Question

Styles 3. Assume that the major forces acting on the tall crane modeled in Fig. are coplanar. Force F on the right is normally vertical, but it may make an angle up to 5 with the verical. The other major loads are the counterweight P at the top left and the weight W of the vertical column whose centerline is the y axis. Determine the force-couple system acting at the base of the column for a given height L of the crcane, with F making a 5° angle with the vertical and acting in the xy plane as shown. 35 pts. I

Answer 1

0.45L 0.9L F pcos5 psin5

Fox = {F, = P+W+Fcos5° For = EF = Fsins Resultant of force R is given by R = VEF,*+9F; R = V(Fsin5º)? +(P+W+Fcos5°)? R is acting at angle O with horizontal

Taking moment about base o Clockwise moment is taken as postive EM, = 0.9L * Fcos5° +W*0+L * Fsin5º - P* ().45L = 0.9L * Fcos5° +L* Fsin5° - P*0.45L = L * (Fcos5° + Fsin5° - 0.45P)