Evo Design - structural engineering Calculation No.    
001-RC BEAM  
            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    
Input  Output            
Beam section dimensions Bending moment capacity            
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   sectiune grinda.JPG          
Beam section dimensions                    
h = 400 mm (parameters that can not be            
b = 300 mm  modified in the demo version)            
Area = mm2                    
c = mm cover                  
f = 
mm   bars diameter          
n =
    no of bars          
Fig 3.5 - EC2.JPG                        
                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          
Concrete class
            per EN 1992-1-1:2004  
fck = MPa concrete characteristic      Section 3 Table 3.1  
      cylinder strength                
Tension reinforcement                        
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  
EN 1993-1-1:2004 - Eurocode 2: Design of concrete structures - Part 1-1: General rules and rules for buildings  
Calculation No.    
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 reinforcement strength                        
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  
              diagrame grinda.JPG          
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