Problem $1$

Numerical Problem $(20$ points$)$: Here is an easy one to start of this $HW$ and give you space to practice the SFD$/$BMD for a beam with multiple loadings. Let's assume you are a structural engineer tasked with designing a beam under a MRI machine in a hospital. The dead load of the MRI machine is typically a uniformly distributed load of $10k\frac{N}{m}.$ When the MRI machine starts spinning, it induces a couple moment of $20kN.$m$.$ The additional $15kN$ point load is the load from the additional accessories$/$equipments$.$ Draw the SFD and BMD for the beam under a MRI machine shown below using the method of sections. Please make sure you provide numerical values of shear force and bending moment at locations where the loading changes $(0,2,3,4,6$ meters$)$ and where the shear force and bending moment has the maximum positive and negative magnitudes.

Your diagrams$/$plots should be on an engineering paper or you can use the engineering paper template uploaded on Canvas. Unclear SFD$/$BMD$,$ or SFD$/$BMD not drawn on engineering paper, or SFD$/$BMD not drawn as per engineering specs will lose upto $10$ points. Also, please make sure you box$/$highlight the various equations you created for various segments along the beam for us to give you partial points. Just creating SFD$/$BMD without laying down the steps$/$equations will get you only $5$ points.