Calculation No.  
Metric units (SI) 
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
Manual of Steel Construction - American Institute of Steel Construction Inc., 2005