07-02ChapGere.0012

07-02ChapGere.0012 - u 5 60° from the x axis and(b the...

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Solution 7.4-4 Biaxial stress 450 CHAPTER 7 Analysis of Stress and Strain s x 52 60 MPa s y 5 20 MPa t xy 5 0 (a) E LEMENT AT u 5 22.5 8 (All stresses in MPa) 2 u 5 45 8 u 5 22.5 8 2 R 5 60 1 20 5 80 MPa R 5 40 MPa Point C : Point D : Point D 9 : t x 1 y 1 52 R sin 2 u 52 28.28 MPa s x 1 5 R cos 2 u 2 20 5 8.28 MPa t x 1 y 1 5 R sin 2 u 5 28.28 MPa s x 1 52 20 2 R cos 2 u 52 48.28 MPa s x 1 52 20 MPa (b) M AXIMUM SHEAR STRESSES Point S 1 : t max 5 R 5 40 MPa Point S 2 : t min 52 R 52 40 MPa s aver 52 20 MPa u s 2 52 45 8 2 u s 2 52 90 8 u s 1 5 45 8 2 u s 1 5 90 8 D' D A ( u 5 0) 40 2 u C S 1 S 2 R O ± x 1 B ( u 5 90 8 ) t x 1 y 1 2 u s 1 ( u 5 22.5 8 ) 20 20 60 R x O 28.28 MPa u 5 22.5 8 48.28 MPa 8.28 MPa y D D' x O 20 MPa u s 1 5 45 8 40 MPa 20 MPa 20 MPa y S 2 S 1 Problem 7.4-5 An element in biaxial stress is subjected to stresses s x 5 6000 psi and s y 52 1500 psi, as shown in the figure. Using Mohr’s circle, determine (a) the stresses acting on an element oriented at a counterclockwise angle
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Unformatted text preview: u 5 60° from the x axis and (b) the maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements. Solution 7.4-5 Biaxial stress y x O 1500 psi 6000 psi s x 5 6000 psi s y 5 2 1500 psi t xy 5 (a) E LEMENT AT u 5 60 8 (All stresses in psi) 2 u 5 120 8 u 5 60 8 2 R 5 7500 psi R 5 3750 psi Point C : s x 1 5 2250 psi D' D A ( u 5 0) 2250 60 8 2 u = 120 8 C S 1 S 2 R R O s x 1 B ( u 5 90 8 ) t x 1 y 1 30 8 1500 6000 ( u 5 60 8 ) A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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This note was uploaded on 09/20/2009 for the course COE 3001 taught by Professor Armanios during the Spring '08 term at Georgia Tech.

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