The degree of static indeterminacy of a fixed beam subjected to point load at the centre, as shown in the figure is:

Concept:

For a fixed-fixed beam,

For each end, the no. unknowns are 3 which are horizontal reaction, vertical reaction and moment at fixed end, so total 6 unknowns.

We have 3 available equation of equilibrium which are

\({\rm{\;}}\sum {{\rm{F}}_{\rm{x}}} = 0,\sum {{\rm{F}}_{\rm{y}}} = 0,{\rm{and\;}}\sum {{\rm{M}}_{\rm{z}}} = 0{\rm{\;}}\)

Static Indeterminacy = No. of unknowns – No. of equilibrium equations

Static Indeterminacy = 6 – 3 = 3.

For the given beam, there is no horizontal loading and hence there will be no horizontal reaction and the degree of indeterminacy will be 2 in this case.