#import "assets/sheet.typ": calcline, calcsheet, check

#show: calcsheet.with(
  title: "Shore Post Analysis and Design",
  project: "Deer Creek Shoring",
  prepared-by: "Conemco Engineering",
)

#let round(value, digits: 2) = calc.round(value, digits: digits)

= Shore Post Analysis and Design

Analysis to determine the axial demand for heavy duty shore post supporting the building's roof adjacent to the masonry walls to be repaired.

#figure(
  image("assets/tributary-areas.png", width: 69%),
  caption: [Plan tributary area for highest loaded shore post pair.],
)

== Tributary Area

#let Bx = 6.25
#let By = 16
#let At = Bx * By

#calcline([$S_x = #Bx " ft"$], [Tributary width in x (Spacing in X)])
#calcline([$S_y = #By " ft"$], [Tributary width in y (Spacing in Y)])
#calcline(
  [$A_t = S_x S_y = #round(At) " ft"^2$],
  [Plan tributary area],
)

== Load Determination

#let DL = 40.0
#let SDL = 15.0
#let LL = 20.0

#let P = ((DL + SDL + LL) * At) / 2

#calcline([$D = #DL " psf"$], [Dead load])
#calcline([$D_("s") = #SDL " psf"$], [Superimposed dead load])
#calcline([$L_L = #LL " psf"$], [Live load])

#calcline(
  [$P_max = display((( D + D_("s") + L_L) A_t ) / 2) = #round(P) " lbf"$],
  [Maximum service load on one post],
)

== Shore Post Axial Capacity

Considering AS550 Heavy Duty Shore post

#let H = 14
#let Pcap = 6400

#calcline([$H = #H " ft"$], [Shore post height])
#calcline([$P_("cap") = #Pcap " lbf"$], [AS550 Shore post capacity as per tech report])

#v(8pt)
#check(
  "Shore post axial capacity",
  P,
  Pcap,
  unit: "lbf",
  demand-label: [$P_max$],
  capacity-label: [$P_"cap"$],
)