Question

3. (25%) Determine the equations of elastic curve for the cantilever beam of bending rigidity El using the coordinates X1 and x3, and find the slope and deflection at the free end B. B

Answer 1

the equation of elastic Curve can be obtained inteopreting twice the differenticu equatfon Answer CSCNIM A E1 ymax AS the Boundary condition for Cantilever beam shocon Sidely de-a dets tate moment about Sectfon X-X yey 3C Da 20t2 Mx- [a2q+e] ET dy che2 2 D both side tayke integration Cabe-qet2e -W E1 dy 2 -0T

B.C in ecjualicn No. CI If Put e C E 1 -F6 EI wa 3 wa A = GET AS wa3 CET EJ dy doe 50 that -wraeqe 3 EIY qe J 2 2-. 3 (2 At e = o, =o we ger C 2. ET gre3 2 2 3 12 a2x 2 -w equation of El4stic curre 2ET 2. 2. Put at R=a / a4 4 | a 3 2ET |2. 4af +af Caf 2ET 2 Faf 2EI (2 PET

So at free end C was ec ymays L-a CET Somax at free end B max yCt2 Yc CL-a O sinee Sine +CL-awa PET - L-au GET CL-a9 7 L-a