A beam fixed at the ends and subjected to lateral loads only is statically indeterminate and the degree of indeterminacy is

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This question was previously asked in

BPSC AE Paper 5 (Civil) 14 Oct 2022 Official Paper

Answer 1

Concept:

For a fixed-fixed beam,

F2 N.M Madhu 12.03.20 D 5

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.