Middle East Technical University
(North Cyprus Campus)
Department of Aerospace Engineering
Quiz -1: Statics (ASE 261)
Date and time:
Name and surname:
Student ID Number:
A couple of magnitude M=54 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 force intersects line
AB and BC.
(Note that the intersection points along AB and BC can be considered as locations
that the given system of forces and couple can be replaced with only a single
resultant force.)
(Points: 5 out of 100)
y
x
Solution:
We have
2 points
First reduce the given forces and couple to an equivalent force couple system at a point, namely
B.
1 points
Now Move the load to a point D on the AB line where no couple
exists
R sin 28  a  M
M
186
a

 11.65
R sin 28 34sin 28
in
1 point
Similarly for the intersection point along BC, we have
R cos 28  b  M
M
186
b

 6.2
R sin 28 34 cos 28
1 point
in