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Tidy concrete-beam sheet formulas and express h in feet

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smillmorel 2026-09-21 20:11:51 -04:00
commit 6ed3246555
3 changed files with 342 additions and 354 deletions
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concrete-beam/concrete-beam.pdf
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@ -29,7 +29,7 @@ endobj
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12
concrete-beam/concrete-beam.typ
View file

@ -50,11 +50,11 @@ Simple-span rectangular beam under uniform gravity load. Numbers come from `calc
[Factored uniform line load],
)
#calcline(
[$M_u = w_u L^2 / 8 = #round(n.Mu) " kip·ft"$],
[$M_u = (w_u L^2) / 8 = #round(n.Mu) " kip·ft"$],
[Maximum positive moment],
)
#calcline(
[$V_u = w_u L / 2 = #round(n.Vu) " kip"$],
[$V_u = (w_u L) / 2 = #round(n.Vu) " kip"$],
[Support shear],
)
@ -72,9 +72,9 @@ Simple-span rectangular beam under uniform gravity load. Numbers come from `calc
#calcline([$d = #n.d " in"$], [Effective depth])
#calcline([$f'_c = #n.fc " ksi"$], [Concrete compressive strength])
#calcline([$f_y = #n.fy " ksi"$], [Steel yield strength])
#calcline([$A_s = #n.As " in"^2$], [Provided tension steel (#n.n_bars No. #n.bar_size)])
#calcline([$A_s = #round(n.As, digits: 2) " in"^2$], [Provided tension steel (#n.n_bars No. #n.bar_size)])
#calcline(
[$a = A_s f_y / (0.85 f'_c b_w) = #round(n.a, digits: 3) " in"$],
[$a = (A_s f_y) / (0.85 f'_c b_w) = #round(n.a, digits: 3) " in"$],
[Equivalent compression-block depth],
)
#calcline([$epsilon_t = #round(n.et, digits: 4)$], [Net tensile strain])
@ -97,8 +97,8 @@ Simple-span rectangular beam under uniform gravity load. Numbers come from `calc
== Minimum Steel and Concrete Shear
#calcline([$A_("s,min") = #round(n.As_min, digits: 3) " in"^2$], [Minimum longitudinal steel])
#calcline([$A_("s,prov") = #round(n.As, digits: 3) " in"^2$], [Provided longitudinal steel])
#calcline([$A_("s,min") = #round(n.As_min, digits: 2) " in"^2$], [Minimum longitudinal steel])
#calcline([$A_("s,prov") = #round(n.As, digits: 2) " in"^2$], [Provided longitudinal steel])
#v(7pt)
#check(

2
concrete-beam/input.yaml
View file

@ -14,7 +14,7 @@ L: "20 psf"
# Beam web width b_w.
bw: "8 in"
# Overall beam depth h.
h: "12 in"
h: "1 ft"
# Effective depth to the tension-steel centroid, used for flexure.
d: "9.5 in"
# Concrete compressive strength f'_c.