What is the condition for a structure to be statically determinate?

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Q: What is the condition for a structure to be statically determinate?

Solution: A structure is statically determinate when the number of equations of equilibrium is equal to the number of unknowns.

Steps: 6

Step 1: Understand what a structure is. A structure can be a bridge, building, or any framework that supports loads.
Step 2: Know what 'statically determinate' means. It means that the structure can be analyzed using only the equations of equilibrium.
Step 3: Learn about the equations of equilibrium. These are mathematical statements that describe the balance of forces and moments acting on the structure.
Step 4: Identify the unknowns in the structure. These are the forces or reactions that need to be calculated to understand how the structure behaves.
Step 5: Count the number of equations of equilibrium available. For a 2D structure, there are usually three equations: sum of horizontal forces = 0, sum of vertical forces = 0, and sum of moments = 0.
Step 6: Compare the number of equations of equilibrium to the number of unknowns. If they are equal, the structure is statically determinate.