Beam Brief
Geometry
Materials
Reinforcement
Loads — service (un-factored)
a = distance from the left support. Self-weight (24 kN/m³) is added automatically. Strength combo: 1.2D + 1.6L.
What the agent does & assumes
- Analysis: statics for reactions; shear & moment envelopes from the factored load (1.2D + 1.6L).
- Flexure: singly-reinforced rectangular section, ACI 318 stress block; ρmin and tension-controlled limit checked; bars chosen in one layer.
- Shear: Vc = 0.17√f′c·b·d (λ = 1, normalweight); design shear taken at d from the support face; stirrup spacing capped by ACI maxima.
- Deflection: Branson effective inertia Ie; immediate live and long-term (λΔ = 2.0) deflections vs L/360 and L/240.
- “Auto-design depth” keeps b, materials and loads fixed and raises h in 25 mm steps until every check passes.
- Linear-elastic, preliminary design — not a substitute for a stamped engineering design.
Loading · Shear (kN) · Bending moment (kN·m) — factored
Designed section