Question One: $(50$ points$)$ The beam shown below is subjected to a uniform load acting along the length

of the beam and a concentrated force acting at the tip of the beam.

Required:

$1-$ Sketch the deflected shape of the beam under the load conditions shown below.

$2-$ Find the total maximum deflection at the free end resulting from the loads acting on the cantilever

beam $($fixed support on the left and free on the right$)$ shown below.

$3-$ Check if the total deflection satisfies the maximum limit for calculated deflections. If not, suggest

ways to reduce the total deflection.

The beam has a length of $5ft.$

The beam is made of steel having a modulus of elasticity, $E,$ of $29{10}^5$ksi

The beam has a moment of inertia, $1,$ of $750i{n}^4$

Instructions:

Use the tables attached on Canvas$/$Modules$/$Week Four$/$Week Four Learning materials to

calculate the maximum deflection. You can also use the table provided in the class notes.

Apply the principle of superposition we covered in class to solve this problem.

Keep your units consistent