07-03ChapGere.0001

07-03ChapGere.0001 - D' D A ( u 5 0) 3000 psi 2 u p 1 2 u =...

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Problem 7.4-7 An element in pure shear is subjected to stresses t xy 5 3000 psi, as shown in the figure. Using Mohr’s circle, determine (a) the stresses acting on an element oriented at a counterclockwise angle u 5 70° from the x axis and (b) the principal stresses. Show all results on sketches of properly oriented elements. Solution 7.4-7 Pure shear 452 CHAPTER 7 Analysis of Stress and Strain y x O 3000 psi s x 5 0 s y 5 0 t xy 5 3000 psi (a) E LEMENT AT u 5 70 8 (All stresses in psi) 2 u 5 140 8 u 5 70 8 R 5 3000 psi Origin O is at center of circle. Point D : Point D 9 : t x 1 y 1 5 R sin 50 85 2298 psi s x 1 52 R cos 50 852 1928 psi t x 1 y 1 52 R sin 50 852 2298 psi s x 1 5 R cos 50 85 1928 psi (b) P RINCIPAL STRESSES Point P 1 : s 1 5 R 5 3000 psi Point P 2 : s 2 52 R 52 3000 psi u p 2 52 45 8 2 u p 2 52 90 8 u p 1 5 45 8 2 u p 1 5 90 8
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Unformatted text preview: D' D A ( u 5 0) 3000 psi 2 u p 1 2 u = 140 8 P 1 P 2 R R O s x 1 B ( u 5 90 8 ) t x 1 y 1 50 8 x O 2300 psi u 5 70 8 1930 psi 1930 psi y D D' x O u p 1 5 45 8 3000 psi 3000 psi y P 2 P 1 Problem 7.4-8 An element in pure shear is subjected to stresses t xy 5 2 16 MPa, as shown in the figure. Using Mohrs circle, determine (a) the stresses acting on an element oriented at a counterclockwise angle u 5 20 from the x axis and (b) the principal stresses. Show all results on sketches of properly oriented elements. y x O 16 MPa A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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