Unformatted text preview: 10.45 An axial load P is applied to the W10 x 30 rolledsteel 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 StaFeb 2‘4
’ 2 29 3 16.13 ' \
Pee : “7%; = W = '47. .5 klPS Using “radar o'F Sacredj Pm“ :5 : 39. G {hips ”745' t 51.5 tale;
a 2.
38. (b) ratio = Eff = 0.613 ...
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 Summer '10
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