The static indeterminacy of the two-span continuous beam

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The static indeterminacy of the two-span continuous beam with an internal hinge, shown below, is ___________

1. 1
2. 2
3. 3
4. 0

Correct Option: D

0 < zero >
Degree of static indeterminacy = D_s = 3_m + r_e – 3_j – r_r
m = no. of members = 4
r_e = no. of external reactions = 4
j = no. of joints = 5
r_r = no. of reactions released = 1 (hinge)
∴ D_s = (3 × 4) + 4 – (3 × 5) –1
= 12 + 4 – 15 – 1 = 0