Question

If the unknown forces in a system can be determined by the equations of equilibrium alone, then it is called as

• A. Indeterminate structure
• B. Determinate structure
• C. Degree of indeterminate structure
• D. Degree of redundant structure

Hint:

Remember: \[ \boxed{\text{Equilibrium Equations Only} \Longrightarrow \text{Statically Determinate Structure}} \] If compatibility equations are also required, the structure is statically indeterminate.

Answer 1

The Correct Option is B

Concept: A structure is classified based on whether its unknown reactions and internal forces can be determined using only the equations of static equilibrium.
• Statically Determinate Structure: All unknown reactions and internal forces can be obtained using only the equations of equilibrium.
• Statically Indeterminate Structure: The equations of equilibrium alone are insufficient. Additional compatibility equations and material properties are required. The equilibrium equations for a plane structure are \[ \sum F_x=0,\qquad \sum F_y=0,\qquad \sum M=0. \]

Step 1: Interpret the given statement. The problem states that the unknown forces can be determined by the equations of equilibrium alone. This is the definition of a statically determinate structure.

Step 2: Identify the correct option. Hence, \[ \boxed{\text{The structure is a determinate structure}.} \] Therefore, the correct option is \[ \boxed{(B)\;\text{Determinate structure}.} \]