EUROCODE 2: Design of concrete structures
Part 1: General rules and rules buildings
1. |
General |
1.1 |
Scope |
1.1.1 |
Scope of Eurocode 2 |
1.1.2 |
Scope of Part 1 of Eurocode 2 |
1.2 |
Normative references |
1.2.1 |
General reference standards |
1.2.2 |
Other references |
1.3 |
Assumptions |
1.4 |
Distinction between principles and application rules Definitions |
1.5.1 |
General |
1.5.2 |
Additional terms used in this Standard |
1.5.2.1 |
Precast structures |
1.5.2.2 |
Plain or lightly reinforced concrete member |
1.5.2.3 |
Unbonded and external tendons |
1.5.2.4 |
Prestress |
1.6 |
Special symbols used in this Standard |
1.6.1 |
General |
1.6.2 |
Latin upper case symbols |
1.6.3 |
Latin lower case symbols |
1.6.4 |
Greek symbols |
2. |
Basis of design |
2.1 |
Requirements |
2.1.1 |
Basic requirements |
2.1.2 |
Reliability management |
2.1.3 |
Design working life, durability and quality management |
2.2 |
Principles of limit state design |
2.3 |
Basic variables |
2.3.1 |
Actions and environment influences |
2.3.1.1 |
Prestress |
2.3.2 |
Material and product properties |
2.3.2.1 |
Shrinkage and creep |
2.3.3 |
Geometric data |
2.3.3.1 |
Supplementary requirements for cast in piace piles |
2.4 |
Verification by the partial factor method |
2.4.1 |
Design values |
2.4.1.1 |
Partial factors for shrinkage action |
2.4.1.2 |
Partial factors for prestress |
2.4.1.3 |
Partial factors for fatigue loads |
2.4.1.4 |
Partial factors for materials |
2.4.1.5 |
Partial factors for materials for foundations |
2.4.2 |
Combination of actions |
2.4.3 |
Verification of static equilibrium (EQU) |
2.5 |
Design assisted by testing |
2.6 |
Supplementary requirements for foundations |
3. |
Materials |
3.1 |
Concrete |
3.1.3 |
General |
3.1.2 |
Strength |
3.1.3 |
Elastic deformation |
3.1.4 |
Creep and shrinkage |
3.1.5 |
Stress-strain relation for non-linear structural analysis |
3.1.6 |
Design compressive and tensile strengths |
3.1.7 |
Stress-strain relations for the design of sections |
3.1.8 |
Flexural tensile strength |
3.1.9 |
Confined concrete |
3.2 |
Reinforcing steel |
3.2.1 |
General |
3.2.2 |
Properties |
3.2.2.1 |
Strength |
3.2.2.2 |
Ductility characteristics |
3.2.2.3 |
Welding |
3.2.2.4 |
Fatigue |
3.2.3 |
Design assumptions |
3.3 |
Prestressing steel |
3.3.1 |
General |
3.3.2 |
Properties |
3.3.2.1 |
Strength |
3.3.2.2 |
Ductility characteristics |
3.3.2.3 |
Fatigue |
3.3.3 |
Design assumptions |
3.3.4 |
Prestressing tendons in sheaths |
3.4 |
Prestressing devices |
3.4.1 |
Anchorages and couplers |
3.4.1.1 |
General |
3.4.1.2 |
Mechanical properties |
3.4.1.2.1 |
Anchored tendons |
3.4.1.2.2 |
Anchored devices and anchorage zones |
3.4.2 |
External non-bonded tendons |
3.4.2.1 |
General |
3.4.2.2 |
Anchorages |
4. |
Durability and cover to reinforcement |
4.1 |
General |
4.2 |
Environmental conditions |
4.3 |
Requirements for durability |
4.4 |
Verifications |
4.4.1 |
Concrete cover |
4.4.1.1 |
General |
4.4.1.2 |
Minimum cover, Cmin |
4.4.1.3 |
Allowance in design for tolerance |
4.4.2 |
Other verification methods |
5. |
Structural analysis |
5.1 |
General provisions |
5.1.1 |
Special requirements for foundations |
5.1.2 |
Load cases and combinations |
5.1.3 |
Imperfections |
5.1.4 |
Second order effects |
5.1.5 |
Deformations of concrete |
5.1.6 |
Thermal effects |
5.1.7 |
Uneven settlements |
5.2 |
Geometric imperfections |
5.3 |
Idealisation of the structure |
5.3.1 |
Structural models for overall analysis |
5.3.2 |
Geometric data |
5.3.2.1 |
Effective width of flanges (all limit states) |
5.3.2.2 |
Effective span of beams and slabs in buildings |
5.4 |
Linear elastic analysis |
5.5 |
Linear analysis with limited redistribution |
5.6 |
Plastic methods of analysis |
5.6.1 |
General |
5.6.2 |
Plastic analysis for beams, frames and slabs |
5.6.3 |
Rotation capacity |
5.6.4 |
Analysis of struts and ties |
5.7 |
Non-linear analysis |
5.8 |
Second order effects with axial load |
5.8.1 |
Definitions |
5.8.2 |
General |
5.8.3 |
Simplified criteria for second order effects |
5.8.3.1 |
Slenderness Criterion for isolated members |
5.8.3.2 |
Slenderness and effective length of isolated members |
5.8.3.3 |
Global second order effects in buildings |
5.8.4 |
Creep |
5.8.5 |
Methods of analysis |
5.8.6 |
General method |
5.8.7 |
Second order analysis based on nominal stiffness |
5.8.7.1 |
General |
5.8.7.2 |
Nominal stiffness |
5.8.7.3 |
Practical methods of analysis |
5.8.8 |
Method based on nominal curvature |
5.8.8.1 |
General |
5.8.8.2 |
Bending moments |
5.8.8.3 |
Curvature |
5.8.9 |
Biaxial bending |
5.9 |
Lateral instability of slender beams |
5.10 |
Prestressed members and structures |
5.10.1 |
General |
5.10.2 |
Prestressing force |
5.10.2.1 |
Maximum stressing force |
5.10.2.2 |
Limitation of concrete stress |
5.10.2.3 |
Measurements |
5.10.3 |
Prestressing force |
5.10.4 |
Losses of prestress |
5.10.4.1 |
Immediate losses of prestress for pre-tensioning |
5.10.5 |
Immediate losses of prestress for post-tensioning |
5.10.5.1 |
Losses due to the instantaneous deformation of concrete |
5.10.5.2 |
Losses due to friction |
5.10.5.3 |
Losses at anchorage |
5.10.6 |
Long term losses of prestress for pre- and post-tensioning |
5.10.7 |
Consideration of prestress in analysis |
5.10.8 |
Effects of prestressing at ultimate limit state |
5.10.9 |
Effects of prestressing at serviceability limit state and limit state of fatigue |
5.11 |
Shear walls |
6. |
Ultimate limit states |
6.1 |
Bending with or without axial force |
6.2 |
Shear |
6.2.1 |
General verification procedure |
6.2.2 |
Members not requiring design shear reinforcement |
6.2.3 |
Members requiring design shear reinforcement |
6.2.4 |
Shear between web and flanges of T-sections |
6.2.5 |
Shear at the interface between concretes cast at different times |
6.3 |
Torsion |
6.3.1 |
General |
6.3.2 |
Design procedure |
6.3.3 |
Warping torsion |
6.4 |
Punching |
6.4.1 |
General |
6.4.2 |
Load distribution and basic control perimeter |
6.4.3 |
Punching shear calculation |
6.4.4 |
Punching shear resistance for slabs or column bases without shear reinforcement |
6.4.5 |
Punching shear resistance of slabs or column bases with shear reinforcement |
6.5 |
Design of struts, tie and nodes |
6.5.1 |
General |
6.5.2 |
Struts |
6.5.3 |
Ties |
6.5.4 |
Nodes |
6.6 |
Anchorages and laps |
6.7 |
Partially loaded areas |
6.8 |
Fatigue |
6.8.1 |
Verification conditions |
6.8.2 |
Internal forces and stresses for fatigue verification |
6.8.3 |
Combination of actions |
6.8.4 |
Verification procedure for reinforcing and prestressing steel |
6.8.5 |
Verification using damage equivalent stress |
6.8.6 |
Other verifications |
6.8.7 |
Verification of concrete using damage equivalent stress |
7. |
Serviceability limit states |
7.1 |
General |
7.2 |
Stresses |
7.3 |
Cracking |
7.3.1 |
General considerations |
7.3.2 |
Minimum reinforcement areas |
7.3.3 |
Control of cracking without direct calculation |
7.3.4 |
Calculation of crack widths |
7.4 |
Deformation |
7.4.1 |
General considerations |
7.4.2 |
Cases where calculations may be omitted |
7.4.3 |
Checking deflections by calculation |
8. |
Detailing of reinforcement - General |
8.1 |
General |
8.2 |
Spacing of bars |
8.3 |
Permissible mandrel diameters for bent bars |
8.4 |
|
8.4.1 |
General |
8.4.2 |
Ultimate bond stress |
8.4.3 |
Basic anchorage length |
8.4.4 |
Design anchorage length |
8.5 |
|
8.6 |
|
8.7 |
Laps and mechanical couplers |
8.7.1 |
General |
8.7.2 |
Laps |
8.7.3 |
Lap length |
8.7.4 |
Transverse reinforcement in the lap zone |
8.7.4.1 |
Transverse reinforcement for bars in tension |
8.7.4.2 |
Transverse reinforcement for bars permanently in compression |
8.7.5 |
Laps for welded mesh fabrics made of ribbed wires |
8.7.5.1 |
Laps of the main reinforcement |
8.7.5.2 |
Laps of secondary or distribution reinforcement |
8.8 |
Additional rules for large diameter bars |
8.9 |
Bundled bars |
8.9.1 |
General |
8.9.2 |
|
8.9.3 |
Lapping bundles of bars |
8.10 |
Prestressing tendons |
8.10.1 |
Arrangement of prestressing tendons and ducts |
8.10.1.1 |
Pre-tensioned tendons |
8.10.1.2 |
Post-tension ducts |
8.10.2 |
|
8.10.2.1 |
Transfer of prestress |
8.10.2.2 |
|
8.10.3 |
|
8.10.4 |
Anchorages and couplers for prestressing tendons |
8.10.5 |
Deviators |
9. |
Detailing of members and particular requirements |
9.1 |
General |
9.2 |
Beams |
9.2.1 |
Longitudinal reinforcement |
9.2.1.1 |
Minimum and maximum reinforcement areas |
9.2.1.2 |
Other detailing arrangements |
9.2.1.3 |
Curtailment of the longitudinal tension reinforcement |
9.2.1.4 |
|
9.2.1.5 |
|
9.2.2 |
Shear reinforcement |
9.2.3 |
Torsional reinforcement |
9.2.4 |
Surface reinforcement |
9.2.5 |
Indirect supports |
9.3 |
Solid slabs |
9.3.1 |
Flexural reinforcement |
9.3.1.1 |
General |
9.3.1.2 |
Reinforcement in slabs near supports |
9.3.1.3 |
Corner reinforcement |
9.3.1.4 |
Reinforcement at the free edges |
9.3.2 |
Shear reinforcement |
9.4 |
Flat slabs |
9.4.1 |
Definition |
9.4.2 |
Equivalent frame analysis |
9.4.3 |
Irregular column layout |
9.4.4 |
Reinforcement in flat slabs |
9.4.4.1 |
Slab at internal columns |
9.4.4.2 |
Slab at edge columns |
9.4.4.3 |
Punching shear reinforcement |
9.5 |
Columns |
9.5.1 |
Longitudinal reinforcement |
9.5.2 |
Transverse reinforcement |
9.6 |
Walls |
9.6.1 |
General |
9.6.2 |
Vertical reinforcement |
9.6.3 |
Horizontal reinforcement |
9.6.4 |
Transverse reinforcement |
9.7 |
Deep beams |
9.8 |
Foundations |
9.8.1 |
Pile caps |
9.8.2 |
Column and wall footings |
9.8.2.1 |
|
9.8.3 |
Tie beams |
9.8.4 |
Column footing on rock |
9.8.5 |
Bored piles |
9.9 |
Regions with discontinuity in geometry or action |
9.9.1 |
Frame corners |
9.9.1.1 |
Frame corners with closing moment |
9.9.1.2 |
Frame corners with opening moment |
9.9.2 |
Corbels |
9.10 |
Tying systems |
9.10.1 |
General |
9.10.2 |
Proportioning of ties |
9.10.2.1 |
Peripheral ties |
9.10.2.2 |
Internal ties |
9.10.2.3 |
Horizontal ties to columns and/or walls 9.10.2.4 Vertical ties |
9.10.3 |
Continuity and anchorage of ties |
10. |
Additional rules for precast concrete elements and structures |
10.1 |
General |
10.1.1 |
Special terms used in this section |
10.2 |
Basis of design, fundamental requirements |
10.3 |
Materials |
10.3.1 |
Concrete |
10.3.1.1 |
Strength |
10.3.1.2 |
Elastic deformation |
10.3.1.3 |
Creep and shrinkage |
10.3.2 |
Prestressing steel |
10.3.2.2 |
Technological properties of prestressing steel |
10.5 |
Structural analysis, general provisions |
10.5.1 |
General |
10.5.2 |
Losses of prestress |
10.9 |
Particular rules for design and detailing |
10.9.1 |
Restraining moments in slabs |
10.9.2 |
Wall to floor connections |
10.9.3 |
Floor systems |
10.9.4 |
Connections and supports for precast elements |
10.9.4.1 |
Materials |
10.9.4.2 |
General rules for design and detailing of connections |
10.9.4.3 |
Connections transmitting compressive forces |
10.9.4.4 |
Connections transmitting.shear forces |
10.9.4.5 |
Connections transmitting 'bending moments or tensile forces |
10.9.4.6 |
Half joints |
10.9.4.7 |
|
10.9.5 |
Bearings |
10.9.5.1 |
General |
10.9.5.2 |
Bearings for connected members |
10.9.5.3 |
Bearings for isolated members |
10.9.6 |
Pocket foundations |
10;9.6.1 |
Pockets with keyed surfaces |
10.9.6.2 |
Pockets with smooth surfaces |
10.9.7 |
Tying systems |
11. |
Lightweight aggregated concrete structures |
11.1 |
General |
11.1.1 |
Scope |
11.1.2 |
Special symbols |
11.2 |
Basis of design |
11.3 |
Materials |
11.3.1 |
Concrete |
11.3.2 |
Elastic deformation |
11.3.3 |
Creep and shrinkage |
11.3.4 |
Stress-strain relations for structural analysis |
11.3.5 |
Design compressive and tensile strengths |
11.3.6 |
Stress-strain relations for the design of sections |
11.3.7 |
Confined concrete |
11.4 |
Durability |
11.4.1 |
Environmental conditions |
11.4.2 |
Concrete cover and properties of concrete |
11.5 |
Structural analysis |
11.6 |
Ultimate limit states |
11.6.1 |
Members not requiring design shear reinforcement |
11.6.2 |
Members requiring design shear reinforcement |
11.6.3 |
Torsion |
11.6.3.1 |
Design procedure |
11.6.4 |
Punching |
11.6.4.1 |
Slabs or column bases without punching shear reinforcement |
11.6.4.2 |
Slabs or column bases containing punching shear reinforcement |
11.6.5 |
Partially loaded areas |
11.7 |
Serviceability limit states |
11.8 |
Detailing of reinforcement - General |
11.8.1 |
Permissible mandrel diameters for bent bars |
11.8.2 |
Ultimate bond stress |
11.9 |
Detailing of members and particular rules |
11.12 |
Plain and lightly reinforced concrete structures |
12. |
Plain and lightly reinforced concrete structures |
12.1 |
General |
12.2 |
Basis of design |
12.2.1 |
Additional partial safety factors for materials |
12.3 |
Materials |
12.3.1 |
Concrete: additional design assumptions |
12.5 |
Structural analysis: general provisions |
12.5.1 |
Ultimate Limit states |
12.6 |
Ultimate limit states for bending and axial force |
12.6.1 |
Design resistance to bending and axial force |
12.6.2 |
Local Failure |
12.6.3 |
Shear |
12.6.4 |
Torsion |
12.6.5 |
Ultimate limit states induced by structural deformation (buckling) |
12.6.5.1 |
Slenderness of columns and walls |
12.6.5.2 |
Simplified design method for walls and columns |
12.7 |
Serviceability limit states |
12.9 |
Detailing provisions |
12.9.1 |
Structural members |
12.9.2 |
Construction joints |
12.9.3 |
Strip and pad footings |
Informative annexes |
|
A |
Modification of partial factors for materials |
B |
Creep and shrinkage |
C |
Indicative Strength Classes for durability |
D |
Global second order effects in structures |
E |
Soil structure interaction |
F |
Reinforcement expressions for in-plane stress conditions |
G |
Detailed method for the calculation for prestressing steel relaxation losses |
H |
Clauses referring to a National Annex |