The results are summarized in the table below and plotted on the next page. The last 5 points of data are used to plot log σ vs log ε | Chapter 3 3-1 From Table A-20 Sut 470 MPa 68 kpsi Sy 390 MPa 57 kpsi Ans. 3-2 From Table A-20 Sut 620 MPa 90 kpsi Sy 340 MPa kpsi Ans. 3-3 Comparison of yield strengths 620 Sut of G10500 HR is times larger than SAE1020 CD Ans. Syt of SAE1020 CD is times larger than G10500 HR Ans. From Table A-20 the ductilities reduction in areas show SAE1020 CD is 40 times larger than G10500 Ans. The stiffness values of these materials are identical Ans. Sut MPa kpsi Sy MPa kpsi Table A-20 Ductility R Table A-5 Stiffness 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 Sy 593 86 MPa kpsi at 205OC 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 specific strengths are UNS G10350 HR steel 2024 T4 aluminum Ti-6Al-4V titanium Sy 395 103 105 in a .s. W v 7 43 10 10 5 in Ans. W v 7 S 105 in Ans. W v 7 ASTM 30 gray cast iron has no yield strength. Ans. Chapter 3 41 3-7 The specific moduli are E 30 106 _ _8 . UNS G10350 HR steel 108 in Ans. W v 7 2024 T4 aluminum E 106 - - 108 in Ans. W v Ti-6Al-4V titanium E 106 E- 108 in Ans. W v 7 Gray cast iron E 106 107 in Ans. W 3-8 2G 1 V E V -- 2G From Table A-5 Steel 30 - 2 V 2 .304 Ans- - 2 _ Aluminum V Ans. 2 Beryllium copper 18 - 2 7 V -r-E Ans. 2 7 Gray cast iron - 2 6 V 7 Ans. 2 6 3-9 Su kpsi Ans. Sy kpsi Ans. E 90 30 000 kpsi Ans. A0 - Af - A _ R A ------------- 8 --------- 100 A e - ẸE Ẹ - 1 A0 - 1 0 1 0 A __I_I_I_L Lower curve Upper curve Strain 42 Solutions Manual Instructor s Solution Manual to Accompany Mechanical Engineering Design 3-10 To plot atrue vs. the following equations are applied to the data. n 2 2 A0 in2 Eq. 3-4 ln - for 0 AL