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1288_Mechanics Homework Mechanics of Materials Solution

# 1288_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM 10 113 10.113 A steel column of 21-ﬁ effective length must carry a load of 82 kips with an ' eccentricity of 2.! in. as shown. Using the interaction method, select the wide-ﬂange shape of lZ-in. nominal depththat should be used. Use E = 29 x 10‘ psi, q= 36 ksi. and a... = 22 ksi in bending. SOLUTION 3mg: E = 29000 k'sf C; 5 )«Zeé'IE-E = ﬂigeao.) = 129.10 Lei. 2] ‘F+ r 252 l-Iﬂ. Le Trj w wuss v}: l.\$‘"lu'n E .- 1c3.c4 > C: 1T‘E _ ﬁzgzeoooz 6.”)CM‘I‘IN“. 2 L92 (IL/y)!— ' L"q2\Q‘3“4‘L "- 5.57 k5; .;___._E_ + Pec z sz + (saggy-12.5w A6,»,c...+m 1,. Gagging (Io.3)(5. s77 (235")(22) -«.- LHZ‘I + 0.471 = 1,60! (nor .uwei) Appmﬁmd‘e refuu‘rerr A = (1.5?6 300.33 = ‘l'6.‘4 in" T»! Wi2w50 r1: 1.95. in. if? .- 128.57 > Cc _, TI'E' . _ raga-9'0) _ _ 6.0)cw3w‘e ‘ 3.12(Le/r)"" (LQZ)(I28.57)" '- CL 07. k5! P _. 4 Fe. __ g2! (32)(?.1T(-'¢--I.2.H1 A 6395-4“ L SMJLML? : (IH.?)(19.0L) + (3cm )(221 = 0.618 + 0. I11 = 0.734 (JAM) Tr?) W IQXLID 9} "- LQS in L: 3' ﬂag 7 |30.§7 > Cc 772E Tr‘(2‘zooo) . . : —-——-*—---m---- : —-———-— ': 8. q . 6nd) chi-m. (l‘q2)(L‘/Gz) (|‘qz')(l30.57)1- 7 ks P + Pea. = 82 . + panama-um) A 6.1;, mm 1.. 6'... We; (”.2 ) (3.74) (anon 21) = 0.7% + 0.15: .— 0346 (diowea) «— -‘ Use “112qu ...
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