Q#$6$:

A continuous beam is connected to an extension beam by a hinge. The internal hinge in a

continuous beam is not practically used. However, in indeterminate structures, when one point

is plastic, the plastic point becomes a hinge. This is covered in the relevant lecture in this

course. The given beam is statically determinate and has a cross$-$section of question $2-$b$.$

Determine the magnitude of load $P$ that:

a$)$ causes the largest elastic moment in the beam.

b$)$ causes the largest plastic moment in the beam.

For calculations, use the moment diagram and assume $L=3m,$ and ${}_y=250$MPa.