How OEM's can make their parts better, faster, and more efficient.

Machine Design

How-to, in-depth technical articles for machine design engineers

Metal 3D Printing Design Guide

Direct Metal Laser Sintering (DMLS) 3D printing for parts with reduced cost and little waste.

3D Scanners

A white paper to assist in the evaluation of 3D scanning hardware solutions.

more free magazines
Notation and symbols commonly used in Euler-Bernoulli beam theory are summarized below:
Independent Parameters
Quantity Symbol Units
  elastic modulus   E N/m2
  area moment of inertia   I m4
  line pressure load   p N/m
  concentrated force load   P N
  location along beam   x m
  height above neutral surface   y m

Dependent Parameters
Quantity Symbol Units
  transverse displacement   w m
  slope of neutral surface   q radian
  rotation of beam cross section   c radian
  moment resultant   M N-m
  shear resultant   V N
  stress   s N/m2
  strain   e 1
Neutral Plane - Plane in the beam where all bending stresses are zero. It is the reference point for the integral defining the Area Moment of Inertia, I.

Line Pressure Load - Out of convenience, beam theory defines the units for a pressure load as [N/m], as opposed to real pressure units [N/m2]. To convert a real pressure to this line pressure for beams, multiply the true pressure by the beam width,