Question: Prove that for a uniform cross section beam

Prove that for a uniform-cross-section beam with simple supports at the ends loaded by a single concentrated load, the location of the maximum deflection will never be outside the range of 0.423l ≤ x ≤ 0.577l regardless of the location of the load along the beam. The importance of this is that you can always get a quick estimate of ymax by using x = l/2.

  • CreatedNovember 02, 2009
  • Files Included
Post your question