Equilibrium Equations: - TeachEngineering
Static Problems Worksheet Answers
Equilibrium Equations:
( Fx = 0 (1) ( Fy = 0 (2) ( M = 0 (3)
1. Determine force F and the reaction force RA that satisfy the equilibrium equations
for the following beam:
Step 1. Draw a free-body diagram of the beam:
F 10 N
ReactionA
Step 2. Using Equation (3), determine the force F:
ΣMA = F*2 – 10*5 = 0
2F = 50
F = 25 N
Step 3. Using Equation (2), determine the force RA:
ΣFy = RA – F – 10 = 0
RA = F + 10
RA = 35 N
2. Given the diagram below, determine the load CW and RA:
Step 1. Draw a free-body diagram of the entire crane:
CW WB 80 N
ReactionA
Step 2. Using Equation (3), determine the force CW:
ΣMA = CW*10 – WB*10 – 80*25 = 0
10CW = 10*5 + 80*25
CW = 205 N
Step 3. Using Equation (2), determine the force RA:
ΣFy = RA – CW – WB – 80 = 0
RA = CW + WB + 80
RA = 290 N
-----------------------
5 m
2 m
F
10 N
A
15 m
WB = 5 N
A
WB
10 m
10 m
80 N
CW
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