ME85-Lecture31

ME85-Lecture31 - RR Week Schedule Example Mohr’s Circle...

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Unformatted text preview: RR Week Schedule Example: Mohr’s Circle for Plane Stress • Mohr’s circle for centric axial loading: • Mohr’s circle for torsional loading: J Tc xy y x = = = τ σ σ = = = xy y x J Tc τ σ σ , = = = xy y x A P τ σ σ A P xy y x 2 = = = τ σ σ Example 14.2 For the state of plane stress shown, (a) construct Mohr’s circle, determine (b) the principal planes, (c) the principal stresses, (d) the maximum shearing stress and the corresponding normal stress. SOLUTION: • Construction of Mohr’s circle ( ) ( ) ( ) ( ) MPa 50 40 30 MPa 40 MPa 30 20 50 MPa 20 2 10 50 2 2 2 = + = = = = − = = − + = + = CX R FX CF y x ave σ σ σ Example 14.2 • Principal planes and stresses 50 20 max + = + = = CA OC OA σ MPa 70 max = σ 50 20 min − = − = = BC OC OB σ MPa 30 min − = σ ° = = = 1 . 53 2 30 40 2 tan p p CP FX θ θ ° = 6 . 26 p θ Example 14.2 • Maximum shear stress ° + = 45 p s θ θ ° = 6 . 71 s θ R = max τ MPa 50 max = τ ave σ σ = ′ MPa 20 = ′ σ Sample Problem 14.2Sample Problem 14....
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This note was uploaded on 01/21/2012 for the course C 85 taught by Professor Papadopoulos during the Spring '08 term at Berkeley.

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ME85-Lecture31 - RR Week Schedule Example Mohr’s Circle...

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