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508_Mechanics Homework Mechanics of Materials Solution

# 508_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: mmﬂL—j {TEST—1m (”:1 f1— "E, f9 , 1.: PROBLEM 5.23 \$230534? beam and loading shown, detmnﬂ the maximum nonnai stress on : SOkN 50m 50m 30 RN SOLUTION ( ii Bj Symmetry A = B 2 ”25:0 A=8=~ 30m =1 05inj IPC‘H' ha}; 6P beam 05 {7‘93 bod), 5} :1 ‘02 M: =_ o I: —C8o)(a) + (30)(I.a)+(5'o)(o.«f) + M -.- o I? '=- IO"! kN-m 1' 101-} HO" N. m llé: For W250 V 67 S : goq ,. :03 hm‘ ‘i = 80‘? y lo“ M: Nor-mash.” 6234—-M _ 23c ‘1, _ .— S ‘ 801x104- - I . Ho 6. -128.GMPa_ «I '5 1E: 5.24 F 1h beam ' - . ”:5 PROBLEM 5'24 bendingronea trans 33:23:39,333“! determme the maximum normal stress due to ‘ :ﬁ F 30161;): 30341133 .. SOLUTION Is. ire begun as ‘Pwee Bod] “£5 E 92M: = O |% - \SA + (12.5)(303 +(Io)(ao) + (e)<7.s)(s.7s) = o A = 56.25 ks‘Ps Use por+ion AC 05 Free body _ M A 2) 132M: =o -c56.25)(2.53 + M 2 o sséj’ v Bending Momen‘} a c M 140425 KPH ' 1437.5 k.‘P.,'.,‘ ii For WISH; 5-.- ms ;,,3 ‘ m , , _ _‘~_4__ [687.5 3.35 Norm)? Ares. G - S . In; ﬁg fa ...
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