displacement method structural analysis examples

Here any load P applied to the beam will cause node A only to rotate (neglecting axial deformation), while node B is completely restricted from moving.In two dimensions, each node can have at most two linear displacements and one rotational displacement.Imagine the structure to consist of a series of members connected to nodes, which are usually located at joints, supports, at the ends of a member, or where the members have a sudden change in cross section.Thesedisplacements are referred to as the degrees of freedom for the structure, and in the displacement method of analysis, it is important to specify these degrees of freedom since they become the unknowns when the method is applied.When a structure is loaded, specified points on it, called nodes, will undergo unknown displacements.Once the displacements are obtained, the unknown loads are determined from the compatibility equations using the load-displacement relations.For the Displacement Method, it first requires satisfying equilibrium equations for the structure.There are two different ways to satisfy these requirements when analyzing a statically indeterminate structure.All structures must satisfy equilibrium, load-displacement, and compatibility of displacements requirements in order to ensure their safety.

EAT 253STRUCTURAL ANALYSIS I TOPIC 4 DISPLACEMENT METHOD OF ANALYSIS: SLOPE – DEFLECTION EQUATIONS ILYA BINTI JOOHARI

Displacement method structural analysis examples