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1339_Mechanics Homework Mechanics of Materials Solution

1339_Mechanics Homework Mechanics of Materials Solution - l...

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Unformatted text preview: l 1.43 The state of stress shown occurs in a machine component made of a grade PROBLEM 11-43 of steel for which a, = 65 ksi. Using the maximum-distortion-encrg criterion, determine the range of values of 0;, for which the factor of safety associated with the yield strength is equal to or larger than 2.2. SOLUTION x ‘3 k5; H '5" 6;“ = fi (0 4" 83 = ‘4 Its? 65-61 = £19 —_- q ks; Z 2 2 {in = I"! ksi R= 1/(6-—-;§*)‘+ 2’»? =4 41+ H“ = 14-54 kg.- Gm: 6N:"‘ R = 18.56 ksi 6!: 1' 6;" " R ‘- - l0.56 k5; 6: '-' 6': :. 6' z (GEL—6..)z + (6,,— 6;) + (64.61): = 2kg... (1856+ I056); + (-lO.5é-— 63,)2 + (63 -1356)" = 259% )" 847°” * ("’°5’*2‘-"2 5x + @‘DWGQ‘ 37"“3 4 3W4? . :7q5'.87 263"— 166;, - 441.612. = o M _ 3 ' (2m 6:} = 19.3‘? km. J — “.3? k5; —-ll.3? ksf :5 63 s 161.3? ks; ih i__.~ ...
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