shi20396_ch03 - Chapter 3 3-1 From Table A-20 Sut = 470 MPa...

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3-1 From Table A-20 S ut = 470 MPa (68 kpsi), S y = 390 MPa (57 kpsi) Ans. 3-2 From Table A-20 S = 620 MPa (90 kpsi), S y = 340 MPa (49 . 5 kpsi) Ans. 3-3 Comparison of yield strengths: S of G10 500 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 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) 3-4 From Table A-21 1040 Q&T ¯ S y = 593 (86) MPa (kpsi) at 205 C (400 F) Ans. 3-5 From Table A-21 1040 Q&T R = 65% at 650 C (1200 F) Ans. 3-6 Using Table A-5, the speci±c 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 Ans. Ti-6Al-4V titanium: S y W = 140(10 3 ) 0 . 16 = 8 . 75(10 5 Ans. ASTM 30 gray cast iron has no yield strength. Ans. Chapter 3
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Chapter 3 41 3-7 The specifc 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 Ans. Ti-6Al-4V titanium: E W = 16 . 5(10 6 ) 0 . 16 = 1 . 03(10 8 Ans. Gray cast iron: E W = 14 . 5(10 6 ) 0 . 26 = 5 . 58(10 7 Ans. 3-8 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. Aluminum: ν = 10 . 4 2(3 . 90) 2(3 . 90) = 0 . 333 Ans. Beryllium copper: ν = 18 2(7) 2(7) = 0 . 286 Ans. Gray cast iron: ν = 14 . 5 2(6) 2(6) = 0 . 208 Ans. 3-9 0 10 0 0.002 0.1 0.004 0.2 0.006 0.3 0.008 0.4 0.010 0.5 0.012 0.6 0.014 0.7 0.016 0.8 (Lower curve) (Upper curve) 20 30 40 50 Stress P y A 0 kpsi Strain, e 60 70 80 E Y U S u 5 85.5 kpsi Ans. E 5 90 y 0.003 5 30 000 kpsi Ans. S y 5 45.5 kpsi Ans. R 5 (100) 5 45.8% Ans. A 0 2 A F A 0 5 0.1987 2 0.1077 0.1987 e 5 D l l 0 5 l 2 l 0 l 0 l l 0 52 1 A A 0 1
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42 Solutions Manual • Instructor’s Solution Manual to Accompany Mechanical Engineering Design 3-10 To plot σ true vs. ε , the following equations are applied to the data.
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shi20396_ch03 - Chapter 3 3-1 From Table A-20 Sut = 470 MPa...

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