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end of file diff --git a/steel-beam/steel-beam.typ b/steel-beam/steel-beam.typ index 7cdca2e..a50afd1 100644 --- a/steel-beam/steel-beam.typ +++ b/steel-beam/steel-beam.typ @@ -21,60 +21,60 @@ As determined in "Load Determination section" #let L = n.beam_length // ft -#calcline([$M_u = #round(n.moment, digits: 2) "kip·ft"$], [Factored moment from load determination]) -#calcline([$V_u = #round(n.shear, digits: 2) "kip"$], [Factored reaction on connector (factored shear)]) -#calcline([$L = #L "ft"$], [Beam span]) +#calcline([$M_u = #round(n.moment, digits: 2) " kip·ft"$], [Factored moment from load determination]) +#calcline([$V_u = #round(n.shear, digits: 2) " kip"$], [Factored reaction on connector (factored shear)]) +#calcline([$L = #L " ft"$], [Beam span]) #metadata((Mu: n.moment, Vu: n.shear)) == Material And Section Properties -#calcline([$E = #n.E "ksi"$], [Steel Young's modulus]) -#calcline([$F_y = #n.Fy "ksi"$], [Steel yield strength]) +#calcline([$E = #n.E " ksi"$], [Steel Young's modulus]) +#calcline([$F_y = #n.Fy " ksi"$], [Steel yield strength]) #calcline([$"Section" = #data.section$], [AISC W-shape]) -#calcline([$d = #n.section_d "in"$, $b = #n.section_b "in"$], [Depth and flange width]) -#calcline([$t_f = #n.section_tf "in"$, $t_w = #n.section_tw "in"$], [Flange and web thickness]) -#calcline([$A = #n.section_A "in"^2$], [Section area]) -#calcline([$r_y = #n.section_ry "in"$], [Weak-axis radius of gyration]) -#calcline([$S_x = #n.section_Sx "in"^3$, $Z_x = #n.section_Zx "in"^3$], [Elastic and plastic major-axis modulus]) -#calcline([$S_y = #n.section_Sy "in"^3$, $Z_y = #n.section_Zy "in"^3$], [Elastic and plastic minor-axis modulus]) -#calcline([$h_o = #n.section_ho "in"$, $J = #n.section_J "in"^4$], [Flange centroid distance and torsional constant]) -#calcline([$I_x = #n.section_Ix "in"^4$, $I_y = #n.section_Iy "in"^4$], [Major and minor-axis inertia]) +#calcline([$d = #n.section_d " in"$, $b = #n.section_b " in"$], [Depth and flange width]) +#calcline([$t_f = #n.section_tf " in"$, $t_w = #n.section_tw " in"$], [Flange and web thickness]) +#calcline([$A = #n.section_A " in"^2$], [Section area]) +#calcline([$r_y = #n.section_ry " in"$], [Weak-axis radius of gyration]) +#calcline([$S_x = #n.section_Sx " in"^3$, $Z_x = #n.section_Zx " in"^3$], [Elastic and plastic major-axis modulus]) +#calcline([$S_y = #n.section_Sy " in"^3$, $Z_y = #n.section_Zy " in"^3$], [Elastic and plastic minor-axis modulus]) +#calcline([$h_o = #n.section_ho " in"$, $J = #n.section_J " in"^4$], [Flange centroid distance and torsional constant]) +#calcline([$I_x = #n.section_Ix " in"^4$, $I_y = #n.section_Iy " in"^4$], [Major and minor-axis inertia]) #calcline([$lambda = #n.lambda$], [Web slenderness ratio]) == Bending About Major Axis -#calcline([$L_b = #round(n.Lb, digits: 2) "ft"$], [Unbraced length of compression flange]) -#calcline([$L_p = 1.76 r_y sqrt(E / F_y) = #round(n.Lp, digits: 2) "ft"$], [Limit for yielding]) +#calcline([$L_b = #round(n.Lb, digits: 2) " ft"$], [Unbraced length of compression flange]) +#calcline([$L_p = 1.76 r_y sqrt(E / F_y) = #round(n.Lp, digits: 2) " ft"$], [Limit for yielding]) #calcline([$C_b = 1$, $c = 1$], [Moment gradient and I-shape coefficient]) -#calcline([$r_"ts" = sqrt(I_y h_o / (2 S_x)) = #round(n.section_rts, digits: 2) "in"$], [Effective radius of gyration]) -#calcline([$L_r = 1.95 r_"ts" E / (0.7 F_y) sqrt((J c)/(S_x h_o) + sqrt(((J c)/(S_x h_o))^2 + 6.76 (0.7 F_y / E)^2)) = #round(n.Lr, digits: 2) "ft"$], [Limit for inelastic torsional buckling]) -#calcline([$F_"cr" = (C_b pi^2 E)/(L_b/r_"ts")^2 sqrt(1 + 0.078 (J c)/(S_x h_o) (L_b/r_"ts")^2) = #round(n.Fcr, digits: 2) "ksi"$], [Elastic lateral-torsional-buckling stress]) -#calcline([$M_p = F_y Z_x = #round(n.Mp, digits: 2) "kip·ft"$], [Plastic moment]) +#calcline([$r_"ts" = sqrt(I_y h_o / (2 S_x)) = #round(n.section_rts, digits: 2) " in"$], [Effective radius of gyration]) +#calcline([$L_r = 1.95 r_"ts" E / (0.7 F_y) sqrt((J c)/(S_x h_o) + sqrt(((J c)/(S_x h_o))^2 + 6.76 (0.7 F_y / E)^2)) = #round(n.Lr, digits: 2) " ft"$], [Limit for inelastic torsional buckling]) +#calcline([$F_"cr" = (C_b pi^2 E)/(L_b/r_"ts")^2 sqrt(1 + 0.078 (J c)/(S_x h_o) (L_b/r_"ts")^2) = #round(n.Fcr, digits: 2) " ksi"$], [Elastic lateral-torsional-buckling stress]) +#calcline([$M_p = F_y Z_x = #round(n.Mp, digits: 2) " kip·ft"$], [Plastic moment]) #calcline([$M_n("LTB") = M_p, "for" L_b <= L_p$], [LTB moment for yielding range]) #calcline([$M_n("LTB") = C_b [M_p - (M_p - 0.7 F_y S_x)(L_b - L_p)/(L_r - L_p)], "for" L_p < L_b <= L_r$], [LTB moment for inelastic range]) #calcline([$M_n("LTB") = F_"cr" S_x, "for" L_b > L_r$], [LTB moment for elastic range]) -#calcline([$M_n("LTB") = #round(n.MnLTB, digits: 2) "kip·ft"$], [Lateral-torsional-buckling strength]) -#calcline([$M_n = min(M_p, M_n("LTB")) = #round(n.Mn, digits: 2) "kip·ft"$], [Nominal bending capacity]) -#calcline([$phi M_n = 0.9 M_n = #round(n.phiMn, digits: 2) "kip·ft"$], [Design bending capacity]) +#calcline([$M_n("LTB") = #round(n.MnLTB, digits: 2) " kip·ft"$], [Lateral-torsional-buckling strength]) +#calcline([$M_n = min(M_p, M_n("LTB")) = #round(n.Mn, digits: 2) " kip·ft"$], [Nominal bending capacity]) +#calcline([$phi M_n = 0.9 M_n = #round(n.phiMn, digits: 2) " kip·ft"$], [Design bending capacity]) #check("Flexure", checks.flexure.demand, checks.flexure.capacity, unit: "kip·ft", ok: checks.flexure.ok, demand-label: [$M_u$], capacity-label: [$phi M_n$]) == Shear Of Web -#calcline([$A_w = d t_w = #round(n.Aw, digits: 3) "in"^2$], [Web area]) +#calcline([$A_w = d t_w = #round(n.Aw, digits: 3) " in"^2$], [Web area]) #calcline([$lambda_lim = 2.24 sqrt(E / F_y) = #round(n.lambda_lim, digits: 3)$], [Limiting web slenderness]) #calcline([$k_v = #n.kv$], [Web shear buckling coefficient]) #calcline([$C_"v1" = #n.Cv1$], [Web shear strength coefficient]) #calcline([$phi_v = #n.phi_v$], [Shear reduction factor]) -#calcline([$phi V_n = phi_v 0.6 F_y A_w C_"v1" = #round(n.phiVn, digits: 3) "kip"$], [Design shear capacity]) +#calcline([$phi V_n = phi_v 0.6 F_y A_w C_"v1" = #round(n.phiVn, digits: 3) " kip"$], [Design shear capacity]) #check("Shear", checks.shear.demand, checks.shear.capacity, unit: "kip", ok: checks.shear.ok, demand-label: [$V_u$], capacity-label: [$phi V_n$]) == Deflection -#calcline([$delta_max = L / 240 = #round(n.delta_limit, digits: 3) "in"$], [Maximum allowed deflection]) -#calcline([$delta = 5/384 (w L^4) / (E I_x) = #round(n.delta, digits: 3) "in"$], [Expected center deflection under service uniform load]) +#calcline([$delta_max = L / 240 = #round(n.delta_limit, digits: 3) " in"$], [Maximum allowed deflection]) +#calcline([$delta = 5/384 (w L^4) / (E I_x) = #round(n.delta, digits: 3) " in"$], [Expected center deflection under service uniform load]) #check("Deflection", checks.deflection.demand, checks.deflection.capacity, unit: "in", ok: checks.deflection.ok, demand-label: [$delta$], capacity-label: [$delta_"max"$])