Question $3(\frac{5}{20})$

ANSWER ON THE GREEN PAGES

A T$-$beam with a length equal to $4m$ is loaded as shown below. The beam is being connected to the environment with

a hinged support in point A and a rolling support in point B$.$ The beam is made out of steel $(E=210$GPa$)$ and is

oriented as shown in the figure below. $($Deflection tables are given in attachment$)$

Questions:

a$)$ Calculate the moments of inertia $I_y$ en $I_z$ of the T$-$section

b$)$ Determine the magnitude of the force $F$ such that the resulting vertical deformation of the beam in point $C$

equals zero. Solve using superposition.

c$)$ Sketch the total deformation of the beam with this force.