17.6_MofI_2 - ENGR 211 Lecture 16 Moment of Inertia part 2 Force Couple Compression Tension I Civil Engineering Definitions I x = y 2 dA = kx 2 A 2

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ENGR 211 Lecture 16 Fall 2007 Civil Engineering Moment of Inertia Moment of Inertia part 2 part 2 Compression Tension Force Couple I Civil Engineering Definitions Definitions 2 2 x x Iy d A k A == 22 yy I xdA k A •Where I is Moment of Intertia •And k is the radius of gyration Remember how we solved for the centroid of an Area much the same way.
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ENGR 211 Lecture 16 Fall 2007 Civil Engineering Moments of Inertia Moments of Inertia • They are inversely proportional to the stresses in beams that cause failure. • They are proportional to the stiffness of beams. • They are second moments of area. Civil Engineering
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ENGR 211 Lecture 16 Fall 2007 Civil Engineering Strength of Materials Strength of Materials Real Materials fail when too much stress is applied • Axial Stress – Tension – Compression • Shear Stress • Bending Stress Civil Engineering Axial Stress Axial Stress Tension (or Compression) Cross-sectional area T σ axial =
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ENGR 211 Lecture 16 Fall 2007 Civil Engineering Shear Stress Shear Stress Shear Force Cross-sectional area V σ shear = Civil Engineering Bending Stress Bending Stress depends on Axis of Bending • Free to Bend • Restrained 10 kN
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ENGR 211 Lecture 16 Fall 2007 Civil Engineering Elastic Flexure Formula
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This note was uploaded on 03/15/2009 for the course ENGR 211 taught by Professor Tona during the Spring '09 term at Oregon State.

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17.6_MofI_2 - ENGR 211 Lecture 16 Moment of Inertia part 2 Force Couple Compression Tension I Civil Engineering Definitions I x = y 2 dA = kx 2 A 2

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