
Method of SlopeDeflection Equations
belongs to displacement method of analysis for solving indeterminate structures.
When a structure is loaded, specified points on it called nodes will
undergo unknown displacements which are known as degrees of freedom.
The number of these unknowns is referred to as the degree of
kinematic indeterminacy of structure.
The Displacement method requires;

the unknown displacements to be
written in terms of the loads by using the loaddisplacement
relations.

these equations are solved for the displacement.

after
getting the displacements, the unknown loads are determined from the
compatibility equations using the load displacement relations.

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In general the
Slopedeflection equations for a beam AC can be written as follows;
solved
problem 74
explains the stepwise and complete application of slopedeflection
equations for solving indeterminate structures.
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