Question

Analyze a three span continuous beam ABCD using displacement matrix method with support A is fixed and B&C are roller supports and span AB=6m with a point load 10kN at a distance 2m from A and span BC= 4m with u.d.l of 20kN/m and a overhang CD=2m with a point load 20kN at D and support B sinks by 5mm,EI is uniform.

Answer 1

........................

Answer 2

Answer:

Explanation:

A beam ABC is simply supported at A and B and has an overhang BC.

The reaction of top member will acts as the force be the beam ABC.

We need to calculate the value of and

Using figure

For

Put the value of

We need to calculate the value of and

Using figu

For

Put the value of

We need to draw a shear diagram

For diagram,

We need to draw a bending moment diagram

For diagram,

Hence, This is required solution.