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Keynote lecture Eurocode 7 – fundamental issues and some implications for users
Eurocode 7 – fundamental issues and some implications for users B. Simpson Arup, UK,
[email protected]
Simpson, B (2012) Eurocode 7 – fundamental issues and some implications for users. Keynote Lecture, Proc Nordic Geotechnical Meeting 2012. DGF Bulletin 27.
ABSTRACT As Eurocode 7 becomes more widely used, questions raised by designers hae highlighted issues that require !urther debate and clari!ication. "ost o! these hae e#isted, in one !orm or another, !or many years, but the adent o! a new code, proiding a common language, has brought them
into sharper !ocus. Somealues o! these issues will be considered this paper$ the selection o! characteristic and design o! soil parameters, design in in situations dominated by water pressures, the releance o! the E%U limit state and the use o! numerical analysis !or U&S design. 'he selection o! parameter alues !or calculations !requently leads to debates among geotechnical designers. Eurocode 7 attempts, in an rather qualitatie way, to point towards a target reliability !or characteristic alues, while proiding a !ramewor( in which the precious e#pertise o! indiidual engineers can be !ully e#ploited. )roblems o! water pressures and the E%U limit state hae a lot in common$ how to ma(e proisions !or sa!ety in situations where !orces largely balance one another and material strength plays a small, but o!ten ital, part. *umerical models are now widely used to study sericeability, but their use in chec(ing ultimate limit states has been questioned+ how are partial sa!ety !actors to be applied, at what point in staged calculations, and can they be used with adanced nonlinear models o! soil behaiourEach o! these issues is discussed and some practical solutions suggested. Keywords: Codes of practice & standards; Design; Strength and testing of materials; Groundwater; Numerical modelling.
T$e paper refers to pre0ious pu%lications in /$ic$ more detail, and in some cases a more riorous account may %e found2 Sc$uppener et al ')**(-, Simpson and 3ocom%e ')*1*- and Simpson et al ')*11-. References to specific pararap$s in EC7 /ill %e s$o/n t$us2 4...5.
1 ITR!"#CTI! T$is paper considers topics t$at are currently under de%ate in relation to t$e application of Eurocode 7 &art 1 'E1((71 )**+, referred to $ere as EC7-. T$e issues raised are fundamental to eotec$nical enineerin, not artefacts of t$e ne/ code, t$ou$ t$ey may $a0e %een %rou$t to a $ead %y attempts to systematise eotec$nical procedures. T$e paper /ill pro0ide a re0ie/ of opinions on t$e issues discussed, and, /$ere possi%le t$e aut$or /ill i0e $is o/n opinion /it$ ustification.
) SA6ET 6!R8AT !6 EC7 T$e safety format in EC7 uses a limit state approac$. 9imit states are states of a construction %eyond /$ic$ t$e %e$a0iour is considered unaccepta%le. T$e aim of analyses is t$erefore to s$o/ t$at t$ese states /ill not %e e:ceeded.
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Keynote lecture Eurocode 7 – fundamental issues and some implications for users 'able . /actors proposed by 0E* !or the three 1esign Approaches. DA1 Actions
Soil
Permanent Variable tan ϕ'
Comb 2
unfav
Comb 1 1,35
fav unfav
1,5
1,3 1,25
DA2
DA3
1,35
1,35
1,5
1,5/1,3* 1,25
Piles
1,3
Effective cohesion
1,25
1,25
Undrained strength Unconfined
1,
1,
1,
1,
strength !eight densit" Spread
#earing
footings
$liding
Driven
#ase
1,3
1,1
piles
$haft %com&ression (otal/combined %com&ression
1,3
1,1
1,3
1,1
1,)
1,15
$haft in tension
1, 1,1
1,25
1,1
ote2 alues of all ot$er factors are 1.*. 6urt$er resistance factors are pro0ided for ot$er types of piles, anc$ors etc. ? 1. for structural loads< 1.@ for loads deri0ed from t$e round.
EC7 re;uires t$at %ot$ ultimate limit states '#9S- and ser0icea%ility limit states 'S9S- %e considered. 8ost of its te:t refers to #9S, for /$ic$ t$e main approac$ is %ased on use
applied to resistances rat$er t$an to material strent$s. T$ere are some situations in /$ic$ factorin loads at source leads to unreasona%le situations, especially in t$e
of partial factors. !pinions in Europe differ a%out /$ere and $o/ t$ese s$ould %e applied, and t$is is left to national c$oice< t$e 0alues to %e adopted for partial factors may also %e 0aried nationally. T$ree alternati0e ="esin Approac$es> $a0e %een de0eloped, com%inin partial factors in different /ays< t$e factor 0alues proposed in t$e European document are s$o/n in Ta%le 1, modified as noted %elo/ for "A1 Com%ination 1. In "esin Approac$ 1 '"A1-, t/o =com%inations> of partial factors are specified, and t$e desin must %e s$o/n to accommodate %ot$ com%inations. Essentially, t$ey are used in t$e same /ay as load com%inations, %ut t$e concept is e:tended to include material strent$s and resistances. &artial factors are enerally applied to eit$er loads '%efore com%inationor round strent$s '%efore calculation of resistances-, t$ou$ /it$ some e:ceptions. In countries t$at use "A1, t$e factors on round materials and strent$s are enerally set to 1.* in Com%ination 1, as s$o/n in Ta%le 1. 6or desin of piles and anc$ors, factors are
desin of retainin structures. 6or t$ese, EC7 allo/s t$e factors to %e applied to t$e effects of t$e loads, and t$is is used /$ere appropriate in =Com%ination 1> of "A1. In "A), partial factors are applied to loads and to round resistances. In a 0ariant of "A), "A)?, t$e e;uili%rium calculation is carried out usin unfactored '=representati0e>- loads, and t$e factors are applied to deri0ed load effects. It $as %een found t$at "A) and "A)? are unsuita%le for slope sta%ility pro%lems and for use of numerical met$ods, so most countries /$ic$ $a0e adopted "A) use "A@ for slope sta%ility and for numerical met$ods. In "A@, factors are applied to material strent$ and to loads simultaneously, in contrast to t$e t/ocom%ination approac$ of "A1 in /$ic$ t$ey are applied to t$e t/o separately and t$e results compared. A fe/ countries propose to use "A@ for all types of desins, /it$ factors ;uite different from t$ose s$o/n in Ta%le 1 in most cases.
)
Keynote lecture Eurocode 7 – fundamental issues and some implications for users @ C3ARACTERISTIC A9#ES
A"
"ESI
to determinin c$aracteristic properties of materials in structural and eotec$nical desin.
2. Bac(ground in design practice 8any codes and te:t %ooDs tell t$e enineer $o/ to analyse results of specific, indi0idual tests and deri0e parameters t$at define t$e round, particularly its strent$ and deformation c$aracteristics, so t$at t$ese can %e used in calculations< some of t$is information is repeated in EC7 &art) 'E1((7)-. In practice, t$e eotec$nical process is more complicated t$an t$is, $o/e0er. A0aila%le information is often sparse in ;uantity, 0aria%le in ;uality and relia%ility, some of it from precise measurement at t$e rele0ant location in t$e round on t$e construction site, some inferred from a eneral understandin of t$e eoloy, some taDen from te:t %ooDs, papers or lecture notes, /$ere it may $a0e %een deri0ed %y %acD analysis of anot$er e0ent in a similar, %ut not identical situation some distance a/ay, and so on. T$ese sources may complement one anot$er, %ut t$ey may also %e found to %e inconsistent and contradictory.
2.3 1e!initions in E* 445 E 1((* contains t$e concept t$at material properties, or resistances, are first entered into calculations as characteristic alues 6(, to /$ic$ prescri%ed partial factors are applied to o%tain design alues 6d. T$is relations$ip is pro0ided in E;uation .@ of E 1((*2 Xd
=
ηXk/γm
'1-
/$ere η is a con0ersion factor relatin 0alues measured in tests to actual 0alues in t$e real construction, and γm is a partial factor for t$e material. E1((* notes t$at η may %e incorporated into γm 'i0in γ"- or into t$e c$aracteristic 0alue. T$us t$e c$aracteristic 0alues are used in t$e deri0ation of desin 0alues, /$ic$ incorporate all t$e safety elements re;uired %y t$e Eurocodes. To maDe t$is process /it$ prescri%ed partial factors useful, it is
6urt$ermore, e0endirectly, /$en rele0ant can %e measured per$apsparameters %y an in situ test, t$eir 0alues may %e c$aned %y t$e construction process itself, or %y some future e0ent suc$ as loadin or e:ca0ation. In structural desin, it is commonly t$e case t$at drafters of codes of practice $a0e more Dno/lede a%out t$e parameters of strent$ and loads rele0ant to a particular desin, and t$eir 0aria%ility, t$an does t$e desiner. 6or e:ample, code drafters may %e more Dno/ledea%le a%out /ind loadin, floor loadin, 0ariations in dimension of cast in situ concrete, or seismic loadin t$an is t$e desiner, and t$e same applies to t$e 0aria%ility of steel and concrete. 3o/e0er, in
necessary t$at c$aracteristic 0alues are defined as clearly as possi%le. E 1((* 4+.)5 says t$at t$e c$aracteristic 0alue of a material parameter /ill enerally %e a F fractile 0alue 'ie of test results-, unless ot$er/ise stated in t$e ot$er Eurocodes rele0ant to particular materials.
2.2 1e!inition in E07 T$e prime definition of c$aracteristic 0alue in EC7 is2 =T$e c$aracteristic 0alue of a eotec$nical parameter s$all %e selected as a cautious estimate of t$e 0alue affectin t$e occurrence of t$e limit state> 4).+..)')-5. EC7 re;uires t$at data from la%oratory and field tests s$ould %e =complemented %y /ellesta%lis$ed e:perience> 4).+..)'1-5. T$ese pararap$s maDe it clear t$at t$e c$aracteristic 0alues re;uired %y EC7 are to %e estimated, re;uirin a deree of $uman udement, and t$ey are to %e cautious, not simply =%est estimates>, =most pro%a%le> or statistically mean 0alues. T$ey are to %e cautious estimates of =t$e 0alue affectin t$e occurrence of t$e limit state>, t$at is, t$e
eotec$nical desin, t$e desiner Dno/s t$e location of t$e site, somet$in of its eoloy and round /ater conditions and t$e results, or paucity of results, of t$e round in0estiation, toet$er /it$ t$eir liDely relia%ility. T$is information 0aries considera%ly from one desin to anot$er and could not possi%ly %e Dno/n %y t$e code drafter. Because of t$is, t$ere are considera%le differences %et/een approac$es @
Keynote lecture Eurocode 7 – fundamental issues and some implications for users 0alue actually operati0e in t$e round, not simply t$e 0alues measured in tests, and t$ey are to taDe into account /ellesta%lis$ed e:perience as /ell as test results made for t$e particular proect. Referrin to E;uation '1- a%o0e, taDen from E1((*, t$e re;uirement in EC7 for =t$e 0alue affectin t$e occurrence of t$e limit state> is e;ui0alent to incorporatin t$e con0ersion factor η, in t$is case relatin soil test results to real round %e$a0iour, into t$e c$aracteristic 0alue, as allo/ed %y E 1((*. &ararap$ 4).+.@'+-5 notes t$at assessment of round properties s$ould taDe account of =t$e effect of construction acti0ities on t$e properties of t$e round>. T$e =e:perience> to %e considered in estimatin t$e c$aracteristic 0alue is noted in 4).+..)'+-52 eoloical and ot$er %acDround information, suc$ as data from pre0ious proects. T$is pararap$ also lists t$e follo/in items as rele0ant to t$e re;uired estimate2 • t$e 0aria%ility of t$e measured property 0alues and ot$er rele0ant information, e.. from e:istin Dno/lede< • • •
•
0ariation seen in tests on small specimens. In t$ese cases, t$e c$aracteristic 0alue s$ould %e a cautious estimate of t$e mean 0alue for t$e Gone of round o0ernin t$e %e$a0iour of a eotec$nical structure at a limit state 4).+..)'7-5. T$is is illustrated in 6iure 1, /$ic$ s$o/s a %uildin to %e desined at t$e top of a slope formed in =estuarine %eds>, consistin larely of sands %ut /it$ some /eaDer clay inclusions. Considerin t$e o0erall slope sta%ility, any failure /ould $a0e to pass t$rou$ a maority of t$e sands, and could a0erae out t$e effects of t$e /eaDer clay Gones< so in t$is case t$e rele0ant c$aracteristic parameter, possi%ly ϕH, /ould %e a cautious estimate of t$e mean for t$e slip surface. 3o/e0er, in considerin t$e indi0idual pad foundations for t$e %uildin, it could %e possi%le t$at a pad /ould %e located almost e:clusi0ely on clay, so t$e c$aracteristic 0alue for t$e foundation desin /ould %e %ased on t$e strent$ of t$e /eaDer clay. Anot$er possi%ility is t$at t$e desiner c$ooses to $a0e round %eneat$ eac$ pad pro%ed to c$ecD for clay, and t$is is to %e
t$e e:tent of t$e field and la%oratory in0estiation< t$e type and num%er of samples< t$e e:tent of t$e Gone of round o0ernin t$e %e$a0iour of t$e eotec$nical structure at t$e limit state %ein considered< t$e a%ility of t$e eotec$nical structure to transfer loads from /eaD to stron Gones in t$e round.
du out if it 0alue is found. t$ata case, t$e c$aracteristic couldIn %e cautious estimate of t$e strent$ of parameters of t$e stroner sand. It can %e seen, t$erefore, t$at t$e c$aracteristic 0alue depends on t$e failure mode, t$e e:tent of t$e Gone of round affected, and t$e /ay it $as %een in0estiated.
2. Use o! statistics Alt$ou$ t$e definition of c$aracteristic 0alue in EC7 is not %asically statistical, statistical met$ods could %e useful in its assessment, and $elp to define t$e term =cautious>. &ararap$ ).+..)'11- says =If statistical met$ods are used, t$e c$aracteristic 0alue s$ould %e deri0ed suc$ t$at t$e calculated pro%a%ility of a /orse 0alue o0ernin t$e occurrence of t$e limit state under consideration is not reater t$an F.>. Aain, attention is dra/n to t$e real, o0erall %e$a0iour in t$e round – =o0ernin t$e occurrence of t$e limit state> – so t$e precedin pararap$s a%out mean 0alues in a Gone of influence still apply.
/igure . Building on estuarine beds.
Alt$ou$ t$e c$aracteristic 0alue is defined to %e =cautious>, not a statistical mean 0alue, it is noted t$at t$e round $as t$e a%ility to a0erae out some of t$e +
Keynote lecture Eurocode 7 – fundamental issues and some implications for users T$e re;uirement to consider information from all a0aila%le sources also still applies. &ararap$ ).+..)'1*- says t$at if statistical met$ods are employed t$ey s$ould allo/ t$e use of a priori Dno/lede of compara%le round properties, and differentiate %et/een local and reional samplin. T$is re;uires ;uite ad0anced use of statistics. EC7 certainly does not encourae t$e replacement of /ell esta%lis$ed e:perience and /ellresearc$ed information %y simple statistical analysis of t$e immediately a0aila%le test results. e0ert$eless, statistical analysis of test results may pro0ide one source of useful information, to %e considered alonside ot$er a0aila%le sources. arious aut$ors $a0e considered statistical approac$es to a =cautious estimate of t$e mean 0alue for t$e Gone of round o0ernin t$e %e$a0iour of a eotec$nical structure at a limit state>. Sc$neider '1((7- suested t$at a 0alue taDen to %e *. standard de0iations from t$e mean of directly rele0ant test results could %e used. It can %e seen in 6iure ) t$at t$is is ;uite different from a F fractile of t$e test
com%ined %y statistics. T$e desiner must %e con0inced t$at a =cautious estimate of t$e 0alue affectin t$e occurrence of t$e limit state> is %ein adopted.
/igure 3. 1eriations o! 8characteristic alues9
results, %ein muc$ closeroftoort$ t$e mean of t$e results. In t$e conte:t American practice, "a$l%er and Ronold '1((@- and BecDer '1((- for more eneral use proposed t$e use of a =conser0ati0ely assessed mean> 'CA8- as t$e c$aracteristic 0alue, suc$ t$at for a normal distri%ution 7F of t$e measured 0alues /ould %e e:pected to e:ceed t$is 0alue. T$is re;uires an offset of *.( standard de0iations from t$e mean, for a normal distri%ution, as s$o/n in 6iure ). 6oye et al ')**- taDe up t$e same idea proposin to use a CA8 /it$ *F e:ceedance, e;ui0alent to *.+ standard de0iations %elo/ t$e mean of t$e test results for a normal distri%ution. 8ore recently,
Bored pile
/igure 2. Undrained shear strengths !rom borehole samples on site.
2.: A &ondon e#ample 6iure @ s$o/s t$e results of a series of undrained s$ear strent$ measurements in 9ondon Clay. T$e measurements /ere made usin unconsolidated undrained tria:ial tests. A statistical mean line $as %een dra/n t$rou$ t$e data and it is clear t$at undrained strent$ increases /it$ dept$. A c$aracteristic line is re;uired, and t$is s$ould depend on $o/ t$e c$aracteristic 0alues /ill %e used /$at is t$e limit mode %ein considered 6or e:ample, if t$e undrained strent$ is needed for calculation
Tiete et al ')*11- $a0e discussed $o/ c$aracteristic 0alues can %e deri0ed for slope sta%ility pro%lems, taDin account of t$e coefficient of 0ariation of test results and t$eir spatial correlation. In t$e aut$orJs 0ie/, t$ese statistical approac$es are useful aids, %ut t$ey must ne0er %e allo/ed to replace or o0errule t$e use all information from all rele0ant sources, e0en /$en t$e sources are not easily
Keynote lecture Eurocode 7 – fundamental issues and some implications for users of t$e s$aft resistance of a pile, a 0alue suc$ as t$e Lcautious 'a0erae-J 0alue s$o/n on t$e fiure could %e used. 3o/e0er, for a mec$anism t$at mi$t taDe place in a small Gone of soil, suc$ as at t$e %ase of a pile, a more cautious 0alue t$e Lcautious 'local-J 0alue s$ould %e adopted.
/igure :. 0omparison o! results.
!n t$e %asis of t$ese inconsistent data sets, /$at 0alue s$ould %e used as t$e c$aracteristic undrained strent$ T$e 0alues measured in t$e tria:ial tests s$ould not %e inored, %ut t$e S&T results and t$e data from adacent sites s$ould also affect t$e decision. T$e c$aracteristic 0alue proposed for t$ese data is s$o/n on 6iure . T$is is less t$an t$e initial assessments in 6iure @, /$ic$ /ere %ased on t$e tria:ial results only, and is closer to a lo/er %ound of t$is particular set of tria:ial results.
/igure . S)' results !rom boreholes on site. 6rom t$ese %ore$oles, results from standard penetration tests /ere also a0aila%le, as s$o/n in 6iure +. In 9ondon Clay, t$ere is usually a constant factor %et/een standard penetration and undrained s$ear strent$ results< t$e factor is a%out +. to . 3o/e0er, if t$e mean line from t$e S&T results is transferred onto t$e undrained strent$ plot, as in 6iure , it appears t$at t$e normal correlation does not /orD. In fact, t$e measured undrained strent$s are remarDa%ly $i$2 t$ey are consistent /it$ 0ery lo/ /ater contents, /$ic$ /ere measured, %ut t$is mi$t simply mean t$at t$e samples $ad dried out on t$e /ay to t$e la%oratory, t$ou$ t$ere /as no reason to suspect t$is. 6iure also s$o/s lines representin mean 0alues t$rou$ data from ot$er near%y sites, %ot$ for undrained s$ear strent$ and S&T results. T$e usual close correlation applies to t$ese, and it is clear t$at t$e undrained strent$s for t$e ne/ site are remarDa%ly $i$.
/igure ;. 0hosen characteristic alues.
Keynote lecture Eurocode 7 – fundamental issues and some implications for users Enineers often need to follo/ t$is sort of process /$en tryin to interpret real data. It may %e t$at statistical met$ods could trace a similar loical se;uence. 3o/e0er, t$is /ould re;uire ;uite ad0anced met$ods and any statistical approac$ /$ic$ failed to taDe account of t$e di0erse array of data, typically a0aila%le, /ould %e $armful to t$e desin process.
enerally t$e strent$ to %e used in Eurocode 7 is t$e ma:imum a0aila%le to pre0ent collapse, not a 0alue mo%ilised in a /orDin state.
2.7 1esign alues o! ϕ= M$ereas t$e selection of c$aracteristic 0alues is common to all t$e "esin Approac$es of EC7, only approac$es "A1 and "A@ re;uire deri0ation of desin 0alues of material properties. T$is section is rele0ant to t$em. Eurocode 7 allo/s t/o alternati0e means of deri0in desin 0alues of material properties2 a- %y application of a partial factor γ", as discussed a%o0e. %- %y =direct assessment>, in /$ic$ case =t$e 0alues of t$e partial factors recommended ... s$ould %e used as a uide to t$e re;uired le0el of safety>. It is often asDed /$ere t$e use of a critical state anle of friction fits into t$is sc$eme. T$e suestion is made %y some t$at as t$e anle of friction cannot fall any lo/er t$is 0alue could %e used as a directly
2.; It is sometimes necessary to c$ose from one of t$e follo/in, dependin on circumstances2 • peaD, critical state or residual s$ear strent$ • ultimate strent$ or a =mo%ilised> 0alue • strent$ of intact material or strent$ on oints • strent$ at first loadin or after repeated loadin • stiffness of intact rocD or of t$e ointed material • stiffness on first loadin, or on unload reload In all cases, t$e ans/er of Eurocode 7 is2 =T$e one t$at is rele0ant to t$e pre0ention of t$e limit state under consideration.> EC7 does not differ in t$is respect from normal practice. 6or some particular situations, t$e code is a%le to specify /$ic$ of t$ese 0alues is rele0ant. 6or e:ample, /$ere concrete is to %e cast aainst round, /$ic$ mi$t t$erefore %e distur%ed, t$e critical state 0alue for t$e anle of s$earin resistance is re;uired 4..@'1*-, (..1'-5 . T$is ans/er to t$e ;uestion is not t$e same as2 =T$e one /$ic$ /ould %ecome rele0ant if t$e limit state /as not pre0ented.> 6or e:ample, in most plastic clays, if a slip occurred, t$e anle of s$earin resistance /ould e0entually fall to t$e residual 0alue. e0ert$eless, it is not necessary to desin for residual strent$ in clays /$ic$ $a0e not pre0iously slipped. Similarly, it may %e unnecessary to desin for critical state 0alues, t$ou$ %rittleness and ductility must %e considered, as noted in 4).+.1'1@-5 and 4).+.@'+-5.
assessed desin 0alue, re;uirin no furt$er γ". T$is /ould mean t$at no marin of safety /ould %e applied to t$e strent$ of soil %elie0ed to %e in an initially loose state. It is true t$at part of t$e uncertainty a%out ϕ= is t$e state of t$e soil, /$ic$ ele0ates its 0alue a%o0e t$e critical state 0alue. 3o/e0er, in t$e aut$orJs e:perience, round in0estiation is often inade;uate to i0e t$e desiners complete confidence in t$e actual nature of t$e soil, suc$ as its radin, apart from its state of compaction. !n t$is %asis, t$e desin 0alue of ϕ= for loose soil s$ould %e less t$an its anticipated critical state 0alue. T$e critical state 0alue is directly rele0ant to t$e strent$s of interfaces %et/een t$e round and concrete cast aainst t$e round 4..@'1*-, (..1'-5. In t$e aut$orJs 0ie/ it is arua%le t$at t$e reduction factor γϕ applied to t$is could %e less t$an t$e 0alue used enerally in t$e %ody of t$e soil, per$aps 1.1 instead of 1.), pro0ided its desin 0alue is still less t$an t$e desin 0alue for t$e %ody of t$e soil. 7
Keynote lecture Eurocode 7 – fundamental issues and some implications for users 6or soil in a denser state, t$e desin 0alue in t$e %ody of t$e soil /ill normally %e o%tained from t$e c$aracteristic 0alue %y application of a partial factor γϕ. !ften, t$is /ill mean t$at t$e desin ϕ= /ill %e less t$an a cautious estimate of t$e critical state 0alue, ie ϕ=d > ϕ=(?γϕ ϕ=crit,(. In t$e aut$orJs opinion, t$is is a 0ery useful additional safety c$ecD 'ie ϕ=d ϕ=crit,(-, and it /ould %e ood if it /ere added, at least as an application rule, to EC7.
o0er0ie/ /ill %e pro0ided $ere in an attempt to $elp t$e reader understand t$e conclusions and remainin de%ate. Simpson et al discussed fi0e =simple> pro%lems intended to $i$li$t particular issues, toet$er /it$ t$ree more practical desins. T$is /orD is limited to considerin conditions of $ydrostatic /ater pressures or steady state seepae, in /$ic$ /ater pressures are specified in calculations, independent of t$e loadin and stressstrain %e$a0iour of t$e round. Situations in0ol0in t$e timedependent response of t$e round are not discussed.
2. /urther deelopment by S07 CENTC)*NSC7 $as set up E0olution roup 11 on =c$aracterisation>, c$aired %y 9o0isa 8oritG of S/eden. !ne of t$e tasDs of t$is roup is to consider t$e deri0ation of c$aracteristic 0alues.
.3 Cequirements o! E07 EC7 reconises fi0e types of ultimate limit states2 EO#2 loss of e;uili%rium in /$ic$ t$e strent$s of materials is insinificant STR2 failure of structural elements E!2 failure in t$e round #&92 failure due to uplift %y /ater pressure '%uoyancy3"2 $ydraulic $ea0e T$e particular pro%lems of 3" /ill %e
+ "ESIS "!8IATE" B MATER &RESS#RE
. ntroduction In sur0eys of 0ie/s on EC7, reater clarity of re;uirements for safety pro0isions in relation to /ater pressures is a fre;uent re;uest. As in t$e case of deri0ation of c$aracteristic 0alues, t$e aut$or %elie0es t$is re;uest reflects a pro%lem t$at predates EC7. CENTC)*NSC7 $as set up E0olution roup ( on /ater pressures, c$aired %y &rofessor or%ert ot of ermany. Mater pressures raise t/o particular pro%lems2 a- T$ey sometimes constitute lare forces t$at are critical to desin and $a0e /ell defined ma:imum 0alues, /it$ little real uncertainty. %- Besides constitutin forces, /ater pressures reduce t$e strent$ of frictional
discussed in +.( %elo/. STR and E! may occur toet$er and t$ey are c$ecDed usin load factors of 1.@ and 1. on unfa0oura%le permanent and 0aria%le loads, respecti0ely, /it$ 1.* and *.* on t$e e;ui0alent loads /$en actin in a fa0oura%le manner. T$e load factors used for #&9 are enerally lo/er2 1.1 for unfa0oura%le actions, enerally /ater pressure, and *.( for fa0oura%le, enerally /ei$t of a potentially %uoyant structure. T$e /ay in /$ic$ t$e STRNE! factors are to %e applied /$en /ater pressure is a leadin action is a particular point of de%ate. EC7 says2 =M$en dealin /it$ round /ater pressures for limit states /it$ se0ere
soils. T$us t$eyand $a0et$is a dou%le in soil mec$anics, is alsoeffect true of any partial factors applied to t$em. T$e issues raised %y desins dominated %y /ater pressure /ere considered %y Simpson , ot and 0an Seters ')*11- in a paper re;uested %y t$e EC7 committee CENTC)*NSC7. Reference to t$at paper is recommended for full details of t$e /orD, includin mat$ematics. A less mat$ematical
conse;uences 'enerally ultimate limit states-, desin 0alues s$all represent t$e most unfa0oura%le 0alues t$at could occur durin t$e desin lifetime of t$e structure> 4).+..1'-&5. otin t$at =desin 0alues> are 0alues t$at already incorporate safety, re;uirin no furt$er partial factors, t$is pararap$ indicates direct assessment of #9S desin 0alues on t$e %asis of t$eir p$ysical limits in e:treme, %ut credi%le
Keynote lecture Eurocode 7 – fundamental issues and some implications for users situations. 6or ser0icea%ility limit states, t$e desin 0alues are to %e less se0ere, correspondin to =normal circumstances>. E:pandin on t$is t/o pararap$s later, EC7 pro0ides an application rule2 ="esin 0alues of round/ater pressures may %e deri0ed eit$er %y applyin partial factors to c$aracteristic /ater pressures or %y applyin a safety marin to t$e c$aracteristic /ater le0el> 4).+..1'-5. It t$erefore appears t$at t$e desiner can c$oose %et/een direct assessment, factorin /ater pressures or adustin /ater le0els to deri0e #9S desin /ater pressures. An earlier pararap$ on actions is also important2 =Actions in /$ic$ round and free/ater forces predominate s$all %e identified for special consideration /it$ reard to deformations, fissurin, 0aria%le permea%ility and erosion> 4).+.)'(-&5. T$is $as attac$ed a sinificant note, outlinin t$e single source principle2 =#nfa0oura%le 'or desta%ilisin- and fa0oura%le 'or sta%ilisinpermanent actions may in some situations %e considered as comin from a sinle source. If t$ey are considered so, a sinle partial factor
If t$ese =secondary> actions or action effects are lare, failure could occur %ut t$e fault may %e seen to rest /it$ t$e o/ners or maintainers of t$e structure, or t$e 0andals< alternati0ely, t$e desiner s$ould $a0e foreseen t$em and /as /ron to omit t$em from t$e primary actions for /$ic$ t$e structure /as desined. 3o/e0er, if t$e secondary actions or action effects are small, t$e o/ner /ould reasona%ly e:pect t$e structure to %e sufficiently ro%ust to /it$stand t$em. In t$is conte:t, =lare> and =small> effects $a0e to %e uded in relation to t$e manitude of t$e primary actions. It follo/s t$at e0en /$ere t$ere is no real possi%ility of unfa0oura%le 0ariation of t$e primary actions, it may %e necessary to include some 0ariation of t$em in desin in order to accommodate t$e possi%le secondary actions t$at are not ot$er/ise included. T$e uncertainty of t$e /ay t$e actions produce effects /it$in a structure also $as to %e accommodated. T$e 0ariations could %e applied eit$er to t$e actions t$emsel0es, in deri0in desin
may applied to t$e sum of t$ese actions or to t$e%esum of t$eir effects.>
0alues, or to t$e action effects. . E#plicitly accommodate the worst water pressures that could reasonably occur As noted in +.) a%o0e, EC7 re;uires for #9S desin t$at t$e desin /ater pressures desin 0alues s$all represent t$e most unfa0oura%le 0alues t$at could occur durin t$e desin lifetime of t$e structure.
.2 Cobustness D allow !or secondary actions and action e!!ects E0en in cases /$ere t$e manitudes of t$e primary actions are fi:ed /it$ no possi%ility of unfa0oura%le 0ariations, desins s$ould %e sufficiently ro%ust to accommodate unDno/n and unpredicta%le secondary actions. 6urt$ermore, e0en /$ere t$e manitudes of actions are fi:ed, t$e 0alues of resultin action effects /it$in a structure may $a0e some uncertainty< t$at is, t$ere is uncertainty in t$e loadin model. In t$e cases considered $ere, t$e primary unfa0oura%le actions are deri0ed from /ater pressure, /$ic$ in some cases may $a0e 0ery clear limits. Secondary actions could include, for e:ample, sedimentation around a structure in /ater, e:ca0ation of t$e round a%o0e a structure relyin on t$e /ei$t of round, minor 0e$icle or s$ip impacts, considered too small to include in calculations, or 0andalism of 0arious Dinds.
/igure 7. raity wall retaining !ree water.
6iure 7 s$o/s a /all supportin /ater pressure. A drain is pro0ided, /it$ t$e intention t$at t$e dept$ of /ater %e limited to @m. 3o/e0er, if t$e drain s$ould %ecome %locDed and t$e /ater dept$ increases to +m, (
Keynote lecture Eurocode 7 – fundamental issues and some implications for users
/igure . Submerged anchor bloc(.
t$e %endin moment in t$e /all is increased %y a factor of ).. Clearly, a desin t$at tooD t$e e:pected /ater dept$, @m, and applied a partial factor of 1.@ to t$e /ater pressure or %endin moment /ould %e inade;uate if t$e +m dept$ occurred. T$is e:ample illustrates /$y it is essential t$at desins e:plicitly accommodate t$e /orst /ater pressures t$at could reasona%ly occur.
illustrated in 6iure (. 8et$ods @ and + %ot$ follo/ t$e sinle source principle, noted in +.) a%o0e, %ut 8et$ods 1 and ) do not.
.: 'he single source principle 6iure s$o/s an anc$or %locD, for /$ic$ t$e total /ei$t < is a permanent sta%ilisin 'fa0oura%le- force and t$e anc$or force / is a 0aria%le desta%ilisin 'unfa0oura%le- force. T$e c$aracteristic total density of t$e %locD is γc and t$at of t$e /ater γw. T$e /ater forces are taDen to %e permanent. T$e strent$ of t$e round or structure are not at issue, so t$e only ultimate limit state to %e considered for t$e anc$or %locD is uplift, #&9. 6or t$is, EC7 pro0ides t/o factors for permanent actions, a%%re0iated $ere as γ+dst 'enerally P 1- for t$e desta%ilisin force and
/igure 4. /actored water pressures on anchor bloc(. FaG 0haracteristic Fand "ethod G, FbG "ethod , FcG "ethod 3, FdG "ethod 2.
γ+stb 'enerally Q 1- for t$e sta%ilisin force< t$e factor for t$e 0aria%le desta%ilisin force is γ%+dst 'P 1-. It is clear t$at t$e c$aracteristic /ei$t of t$e %locD, .3:. *
γ ϕ 1+25 γ ϕ 1+5
1*m
5**
1***
15**
-.m/m
/igure U&S analysis o! m deep e#caation D bending4. moments.
;.: Staged construction umerical met$ods are often used to study t$e ser0icea%ility of desins for staed e:ca0ations. 6iure )1 s$o/s t/o alternati0e strateies t$at $a0e %een used to carry out #9S analyses /it$ factored soil strent$s. In Stratey 1, all soil strent$s from t$e start and t$rou$out t$e computation. In Stratey ), t$e computation is initially carried out /it$ unfactored strent$s, t$en, in separate %ranc$in computations, soil strent$s are factored at critical staes, considered separately. T$ese alternati0es $a0e %een discussed pre0iously %y many Bauduin et al ')***-, Simpson and
/igure 35. U&S analysis o! m deep e#caation D γ > .:.
desin is accepta%le or not, as in fact t$e met$od 'a- analysis s$o/ed it /as.
aGdc$i ')**@- and, in t$e conte:t of tunnel desin, C$eun et al ')**(-. Referrin to .@ a%o0e, met$od 'a- can %e used /it$ Stratey 1 or ), %ut met$od '%can only %e used /it$ Stratey ). Current opinion enerally fa0ours Stratey ), as confirmed %y recent discussions in EC7 E0olution roup +, for t/o main reasons. 'a- It is feared t$at applyin factors in earlier staes mi$t $a0e
;. 'he 8wrong9 !ailure mechanismA common o%ection to #9S computations, particularly to met$od '%-, is t$at /it$ factored strent$s t$ey i0e t$e =/ron> failure mec$anism. In fact, t$ere is no =correct> failure mec$anism, %ecause failure is not t$e =correct> state to occur. )*
Keynote lecture Eurocode 7 – fundamental issues and some implications for users %%% St rateg& 1 %% % Comp#te #sing factored strengt$ 0actor material strengths
%%% %%% %%% %% %%% Str at eg & 2 %%% %%% %%% %% %%% %% Comp#te #sing c$aracteristic parameters
Comp#te #sing factored parameters
4nitial state
4nitial state7 8ould be critical for 3all bendin g moment
Ecavate to 5m 3all cantilevering
Ecavate to 5m 3all cantilevering
4nstall &ro& at m de&th
4nstall &ro& at m de&th
Ecavate to 1*m
Ecavate to 1*m
for 3all length, bendin g moment and &ro& force
.o further factors on strut forces or #s
6&&l" factors on strut forces or #s
.o further factors on strut forces or #s
and ϕ= it is reasona%le to taDe t$is as t$e factor on drained strent$, $o/e0er deri0ed. But more interpretation mi$t %e needed if t$e national anne: i0es t/o different 0alues. In any e0ent, it /ill %e important to asD /$et$er t$e strent$s calculated %y t$e model are more or less relia%le t$an t$ose used in normal practice. Some adustment to t$e factors s$ould %e made in t$e li$t of t$is.
8ould be critical
;.7 Undrained behaiour and consolidation Soils are essentially effecti0e stress materials respondin to effecti0e stresses, so ad0anced models of soil %e$a0iour are almost al/ays e:pressed in terms of effecti0e stress parameters. M$en soil deforms slo/ly enou$ t$at t$e deformation does not cause c$ane of /ater pressure, it is said to %e =drained>. M$en it deforms ;uicDly enou$ t$at no /ater can enter or lea0e t$e soil elements it is said to %e =undrained>. T$e undrained s$ear strent$ of soil, cu, can %e measured, and t$is results from its initial state and its effecti0e stress parameters 'e c=, ϕ=-.
/igure 3. Strategies !or analysis o! staged construction.
eit$er an unreasona%le or an optimistic effect on later staes< t$e aut$or supports t$is reasonin. '%- In some cases t$e #9S computations can %e run as aduncts to S9S computations< $o/e0er, t$is /ill not %e t$e case if desin situations for t$e t/o limit states re;uire differences of eometry 'suc$ as unplanned o0erdi-, loadin or /ater
Effecti0e stress parameters 'e c=, ϕ=- are sometimes called =drained> parameters. T$is is un$elpful terminoloy, since t$ese parameters o0ern %e$a0iour and can %e used in models or drained, undrained and partially drained states. Relia%le computation of undrained strent$ from effecti0e stress parameters is 0ery difficult, since it is affected %y many features of soil %e$a0iour, includin anisotropy and dilation. Because undrained strent$ can %e measured directly, /it$ moderate relia%ility, it is often prefera%le to input it directly as a parameter in numerical analysis t$an to try to compute it. 3o/e0er, t$is is not compati%le /it$ t$e use of effecti0e stress models. EC7 enerally re;uires a $i$er factor on undrained strent$ 'e 1.+ on cu- t$an on effecti0e stress parameters 'e 1.) on c=, tanϕ=-. T$e drafters assumed t$at effecti0e stress parameters /ould %e used only for drained states and did not comment on t$e use of approac$es t$at computed undrained strent$ for t$em. In numerical analysis, t$ere is t$erefore a temptation, for economy,
pressures. A t$ird possi%le reason is t$at only Stratey ) can %e run /it$ met$od '%-, suc$ as t$e &la:is cϕ reduction procedure.
;.; Use o! adanced soil models !or U&S 8odels of soil %e$a0iour muc$ more realistic t$an linear elastic8o$rCoulom% are increasinly used for S9S computations. Alt$ou$ some of t$ese, suc$ as t$e &la:is $ardenin soil models, $a0e simple strent$ parameters 'c=, ϕ=- as input, many do not 'e Camclay models or t$e BRICK model, Ellison et al )*1)-. &ractice to date $as %een to use only elastic8o$rCoulom% models for t$e #9S part of t$e computation, e0en /as an adunct to an S9S run t$at/$en usedt$is a more ad0anced model. EC7 pro0ides factors specifically for c=, ϕ= and cu, so if t$ese are not input parameters of t$e proram some deree of interpretation /ill %e needed. In t$e case of cu, t$is is t$e 'rele0ant- undrained strent$, so it /ould not matter $o/ t$is /as deri0ed. If t$e national anne: i0es t$e same 0alue for factors on c= )1
Keynote lecture Eurocode 7 – fundamental issues and some implications for users to use an effecti0e stress model for undrained %e$a0iour /it$ a lo/er factor 'e 1.) on c=, tanϕ=- t$an /ould %e used if undrained strent$ /ere input directly 'e 1.+ on cu-. T$e aut$or considers t$is to %e potentially unsafe. T$e $i$er factor 'e 1.+- /as considered appropriate for c$aracteristic 0alues of cu %ased on measurement, /$ic$ is enerally more relia%le t$an 0alues computed from effecti0e stress parameters, so it is unreasona%le to adopt a lo/er 0alue for t$e latter. T$e conclusion to %e dra/n from t$is is t$at /$en undrained %e$a0iour is %ein modelled usin effecti0e stress parameters 'e c=, ϕ=- t$e partial factor applied to t$em s$ould i0e a reduction in undrained strent$ at least e;ui0alent to t$at re;uired %y EC7 for cu. T$is re;uires some testin, %ut as a first appro:imation t$e factor to %e applied to c=, tanϕ= mi$t %e a%out t$e same as t$at re;uired for cu 'e 1.+-. If timedependent consolidation is to %e modelled in a #9S numerical analysis, it /ill aain %e necessary to use an effecti0e stress model. T$e 0alues of partial factors to %e
and )7 to @)m deep to underside of %ase sla% '6i. ))-. T$e assumed e:ca0ation temporary /orDs consisted of t$ree le0els of temporary steel props. Mall t$icDness re;uired %y initial desin /as 1.)m. T$is /as su%se;uently increased to 1.m for consistency /it$ ot$er structures on t$e Italian $i$ speed net/orD and to account for a possi%le proloned cessation of /orD at final e:ca0ation stae '3ocom%e et al )**7-.
/igure 33. /lorence station cross section with design "ohr0oulomb soil parameters and stratigraphy.
Eurocode 7, "esin Approac$ 1 'EC7, "A1- /as adopted %y t$e desin team.
applied $a0e not yet %een considered.
"esin of t$e structure to Com%inations 1 and ) 'C1 and C)- /as more onerous t$an reulations applyin at t$e time in Italy. T$e current Italian national standard specifies desin of retainin structures and t$eir supports to C1 only /$ile C) is c$ecDed for lo%al failure due to collapse of t$e soil, not of t$e structure. It /as, $o/e0er, considered prudent for t$is proect t$at t$e structure %e c$ecDed for %ot$ com%inations in accordance /it$ EC7 "A1. T$e decision to use EC7 "A1 did not, $o/e0er, increase t$e num%er of analyses to %e carried out since C) /as needed in any e0ent to e0aluate t$e dept$ of em%edded /alls for lateral sta%ility.
7 CASE ST#"2 69!RECE 3I3 S&EE" RAI9 STATI!
7. ntroduction T$e analysis of a lare station %o: in 6lorence, Italy, desined to Eurocode is descri%ed %y Simpson and 3ocom%e ')*1*-, from /$ic$ t$e follo/in a%%re0iated 0ersion is dra/n. T$is case study presents salient features of t$e desin and t$e met$od adopted. &artial factors /ere applied to soil properties at all staes of e:ca0ation in t$e #9S analyses. Results are presented $ere of a su%se;uent comparati0e study into t$e effects of applyin partial material factors only at specific e:ca0ation staes. T$e proposed station lies on a $i$ speed rail line currently nearin completion %et/een 8ilan and aples and is situated ust nort$ of t$e $istoric centre of 6lorence. T$e Client for t$e station is Rete 6erro0iaria Italiana 'R6I- /it$ construction sc$eduled for )*1*. T$e structure is ++m lon, )m /ide
7.3 E!!ect o! !actoring at discrete stages In EC7 "A1, application of partial factors to soil properties is re;uired in #9S C), and t$ese factors /ere applied at all construction staes in t$e oriinal desin. Su%se;uently, an in0estiation /as carried out into t$e effects of applyin partial material factors only at specific e:ca0ation ))
Keynote lecture Eurocode 7 – fundamental issues and some implications for users staes rat$er t$an at all staes. T$e results of t$ese C) analyses '/it$ factored soil %ut unfactored /all moments and s$ears- are also compared /it$ t$e results of C1 analyses 'unfactored soil, factored /all moments and s$ears-. T$e in0estiation considered t$ree propped e:ca0ation staes %ased on a 1.)m t$icD diap$ram /all, applyin t$e c$aracteristic 8o$rCoulom% soil parameters presented in 6iure )) in t$e pseudo finite element proram Oasys 6REM '&appin et al., 1(-. Bendin moments deri0ed usin 6REM are presented in 6iure )@. T$e #9S C1 results $a0e %een factored up %y t$e specified partial factor of 1.@ for comparison /it$ t$ose from #9S C). 8a:imum positi0e /all moments 'tension on e:ca0ated face- are marinally $i$er from C1 compared to t$ose from C) in /$ic$ partial factors are applied at all staes, t$e solid lines in t$e fiure. eati0e /all moments are, $o/e0er, reater in C) at t$e middle prop le0el 'U@1m-. T$is may %e a result of lo/er marin on lateral sta%ility and $i$er /all deflection durin t$e deeper
/igure 32. U&S wall bending moments
/igure 3. U&S prop !orces.
In t$e C) analyses /it$ soil strent$ factors only at discrete staes t$e desin prop forces are similar at t$e upper t/o le0els of props to t$ose from C) analysis /it$ partial factors at all staes. In t$e lo/est le0el of props, $o/e0er, t$e force is sinificantly reater if partial factors are applied only at t$is stae, possi%ly due to t$e effects of soil arc$in mentioned a%o0e.
staes of e:ca0ation C) compared to C1. Applyin partial in factors on soil strent$s in C) only at t$e respecti0e e:ca0ation staes a0e similar /all moments in staes 1 and ) to t$e C) analysis /it$ factors applied at all staes. Application of partial factors only at e:ca0ation stae @, $o/e0er, resulted in larer neati0e /all moments at t$e lo/est temporary prop, /it$ reater /all deflection t$an t$e analysis /it$ partial factors at all staes. Inspection of predicted soil pressures suests t$at /it$ partial factors applied durin staes 1 and ) more soil arc$in onto t$e $i$er props occurs, allo/in reater reduction of soil pressure %elo/ t$e acti0e limit t$an /$en partial factors are applied
7.2 0onclusions !rom case study 6or t$is particular study, t$e results o%tained /$en partial factors /ere applied at discrete staes /ere more se0ere t$an /$en t$ey /ere applied t$rou$out t$e computation. 8ore studies of t$is type are needed to determine /$et$er t$is is a eneral rule. In t$e opinion of t$e aut$or, $o/e0er, %ot$ types of analysis are 0alid c$ecDs on t$e code re;uirements. In a more
only in stae @. Results of t$e comparison in desin prop forces usin 6REM are presented in 6iure )+. T$e #9S C1 results $a0e aain %een factored up %y t$e specified partial factor of 1.@ for comparison /it$ #9S C). T$e C) forces /it$ factored soil strent$ at all staes are $i$er at t$e lo/er t/o le0els t$an t$ose from C1.
complete #9S analysis, %endin of t$e /all could %e included, and plasticity t$is /ould pro%a%ly i0e more similar %endin moments from t$e t/o C) analyses. T$e same may not %e true for t$e strut loads, $o/e0er, and since struts may pro0ide a some/$at %rittle response t$is remains an area to %e in0estiated.
)@
Keynote lecture Eurocode 7 – fundamental issues and some implications for users E1((*. ')**)- Eurocode2 Basis of desin. BSI, 9ondon. 'BS E 1((*2)**)-. E1((71 ')**+=EC7>. Eurocode72 eotec$nical desin &art 12 eneral rules. BSI, 9ondon. 'BS E 1((712)**+-. BSI ')**7- Eurocode 7 eotec$nical desin &art )2 round in0estiation and testin. BSI, 9ondon 'BS E 1((7)2)**7-. 6oye, K.C. Salado, R. V Scott, B. )**. Resistance factors for use in s$allo/ foundation 9R6". W. eotec$. eoen0iron. En., 1@)'(-, 1)*– 1)1. ul0anessian, 3, Calaro, WA, 3olicDy, 8
C!C9#"I RE8ARKS T$e paper $as discussed some of t$e current de%ates related to application of Eurocode 7, pro0idin tentati0e conclusions /$ere a0aila%le. 6or determination of c$aracteristic 0alues of material properties and of /ater pressures, some possi%le processes $a0e %een proposed, %ut t$e need to e:ploit enineerin insi$t and e:pertise $as also %een emp$asised. T$is is a
')**)- "esinersY uide to E 1((* Eurocode2 Basis of structural desin. T$omas Telford. 3ocom%e, T., &elle/, A., 8cBain, R., and eo/, 3C. ')**7- ="esin of a ne/ deep underround station structure in 6lorence.> &roc. ZI ECS8E, 8adrid, ol ), pp 1*+( – 1*+. &appin, W.M., Simpson, B., 6elton, &.W., and Raison, C. '1(- =umerical analysis of fle:i%le retainin /alls.> Symposium on computer applications in eotec$nical enineerin. T$e 8idland eotec$nical Society, #K, April. Sc$neider, 3. R. 1((7. "efinition and determination of c$aracteristic soil properties. Contri%ution to "iscussion Session ).@, ZI ICS86E, 3am%ur. BalDema. Sc$uppener B., Simpson B., !rr T. 9. 9., 6ranD R. and Bond A. W. ')**(-. 9oss of static e;uili%rium of a structure – definition and 0erification of limit state EO#. &roc )nd International Symposium on eotec$nical Safety and RisD ISI6# )**(, ifu, Wapan, 'editors2 . 3ono, 8. SuGuDi, T. 3ara V 6. [$an, Taylor V 6rancis roup, 9ondon- 111) Wune, pp 111 11. Simpson, B and 3ocom%e, T ')*1*- Implications of modern desin codes for eart$ retainin structures. &roc ER)*1*, ASCE Eart$ Retention Conference @, pp.7*@, Seattle, Au )*1*. Simpson, B, ot, V 0an Seters AW ')*11eotec$nical safety in relation to /ater pressures. &roc @rd Int Symp on eotec$nical Safety and RisD, pp *117, 8unic$. Simpson, B and aGdc$i, 8 ')**@- #se of finite element met$ods in eotec$nical limit state desin. 9S")**@2 International MorDs$op on 9imit State "esin in eotec$nical Enineerin &ractice.
particular c$allene for code drafters. &ro%lems affected %y t$e loadin of /ater pressure, or /it$ t$e %alanced loads from a sinle source considered %y EO#, re;uire 0ery careful assessment of safety. It $as %een suested t$at EO# s$ould %e rearded as =ust anot$er load case> rat$er t$an a different limit state. T$e use of numerical analysis is e:pected to %ecome increasinly common in eotec$nical desin, so it is important t$at modern codes accommodate t$is. Current discussions $a0e %een summarised and approac$es for analysin ultimate limit states $a0e %een presented. ( RE6ERECES Bauduin, C, "e os, 8 V Simpson, B ')***-. Some Considerations on t$e #se of 6inite Element 8et$ods in #ltimate 9imit State "esin. 9S")***2 Int. MorDs$op on 9imit State "esin in eotec$nical Enineerin, ISS8E, TC)@, 8el%ourne. BecDer, ".E. 1((. Ei$teent$ Canadian eotec$nical Collo;uium2 9imit states desin of foundations. I2 An o0er0ie/ of t$e foundation desin process. Canadian eotec$ W, @@'-, ((@. K C$eun, K Mest, 3 C eo/ V B Simpson ')**(- "o Eurocodes maDe a difference eotec$nics and Tunnellin, ol @, o. 1, pp@+7. Miley Interscience. . 'Report on Special MorDs$op on Conse;uences of Eurocode 7 on t$e desin of tunnels, Austrian Society for eomec$anics, SalG%ur, Austria."a$l%er, R and Ronold, K! '1((@- 9imit state desin of offs$ore foundations. &roc Int Symp 9imit state desin in eotec$nical enineerin, ol ), pp+(1**. "anis$ eotec$nical Society. "a$l%er, R and Ronold, K! '1((@- 9imit state desin of offs$ore foundations. &roc Int Symp 9imit state desin in eotec$nical enineerin, ol ), pp+(1**. "anis$ eotec$nical Society. Ellison, KC, Soa, K and Simpson, B ')*1)- A strain space soil model /it$ e0ol0in stiffness anisotropy. Xotec$ni;ue, in press.
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