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# HW - U The H ashemite niversity Facultyof Engineering i...

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no^"' k Z! L For the shown structure, draw the free body diagram of each element andfind the mamitude anddirection of each force. v O Z M n = o R"(*^)_ t.2 + R " = l ' 2 z Fx= ( 0 . 9 ) . c lanlo= 2.08 fN Kr/ 1 . 2 = l . 2 k M - (Fo)' = o => (R^), +aaP i2.o<,NN \ 2, h | \ - l r s \ 6 . 0 8 K N Z-Yy z C (R^), - R" 4 v (Ro)/ = 2 , 0 9 k N = 2 , h K M \ 2.h KN I R o = The Hashemite University Faculty of Engineering Mec hanic al E ngineer i ng D eparlment Machine Design I Fa 2005 Instruclor: Dr. Ala Hijazi o o + ( l. 2\'* ( z. oe)'

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2. Sketch the shear and moment diagrams for the shown beam andindicate the maximum values of the shear forceand bendine moment. Zfy =o =) 2.6 kN /}lo . f ) < - r u n - ' r l l l l o = u , -2 -lit"+ l(o.z) r [tt*o.t!(s.lr; l\" = 0.b55 ttt.t^ = /55 lv.h I i V^ot = 2.6 /N 75 Ib 3. R 1 - | -') Q(x\ = R,(x)-' - tla<x-2;'- go (x-h)o* 2 (r-o)' - 7 5 < x - c > - t + R , ( x - D t ) * 9 0 a ' 9 0 r - 7 Usingsingularity functions derive the expressions for the loading, shear force, andbending moment for the beam shown. Vtl = R, (x)" - tlo<x'zit-go (x-t:;' + +<r-tD' 1t-b7z - v51x -9)o + R, (x- to)' lVltr\= R,(x>' - t00<x-2>o-rye-D?+ ff<x-rf . #Q-b>3 <x- 6>l C - x - 751x-e>' * R, <x-,o>,
Locate the centroid ofthe shown section then flnd the moment of inertia ab6ii-iGneutral axis and (he oroduct of ineniiiilie v vkerc ^ T_ l 5 1 u Pe(. I 6 i n t 2 7 o- 4iD ,) neutral axis (QNn). i, €tr; Ai - v.75(5tr.s)* L(t+t)* o.s(?* " tAi (Sttt.il*(t*t\+0,tt) + A=5.!Zin / = > J y + h i l i = f +(5)(t.sf +(sttt.s)f ut-s,otfl L t 2 . f- t ,., , ,,3 , , !l\( 5.07 - l))? J * Lh(t)(b) rtr) -r r - t t - t r , t t . r T t t ) ( S . o l _ O . S ) ' J = * L / r \ t ) \ t ) + t : e /_ tl+?.OLin\ + 2h.97 + 62-9 q-= fiu^ l;la t' ' ':'@ F = b 0 a ?

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HW - U The H ashemite niversity Facultyof Engineering i...

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