1283_Mechanics Homework Mechanics of Materials Solution

1283_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 10.107 A compression member made of steel has a 720mm: efiective length and PROBLEM 10'1“ must Support the l98-kN load 1’ as shown. For the material used as, = 250 MPa and E = 200 GPa. Using the interaction method with an allowable bending stress equal to 150 MPa, determine the smallest dimension d of the cross section that elm be used. 10.108 Solve Prob. 10.107, assuming that the effective length is 1.62 m and that the magnitude P of the eccentric load is 128 kN. SOLUTION Uea‘ha Al‘memsi‘oms Em \Me‘l‘ers A = #oxlo'z’ 59 La =' LGZ m I, = 75: 40v/o")3ol r 5.3333><:0“ J I: = 1a (Llano-Ur = 3-3333 x Io“ A” 131: 20 m: 2mm" m led: :8 m = 18x10" m 61; = 250 MPa E=Qooooo HPA = 125266 Then IN" :- Ix =1L5'47uo‘3M i-fi: 140.24 > cc 2 2 11 E _ 1T gzooooo) ‘__ 52,23; MP0» Game-“4'“ 2 [32(1, /r]"' — (|.‘?7~l(l‘io.2‘n" P + Jim!— = 1 Ass)...” Ids-Awe maxco‘ «.- (mauo‘)(tswxd‘)(*=‘) Mario" 4 )(5‘2.23¢ Mo‘) (sesame? J$)(I50x;o°) .. | .. al.260wto" + 2.30‘1Wo" : 1 el ol" d2 — GLZGOXlOJJ -~ 2.30?»[0J = C) d3 = %{ $1.240 x;o"+ ($1,260,153? +(qic2.3owo-5) 1 = 37.6 HQ“ in -> ‘lo :40” m 0' = 81$ MM ...
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