Assignment $-$ Pipe Support

$$ Design the support beam for an existing buried HDPE $($plastic$)$ water pipe.

Data:

Pipe Internal Diameter $24-$in$.$

Negligible Pipe Weight.

Rectangular excavation top width $25-$ft$.$

Manufacturer requires $5-$ft pipe support spacing.

Maximum allowable deflection $\frac{L}{50}$ or $0\mathrm{.}5-ft.$

Allowable Stress: $Fb=0\mathrm{.}6**Fy,FV=0\mathrm{.}40**Fy$ & $Fy=36-$ksi

Provide:

Steel I$-$Beam cross section, $($W shape, wide flange$).$

Show full calculations for analysis and design.

Provide approx. Moment, Shear and Deflection diagrams.