For a truss with a total load of 12 kN applied at joint C, what is the force in
Practice Questions
Q1
For a truss with a total load of 12 kN applied at joint C, what is the force in member AC if the truss is in equilibrium?
6 kN
12 kN
0 kN
8 kN
Questions & Step-by-Step Solutions
For a truss with a total load of 12 kN applied at joint C, what is the force in member AC if the truss is in equilibrium?
Step 1: Understand that a truss is a structure made of members connected at joints.
Step 2: Recognize that when a load is applied to a joint, the forces in the members connected to that joint must balance out for the truss to be in equilibrium.
Step 3: Identify that joint C has a total load of 12 kN applied to it.
Step 4: Realize that member AC is connected to joint C and will carry some of the load.
Step 5: Since the truss is in equilibrium, the force in member AC must equal the load at joint C, which is 12 kN.
Step 6: Conclude that the force in member AC is 12 kN.
Equilibrium of Forces – Understanding that in a statically determinate truss, the sum of forces at any joint must equal zero for the structure to be in equilibrium.
Method of Joints – A technique used to analyze trusses by isolating each joint and applying equilibrium equations to find the forces in the members.
Load Distribution – Recognizing how loads applied at joints affect the forces in connected members of the truss.