| Member Type | Depth-to-Span Ratio | Example (40 ft span) | | :--- | :--- | :--- | | (simple span) | Depth = Span / 20 to Span / 24 | 40 ft / 20 = 2 ft deep (W24) | | Roof Beams (light load) | Depth = Span / 24 to Span / 28 | 40 ft / 24 = 1.67 ft (W18 or W21) | | Cantilever Beams | Depth = Span / 10 to Span / 12 | 10 ft cant. / 10 = 1 ft (W12) | | Steel Columns | Width ≈ 1/30 to 1/40 of height | 15 ft column → ~6" wide (W6 or W8) | | Trusses | Depth = Span / 10 to Span / 15 | 60 ft truss → 4–6 ft deep | 5. Simplified Flexural Design (Beams) Plastic moment capacity (simplified):
Δ = (5 × w × L⁴) / (384 × E × I)
Simplify by using I_req = (5 × w × L³) / (384 × E × Δ_allow)
Mp = Zx × Fy
Fe = (π² × E) / (KL/r)²
| Member Type | Depth-to-Span Ratio | Example (40 ft span) | | :--- | :--- | :--- | | (simple span) | Depth = Span / 20 to Span / 24 | 40 ft / 20 = 2 ft deep (W24) | | Roof Beams (light load) | Depth = Span / 24 to Span / 28 | 40 ft / 24 = 1.67 ft (W18 or W21) | | Cantilever Beams | Depth = Span / 10 to Span / 12 | 10 ft cant. / 10 = 1 ft (W12) | | Steel Columns | Width ≈ 1/30 to 1/40 of height | 15 ft column → ~6" wide (W6 or W8) | | Trusses | Depth = Span / 10 to Span / 15 | 60 ft truss → 4–6 ft deep | 5. Simplified Flexural Design (Beams) Plastic moment capacity (simplified):
Δ = (5 × w × L⁴) / (384 × E × I)
Simplify by using I_req = (5 × w × L³) / (384 × E × Δ_allow)
Mp = Zx × Fy
Fe = (π² × E) / (KL/r)²
FT1209/FT1509/FT1512
FT1209/FT1509/FT1512
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