EUROCODE 2 WORKED EXAMPLES - Federbeton

EC2 – worked examples 6-4
EXAMPLE 6.3 Calculation of V Rd,c for a prestressed beam [EC2 clause 6.2]
Rectangular section bw = 100 mm, h = 200 mm, d = 175 mm. No longitudinal or transverse
reinforcement bars are present. Class C40 concrete. Average prestressing σcp = 5,0 MPa.
Design tensile resistance in accordance with:
fctd = αct fctk, 0,05/γC = 1· 2,5/1,5= 1,66 MPa
Cracked sections subjected to bending moment.
VRd,c = (νmin + k1 σcp) bwd
where νmin = 0,626 and k1 = 0,15. It results:
VRd,c = (0.626 + 0.15⋅5.0)⋅100⋅175 = 24.08 kN
Non-cracked sections subjected to bending moment. With αI = 1 it results
3
200
I = 100⋅ = 66.66⋅10 mm
12
Table of Content
6 4
S = 100⋅100⋅ 50 = 500⋅10 mm
100⋅66.66⋅10 3
500 ⋅10
VRd,c = ( )
6
3 3
2
1.66 + 1,66⋅ 5.0 = 44.33 kN