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L17 - Exam II this Friday 2pm(March 28 In classroom DCC 324...

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Exam II this Friday 2pm (March 28) In classroom DCC 324 !!! Covers Chapters 4-6 (L9-L15) 1 page crib sheet- double sided (no worked-out problems) 4 problems Sample exam posted on blackboard

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Estimate stress graphically using Mohr’s circle For a known state of plane stress - plot center ( σ ave ) - plot point X ( σ x ,- τ xy ) - plot point Y ( σ y , τ xy ) - connect X and Y through C 2 2 2 2 x y x y ave xy R σ σ σ σ σ τ + = = + The principal stresses are obtained at A and B . max,min 2 tan 2 ave xy p x y R σ σ τ θ σ σ = ± = Mohr’s Circle for Plane Stress

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The three circles represent the normal and shearing stresses for rotation around each principal axis. min max max 2 1 σ σ τ = Radius of the largest circle yields the maximum shearing stress. Mohr’s Circle for Three-Dimensional Analysis of Stress