Learning Exercise

Activity #3. Analyze and Evaluate a Truss

In this learning activity, Analyze and Evaluate a Truss, we will analyze and evaluate one of the main trusses from the Grant Road Bridge.
We will create a mathematical model of the truss, then use this model as the basis for a structural analysis—a series of mathematical calculations to determine the internal force in every member of the truss. We will also use the experimental data from Learning Activity #2 to determine the strength of each truss member. Finally, we will perform a structural evaluation—a comparison of the internal forces and strengths, to determine whether the truss can safely carry its prescribed loads.

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Exercise

Our plan to conduct the structural analysis and evaluation of the Grant Road Bridge
consists of the following tasks:
- Create the structural model.
- Check the structural model for static determinacy and stability.
- Calculate the reactions.
- Calculate the internal member forces.
- Determine the strengths of the members
- Calculate the factor of safety for every member in the structure
- Evaluate the safety of the structure.
- Check our assumptions.

Learning Objectives

As a result of this learning activity, you will be able to do the following:

- Calculate the components of a force vector.
- Add two force vectors together.
- Explain the following structural engineering concepts: free body diagram, equilibrium, structural model, symmetry, static determinacy, stability, and factor of safety.
- Use the Method of Joints to calculate the internal force in every member in a truss.
- Determine the strength of every member in a truss.
- Evaluate a truss, to determine if it can carry a given load safely.