02-07ChapGere.0004

02-07ChapGere.0004 - ¢ PL 2 EA 2 ≤ 1 PL 1 EA 1 R 5...

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SECTION 2.10 Stress Concentrations 163 Problem 2.10-5 Solve the preceding problem for a bar of monel metal having the following properties: d 1 5 1.0 in., d 2 5 1.4 in., L 1 5 20.0 in., L 2 5 5.0 in., and E 5 25 3 10 6 psi. Also, the bar lengthens by 0.0040 in. when the tensile load is applied. Solution 2.10-5 Round bar with upset ends E 5 25 3 10 6 psi d 5 0.0040in. L 1 5 20in. L 2 5 5in. Solve for P : P 5 d EA 1 A 2 2 L 2 A 1 1 L 1 A 2 d 5 2 ¢ PL 2 EA 2 1 PL 1 EA 1 5 0.2 in. R 5 radius of fillets Ê R 5 1.4 in. 2 1.0 in. 2 Use Fig. 2-65 for the stress-concentration factor. S UBSTITUTE NUMERICAL VALUES : Use the dashed curve in Fig. 2-65. K < 1.53 < 6100 psi s max 5 K s nom < (1.53)(3984 psi) R D 1 5 0.2 in. 1.0 in. 5 0.2 s nom 5 (0.0040 in.)(25 3 10 6 psi) 2(5 in.)( 1.0 1.4 ) 2 1 20 in. 5 3,984 psi 5 d E 2 L 2 ( d 1 d 2 ) 2 1 L 1 s nom 5 P A 1 5 d EA 2 2 L 2 A 1 1 L 1 A 2 5 d E 2 L 2 ( A 1 A 2 ) 1 L 1 L 1 d 1 = 1.0 in d 2 = 1.4 in. L 2 L 2 P P E 5 100GPa d 5 0.12mm L 2 5 0.1m L 1 5 0.3m Solve for P : Ê P 5 d EA 1 A 2 2 L 2 A 1 1 L 1 A 2 d 5 2
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Unformatted text preview: ¢ PL 2 EA 2 ≤ 1 PL 1 EA 1 R 5 radius of fillets 5 26 mm 2 20 mm 2 5 3 mm Use Fig. 2-65 for the stress-concentration factor: S UBSTITUTE NUMERICAL VALUES : Use the dashed curve in Fig. 2-65. K < 1.6 < 46 MPa s max 5 K s nom < (1.6)(28.68 MPa) R D 1 5 3 mm 20 mm 5 0.15 s nom 5 (0.12 mm)(100 GPa) 2(0.1 m)( 20 26 ) 2 1 0.3 m 5 28.68 MPa 5 d E 2 L 2 ( d 1 d 2 ) 2 1 L 1 s nom 5 P A 1 5 d EA 2 2 L 2 A 1 1 L 1 A 2 5 d E 2 L 2 ( A 1 A 2 ) 1 L 1 Solution 2.10-4 Round brass bar with upset ends L 1 d 1 = 20 mm d 2 = 26 mm L 2 L 2 P P 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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