APSC 180 Final Review
Session
Force Equilibrium
Answer:
𝑠 = 6.67 𝑖𝑛
2
Moment About an Axis
Determine the coordinate direction angles
of F such that:
A. The moment about a-a is maximum
B. The moment about a-a is zero
(Hint: Use the scalar formulation)
Answers (There are more than one):
A. α = 33.7, β = 90, γ = 56.3
B. α = 56.3, β = 90, γ = 146.3
3
Moment of a Couple
Find a force N such that the resultant
moment acting on the system is zero.
Answer:
𝑁 = 25.98 𝑁
4
Force Simplification
Replace the vertical forces with an equivalent
force on the plane. State the position of the force
relative to the origin.
Assume:
𝐹1 = 50𝑘𝑁
𝐹2 = 40𝑘𝑁
Answer:
𝐹 = −160𝑘෠ 𝑘𝑁 @ (5, 7.63)
5
Force Simplification 2
Answer:
𝐹 = 53.3 𝑁
6
Distributed Load
Answer:
𝐹 = 1866.67 𝑙𝑏
𝑥 = 1.51 𝑓𝑡
7
Rigid Body Equilibrium
The smooth pipe rests on the wall at the
points of contact A, B, and C.
Determine the reactions at the smooth points
of contact needed to support the vertical
force of 50lb.
Answer:
𝐴 = 28.87 𝑙𝑏
𝐵 = 13.27 𝑙𝑏
𝐶 = 71.01 𝑙𝑏
8
Method of Sections (Trusses)
Determine the reactions in members
DC, CH, and HI. State whether each
member is in tension or compression.
Answer:
DC = 125 𝑘𝑁 (𝐶)
CH = 100 𝑘𝑁 (𝑇)
HI = 42.5 𝑘𝑁 (𝑇)
9
Friction
Answer:
𝜃 = 21.8°
10