1233_Mechanics Homework Mechanics of Materials Solution

1233_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 10.45 An axial load P is applied to the W10 x 30 rolled-steel column BC that is free PROBLEM 10.45 at its top C and fixed at its base B. Knowing that the eccentricity of the load is e = 0.5 in. and that for the grade of steel used a, = 36 ksi and E = 29 x 106 psi., determine (a) the magnitude of P of the allowable load when a lactor of safety of 2.4 with respect to permanent deformation is required, (b) the ratio of the load found in part a to the magnitude of the allowable centric load for the column. (See hint of Prob. 10.43.} SOLUTION mm 50 A: 8.84 m1 v‘J: 1.37 m. Q: g? , igg = 2.995% If ran an 90 in. la = 2L = 120 (v... I31. 363 3:0..5’ in ‘ . 7 c: _ §o.s)g2.¢iosz = 0.773? " ' (L37)l Using! Fgfl "3.24 -§ = 10.47 kg; 1" 7' (10.47%8. 3*: l e ta.) Usinq {he/40¢ 0P Sta-Feb 2‘4 ’- 2 29 3 16.13 ' \ Pee- : “7%; =- W = '47. .5- klPS Using “radar o'F Sacred-j Pm“ :5 -: 39. G {hips ”745' t 51.5 tale; a 2. 38. (b) ratio = Eff = 0.613 ...
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