Budynas ch02

# Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)

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2-1 From Table A-20 S ut = 470 MPa (68 kpsi), S y = 390 MPa (57 kpsi) Ans. 2-2 From Table A-20 S ut = 620 MPa (90 kpsi), S y = 340 MPa (49 . 5 kpsi) Ans. 2-3 Comparison of yield strengths: S ut of G10500 HR is 620 470 = 1 . 32 times larger than SAE1020 CD Ans. S yt of SAE1020 CD is 390 340 = 1 . 15 times larger than G10500 HR Ans. From Table A-20, the ductilities (reduction in areas) show, SAE1020 CD is 40 35 = 1 . 14 times larger than G10500 Ans. The stiffness values of these materials are identical Ans. Table A-20 Table A-5 S ut S y Ductility Stiffness MPa (kpsi) MPa (kpsi) R % GPa (Mpsi) SAE1020 CD 470(68) 390 (57) 40 207(30) UNS10500 HR 620(90) 340(495) 35 207(30) 2-4 From Table A-21 1040 Q&T ¯ S y = 593 (86) MPa (kpsi) at 205 C (400 F) Ans. 2-5 From Table A-21 1040 Q&T R = 65% at 650 C (1200 F) Ans. 2-6 Using Table A-5, the specific strengths are: UNS G10350 HR steel: S y W = 39 . 5(10 3 ) 0 . 282 = 1 . 40(10 5 ) in Ans. 2024 T4 aluminum: S y W = 43(10 3 ) 0 . 098 = 4 . 39(10 5 ) in Ans. Ti-6Al-4V titanium: S y W = 140(10 3 ) 0 . 16 = 8 . 75(10 5 ) in Ans. ASTM 30 gray cast iron has no yield strength. Ans. Chapter 2

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Chapter 2 7 2-7 The specific moduli are: UNS G10350 HR steel: E W = 30(10 6 ) 0 . 282 = 1 . 06(10 8 ) in Ans. 2024 T4 aluminum: E W = 10 . 3(10 6 ) 0 . 098 = 1 . 05(10 8 ) in Ans. Ti-6Al-4V titanium: E W = 16 . 5(10 6 ) 0 . 16 = 1 . 03(10 8 ) in Ans. Gray cast iron: E W = 14 . 5(10 6 ) 0 . 26 = 5 . 58(10 7 ) in Ans. 2-8 2 G (1 + ν ) = E ν = E 2 G 2 G From Table A-5 Steel: ν = 30 2(11 . 5) 2(11 . 5) = 0 . 304 Ans.
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