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917_Mechanics Homework Mechanics of Materials Solution

917_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 8.1 An overhanging W250 X 58 rolled-steel beam supports two loads as shown. PROBLEM 8.2 Knowing that P = 400 kN, a = 0.25 m, and can = 250 We, determine (a) the maximum value of the normal stress 0,,r in the beam, (b) the maximum value of the principal stress am at the junction of aflange and the web, (c) whether the specified shape is acceptable as far as these two stresses are ccncemed.. 8.2 Solve Prob. 8.1, assuming that P = 200 RN and a = 0.5 m. NIM = Zoo w = memo3 N ”‘4‘...” '-' CROOVIOSXO£3 ‘= IOCZH‘t’O3 N-w: For W250¥58 Poijeol 5+9?) Star/Hort 0' T 252 MM be?“ 203 MM t]: = I3.$mm. “by? 3.0 mm If" 37.3HO‘MM" Sg= 6633‘3103 MM: c = 3‘»! = nae m.» 3.; c-ZF:112.5mm 3 (a) shtLflL-m s £01914 : yap-L3 «(0‘ Pa 5* “”0 =mq.3 MPa. 4 mloo m.» 63.“ eggs; r %g(m.33 ? l28.2‘+ M90. Ap ht; = (203)(':3.5) = 27405 W} 5!; -‘ $102+ 34,) = 1163.73 m. Q“ Ad? .— 326-80x103m‘ = 326. 20x10" M3 W-IWQL :eoowos 326.80xto“) 21g ‘: .............__ - _ - 3-6 0‘ P = 4115 MP4 I. t.» (37.3K10“)(3 x 10-3 3 q H a, 6' R UK?” + '11; = |13-c3 MPq e; _ 4 (lo) 61...“: {+12 — 172.0 MP“ (G) Since. 6‘...“ 4 250 "4.361.) 'W 250'53 is Maggigfi’g "" ...
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