Question

CTT For the loading shown, determine (a) the equation of the elastic curve for the cantilever beam AB, (b) the deflection at the free end, (c) the slope at the free end.

Answer 1

Solution is attached in images
Question Wo, B Sagging = the Hogging = - ve Akna Wol wote Ik - Ye Ye By using Super position Theorem. Town t-cie सकककककका -(i)) Wolm IUDL from. (i) & (al hot mis (12wo. n . TAA"- from Similar a n . 3 'All = won L Min = won.no from Double Integration method EI dry =- M = -(Mast min) | ED any » 120 - w.ma 20. dne El day dne - Worn? ž

2 24 By Integrating. O Er det q w, mely a w.mp3 +G Again Integrating. . EI- y = 2 we.us - wohl tante at Ca I Integzation constant from Boundary condition on cantilines Beam. at-TN=L] Slope =0 = dy zo at. 10=L] Deflection=07 y =o By Applying Boundary condition in o = 200. 141 - Wo. LB + C, an By applying Boundary condition in - 0=12400. - Wome + Woll +C2 162 to Woly C2 = 12 Wol4 24 18

(a) kequation af elastic cusue. from equation. (3). EI-Y = 420.. us - will +CintC2 За с = 11, с. = sul- 60 24 12 (b). y = EI [ 12.wo. ns - wine + wolen 757 Equation of Elartic (usue in tesim. of a Deflection at free end at free end. In=07 from Elastic cusue equation, when. 122=0 1 y = –? WOLY - Deflection at free end 120 EI on at free I slope at the free end from equation. ②. when = wd3 Eidy = 12 woont - woh taol For free end. Inzol an 12