07-03ChapGere.0006 - Show all results on sketches of...

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Data for 7.4-15 s x 52 5750 psi, s y 5 750 psi, t xy 52 2100 psi, u 5 75° SECTION 7.4 Mohr’s Circle for Plane Stress 457 Solution 7.4-15 Plane stress (angle u )) s x 52 5750 psi s y 5 750 psi t xy 52 2100 psi u 5 75 8 (All stresses in psi) b 5a ± 1 ± 30 8 5 62.87 8 Point D ( u 5 75 8 ): Point D 9 ( u 5 2 15 8 ): t x 1 y 1 52 R sin b 52 3444 psi s x 1 52 2500 2 R cos b 52 4265 psi t x 1 y 1 5 R sin b 5 3444 psi s x 1 52 2500 1 R cos b 52 735 psi a 5 arctan 2100 3250 5 32.87 8 R 5 Ï (3250) 2 1 (2100) 2 5 3869 psi ( u 5 0) 30 8 C O R b B ( u 5 90 8 ) s x 1 a 2500 t x 1 y 1 D' ( u 5 2 15 8 ) 2100 A 3250 2 u 5 150 8 2100 R 750 Point D : u 5 75 8 5750 D y x D' D O 3444 psi 735 psi 4265 psi u 5 75 ° Problems 7.4-16 through 7.4-23 An element in plane stress is subjected to stresses s x , s y , and t xy
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Unformatted text preview: Show all results on sketches of properly oriented elements. y x O t xy s x s y Data for 7.4-16 s x 5 2 31.5 MPa, s y 5 31.5 MPa, t xy 5 30 MPa Solution 7.4-16 Principal stresses s x 5 2 31.5 MPa s y 5 31.5 MPa t xy 5 30 MPa (All stresses in MPa) a 5 arctan 30 31.5 5 43.60 8 R 5 (31.5) 2 1 (30.0) 2 5 43.5 MPa 30 B ( u 5 90 8 ) 30 30 31.5 ( u 5 0) A S 2 R O 31.5 a 2 u P 1 s x 1 t x 1 y 1 2 u s 1 S 1 P 1 31.5 P 2 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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