9-19: for the beam and loading shown , determine the reaction at the roller support solution:EIV^4=WELV^3=WX+C1EIV^2=WX^2/2+C1X+C2EIV'=WX^3/6+C1X^2/2+C2X+C3EIV=WX^4/24+C1X^3/6+C2x^/2+C3X+C4AT X=0 V=0C4=0V'=0 C3=0X=L V=0WL^4/24+C1L^3/6+C2L^2/2=0M=EIV''=WL^2/2+C1L+C2=0WL^2/24+C1L/6+C2/2=0c1= -5WL/8C2=WL^2/8EIV'''=WX-5WL/8RB=WL-5WL/8RB=3WL/8
solution:EIV^4=WELV^3=WX+C1EIV^2=WX^2/2+C1X+C2EIV'=WX^3/6+C1X^2/2+C2X+C3EIV=WX^4/24+C1X^3/6+C2x^/2+C3X+C4AT X=0 V=0C4=0V'=0 C3=0 X=L V=0 WL^4/24+C1L^3/6+C2L^2/2=0 M=EIV''=WL^2/2+C1L+C2=0WL^2/24+C1L/6+C2/2=0c1= -5WL/8C2=WL^2/8 EIV'''=WX-5WL/8RB=WL-5WL/8RB=3WL/8