Calculation No.    
Project Title:   Calc. By Date Rev.  
Subject/Feature:   Checked By Date    
Input  Output      
Beam characteristics Shears, Moments and Deflections      
Concentrated load (kN)        
Beam characteristics          
P = kip concentrated load    
L = ft beam length    
E = ksi element elasticity modulus        
I = in4 element moment of inertia        
x = ft position for beam internal forces calculation    
a = ft            
L - a = ft            
Shears, Moments and Deflections            
R = V = P = kip           support reactions / end shear  
Mmax= P*a = kip*ft         maximum moment between loads  
Mx= P*x =  kip*ft      for a > x   moment at x distance
Mx= P*a = kip*ft      for a < x < L-a   moment at x distance
Mx= P*(L-x) = kip*ft      for L-a < x   moment at x distance
max= P*a*(3*L2-4*a2)/24EI= in       maximum deflection  
x= P*x*(3*L*a-3*a2-x2)/6EI = in      for a > x   deflection at x distance
x= P*a*(3*L*x-3*x2-a2)/6EI = in      for a < x < L-a   deflection at x distance
x= P*(L-x)*(3*L*a-3*a2-(L-x)2)/6EI = in      for L-a < x   deflection at x distance
Manual of Steel Construction - American Institute of Steel Construction Inc., 2005