1025_Mechanics Homework Mechanics of Materials Solution

1025_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM 9 15 9.15 Knowing that beam AE is an S200 X 27.4 rolled shape and that P = 17.5 kN, L = ' 2.5 m, a = 0.8 m and E = 200 GPa, determine (a) the equation of the elastic curve for portion BD, (1;) the deflection at the center C of the beam. SOLUTION Consider Forh'ou ABC 0"ng and Canada” Slemmefl'v‘j 9-10an C. Reco'ffons RA = R2 : ‘P $13.. Boundqra ancj;+l‘uns: EK:O>J=O-1) [X=a) jest/3) Ex: 552%,. 1) Ex:%‘ 0<¢o<a o,¢x,4L-a 2‘ 4'2 _. - Eli—5*: M’ P“ Elm-IE. - M - Pa. Eli-,1 .- %Px‘ +C. (a) EPasrc Curve 4%.» parh‘w 31) J = éfifléPax‘ 4 Csx + Cfl = {if (we “gem, ”in“ 4 FM~ oleWeo’n'a-a 0:} C se‘f x = % y; = 3%(é0-L1‘fio-Ll“ éa’) = ~§ (§L‘—éa‘) Dakar: I =' 23.‘i¥l0‘mm|* = 233x10“ m” J E -= 2003401 R; 9 = 17-.5xto’ NJ L = 23m o. = 0.3»: Lb) — - (‘7'5"'°°‘(°'3‘ { 2.5‘ _ 0.2‘} = — 1.97; no" In .Yc’ (200n10‘)i23.qxto‘) ‘8 G ya = L97; MM L "I ..... ...
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