulatd th nt allwabl barg aaity that h ha rad it valu by 50%:. 5 nt ( all) nt ( all) ud alulatd wl thry: F d : Dth atr D Fd nt ( all) N 60 Fd.m N Fd.m r rlat nglih unit (U) 6. Ttal rimary nlidat ttlmnt : Fr nrmally nlidatd il: H lg : mr dx 0.009(LL-0) H : Thikn layr undr nidrat. : nitial vid rati. : Ovr burnd rur(tivtr). : Addd vrtial rur. ng. Haytham ai 4
5 ng. Haytham ai 5 Fr vrnlidatd lay with <= lg H Fr vrnlidatd lay with 0 < < lg lg H H Fild lad tt (lat lad tt) Fr lay il: u u Fr and il: u u Fr lay: Fr and: xaml A ntuu undat n a dit and layr il, Aum 3 / 5 t b and tim yar r = 0yr. U th tra lun atr t d th lati ttlmnt.
6 lut 0 D b / t Tim yar 0 0.lg 0. lg = 5 x 3 = 495 b / t () ( m) = () = t b / t t t th ntr ah art at th ntr ah art t 3 / b 6 6, , , , b / b / t i givn by trlat t 73. 7mm xaml Fd th i th uar tg that arry allwabl lad 000 KN givn that: N 60 0 mm 5 all U wl thry. ng. Haytham ai 6
7 ttlmnt (mm) lut A th lad i rlativly larg, w will lv aumg >.m nt ( all) nt ( all) N N Fd y trial and rrr, =.3m Fd xaml3 Frm lat lad tt th llwg rult wr givn: uar lat (305mm x 305mm) Allwabl lad n undat = 500KN. all = 5mm and il. Dtrm th i uar undat. Rlat btwn ttlmnt and tr tr (KN/m) lut Q 500 A :tr n lat. (m) KN / m (Trial and rrr) mm givn mm givn hk 5mm rm urv rm uat Nt OK OK that th arriat width undat i 3.m ng. Haytham ai 7
8 xaml4 Rr t th llwg igur,dtrm th avrag tr ra th lay layr blw th ntr th undat du t th nt undat lad 50 tn. Atr that, dtrm th rimary nlidat ttlmnt r th lay layr. lut: H ah H a H H H `T d blw th ntr th undat, w hav t ubdivid th ara a hwn th igur. 4 r 50 t / t b / t 55 T d ah :.5 m n 0.3 = 0. a H T d ah :.5 m n = 0. a H b / t H lg H 0 lg lg lg 0.37 t aly at 0, 0.06, 000 and 00 at 0.7, 0.5 ng. Haytham ai 8
9 xaml5 Rr t th llwg igur,th nt lad r unit ara at th lvl undat i 300 b/t. Aum that th undat i rigid, dtrm th lati ttlmnt that th undat will undrg bad n th thry latiity i artial lut : lv it by yurl and gt n mark bnu ( Rigid) ( Flxibl ) 0.93 ( Flxibl, ntr ). F = F = = =0.88 ( Rigid ) xaml 6 Rr t th llwg igur, dtrm ttlmnt th undat. lut: A A H 3.5 A 0.66 L KN / m aturatdlay D. 0.8 A m 4m KN / m ng. Haytham ai 9
10 xaml 7 Rr t igur 5.6 yur txt bk, th tr n th lvl undat i 300,r th and. = 0.3, =300 b/, D =.95 t, H=3 t,u a tim 5 yar r th r and 0.Aum that th undat i uar 6.5 x 6.5 t,dtrm th lati ttlmnt that th undat will undrg ug lun l atr. lut : 300 D lg = 0 x ( ) = 68 () ( m) = () Z( t) Z(t) t th ntr layr ( ) Z at th ntr th layr (300* ) t xaml 8 Tw lat lad tt with uar lat wr ndutd th ild. At. ttlmnt, th rult wr :- Width lat () Lad (b) 8, What i uar tg i ruird t arry a nt lad 50,000 b at a ttlmnt. ng. Haytham ai 0
11 ng. Haytham ai lut: t n m A Q b n i m n m n m A Q n m n A m Q A A /
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