Chapter_5_Solutions

Chapter_5_Solutions - Chapter 5 5-1 S y = 350 MPa. MSS: 1 3...

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Chapter 5 5-1 S y = 350 MPa. MSS: 1 3 = S y / n  13 y S n DE:   1/2 1/2 22 3 AA BB xx yy x y   2 y S n (a) MSS: 1 = 100 MPa, 2 = 100 MPa, 3 = 0 350 3.5 . 100 0 nA  n s DE: 1 / 2 350 (100 100(100) 100 ) 100 MPa, 3.5 . 100 n s (b) MSS: 1 = 100 MPa, 2 = 50 MPa, 3 = 0 350 3.5 . 100 0 n s DE: 1 / 2 350 (100 100(50) 50 ) 86.6 MPa, 4.04 . 86.6 n s (c) 2 2 100 100 , ( 75) 140, 40 MPa AB      12 3 0, 40 MPa MSS: 350 1.94 . 140 ( 40)  n s DE: 1/2 350 100 3 75 164 MPa, 2.13 . 164    n s (d) 2 2 50 75 50 75 , ( 50) 11.0, 114.0 MPa  3 11.0, 114.0 MPa MSS: 350 3.07 . 0 ( 114.0) n s DE: 2 1 / 2 [( 50) ( 50)( 75) ( 75) 3( 50) ] 109.0 MPa     350 3.21 . 109.0 n s (e) 2 2 100 20 100 20 , 20 104.7, 15.3 MPa Chapter 5-Rev B, Page 1/55
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12 3 104.7, 15.3, 0 MPa   MSS: 350 3.34 . 104.7 0 nA n s DE:  1/2 2 22 100 100(20) 20 3 20 98.0 MPa    350 3.57 . 98.0 n s ______________________________________________________________________________ 5-2 S y = 350 MPa. MSS: 1 3 = S y / n 13 y S n DE: 1/2 yy AA BB SS n n  (a) MSS: 350 100 MPa, 0 3.5 . 100 0 n s DE: 1 / 2 350 3.5 . [100 (100)(100) 100 ]  n s (b) MSS: 350 100 , 100 MPa 1.75 . 100 ( 100)  n s DE: 1/2 2 2 350 2.02 . 100 (100)( 100) 100 n s (c) MSS: 350 0 3.5 . 100 0 n s DE: 1/2 350 4.04 . 100 (100)(50) 50 n s (d) MSS: 350 100, 50 MPa 2.33 . 100 ( 50) n s DE: 1/2 2 2 350 2.65 . 100 (100)( 50) 50 n s ( e ) MSS: 350 0, 100 MPa 3.5 . 0 ( 100) n s DE:   1/2 350 4.04 . 50 ( 50)( 100) 100 n s ______________________________________________________________________________ 5-3 From Table A-20, S y = 37.5 kpsi Chapter 5-Rev B, Page 2/55
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MSS: 1 3 = S y / n  13 y S n DE:   1/2 1/2 22 3 AA BB xx yy x y   2 y S n (a) MSS: 37.5 25 kpsi, 0 1.5 . 25 0 nA  n s DE: 1/2 37.5 1.72 . 25 (25)(15) 15    n s (b) MSS: 37.5 15 kpsi, 15 1.25 . 15 ( 15)  n s DE: 1/2 2 2 37.5 1.44 . 15 (15)( 15) 15 n s (c) 2 2 20 20 , ( 10) 24.1, 4.1 kpsi AB     12 3 24.1, 0, 4.1 kpsi MSS: 37.5 1.33 . 24.1 ( 4.1) n s DE: 1/2 37.5 20 3 10 26.5 kpsi 1.42 . 26.5   n s (d) 2 2 12 15 12 15 , ( 9) 17.7, 14.7 kpsi 3 17.7, 14.7 kpsi MSS: 37.5 1.16 . 17.7 ( 14.7) n s DE: 1/2 2 ( 12) ( 12)(15) 15 3( 9) 28.1 kpsi   37.5 1.33 . 28.1 n s (e) 2 2 24 24 24 24 , 15 9, 39 kpsi 3 9, 39 kpsi MSS: 37.5 0.96 . 03 9 n s Chapter 5-Rev B, Page 3/55
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DE:  1/2 22 2 24 24 24 24 3 15 35.4 kpsi        37.5 1.06 . 35.4 nA  n s ______________________________________________________________________________ 5-4 From Table A-20, S y = 47 kpsi. MSS: 1 3 = S y / n 13 y S n DE: 1/2 yy AA BB SS n n   (a) MSS: 47 30 kpsi, 0 1.57 . 30 0 n s DE: 1 / 2 47 1.57 . [30 (30)(30) 30 ]  n s (b) MSS: 47 30 , 30 kpsi 0.78 . 30 ( 30)  n s DE: 1/2 2 2 47 0.90 . 30 (30)( 30) 30 n s (c) MSS: 47 30 kpsi, 0 1.57 . 30 0 n s DE: 1/2 47 1.81 . 30 (30)(15) 15 n s (d) MSS: 47 0, 30 kpsi 1.57 . 0 ( 30) n s DE:   1/2 47 1.81 . 30 ( 30)( 15) 15 n s ( e ) MSS: 47 10, 50 kpsi 0.78 .
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This note was uploaded on 03/07/2012 for the course MAE 3090 taught by Professor Dr.yang during the Spring '10 term at FIT.

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Chapter_5_Solutions - Chapter 5 5-1 S y = 350 MPa. MSS: 1 3...

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