Problem $5$: Continuous Beam with Settlement

A continuous beam spans $3$ supports $(A,B,C)$ with spans $AB=8$ m and $BC=10m.$ The beam is subject to:

A point load of $150$ N at the center of span AB$.$

A UDL of $40\frac{N}{m}$ over the entire span BC$.$

Support undergoes a settlement of $10$ mm $.$

Tasks:

Calculate the reactions at the supports considering the settlement.

Determine the fixed$-$end moments and use the moment distribution method to find the final moments at the supports.

Draw the SFD and BMD$.$

Discuss the impact of settlement on the beam's performance and suggest design recommendations to mitigate such effects.

$2$:$53$ PM