L08_StressConcentration-10

L08_StressConcentration-10 - EAS 209-Fall 2010 Instructors:...

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EAS 209-Fall 2010 Instructors: Christine Human 8/24/2010 1 08-Stress Concentrations Lecture 8 Stress Concentrations / Plastic Deformation We have assumed that stress is: 1) uniformly distributed 2) less than the yield stress. Today’s Objectives: Consider stress concentrations around bolt holes and fillets Understand what happens when σ > σ Y using an ideal elastoplastic material to model behavior Today’s Homework: EAS 209-Fall 2010 Instructors: Christine Human 8/24/2010 2 08-Stress Concentrations Stress Concentrations Discontinuities of cross section, such as a hole or reduction in area, may also result in high localized or concentrated stresses Define stress concentration factor Assuming linear stress-strain relationship , K is independent of material type and size of member K is only dependent on relative geometry Values for K can be determined experimentally: max ave K σ =
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EAS 209-Fall 2010 Instructors: Christine Human 8/24/2010 3 08-Stress Concentrations Flat bar with hole: K is a function of r/d Flat bar with fillet: K is a function of r/d and D/d EAS 209-Fall 2010 Instructors: Christine Human 8/24/2010 4 08-Stress Concentrations Example Determine the largest axial load P that can be safely supported by a flat steel bar consisting of two portions, both 10 mm thick, and respectively 40 and 60 mm wide, connected by fillets of radius r = 8 mm. Assume an allowable normal stress of 165 MPa.
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L08_StressConcentration-10 - EAS 209-Fall 2010 Instructors:...

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