Evo Design - structural engineering Calculation No. 001-RC BEAM CALCULATION SHEET Project No. onlinestructuraldesign.com SAMPLE CALCULATION Project Title: Reinforced concrete beam - interactive design spreadsheet Calc. By Date Rev. MN 16.04.2014 0 Subject RC Beam - Bending Moment Capacity calculation (EC2) Checked By Date Metric Units Spreadsheet CN 16.04.2014 InputÂ Output Beam section dimensions Bending moment capacity Reinforcement Materials (steel, concrete) Reinforced Concrete Beam Calculation - Bending Moment Capacity (EC2) per EN 1992-1-1:2004* Section 3 Beam bending moment capacity at ultimate limit state Beam section dimensions h = 400 mm (parameters that can not be b = 300 mm Â modified in the demo version) Area = mm2 Reinforcement c = mm cover f =Â 0 6 7 8 10 12 14 16 18 20 22 25 28 32 36 40 0 6 7 8 10 12 14 16 18 20 22 25 28 32 36 40 0 6 7 8 10 12 14 16 18 20 22 25 28 32 36 40 mm bars diameter n = 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10 no of bars per EN 1992-1-1:2004 Section 3.1.7 Figure 3.5 As = mm2 area of reinforcement in tension side preinf = % percentage of tension reinforcement Materias Concrete class C12/15 C16/20 C20/25 C25/30 C30/37 C35/45 C40/50 C45/55 C50/60 C55/67 C60/75 C70/85 C80/95 C90/105 per EN 1992-1-1:2004 fck = MPa concrete characteristicÂ Section 3 Table 3.1 cylinder strength Tension reinforc type reinforcement types fyk = MPa reinforcement yield strength Partial factors for materials for ultimate limit states per EN 1992-1-1:2004 Section 2 Table 2.1N gc = values for Persistent & Transient design situations gs = recommended by the Eurocode; values to be used may be found in the Eurocode National Annexes References: EN 1993-1-1:2004 - Eurocode 2: Design of concrete structures - Part 1-1: General rules and rules for buildings Calculation No. CALCULATION SHEET Project No. onlinestructuraldesign.com Project Title: Calc. By Date Rev. Subject Ckd. By Date Design compressive concrete strength per EN 1992-1-1:2004 Section 3.1.6 acc = Coefficient taking account of long term effects on the compressive strength and of unfavourable effectsresulting from the way the load is applied value may be found in the EC National Annex fcd = acc * fck / gc = MPa formula 3.15 Design reinforce fyd = fyk / gs = MPa per EN 1992-1-1:2004 Section 3.1.7 Figure 3.8 l = per EN 1992-1-1:2004 Section 3.1.7 (3) h = A rectangular stress distribution is assumed l, defining the effective height of the compression zone and h, defining the effective strength are derived from formulas 3.19, 3.20, 3.21 and 3.22 Bending moment capacity - Stress and strain equilibrium - pure bending Fs = As * fyd = kN Fb = Fs a = Fb / (h * b * fcd) = mm x = a / l = mm Mcap = Fb * (h - c - f/2 -a/2) = kN*m