While the exact table of contents varies by publisher (e.g., IStructE, fib Bulletins, or institution-specific notes like the UK’s Concrete Centre), a genuine Volume 2 will cover the following high-level topics.
Scenario: An internal beam in an office building spans 6.0m. The slab is 150mm thick, and the beam web width ($b_w$) is 300mm with an overall depth ($h$) of 500mm. Design the tension steel for the ultimate limit state (ULS) given a design moment ($M_Ed$) of 450 kNm.
Material Properties:
Step 1: Determine Effective Flange Width ($b_eff$) According to EN 1992-1-1 Cl. 5.3.2.1, the effective width is a function of the span and spacing.
Step 2: Determine Neutral Axis Depth ($x$) Assume the neutral axis lies within the flange ($x < h_f$). We check this by treating the section as rectangular.
Step 3: Calculate Steel Area ($A_s$) Using the simplified rectangular stress block:
The development of a "Worked Examples" feature for Eurocode 2 Volume 2
centers on providing practical applications for complex structural scenarios that go beyond standard building frames. While Volume 1 typically covers basic concrete framed buildings, focuses on specialized topics such as
foundations, serviceability, fire design, and retaining walls Core Modules for Volume 2
A comprehensive worked example feature should include the following technical modules: Foundation Design
: Practical calculations for pad foundations, strip footings, and pile caps, ensuring compliance with both Eurocode 2 (Concrete) and Eurocode 7 (Geotechnical). Serviceability Limit States (SLS)
: Detailed examples for crack control and deflection limits, which are often more stringent in Volume 2 scenarios like retaining walls. Fire Resistance Assessment
: Step-by-step verification of structural fire resistance using the tabular or simplified calculation methods specified in Eurocode 2 Part 1-2. Retaining Walls worked examples to eurocode 2 volume 2
: Comprehensive design examples covering lateral earth pressure, stability (sliding and overturning), and structural reinforcement detailing. Prestressed Concrete
: For applications like bridge beams, examples should cover prestressing force losses, anchorage zone design, and fatigue assessments. Implementation Features
To maximize utility for engineers, the feature should incorporate: National Annex Support
: Ability to toggle between various National Annexes (e.g., UK National Annex), as specific parameters like v sub m i n end-sub for shear can vary by country. Comparative Analysis
: Side-by-side comparisons of different calculation levels, such as "Simple Hand Calculations" versus "Detailed Computer-Validated Methods". Visual Guidance : Integration of annotated diagrams and stress blocks
to explain the "why" behind specific Eurocode clauses, such as the variable strut inclination method for shear. Lagos State Government Authoritative Resources For sourcing baseline data and verification, refer to: Worked Examples To Eurocode 2 | PDF - Scribd
Mastering Eurocode 2 Volume 2—specifically the worked examples published by The Concrete Centre or the Joint Research Centre (JRC)—is essential for structural engineers moving beyond basic building design. While Volume 1 focuses on standard framed buildings, Volume 2 tackles more complex civil engineering works like foundations, retaining walls, and liquid-retaining structures. 🏗️ Core Themes in Volume 2
The worked examples typically bridge the gap between the general rules of EN 1992-1-1 and the specific requirements for civil structures found in EN 1992-2 (Bridges) or EN 1992-3 (Liquid Retaining Structures).
Foundations: Examples cover the design of spread bases, piled foundations, and raft foundations for multi-storey buildings.
Serviceability (SLS): Detailed calculations for crack width control and deflection—critical for durability in aggressive environments.
Retaining Structures: Worked scenarios for free-standing cantilever earth-retaining walls and buried rectangular tanks.
Liquid Retention: Design of large underground service reservoirs and open circular tanks, focusing on tightness and durability. 🛠️ The Step-by-Step Design Approach While the exact table of contents varies by publisher (e
Authoritative guides, such as the JRC Bridge Design Examples, follow a rigid sequence to ensure code compliance: 1. Definition of Actions and Materials
Load Combinations: Determining partial safety factors for permanent ( ) and variable (
Exposure Classes: Selecting appropriate concrete cover based on environmental conditions (e.g., XD3cap X cap D 3 for chloride-exposed bridges). 2. Global Structural Analysis EUROCODE 2 WORKED EXAMPLES
In the context of the concrete industry, Worked Examples to Eurocode 2: Volume 2
typically focuses on the design of specific structural elements not covered in the first volume, such as foundations serviceability (detailed calculations), fire design retaining walls National Digital Library of Ethiopia
Below is an outline and a specific worked example modeled after the common contents of such a "Volume 2" paper, specifically focusing on a Retaining Wall
design under Eurocode 2 (EN 1992-1-1) and Eurocode 7 (Geotechnical Design). National Digital Library of Ethiopia Outline of Worked Examples to Eurocode 2 (Volume 2) Foundations : Design of pad bases and pile caps. Serviceability Limit States (SLS) : Detailed crack width and deflection calculations. Structural Fire Design
: Verification of elements under fire exposure (EN 1992-1-2). Retaining Walls
: Cantilever wall design including geotechnical and structural stability. www.phd.eng.br Worked Example: Cantilever Retaining Wall Design
This example covers the verification of a reinforced concrete cantilever retaining wall. 1. Define Design Parameters
Determine the actions and material properties. We assume a wall height and soil density National Digital Library of Ethiopia Concrete Class : C30/37 ( Steel Grade Partial Safety Factors (Permanent), (Variable) 2. Calculate Lateral Earth Pressure Apply the active earth pressure coefficient cap K sub a . For a friction angle
cap K sub a equals the fraction with numerator 1 minus sine open paren 30 raised to the composed with power close paren and denominator 1 plus sine open paren 30 raised to the composed with power close paren end-fraction equals 0.333 The characteristic pressure at the base is: Step 1: Determine Effective Flange Width ($b_eff$) According
p sub k equals cap K sub a center dot gamma sub s o i l end-sub center dot cap H equals 0.333 center dot 18 center dot 4.0 equals 24 kN/m squared 3. Determine Design Bending Moment ( cap M sub cap E d end-sub The design horizontal force cap F sub cap E d end-sub and resulting moment at the base of the stem:
cap F sub cap E d end-sub equals gamma sub cap G center dot open paren one-half center dot p sub k center dot cap H close paren equals 1.35 center dot open paren 0.5 center dot 24 center dot 4.0 close paren equals 64.8 kN/m The lever arm for a triangular load is
cap M sub cap E d end-sub equals cap F sub cap E d end-sub center dot open paren the fraction with numerator cap H and denominator 3 end-fraction close paren equals 64.8 center dot 1.33 equals 86.4 kNm/m 4. Calculate Required Reinforcement ( cap A sub s
Using the simplified rectangular stress block from EN 1992-1-1: Effective Depth ( : Assume overall thickness
cap K equals the fraction with numerator cap M sub cap E d end-sub and denominator b center dot d squared center dot f sub c k end-sub end-fraction equals the fraction with numerator 86.4 center dot 10 to the sixth power and denominator 1000 center dot 350 squared center dot 30 end-fraction equals 0.0235 Lever Arm (
z equals d over 2 end-fraction open bracket 1 plus the square root of 1 minus the fraction with numerator 3.53 cap K and denominator eta end-fraction end-root close bracket is approximately equal to 0.95 d equals 332.5 mm Area of Steel
cap A sub s equals the fraction with numerator cap M sub cap E d end-sub and denominator f sub y d end-sub center dot z end-fraction equals the fraction with numerator 86.4 center dot 10 to the sixth power and denominator open paren 500 / 1.15 close paren center dot 332.5 end-fraction equals 598 mm squared /m : Provide H12 bars at 175 mm centers ( Final Design Calculation Summary
The required area of longitudinal reinforcement for the stem of the cantilever retaining wall is checks for this wall? AI responses may include mistakes. Learn more EUROCODE 2 WORKED EXAMPLES
Owning "Worked Examples to Eurocode 2 Volume 2" is not enough. You must use it as a reference manual, not a novel.
Tip 1: Don't Skip the "Given" Data
Every example starts with Material properties (f_ck, f_yk), Cover, and Exposure class. Practice changing these parameters. What happens to the required reinforcement if f_ck drops from C35/45 to C30/37?
Tip 2: Re-run the Calculations in Excel
Do not just read the PDF. Type the formulas into a spreadsheet. The true learning occurs when you mis-type the effective depth (d) and get a different strain diagram than the book. You will then re-read Cl. 6.1 and finally understand the parabolic-rectangular vs. bi-linear stress blocks.
Tip 3: Compare with Software Output Run the same geometry in your structural analysis software (Tekla, ETABS, or Autodesk Robot). Typically, software gives you a "pass/fail" flag. The worked example shows you how the software calculated the factor of safety. You will often find software uses the simplified method for columns; Volume 2 will show you the general method for verification.
If you are designing a concrete structure tomorrow, here is your workflow using Volume 2: