Question

Structural Analysis

For the load shown in the figure, determine
A) The equation of the elastic curve for the cantilever AB
B) The deflection at the free end
C) The slope at the free end.

PS: Determine the equations of slope and elastic curve by the DOUBLE INTEGRATION METHOD
PS: Calculate the slopes and deflections requested in each beam by the MOMENTAL AREA METHOD.

Answer 1

Double Integration method: mx = mo EJ dymo da² on integratt we get EI = mxtc, EIY = max² + carta At sa e, dy= a ac Molte, Ca - MOL At xid, y=0 o= Mol? – ML(L) +(2 on mol² – Malta mo BMD + n piagram * او I put EI dy = moramol EI Y = most? - motx +mo 22 do to get deflection & slope of see enda Eldy - - ML | slope (o)= -mol clockuse rotation EIY = m L2 Deflectionly) = more AC ZEI moment area methodi slepe (o) = area of a dragian Moy EI amol FI fixed and. reflection (a)= moment of area about & Molx 42 S = MOLL ZEI