Beam Formulas
Beam formulas may be used to determine the deflection, shear and bending moment in a beam based on the applied loading and boundary conditions.
Reference Documents:
 Formulas for Stress and Strain, Roark & Young, McGrawHill
 Formulas for Stress, Strain, and Structural Matrices, Pilkey, John Wiley & Sons.
Common Beam Formulas:
PINNEDPINNED BEAM WITH UNIFORM LOAD 

FIXEDFIXED BEAM WITH UNIFORM LOAD 

PINNEDFIXED BEAM WITH UNIFORM LOAD 

FREEFIXED BEAM WITH UNIFORM LOAD 

PINNEDPINNED BEAM WITH POINT LOAD 
See definitions of < > step functions below. 
FIXEDFIXED BEAM WITH POINT LOAD 
See definitions of < > step functions below. 
PINNEDFIXED BEAM WITH POINT LOAD 
See definitions of < > step functions below. 
FREEFIXED BEAM WITH POINT LOAD 
See definitions of < > step functions below. 
Legend: w = uniform load (force/length units) 
If x < a then < x  a >^{0} = 0 