Worked Examples To Eurocode 2 Volume 2 -

The Worked Examples to Eurocode 2 (Volume 2) provide essential practical guidance for applying Eurocode 2: Design of Concrete Structures (EN 1992-2) to complex scenarios, particularly concrete bridges and specialized structural elements. While Volume 1 typically focuses on basic building frames, Volume 2 expands into critical areas like foundations, serviceability, and fire resistance. Core Themes in Volume 2 Worked Examples

The examples in this volume bridge the gap between theoretical code clauses and real-world implementation. Key technical areas covered include: Worked Examples To Eurocode 2 Volume 2

Worked Examples to Eurocode 2, Volume 2 primarily focuses on the practical application of , which covers the design of concrete bridges

. This volume is a critical resource for engineers transitioning from national standards like BS 8110 to the Eurocode framework. Core Content and Themes

Volume 2 extends the general principles of Part 1-1 to the specific complexities of civil engineering works, notably bridges. Key topics typically included are: Worked Examples To Eurocode 2 | PDF - Scribd

Worked Examples to Eurocode 2: Volume 2 is a technical publication designed to assist structural engineers in applying EN 1992 (Eurocode 2)

for the design of concrete structures. While Volume 1 typically covers general rules and building design, Volume 2 focuses on more complex or specialized applications, such as (EN 1992-2) or liquid-retaining structures. Key Content & Purpose

The primary goal of this write-up is to bridge the gap between theoretical code clauses and practical application. You will typically find: Detailed Design Scenarios

: Step-by-step calculations for specific structural elements like continuous beams, slabs, and columns. Bridge Engineering Focus

: If following the standard division, Volume 2 often specifically addresses Eurocode 2: Part 2 (Bridges) , covering deck design, piers, and abutments. National Annex Integration : It illustrates how to apply specific parameters from National Annexes

(e.g., UK or Irish versions), which are crucial for localized safety factors and material properties. Core Structural Elements Covered

A "proper" write-up or manual of these examples usually includes: Material Properties : Determination of characteristic strengths ( f sub c k end-sub ) and design values for concrete and reinforcement. Limit State Checks : Demonstrations of Ultimate Limit State (ULS) for bending, shear, and torsion, as well as Serviceability Limit State (SLS) for cracking and deflection. Reinforcement Detailing

: Worked solutions for minimum/maximum reinforcement areas and spacing requirements. EurocodeApplied.com Where to Find Official Resources

For a formal and accurate reference, you should consult recognized engineering bodies: The Concrete Centre : Provides extensive guides and for Eurocode 2 design. CEN (European Committee for Standardization) : The official source for the full text of Academic/Professional Repositories : Sites like Eurocode Applied

Worked Examples to Eurocode 2 Volume 2: Design of Concrete Structures

Eurocode 2 (EC2) is a widely used European standard for the design of concrete structures. It provides a comprehensive framework for the design of buildings and civil engineering works, ensuring their safety, durability, and sustainability. To facilitate the application of EC2, several worked examples have been developed to illustrate its practical use. This article presents a selection of worked examples from Volume 2 of the Eurocode 2 series, covering various aspects of concrete structure design. worked examples to eurocode 2 volume 2

Example 1: Design of a Reinforced Concrete Beam

A rectangular beam with a span of 6 meters and a cross-sectional area of 0.3 x 0.6 meters is subjected to a permanent load of 10 kN/m and a variable load of 5 kN/m. The beam is reinforced with 4 longitudinal bars of 16 mm diameter and 2 stirrups of 8 mm diameter.

Using EC2, the design bending moment is calculated as:

MEd = 1.35 x (10 x 6^2 / 8) + 1.5 x (5 x 6^2 / 8) = 63.9 kNm

The required reinforcement area is calculated as:

As = 0.0013 x 0.3 x 0.6 x 500 = 117 mm^2

The provided reinforcement area is:

As.provided = 4 x π x (16/2)^2 = 804 mm^2

The beam is checked for shear resistance:

VRd,c = 0.12 x (1 + (0.6/0.3)) x 0.3 x 0.6 x 25 = 45.9 kN

The design shear force is:

VEd = 1.35 x (10 x 6 / 2) + 1.5 x (5 x 6 / 2) = 54.5 kN

The beam requires additional shear reinforcement.

Example 2: Design of a Concrete Column

A square column with a side length of 0.4 meters and a height of 3 meters is subjected to a permanent axial load of 500 kN and a variable axial load of 200 kN. The column is reinforced with 4 longitudinal bars of 20 mm diameter.

Using EC2, the design axial load is calculated as: | Feature | Volume 1 (Basic) | Volume

NEd = 1.35 x 500 + 1.5 x 200 = 847.5 kN

The required reinforcement area is calculated as:

As = 0.01 x 0.4 x 0.4 x 500 = 800 mm^2

The provided reinforcement area is:

As.provided = 4 x π x (20/2)^2 = 1256 mm^2

The column is checked for buckling:

λ = 3 / 0.4 = 7.5

The critical buckling load is:

Ncr = π^2 x 25 x 0.4^4 / (3^2) = 2761 kN

The column is stable.

Example 3: Design of a Concrete Slab

A rectangular slab with a span of 4 meters and a thickness of 0.2 meters is subjected to a permanent load of 2 kN/m^2 and a variable load of 1.5 kN/m^2. The slab is reinforced with a mesh of 10 mm diameter bars at 200 mm spacing.

Using EC2, the design bending moment is calculated as:

MEd = 1.35 x (2 x 4^2 / 8) + 1.5 x (1.5 x 4^2 / 8) = 18.9 kNm

The required reinforcement area is calculated as:

As = 0.0013 x 0.2 x 1 x 500 = 130 mm^2

The provided reinforcement area is:

As.provided = (π x (10/2)^2) / 0.2 = 392 mm^2

The slab is checked for punching shear:

VEd = 1.35 x (2 x 4 / 2) + 1.5 x (1.5 x 4 / 2) = 18.5 kN

The design punching shear resistance is:

VRd,c = 0.12 x (1 + (0.6/0.2)) x 0.2 x 1 x 25 = 12.5 kN

The slab requires additional shear reinforcement.

These worked examples illustrate the application of Eurocode 2 to various concrete structure design scenarios. They demonstrate the importance of careful consideration of loads, material properties, and reinforcement requirements to ensure the safety and durability of concrete structures.

References

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.

Volume 1 typically covers basic beams, slabs, columns, and foundations. Volume 2 addresses the nuances often misunderstood or oversimplified:

Actual ( \lambda = 57.7 ), ( \lambda_lim = 58.1 ) → Second-order effects may be ignored (just satisfied).

[ \tau_v,Ed = \fracV_Edb_w \cdot z \approx \frac120 \times 10^3300 \times 0.9 \times 600 = \frac120e3162,000 = 0.74 \text MPa ] The Worked Examples to Eurocode 2 (Volume 2)