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PROBLEM 3.113
A truss supports the loading shown. Determine the
equivalent force acting on the truss and the point of
intersection of its line of action with a line drawn through
Points A and G.
PROBLEM 3.114
A couple of magnitude M = 80 lb·in. and the three forces shown are
applied to an angle bracket. (a) Find the resultant of this system of
forces. (b) Locate the points where the line of action of the resultant
intersects line AB and line BC.
PROBLEM 3.115
A couple M and the three forces shown are applied to an angle
bracket. Find the moment of the couple if the line of action of the
resultant of the force system is to pass through (a) point A, (b) point
B, (c) point C.
PROBLEM 3.116
A machine component is subjected to the forces and
couples shown. The component is to be held in place by a
single rivet that can resist a force but not a couple. For
P = 0, determine the location of the rivet hole if it is to be
located (a) on line FG, (b) on line GH.
PROBLEM 3.117
Solve Problem 3.116, assuming that P = 60 N.
PROBLEM 3.116 A machine component is subjected to
the forces and couples shown. The component is to be held
in place by a single rivet that can resist a force but not a
couple. For P = 0, determine the location of the rivet hole
if it is to be located (a) on line FG, (b) on line GH.
PROBLEM 3.118
As follower AB rolls along the surface of member C, it exerts
a constant force F perpendicular to the surface. (a) Replace
F with an equivalent force-couple system at Point D
obtained by drawing the perpendicular from the point of
contact to the x-axis. (b) For a = 1 m and b = 2 m, determine
the value of x for which the moment of the equivalent force-
couple system at D is maximum.
4 22
4
a bx
PROBLEM 3.118 (Continued)
dM
PROBLEM 3.119
A machine component is subjected to the forces shown, each
of which is parallel to one of the coordinate axes. Replace
these forces with an equivalent force-couple system at A.
PROBLEM 3.120
Two 150-mm-diameter pulleys are mounted
on line shaft AD. The belts at B and C lie in
vertical planes parallel to the yz-plane.
Replace the belt forces shown with an
equivalent force-couple system at A.
PROBLEM 3.121
As an adjustable brace BC is used to bring a wall into plumb,
the force-couple system shown is exerted on the wall. Replace
this force-couple system with an equivalent force-couple system
at A if
21.2 lbR=
and
13.25 lb · ft.M=
