Chapter_2_solutions

# Chapter_2_solutions - Chapter 2 2-1 From Tables A-20 A-21...

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Chapter 2 2-1 From Tables A-20, A-21, A-22, and A-24c, ( a ) UNS G10200 HR: S ut = 380 (55) MPa (kpsi), S yt = 210 (30) Mpa (kpsi) Ans. ( b ) SAE 1050 CD: S ut = 690 (100) MPa (kpsi), S yt = 580 (84) Mpa (kpsi) Ans. ( c ) AISI 1141 Q&T at 540 C (1000 F): S ut = 896 (130) MPa (kpsi), S yt = 765 (111) Mpa (kpsi) Ans. ( d ) 2024-T4: S ut = 446 (64.8) MPa (kpsi), S yt = 296 (43.0) Mpa (kpsi) Ans. ( e ) Ti-6Al-4V annealed: S ut = 900 (130) MPa (kpsi), S yt = 830 (120) Mpa (kpsi) Ans. ______________________________________________________________________________ 2-2 ( a ) Maximize yield strength: Q&T at 425 C (800 F) Ans. ( b )Maximize elongation: Q&T at 650 C (1200 F) Ans. ______________________________________________________________________________ 2-3 Conversion of kN/m 3 to kg/ m 3 multiply by 1(10 3 ) / 9.81 = 102 AISI 1018 CD steel: Tables A-20 and A-5  3 370 10 47.4 kN m/kg . 76.5 102 y S Ans  2011-T6 aluminum: Tables A-22 and A-5 3 169 10 62.3 kN m/kg . 26.6 102 y S Ans Ti-6Al-4V titanium: Tables A-24c and A-5 3 830 10 187 kN m/kg . 43.4 102 y S Ans ASTM No. 40 cast iron: Tables A-24a and A-5.Does not have a yield strength. Using the ultimate strength in tension   3 42.5 6.89 10 40.7 kN m/kg 70.6 102 ut S Ans ______________________________________________________________________________ 2-4 AISI 1018 CD steel: Table A-5 6 6 30.0 10 106 10 in . 0.282 E Ans 2011-T6 aluminum: Table A-5 6 6 10.4 10 106 10 in . 0.098 E Ans Ti-6Al-6V titanium: Table A-5 Chapter 2 - Rev. D, Page 1/19

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 6 6 16.5 10 103 10 in . 0.160 E Ans  No. 40 cast iron: Table A-5 6 6 14.5 10 55.8 10 in . 0.260 E Ans ______________________________________________________________________________ 2-5 2 2( 1 ) 2 E G Gv E v G  From Table A-5 Steel:   30.0 2 11.5 0.304 . 2 11.5 vA n s Aluminum:   10.4 2 3.90 0.333 . 2 3.90 n s Beryllium copper:   18.0 2 7.0 0.286 . 27 .0 n s Gray cast iron:   14.5 2 6.0 0.208 . 26 n s ______________________________________________________________________________ 2-6 ( a ) A 0 = (0.503) 2 /4, = P i / A 0 For data in elastic range, = l / l 0 = l / 2 For data in plastic range, 00 000 11 ll A lll A  On the next two pages, the data and plots are presented. Figure ( a ) shows the linear part of the curve from data points 1-7. Figure ( b ) shows data points 1-12. Figure ( c ) shows the complete range. Note : The exact value of A 0 is used without rounding off. ( b ) From Fig. ( a ) the slope of the line from a linear regression is E = 30.5 Mpsi Ans. From Fig. ( b ) the equation for the dotted offset line is found to be = 30.5(10 6 ) 61 000 (1) The equation for the line between data points 8 and 9 is = 7.60(10 5 ) + 42 900 (2) Chapter 2 - Rev. D, Page 2/19
Solving Eqs. (1) and (2) simultaneously yields = 45.6 kpsi which is the 0.2 percent offset yield strength. Thus, S y = 45.6 kpsi Ans. The ultimate strength from Figure ( c ) is S u = 85.6 kpsi Ans. The reduction in area is given by Eq. (2-12) is  0 0 0.1987 0.1077 100 100 45.8 % . 0.1987 f AA R Ans A  Data Point P i l, A i 1 0 0 0 0 2 1000 0.0004 0.00020 5032 3 2000 0.0006 0.00030 10065 4 3000 0.001 0.00050 15097 5 4000 0.0013 0.00065 20130 6 7000 0.0023 0.00115 35227 7 8400 0.0028 0.00140 42272 8 8800 0.0036 0.00180 44285 9 9200 0.0089 0.00445 46298 10 8800 0.1984 0.00158 44285 11 9200 0.1978 0.00461 46298 12 9100 0.1963 0.01229 45795 13 13200 0.1924 0.03281 66428 14 15200 0.1875 0.05980 76492 15 17000 0.1563 0.27136 85551 16 16400 0.1307 0.52037 82531 17 14800 0.1077 0.84506 74479 ( a ) Linear range Chapter 2 - Rev. D, Page 3/19

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( b ) Offset yield ( c ) Complete range ( c ) The material is ductile since there is a large amount of deformation beyond yield. ( d ) The closest material to the values of S y , S ut , and R is SAE 1045 HR with S y = 45 kpsi, S ut = 82 kpsi, and R = 40 %. Ans. ______________________________________________________________________________ 2-7 To plot true vs.
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## This note was uploaded on 11/20/2011 for the course MCE 325 taught by Professor Ahm during the Spring '11 term at American Dubai.

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Chapter_2_solutions - Chapter 2 2-1 From Tables A-20 A-21...

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