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For a truss with a total load of 12 kN applied at joint C, what is the force in

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Question: 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?

Options:

  1. 6 kN
  2. 12 kN
  3. 0 kN
  4. 8 kN

Correct Answer: 12 kN

Solution: 

In a statically determinate truss, the force in member AC can be determined using the method of joints. If joint C has a load of 12 kN, member AC will carry the same load in equilibrium.

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?
  1. 6 kN
  2. 12 kN
  3. 0 kN
  4. 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.
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