How to Determine Internal Forces in a Statically Indeterminate Truss Using the Force Method
How can the internal forces in the truss members be determined using the force method?
A) By isolating each joint and applying equilibrium equations
B) By considering only external forces on the truss
C) By analyzing the material properties of the members
D) By disregarding the redundant members in the truss
Final answer: The internal forces in a statically indeterminate truss can be found using the force method by identifying redundants, analyzing the modified structure, applying compatibility conditions, and calculating internal forces.
Answer:
The internal forces in a statically indeterminate truss can be determined using the force method by following these steps:
1. Identify the redundants: Select the redundant forces or moments that are not determinable by static equilibrium equations alone.
2. Analyze the structure: Remove the selected redundant forces or moments to reduce the statically indeterminate structure to a statically determinate one.
3. Apply compatibility conditions: Imposing compatibility conditions (i.e., ensuring that the deflections at the point of application of redundants are the same for both the original and modified structures) can help determine the value of the redundant forces.
4. Calculate internal forces: Determine the internal forces in the truss members by combining the effects of applied loads and calculated redundant forces.