Discussion

# Discussion - Introduction The existence of any geometric...

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Introduction The existence of any geometric irregularities in any shape or form can on a loaded mechanical part or even a structural member can hinder the normal flow of stress trajectories of that specimen. This could cause stresses to crowd together and increase or decrease stresses making them not equal to nominal value calculated by conventional mechanics and materials formulas that have been created. This experiment can be used in many settings dealing with different types of materials. (For example normal characteristics in different types of steel such as ultimate tensile strength or yield strength) Purpose The purpose of this experiment is to model the existence of stress and strain concentrations of geometric discontinuities in the cantilever beam. Also we must acquire the approximate measure of the elastic stress concentration factor K t . In this experiment the discontinuity can be measured from the circular hole drilled on the centerline of the bar. Theory Modulus of elasticity is expressed as the compression, tension, and elasticity of the material before it hits its point of deformation. The flexure formula makes it possible to derive the stress of the material: (at section A) a = = where: M=bending moment at gage centerline, in-lbs (N-m) c= semi-thickness of beam, in (m) l=moment of inertia of beam cross section, in^4 (m^4) P= load, lbf (N) L= effective beam length, in (m) B= beam width, in (m) T= beam thickness, in (m)

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## This note was uploaded on 11/02/2011 for the course MET 362 taught by Professor Smith during the Spring '11 term at Utica.

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Discussion - Introduction The existence of any geometric...

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