07-03ChapGere.0004 - b 5 70 8 2 a 5 44.36 8 a 5 arctan 36...

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SECTION 7.4 Mohr’s Circle for Plane Stress 455 Data for 7.4-11 s x 5 4500 psi, s y 5 14,100 psi, t xy 52 3100 psi, u 52 55° Solution 7.4-11 Plane stress (angle u ) s x 5 4500 psi s y 5 14,100 psi t xy 52 3100 psi u 5 2 55 8 (All stresses in psi) a 5 arctan 3100 4800 5 32.86 8 R 5 Ï (4800) 2 1 (3100) 2 5 5714 psi b 5 180 82 110 8 2 a 5 37.14 8 Point D ( u 5 2 55 8 ): Point D 9 ( u 5 35 8 ): t x 1 y 1 5 R sin b 5 3450 psi s x 1 5 9300 2 R cos b 5 4750 psi t x 1 y 1 52 R sin b 52 3450 psi s x 1 5 9300 1 R cos b 5 13,850 psi D' D ( u 5 0) A 2 u 5 ] 110 8 R R R s x 1 ( u 5 90 8 ) ( u 5 ] 55 8 ) t x 1 y 1 3100 B 9300 4500 14,100 C O 4800 a b 3100 x O 13,850 psi u 5 ] 55 8 3450 psi 4750 psi y D D' Data for 7.4-12 s x 52 44 MPa, s y 52 194 MPa, t xy 52 36 MPa, u 52 35° Solution 7.4-12 Plane stress (angle u ) s x 52 44 MPa s y 52 194 MPa t xy 52 36 MPa u 5 2 35 8 (All stresses in MPa)
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Unformatted text preview: b 5 70 8 2 a 5 44.36 8 a 5 arctan 36 75 5 25.64 8 R 5 (75) 2 1 (36) 2 5 83.19 MPa Point D ( u 5 2 35 8 ): Point D 9 ( u 5 55 8 ): t x 1 y 1 5 2 R sin b 5 2 58.2 MPa s x 1 5 2 119 2 R cos b 5 2 178.5 MPa t x 1 y 1 5 R sin b 5 58.2 MPa s x 1 5 2 119 1 R cos b 5 2 59.5 MPa D' D A ( u 5 0) 2 u 5 ] 70 8 R R R s x 1 ( u 5 90 8 ) ( u 5 ] 35 8 ) t x 1 y 1 36 36 b B 119 194 C 75 O 44 a x O 59.5 MPa u 5 ] 35 8 58.2 MPa 178.5 MPa y D' D 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 Institute of Technology.

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