$**$Please show the equations for the slope and deflection for beam XY using the double integration method$**$

The department recently bought a new Ultra$-$High Performance

Concrete mixer that is placed behind the OU building at EC$.$ Your

professor keeps warning the university that the mixer will have

premature deterioration due to corrosion of its mechanical, electrical

and structural components when exposed to the outdoor South Florida

environment. But since administration never listens to him, his only

hope are his undergraduate students in the CES$3100$ class. He is making

his students analyze a canopy structure to provide shelter for the mixer. The canopy structure provides the mixer shelter

by panels attached to the underside of the frame and support beams. Assume the frame ABCD is rigid and has a fixed

connection at A$.$ Assume that beam XY is simply supported on the frame at D and the column at E $($and similarly for the

identical beam behind$).$

HINT: What are the contributions from the

internal forces in the column at point C when

Steel self$-$weight

loading $50$lb$//$ft

Wind uplift load

on panels

$0\mathrm{.}0347$ psi

identifying continulty conditions from BC to CD $?$

Alternative HINT: is there an easier way to

determine the shear and moment just to right of

C to set up continuity conditions? Watch your

A

sign convention.

Determine the shear and moment functions for the frame with the coordinate directions shown in the figures $($ x$\_(1)$ and x$\_(2))$

using the relationships dV$//$dx$=-$w$($x$)$ and dM$//$dx$=$V$($x$).$ Full credit will only be given for derivations from these

relationships and the given coordinates. Consider the self$-$weight of the steel beams, weight of the panels, and an uplift

pressure acting on the panels due to wind. See the hint above to set up continuity conditions at C if you get stuck. Draw

the shear and moment diagrams with clear annotations for distance, magnitude, slope, intercepts, inflections, etc...

Determine the equations for the slope and deflection for beam XY using the Double Integration Method. Where and how

large is the max positive and negative deflection?