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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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@ -302,13 +302,13 @@ endobj
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@ -317,13 +317,13 @@ endobj
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@ -332,13 +332,13 @@ endobj
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@ -347,13 +347,13 @@ endobj
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@ -362,13 +362,13 @@ endobj
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@ -377,13 +377,13 @@ endobj
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@ -392,22 +392,22 @@ endobj
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@ -416,16 +416,16 @@ endobj
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@ -434,13 +434,13 @@ endobj
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@ -449,13 +449,13 @@ 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], [Factored uniform line load],
) )
#calcline( #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], [Maximum positive moment],
) )
#calcline( #calcline(
[$V_u = w_u L / 2 = #round(n.Vu) " kip"$], [$V_u = (w_u L) / 2 = #round(n.Vu) " kip"$],
[Support shear], [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([$d = #n.d " in"$], [Effective depth])
#calcline([$f'_c = #n.fc " ksi"$], [Concrete compressive strength]) #calcline([$f'_c = #n.fc " ksi"$], [Concrete compressive strength])
#calcline([$f_y = #n.fy " ksi"$], [Steel yield 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( #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], [Equivalent compression-block depth],
) )
#calcline([$epsilon_t = #round(n.et, digits: 4)$], [Net tensile strain]) #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 == Minimum Steel and Concrete Shear
#calcline([$A_("s,min") = #round(n.As_min, digits: 3) " in"^2$], [Minimum longitudinal steel]) #calcline([$A_("s,min") = #round(n.As_min, digits: 2) " in"^2$], [Minimum longitudinal steel])
#calcline([$A_("s,prov") = #round(n.As, digits: 3) " in"^2$], [Provided longitudinal steel]) #calcline([$A_("s,prov") = #round(n.As, digits: 2) " in"^2$], [Provided longitudinal steel])
#v(7pt) #v(7pt)
#check( #check(

2
concrete-beam/input.yaml
View file

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