Introduction to EC7 CE 640/646– Foundation Engineering Dr. M. C. M. Nasvi 1 At the end of this session, you should be able to: Understand the content of EC7 Differentiate between traditional and EC7 methods List Five ULS of EC7 Define the differences between different design approaches. 2 Outline of the Lecture o EC7 Background o Relevant Eurocodes for Geotechnical Design o Contents of EC7 o Geotechnical Risk o Design values of Action & Resistance o EC7 Limit States o ULS o SLS 3 ‘The Eurocodes will become the Europe wide means of designing Civil and Structural engineering works and so ... they are of vital importance to both the design and Construction sectors of the Civil and Building Industries.’ 4 1. EC7 Background In 1975, Commission of the European Community decided an action program on the field of construction. Aim: to eliminate technical obstacles and harmonize technical standards among European countries. 5 Harmonization of the Civil Engineering standards would • Provide a common language between the European Engineers • Enhance competitiveness of European companies in world market • Facilitate the exchange of Engineering services and products 6 For fifteen years, commission, with the help of steering committee, conducted development of Eurocodes programme, which lead to first generation of European codes in 1980s. By 2010, all the Eurocodes have been published and these are now used in all the member states. 7 These set of harmonized technical rules are known as Structural Eurocodes which comprise of a series of 10 European Standards, EN 1990 – EN 1999 (EC0 – EC9). Standards within the Structural Eurocodes programme 8 EN1990 Eurocode (EC0) - Basis of structural design EN1991 Eurocode 1 (EC1) – Action on structures EN1992 Eurocode 2 (EC2) – Design of concrete structures EN1993 Eurocode 3 (EC3) – Design of steel structures EN1994 Eurocode 4 (EC4) – Design of composite steel and concrete structures EN1995 Eurocode 5 (EC5) – Design of timber structures EN1996 Eurocode 6 (EC6) – Design of masonry structures EN1997 Eurocode 7 (EC7) – Geotechnical Design EN1998 Eurocode 8 (EC8) – Design of structures for earthquake resistance EN1999 Eurocode 9 (EC9) – Design of aluminium structures Eurocode 7 (EN 1997) - concerns geotechnical design. 9 2. Relevant Eurocodes for geotechnical design Standard and Title Description Describes the basis of geotechnical design and the derivation of geotechnical 1] BS EN 1997-1: parameters. 2004 Eurocode 7- Geotechnical Sections include: spread and pile Design: Part 1: foundations, anchorages, retaining General rules structures, embankments, hydraulic failure and overall stability. 10 Standard and Title 2] BS EN 1997-2: 2007 Eurocode 7Geotechnical Design: Part 2: Geotechnical investigation and testing 3] NA to BS 1997-1: 2004 National Annex Eurocode Geotechnical Design: Part General rules Description Describes planning investigations, groundwater soil & of ground rock sampling, measurements, field & laboratory tests in soil and rock, and requirements of Ground Investigation Report. EN Each country has its own National Annex UK for each Eurocode but they may only contain to information on those parameters which are left 7open in the Eurocodes for national choice, 1: known as Parameters. Nationally Determined 11 12 National annex (NA): NA is needed as a link between the Eurocode & national standards of the member states. Eurocode states recommended values of partial factors and actual values may be set by the countries in their NA. However, a national annex can change or modify the content of a Eurocode only where it is indicated that national choices may be made. 13 3. Contents of EC7 EN 1997-1 Geotechnical design Part 1: General rules (CEN, 2004) • • • • • • • • • • • • Section 1 - General Section 2 - Basis of geotechnical design Section 3 - Geotechnical data Section 4 - Supervision of construction, monitoring and maintenance Section 5 - Fill, dewatering, ground improvement and reinforcement Section 6 - Spread foundations Section 7 - Pile foundations Section 8 - Anchorages Section 9 - Retaining structures Section 10 - Hydraulic failure Section 11 - Site stability Section 12 - Embankments Informative annexes (A-J) on active & passive earth pressures, bearing capacity and settlement of foundations 14 Contents of EC7 – Part 1 15 EN 1997-2 Geotechnical design Part 2: Ground investigation and testing (CEN, 2007) • Section 1 - General • Section 2 - Planning and reporting of ground investigations • Section 3 - Drilling, sampling and groundwater measurements • Section 4 - Field tests in soils and rocks • Section 5 - Laboratory tests on soils and rocks • Section 6 - Ground investigation report +Informative annexes 16 Contents of EC7 – Part 2 17 18 19 4. Geotechnical Risk A welcome requirement of Eurocode 7 is the mandatory assessment of risk for all design situations. ... the complexity of each geotechnical design shall be identified together with the associated risks ... a distinction shall be made between light and simple structures and small earthworks ... with negligible risk [and] other geotechnical structures. [EN 1997-1 §2.1(8)P] 20 When negligible risk is involved, design may be based on past experience and qualitative geotechnical investigations. In all other cases, quantitative investigations are required. 21 Geotechnical Category Description GC1 Small and relatively simple structures - it is possible to ensure that fundamental requirements are satisfied on the basis of experience & qualitative geotechnical investigations with negligible risk. GC2 Ex: straightforward ground conditions, local experience, no excavation below the GWT, etc. Conventional types of structure and foundation; No difficult soil or loading conditions; Quantitative geotechnical data and analysis required; Routine procedures for field and laboratory testing; No exceptional risk Ex: spread, raft and pile foundations, retaining walls, bridge piers and abutments, embankments, ground 22 anchors, tunnels and excavations. Geotechnical Description Category Those structures not in Categories 1 and 2; Very large or unusual structures, Difficult ground or loading conditions; Abnormal risks; Highly seismic GC3 areas; Areas of ground instability Ex: Mining, solution, collapsible soils, frost action, etc. 23 It is not necessary to classify all parts of a project in one Geotechnical Category. 24 Magnitude & scope of geotechnical investigations must reflect the structure’s Geotechnical Category. Since ground conditions may influence category chosen for the structure or parts of it, they should be established early on in the investigation (through a desk study or preliminary field work). [EN 1997-1 §3.2.1(2)P and 3.2.1(4)] 25 5. Design values of action & resistance An action - ‘(a) Set of forces (loads) applied to the structure (direct actions); (b) Set of imposed deformations or accelerations caused, for example, by temperature changes, moisture variation, uneven settlement or earthquakes (indirect actions)’ A geotechnical action - an ‘action transmitted to the structure by the ground, fill, standing water or ground-water’ 26 A resistance - ‘capacity of a member or component to withstand actions without mechanical failure’ An action effect - general term denoting internal forces, moments, stresses, and strains in structural members - plus the deflection and rotation of the whole structure. [EN 1990 §1.5.3.2] 27 A structure subjected to permanent, variable and accidental actions 28 An action and effect of action Presence of the load (an action) results in beam deflecting and internal stresses occurring in its cross-section (effects of the action). 29 Actions Effect of Actions 30 Traditional Approach (BS) vs. EC7 In contract to traditional lumped factor of safety (FOS) approach (BS 8004), EC7 promotes the use of Partial Factor of Safety. In the traditional methods, material properties & loads were treated in an unmodified state and a FOS was applied at the end of the design process. 31 However, EC7 guides the designer to modify each parameter early in the design by use of the partial factor of safety. Representative or characteristic values of the parameter (load, soil strength parameters) is converted to design value by combining it with the partial factor of safety for that parameter. 32 Design value of action (Fd) or Effect of action (Ed) 𝑫𝒆𝒔𝒊𝒈𝒏 𝒂𝒄𝒕𝒊𝒐𝒏 𝑭𝒅 = 𝑹𝒆𝒑𝒓𝒆𝒔𝒆𝒏𝒕𝒂𝒕𝒊𝒗𝒆 𝒂𝒄𝒕𝒊𝒐𝒏 𝑭𝒓𝒆𝒑 × 𝑷𝒂𝒓𝒕𝒊𝒂𝒍𝒇𝒂𝒄𝒕𝒐𝒓 𝒐𝒇 𝒔𝒂𝒇𝒆𝒕𝒚 (𝜸𝑭 ) 𝑫𝒆𝒔𝒊𝒈𝒏 𝒆𝒇𝒇𝒆𝒄𝒕 𝒐𝒇 𝒂𝒄𝒕𝒊𝒐𝒏𝒔 𝒇𝒂𝒄𝒕𝒐𝒓𝒆𝒅 𝒓𝒆𝒑𝒓𝒆𝒔𝒆𝒏𝒕𝒂𝒕𝒊𝒗𝒆 𝒂𝒄𝒕𝒊𝒐𝒏𝒔; = 𝑬𝒇𝒇𝒆𝒄𝒕 𝒐𝒇 𝒇𝒂𝒄𝒕𝒐𝒓𝒆𝒅 𝒈𝒆𝒐𝒕𝒆𝒄𝒉𝒏𝒊𝒄𝒂𝒍 𝒑𝒂𝒓𝒂𝒎𝒆𝒕𝒆𝒓𝒔; 𝒈𝒆𝒐𝒎𝒆𝒕𝒓𝒊𝒄𝒂𝒍 𝒅𝒂𝒕𝒂 𝑬𝒅 = 𝑬 𝜸𝑭 𝑭𝒓𝒆𝒑 ; 𝑿𝒌 𝜸𝑴 ; 𝒂𝒅 Frep - representative value of an action; 𝒂𝒅 - design value of geometrical data. 33 34 Design value of Geotechnical parameters (Xd) Design value of geotechnical parameters (Xd) (cohesion, friction angle, etc.) is derived by dividing the characteristics values (Xk) by the appropriate partial factor of safety, γM 𝑿𝒌 𝑿𝒅 = 𝜸𝒎 Ex-) 35 Example -01] Determine the design values of the following characteristic soil strength properties, using the partial factors of safety provided: cuk = 40 kPa; ck =5 kPa; φk = 27°. γcu =1.4; γc' =1.25; γφ' =1.25. Solution: 𝒄𝒖𝒅 = 𝒄′𝒅 ∅′𝒅 𝟒𝟎 𝜸𝒄𝒖 = 𝟒𝟎 𝟏.𝟒 = 𝟓 𝜸 𝒄′ = 𝒕𝒂𝒏 ∅′ −𝟏 𝒕𝒂𝒏 𝜸∅′ = 𝟓 𝟏.𝟐𝟓 = 𝟐𝟖. 𝟓 𝒌𝑷𝒂 = 𝟒 𝒌𝑷𝒂 = 𝒕𝒂𝒏−𝟏 𝒕𝒂𝒏 𝟐𝟕° 𝟏.𝟐𝟓 = 𝟐𝟐. 𝟐° 36 Design value of resistance (Rd) Resistance (R) is derived from the design values of actions and ground parameters. To determine design resistance (Rd), partial factors may be applied to ground properties (X) or resistance (R) or to both. Using ground properties; Using resistances; Using both 𝑹𝒅 = 𝑹 𝜸𝑭 𝑭𝒓𝒆𝒑 ; 𝑿𝒌 𝜸𝑴 ; 𝒂𝒅 𝑹𝒅 = 𝑹 𝜸𝑭 𝑭𝒓𝒆𝒑 ; 𝑿𝒌 ; 𝒂𝒅 𝜸𝑹 𝑹𝒅 = 𝑹 𝜸𝑭 𝑭𝒓𝒆𝒑 ; 𝑿𝒌 𝜸𝑴 ; 𝒂𝒅 𝜸𝑹 37 38 Over design factor (߁) For ultimate limit state (ULS), effects of the design actions (Ed) do not exceed the design resistance (Rd) of the structure or ground (𝑬𝒅 ≤ 𝑹𝒅 ). Ratio of resistances to action is termed as over- design factor (𝝉). 𝑶𝒗𝒆𝒓 𝒅𝒆𝒔𝒊𝒈𝒏 𝒇𝒂𝒄𝒕𝒐𝒓 ߁ = 𝑫𝒆𝒔𝒊𝒈𝒏 𝒓𝒆𝒔𝒊𝒕𝒂𝒏𝒄𝒆 (𝑹𝒅 ) 𝑫𝒆𝒔𝒊𝒈𝒏 𝒂𝒄𝒕𝒊𝒐𝒏𝒔 (𝑬𝒅 ) 𝑭𝒐𝒓 𝒂 𝒔𝒂𝒕𝒊𝒔𝒇𝒂𝒄𝒕𝒐𝒓𝒚 𝒅𝒆𝒔𝒊𝒈𝒏, ߁ ≥ 𝟏 𝑬𝒅 𝑼𝒕𝒊𝒍𝒊𝒛𝒂𝒕𝒊𝒐𝒏 𝑭𝒂𝒄𝒕𝒐𝒓 (𝜦𝑮𝑬𝑶 ) = ≤ 𝟏𝟎𝟎% 𝑹𝒅 39 6. EC7 Limit states For each geotechnical design situation it shall be verified that no relevant limit state is exceeded Limit states - states beyond which the structure no longer satisfies the relevant design criteria. Section 2 of EN 1997-1 describes basis of geotechnical design & code states that limit states should be verified by one of four means: (1) calculation (2) prescriptive measures (3) experimental models and load tests, (4) an observational method. 40 Processes involved in geotechnical design by calculation 41 6.1 Ultimate Limit States (ULS) EC7 lists five Ultimate limit states to be considered in the design process: 1. EQU 2. GEO 3. STR 4. UPL 5. HYD 42 1. EQU limit state loss of equilibrium of the structure or the supporting ground when considered as a rigid body & where internal strengths of structure & ground do not provide resistance. This limit state is mostly relevant to structural design. This limit state is satisfied if sum of design values of effect of destabilizing actions (Edstb; d) is less than or equal to sum of design values of effect of stabilizing actions (Estb; d) 𝑬𝒅𝒔𝒕𝒃;𝒅 ≤ 𝑬𝒔𝒕𝒃; 𝒅. 43 Verification of EQU limit state 44 2. GEO limit state Failure or excessive deformation of the ground, where the soil or rock is significant in providing resistance. This limit state is satisfied if the design actions (Ed) is less than or equal to the design resistance (Rd), i.e. - 𝑬𝒅 ≤ 𝑹𝒅. 45 3. STR limit state STR – failure or excessive deformation of the structure, where strength of structural material is significant in providing resistance. As with GEO limit state, STR is satisfied if the design actions (Ed) is less than or equal to the design resistance (Rd), i.e. - 𝐸𝑑 ≤ 𝑅𝑑 . 46 4. UPL limit state loss of equilibrium of the structure or the ground due to uplift by water pressure (buoyancy) or other vertical actions. 5. HYD limit state Hydraulic heave, internal erosion and piping in the ground caused by hydraulic gradient (i.e. - at the base of a braced excavation). 47 Limit states for earth retaining structures 48 UPL Limit State HYD Limit State 49 Design Approaches (for GEO and STR limit states) EC7 permits the adoption of three design approaches: Design Approach 1 Design Approach 2 Design Approach 3. The three design approaches differ in the way in which they distribute the partial factors. 50 Design Approach 1: Combination 1: A1 + M1 + R1 Combination 2: A2 + M2 + R1 Design Approach 2: A1 + M1 + R2 Design Approach 3: A* + M2 + R3 (Note: A*: use set A1 on structural actions and A2 on geotechnical actions; A - Actions, M - Material properties and R - Resistance) 51 Partial factors set for EQU, GEO and STR limit states 52 Examples of favorable and unfavourable actions 53 Design Approach 1 (DA 1) DA 1 - most likely method to be adopted in most of the design situations. For DA 1, two combinations are available & designer would normally check the limit state using each combination. Partial factors for design approach 1 The limit state of rupture All design situations or excessive deformation except axially loaded will not occur with either piles and anchors of these combinations Combination 1 A1 + M1 + R1 Combination 2 A2 + M2 + R1 Design situations for axially loaded piles and anchors A1 + M1 + R1 A2 + (M1 or M2) + R4 54 Partial factors for DA1 Geotechnical Parameter Partial factors1 on actions (γF) or effect of actions (γE) Partial factors on soil parameters (γM) Permanent Symbol Unfavourable2 Favourable3 Unfavourable Variable Favourable Angle of shearing resistance4 Effective cohesion Undrained shear strength Unconfined strength Weight density Bearing Partial resistance factors (γR) for Sliding spread foundations γG Combination 1 1.35 A1 γQ γφ' γc' γcu γqu γγ M1 γRv γRh Combination 2 1.0 1.5 0 1.0 1.0 1.0 1.0 1.0 1.0 A2 M2 1.0 R1 1.0 1.0 1.3 0 1.25 1.25 1.4 1.4 1.0 1.0 R1 1.0 Combination 1 - provide safe design against unfavourable deviations of the actions from their characteristics values. the ground strength properties from their characteristics values 55 Combination 2 - provide safe design against unfavourable deviations of DA 1: introduction of partial factors in the checking of ground bearing capacity: (a) Combination 1 and (b) Combination 2. A M Combination 1 Combination 2 56 R Design Approach 2 (DA 2): A1 + M1 + R2 Design Approach 2 is to check foundation’s reliability by applying partial factors to actions or action effects and to resistance simultaneously, while ground strengths are left unfactored. In DA 2 only one verification (A1 + M1 + R2) is ever required. 57 Design Approach 3 (DA 3): A* + M2 + R3 Aim is to check the foundation’s reliability by applying partial factors to structural actions (A1) and to material properties simultaneously, while geotechnical actions (A2) and resistance are left mainly unfactored. Similar to DA 2, only one verification (A* + M2 + R3) is required for DA 3. In DA 3, the entire calculation is performed with the design values of the actions and the design shear strength parameters. 58 NOTE: An important feature of DA3 is the distinction between structural and geotechnical actions — larger factors are applied to the former than to the latter, suggesting greater uncertainty in their values. 59 Example-2] A concrete foundation is to be cast into a soil deposit as shown in Figure Ex2 below. The foundation has a representative self weight, W of 50 kN. During a check for bearing resistance, the vertical representative actions VG;k and VQ;k are considered as unfavourable. Determine the design values of each action, for each Design Approach. Figure Ex2 60 61 Example-3] The ground beneath the foundation shown in Figure Ex-2 above has the following characteristic values: cuk = 40 kPa; ck = 5 kPa; φk = 25°. Determine the design values of each property, for each Design Approach. 62 63 6.2 Serviceability Limit States (SLS) For SLS, the effects of the design actions (Ed) do not exceed the performance criteria (Cd) of the structure. 𝑬𝒅 ≤ 𝑪𝒅. Effect of the design actions attempting to exceed the limit state include deformation, settlement, deflection, ground heave, vibration, etc. Values of partial factors for SLS should normally be takes as 1.0. 64 ENJOY LIFE WITH EUROCODE 65