Question

The degree of static indeterminacy for the frame shown in the figure is 

• A. 3
• B. 2
• C. 1
• D. 4

Hint:

- The number of independent equilibrium equations in plane structures is always 2.

Answer 1

The Correct Option is A

Step 1: Finding the number of unknown reactions. - The given frame consists of a hinge support, a roller support, and an internal hinge. - Hinge support provides 2 reaction forces, roller support provides 1 reaction force, and the internal hinge contributes constraints. Step 2: Applying the static indeterminacy formula. \[ {Static Indeterminacy} = {Total Reactions} - {Equilibrium Equations} \] - Total reactions = 5 - Equilibrium equations = 2 (since it’s a plane frame) Step 3: Calculating the degree of indeterminacy. \[ {Degree of Indeterminacy} = 5 - 2 = 3 \] Thus, the correct answer is (A) 3.