Benchmark 4: Calculation of Mrd for reinforced column

Benchmark 4

Calculation of MRd for reinforced column [EC2 clause 6.1]

Project file: EN2_Benchmark4.esa

Scia Engineer ver.: 10.1.412

Introduction

This benchmark concerns about Example 6.1: Calculation of Moment resistance

according axial forces on reinforced column [EC2, clause 6.1] of Eurocode 2 -

WORKED EXAMPLES, The European Concrete Platform ASBL, May 2008.

The used concrete has resistance class C30/37 with cc = 0,85 Rectangular cross-section b = 500 mm, h = 1000 mm, d = 950 mm

Longitudinal reinforcement is defined according to the picture with class B450B

Evaluation in Scia Engineer is divided into 4 parts (each part for different axial forces)

Benchmark 4: Calculation of Mrd for reinforced column

Reference Results

The reference gives following results:

Benchmark 4: Calculation of Mrd for reinforced column

Scia Engineer Results

The results are evaluated in the service Check capacity of non- prestressed concrete

(tree Concrete > 1D member > Member check-check of non-prestressed concrete >

Check capacity) for value Myu

Part 1:

Load Case 1 = NEd = 600 kN

MRd = 2107 kNm

Benchmark 4: Calculation of Mrd for reinforced column

Part 2:

Load Case 2 = NEd = 2000 kN

MRd = 2529 kNm

Benchmark 4: Calculation of Mrd for reinforced column

Part 3:

Load Case 3 = NEd = 5000 kN

MRd = 2505 kNm

Benchmark 4: Calculation of Mrd for reinforced column

Part 4:

Load Case 4 = NEd = 10000 kN

MRd = 940 kNm

Summary:

Scia Engineer Result [kNm] Reference Result [kNm] Deviation [%]

Part 1 2107 2031 -3,6

Part 2 2529 2524 0,2

Part 3 2505 2606 4,0

Part 4 940 1000 6,4

Benchmark 4: Calculation of Mrd for reinforced column

Comments

- In Scia Engineer is not defined material for reinforcement steel with fyd = 391 MPa. It is necessary to create new reinforcement steel B450B with fyk = 450 MPa.

- The reference is for d = 950 mm. Scia Engineer calculates value d as d = 0,9h d = 0,91000 = 900 mm, because tensile reinforcement was not found in the cross-

section

- In national annex for 1992-1-1 is necessary set cc value to 0,85

- In concrete solver setup it is necessary to set Buckling data checkbox to NO

- In concrete solver setup it is necessary to set Method of check for Interaction diagram to Muy

- Concrete cover is set on 29,38425mm because diameter of reinforcement value is

set to 25,2315mm (because 22 50004/2315,2510 mmAs ) and 29,38425 +

25,2315 / 2 + 8 = 50mm = d1