600_Mechanics Homework Mechanics of Materials Solution

600_Mechanics Homework Mechanics of Materials Solution - .1...

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Unformatted text preview: .1 ngJ [..“.J ELVJI A s [‘1 L4] PROBLEM 5 l 23 5.123 and 5.124 (:2) Using singularity fimctions, find the magnitude and location of the ' maximum bending moment for the beam and loading sham (b) Determine the maximum normal stress due to bending. SOLUTION --~ -:__-.=r-Dstaox150 +9140 2 O ...t (macs)— 595 + (Mamie) = 93’ Ho kN w= 80(X-2>°1«N‘/m = edV/Jx - Io + HO<x-l>' - 80<x—2)' W = I30 In) V= —Io+ Ho — 80(4)= —Ho IN arm? 0% Fol‘n‘f‘ E (erg) be+we<n Cum-1 D. —to 4 Ho (Kg—V). '— 80(x,-2)' —lo +140 - SOCKE-Z) Xs= 3.;25 m M: —le + Ho<x-I>' -HD<X-2>z kN-M A’r Pt B X: I Pig-100303 v - Io kN‘M M pi E X: 3.625 = ~Oo)(3.czs)+(Howaezs)—(Lto)(:.ezs)‘ = mate kMM IM\....., 2 225.6 kNom :21“ x: 3.515 m For w 530 x :50 s = sue a :o’ m3 -.~ 3720 Ho" m‘ Normal shess - ‘ 60.6v :0‘ Pa 60.6 MPG. ...
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