Find the resultant of the two forces acting on the dam Locat

Find the resultant of the two forces acting on the dam. Locate where the line of action of the resultant passes through the bottom of the dam.

Rx = 44.1 kN ; Ry = - 150 kN

Resultant , R = sqrt(Rx^2 + Ry^2)

= sqrt( 44.1^2 + 150^2) = 156.35 Nt

calculating moment of forces

Righting moment : RM = 150( 4 - 1.5) = 375 Nt-mt

Overtunring Moment : OM = 44.1*1 = 44.1 Nt-mt

Moment at the base = RM - OM = 375 - 44.1 = 330.9 Nt-mt

Location of R_y as measured from the toe

150*x = 330.9

x = 2.206 mt