Three-Point Bending of Wooden Material


Class: BE210
Group: W2
Members:

Baker
Gilmour
Khanarian
Liu
Subhash

Date: April 2004

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Abstract: 

Tensile and compressive loading are not the only methods of determining the mechanical properties of biological materials; three-point bending tests are used to determine the flexural properties. The flexural modulus and flexural failure strength are two of the flexural properties that were investigated in this experiment. The defined flexural modulus in this experiment was based upon Hooke’s Law, σ = Ebε. The stress, σ, was defined as σ = (3PL)/(2wt2), and the strain, ε, was defined as ε = (6yt)/L2, to give an equation for the flexural modulus, Eb= (PL3)/(4wt3y). In these equations, P = impacting force, L = beam length between pivots, w = beam width, t = beam thickness, and y = displacement of the impacting wedge from starting position. Additionally, flexural failure strength takes both compressive and tensile strength into consideration because as the material is flexed, one side experiences compression and the opposite, tensile. The three-point bending jig allows a material to be impacted on its side just as a long bone, skull, or helmet may be loaded.