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Motovated Design & Analysis Newsletter - April 2009

Tips & Tricks - designing for impact loads


As we have seen in impact design, the energy absorption can be doubled by using the entire section to carry the load. This is achieved by using a variable cross-section beam. The stress distributions are compared below for a rectangular beam in 3 point bending.

Stress Distribution Comparison

Constant section stress plot

Constant Beam Section


Variable section stress plot

Variable Beam Section


As highlighted above, all the material in the variable section beam is completely utilised, resulting in reduced beam weight. Other manufacturing issues may need consideration (such as additional plate profiling and plate rolling), however the basic concept holds - the variable section beam is optimised for impact loading.


Impact Energy Formulas

The formulas for the impact energy absorbed by the two different beams are shown below:

Uniform section impact energy

Constant Beam Section Impact Formula


Variable section impact energy

Variable Beam Section Impact Formula
(Diagrams from Design of Welded Structures, Omer W. Blodgett)

The coefficient of the variable section beam is twice that of the constant section, hence the impact strength is doubled.