MRd Moment Resistance Example
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Transcript of MRd Moment Resistance Example
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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)
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Benchmark 4: Calculation of Mrd for reinforced column
Reference Results
The reference gives following results:
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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
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Benchmark 4: Calculation of Mrd for reinforced column
Part 2:
Load Case 2 = NEd = 2000 kN
MRd = 2529 kNm
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Benchmark 4: Calculation of Mrd for reinforced column
Part 3:
Load Case 3 = NEd = 5000 kN
MRd = 2505 kNm
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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
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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