Sag Vertical Curves $($Section $3\mathrm{.}3)$

$3\mathrm{.}20$ A $1400-$ft$-$long sag vertical curve $($equal tangent$)$ has a $PVC$ at station $115+00$ and elevation $750$ ft $.$ The initial grade is $-3\mathrm{.}5\%$ and the final grade is $+6\mathrm{.}5\%.$ Determine the elevation and stationing of the low point, PVI, and $PVT.$

A $1,250ft$ by $4$ ft trench needs to be excavated to a depth of $5\mathrm{.}5$ ft $.$ The clay material has a swell factor of $35$ percent. You are planning to use a $5/8$ C$.$Y$.$ Hydraulic Backhoe to perform the excavation and will be loading the material onto haul trucks that each have a capacity of $10$ CY $.$

$\backslash$table$[[$Qty$,$CSI Number,Description,Crew,$\backslash$table$[[$Daily$],[$Output$]],\backslash$table$[[$Labor$],[$Hours$]],$Unit,$\backslash$table$[[$Bare$],[$Mat$.]],$Bare Labor,$\backslash$table$[[$Bare$],[$Equip$.]],$Total,$\backslash$table$[[$Total Incl.$],[$O&P$]]],[1\mathrm{.}000,023159000100,$Excavate trench, cont ftg$,$ no sht$/$dewtrg$,4\text{'}-6\text{'}$ D$,5/8$ CY hyd backhoe,B$12$Q$,250,064,$C$.$Y$.,0\mathrm{.}00,1\mathrm{.}82,1\mathrm{.}44,3\mathrm{.}26,4\mathrm{.}34]]$

$($a$)$ What is the total bare cost and the cost including overhead & profit to perform the excavation?

$($b$)$ How many truckloads of material will need to be moved?

$($c$)$ You use the same piece of equipment to excavate material on a different project with a total quantity of $2,500$ bcy$.$ How many total labor hours would you expect would be needed to complete the excavation?

Ans:

$($a$)$ Total Bare Cost $=$$$3,320\mathrm{.}31($$$4,420\mathrm{.}29$ with O&P$)$

$($b$)138$ truckloads

$($c$)160$ labor hours