Calculation No.  
CALCULATION SHEET Project No.    
Metric units (SI)           onlinestructuraldesign.com
Project Title:   Calc. By Date Rev.
                 
Subject/Feature:   Checked By Date  
                 
                       
Simple Beam - Uniformly Distributed Load      
                       
Input  Output    
Beam characteristics Shears, Moments and Deflections    
Uniformly distributed load      
             
 
Beam characteristics  
   
w = kN/m uniformly distributed load  
L = m beam length  
   
E = MPa element elasticity modulus  
I = cm4 element moment of inertia  
   
x = m position for beam internal forces calculation  
               
               
               
   
Shears, Moments and Deflections  
   
wt= w*L= kN total equivalent uniform load
                       
R = V = w*L/2= kN support reactions / end shear
                       
Vx= w*(L/2-x)= kN shear at x distance
                       
Mmax= w*L2/8= kN*m maximum moment
                       
Mx= w*x*(L-x)/2= kN*m moment at x distance
                       
Dmax= 5*w*L4/(384*EI)= mm maximum deflection
                       
Dx= w*x*(L3-2*L*x2+x3)/24*EI= mm deflection at x distance
                       
                       
                       
                       
References:                      
Manual of Steel Construction - American Institute of Steel Construction Inc., 2005