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EAS209 L17_Inelastic Bending- spring 11

# EAS209 L17_Inelastic Bending- spring 11 - EAS 209 Spring...

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EAS 209 Spring 2011 Instructor: Christine Human 2/7/2011 1 Lecture 17 – Inelastic Bending Lecture 17 Inelastic Bending Today’s Objective: Consider an elastoplastic material to understand plastic deformation Calculate M Y (maximium elastic moment) and M P (plastic moment) Today’s Homework: EAS 209 Spring 2011 Instructor: Christine Human 2/7/2011 2 Lecture 17 – Inelastic Bending Plastic Deformation Consider a rectangular section, with moment about the z-axis Provided the section remains elastic I Mc m 2 planes of symmetry y z b c c 3 3 3 2 ) 2 ( 12 1 bc I c b I Elastoplastic Material

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EAS 209 Spring 2011 Instructor: Christine Human 2/7/2011 3 Lecture 17 – Inelastic Bending NA passes through the centroid When σ m = σ Y the top and bottom of the section will reach yield M Y – maximum elastic moment Since Y Y Y bc c bc M bc I 2 3 3 3 2 3 / 2 3 2 Once section yields, NA will shift to maintain equilibrium. However, for a section with two planes of symmetry (and same properties in
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EAS209 L17_Inelastic Bending- spring 11 - EAS 209 Spring...

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