In this verification example, the capacity design values of shear forces on beams are calculated in accordance with EN 1998-1, 5.4.2.2 and 5.5.2.1 as well as the capacity design values of columns in flexure in accordance with 5.2.3.3(2). The system consists of a two span reinforced concrete beam with a span length of 5.50m. The beam is part of a frame system. The results obtained are compared with those in [1].
| Material | Concrete C20/25 | Modulus of Elasticity | E | 30000 | N/mm2 |
| Design value of concrete compressive strength | fcd | 11.333 | N/mm2 | ||
| Reinforcing Steel B400S(C) | Modulus of Elasticity | Es | 200000.000 | N/mm2 | |
| Design yield strength | fyd | 347.826 | N/mm2 | ||
| Geometry | Structure | Beams length | lb | 5.500 | m |
| Columns length | lc | 4.000 | m | ||
| Beams cross-section | Height | h | 550 | mm | |
| Width | b | 300 | mm | ||
| Concrete cover | cnom | 20 | mm | ||
| Columns cross-section | Height | h | 500 | mm | |
| Width | b | 300 | mm | ||
| Concrete cover | cnom | 22 | mm | ||
| Loads | Permanant loads | Dead Load | LC1 | 10.875 | kN/m |
| Dead Load | LC1 | 571.900 | kN | ||
| Dead Load | LC1 | 158.650 | kN | ||
| Imposed loads | Live Load | LC2 | 20.000 | kN/m | |
| Dynamic loads | Modal | LC3 | |||
| Response Spectrum | LC4 |
RFEM Settings
- the ductility class of the model is set to high ductility (DCH)
Results
- Capacity Rule for Shear - Capacity design values of shear forces on beams acc. to EN 1998-1, 5.4.2.2 and EN 1998-1, 5.5.2.1
The design check capacity rule for bending is carried out at the face of the supports A and B.
Capacity Rule for Shear- Capacity design values of shear forces on beams acc. to EN 1998-1, 5.4.2.2 and EN 1998-1, 5.5.2.1 Parameter Description Unit RFEM Reference Solution Ratio M+Rd,1,y Positive (sagging) moment resistance of member at start section [kNm] 119.301 118.700 1.00 M-Rd,1,y Negative (hogging) moment resistance of member at start section [kNm] 86.096 85.800 1.00 M+Rd,2,y Positive (sagging) moment resistance of member at end section [kNm] 119.290 118.700 1.00 M-Rd,2,y Negative (hogging) moment resistance of member at end section [kNm] 169.321 168.800 1.00 lcl Clear span of beam [m] 5.100 5.100 1.00 VA,g+ψ2q,max Shear force due to quasi-permanent loads for simply supported beam in the face of the support A [kN] 53.550 53.550 1.00 V-A,Ed,max,z Shear force corresponding to maximum negative end moment in z-direction [kN] -14.361 -14.100 1.02 V+A,Ed,max,z Shear force corresponding to maximum positive end moment in z-direction [kN] 101.876 101.670 1.00 ζ1,max Ratio of design shear forces V-Ed,max / V+Ed,max for result combination [-] -0.141 -0.139 1.01 VB,g+ψ2q,max Shear force due to quasi-permanent loads for simply supported beam in the face of the support B [kN] 53.550 53.550 1.00 V-B,Ed,min,z Shear force corresponding to minimum negative end moment in z-direction [kN] -121.461 -121.200 1.00 V+B,Ed,min,z Shear force corresponding to minimum positive end moment in z-direction [kN] -5.224 -5.430 0,96 ζ2,min Ratio of design shear forces V+Ed,min / V-Ed,min for result combination [-] -0.043 -0.045 0.95
- Capacity Rule for Bending - Capacity design of columns in flexure acc. to EN 1998-1, 5.2.3.3(2)
Capacity Rule for Bending - Capacity design of columns in flexure acc. to EN 1998-1, 5.2.3.3(2) Parameter Description Unit RFEM Reference Solution Ratio M-Rd,c,y,9 Negative moment resistance of column 9 at support B [kNm] -286.909 -281.000 1.02 M-Rd,c,y,6 Negative moment resistance of column 6 at support B [kNm] -293.171 -295.000 0.99 ΣM-Rd,c,y Sum of moment resistances of columns at node B [kNm] -580.080 -576.000 1.00 M+Rd,b,y,1 Positive moment resistance of member 1 at the left side of node B [kNm] -169.321 -168.800 1.00 M+Rd,b,y,2 Positive moment resistance of member 2 at the right side of node B [kNm] -119.804 -118.700 1.01 ΣM-Rd,b,y Sum of moment resistances of beams at node B [kNm] -289.125 -287.500 1.02 η+y Design check ratio of positive capacity moments [-] 0.648 0.649 0.99
![Spans Based on Figure 5.2 from [1]](/en/webimage/039540/3493372/01_Abmessungen_EN.png?mw=512&hash=3cc425f1463bd5981b358d5889e3109e07ae1233)
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