VRd,c = 0.12 x (1 + (0.6/0.2)) x 0.2 x 1 x 25 = 12.5 kN
Priya leaned forward. "But our bridge has both bending and axial tension from the arch thrust."
Concrete strut capacity: ( \nu = 0.6(1 - f_ck/250) = 0.6(1-0.14)=0.516 ) ( f_cd = 35/1.5 = 23.3 \text MPa ) ( \theta = 22^\circ ) initially: ( \cot \theta = 2.5 ) Check ( \frac\tau_t,Edf_cd \sin\theta \cos\theta + \frac\tau_v,Edf_cd \sin\theta \cos\theta \le 1 )? No – better use: [ \fracT_EdT_Rd,max + \fracV_EdV_Rd,max \le 1 ] But easier: ( \tau_total = \sqrt\tau_t,Ed^2 + \tau_v,Ed^2 = \sqrt2.31^2 + 0.74^2 = 2.43 \text MPa ) Allowable ( \tau_max = 0.5 \nu f_cd = 0.5 \times 0.516 \times 23.3 \approx 6.0 \text MPa ) → OK.
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.
VRd,c = 0.12 x (1 + (0.6/0.2)) x 0.2 x 1 x 25 = 12.5 kN
Priya leaned forward. "But our bridge has both bending and axial tension from the arch thrust." worked examples to eurocode 2 volume 2
Concrete strut capacity: ( \nu = 0.6(1 - f_ck/250) = 0.6(1-0.14)=0.516 ) ( f_cd = 35/1.5 = 23.3 \text MPa ) ( \theta = 22^\circ ) initially: ( \cot \theta = 2.5 ) Check ( \frac\tau_t,Edf_cd \sin\theta \cos\theta + \frac\tau_v,Edf_cd \sin\theta \cos\theta \le 1 )? No – better use: [ \fracT_EdT_Rd,max + \fracV_EdV_Rd,max \le 1 ] But easier: ( \tau_total = \sqrt\tau_t,Ed^2 + \tau_v,Ed^2 = \sqrt2.31^2 + 0.74^2 = 2.43 \text MPa ) Allowable ( \tau_max = 0.5 \nu f_cd = 0.5 \times 0.516 \times 23.3 \approx 6.0 \text MPa ) → OK. VRd,c = 0
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. Run the same geometry in your structural analysis