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431_Mechanics Homework Mechanics of Materials Solution

# 431_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 4.170 The Z section shown is subjected to a couple Mo acting in a vertical plane. PROBLEM 4.170 Determine the largest permissible value of the moment MD of the couple ifthe maximum stress is not to exceed 80 MPa. Given: 1“ = 2.28 X 106 mm‘, [min = 0.23 X 10" mm“, principal axes 25.7° x and 64.3“ a. SOLUTION 2.2sxto‘m* = 2.28 no“ m” |b O.23*lo°mm" = 0.23 x IO" M MV 7 Mo --C"°-5 64.3“ M U = M9 6"}. 3 ° SM 6‘1. 3° -- —-——-——:~22*::‘: m D i * g) = 37.22” Pains A aw! 8 are -Far+lues+ ‘Pf‘awx He neul’m) axle, ”B ‘" 3’s °°~5 “34-3" + 7's 53" 693° = (— “Slows 613" +635) 5:“ 94.3 = usuos W v3 = ’ 2B (.95, sans” - j; swans" 2:: (-lecos em“ — (4535:4693 ‘-'-‘ -\- 25.37.. mm Ms: U8 M0 V8 : -- + 5% IV In a (M,Ce5 64.3“)C-5La5 no“) + {mm 01.3" )(2537 40") 80m) = — ileum“ 0-23 mo“ : 9381‘st M, M :1: M _— 733 N441 4‘ ° laml'rtoa ...
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