Problem Statement: Analysis of a Continuous Beam with Intermediate Supports and Loads

Structure Description:

Consider a continuous beam ABCD with the following properties:

Span AB: $6$ meters

Span BC: $4$ meters

Span CD: $5$ meters

Support Conditions:

Support A: Fixed

Support B: Roller

Support C: Hinge

Support D: Fixed

Loads:

A uniformly distributed load $($UDL$)$ of $10k\frac{N}{m}$ is applied on span AB$.$

A point load of $30kN$ is applied at the midpoint of span $BC.$

A UDL of $15k\frac{N}{m}$ is applied on span CD$.$

Material and Cross$-$Section:

Modulus of Elasticity, $E=200E=200E=200$GPa

Moment of Inertia $,I=5000{10}^{6}m{m}^4$

Task:

Determine the moments at supports A$,$ B$,$ C$,$ and D with the help of any method of method. Also draw the

bending moment diagram for the entire beam