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Structural Loading & Analysis

Dead loads, live loads, snow/wind/seismic. RI-specific values, load combinations, tributary areas, deflection limits, and foundation design.

loadsIBCASCE 7deflectionfoundation8 min read

Structural Loading — Design Architect Knowledge Base

Load Types

Dead Loads (D) — Self-Weight

| Assembly | PSF | |----------|-----| | Residential floor (wood frame + subfloor + finish) | 10–15 | | Precast hollow-core plank (8") | 55–65 | | Precast + recovered oak overlay (3/4") | 58–68 | | Exterior wood stud wall (2×6 + sheathing + siding) | 8–12 | | Interior partition (2×4 + GWB both sides) | 6–8 | | Asphalt shingle roof (shingles + sheathing + trusses) | 10–12 | | Steel beam W12×26 | 26 plf | | Steel column W10×26 | 26 plf | | Fiber cement panel facade | 3–5 | | Continuous rigid insulation (1" polyiso) | 0.2 |

Live Loads (L) — IRC/IBC Required

| Use | PSF | Code Reference | |-----|-----|----------------| | Residential floor (living areas) | 40 | IRC R301.5 | | Sleeping rooms | 30 | IRC R301.5 | | Uninhabitable attic (no storage) | 10 | IRC R301.5 | | Uninhabitable attic (limited storage) | 20 | IRC R301.5 | | Habitable attic with fixed stairs | 30 | IRC R301.5 | | Decks and balconies | 40 | IRC R301.5 | | Guardrails (concentrated) | 200 lbs | IRC R301.5 | | Roof live load (maintenance) | 20 | IBC 1607.12 | | Roof live load (slope > 4:12) | 15 | IBC 1607.12 |

Snow Loads (S) — Rhode Island

| Location | Ground Snow (pg) PSF | |----------|---------------------| | Coastal RI (Newport, Narragansett) | 25–35 | | Central RI (Cranston, Warwick) | 30–40 | | Northern RI (Woonsocket, Burrillville) | 35–40 | | Reference | IBC Table 1608.1, ASCE 7-22 Ch 7 |

Roof snow load: pf = 0.7 × Ce × Ct × Is × pg

  • Ce = exposure factor (0.8 windswept, 1.0 normal, 1.2 sheltered)
  • Ct = thermal factor (1.0 heated, 1.1 unheated)
  • Is = importance factor (1.0 residential)

Wind Loads — Rhode Island

| Parameter | Value | |-----------|-------| | Basic wind speed (Risk Category II) | 115–130 mph | | Coastal exposed areas | Up to 130–140 mph | | Exposure category (typical residential) | B or C | | Reference | ASCE 7-16 Table 1609.3 |

Main wind force resisting system (MWFRS): Directional procedure per ASCE 7 Ch 27-28. For residential ≤ 60' mean roof height, simplified procedure (Ch 28) typically applies.

Seismic Loads — Rhode Island

| Parameter | Value | |-----------|-------| | Seismic Design Category | A (minimal) | | Ss (short period) | ≤ 0.15g | | S1 (1-second period) | ≤ 0.04g | | Consequence | Exempt from detailed seismic analysis | | Prescriptive connections | Acceptable |

Load Combinations

LRFD (Strength Design)

  • 1.4D
  • 1.2D + 1.6L + 0.5(Lr or S or R) ← critical gravity combo
  • 1.2D + 1.6(Lr or S or R) + (L or 0.5W)
  • 1.2D + 1.0W + L + 0.5(Lr or S or R)
  • 1.2D + 1.0E + L + 0.2S
  • 0.9D + 1.0W ← critical uplift combo
  • 0.9D + 1.0E
  • ASD (Allowable Stress Design)

  • D
  • D + L
  • D + (Lr or S or R)
  • D + 0.75L + 0.75(Lr or S or R)
  • D + 0.6W (or 0.7E)
  • Load Path — Gravity

    `` Roof shingles → Sheathing → Trusses (top chord) ↓ Truss reactions → Top plate (bearing wall or steel beam) ↓ Steel beam → Bolted end-plate connection → Steel column ↓ Column base plate → Anchor bolts → Grade beam / Spread footing ↓ Soil (bearing capacity 2,000–2,500 PSF typical RI)

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    Load Path — Lateral (Wind)

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    Wind pressure on facade panels ↓ Panel clips → Steel column flanges (bolted DfD) ↓ Column moment connection → Steel beam (moment frame action) ↓ Base plate → Anchor bolts → Foundation (overturning resistance) ↓ Soil passive pressure + footing weight (sliding resistance)

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    Tributary Area Calculations

    For a steel beam supporting joists from both sides:

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    Tributary width = (span_north / 2) + (span_south / 2) Linear load (plf) = (D + L) psf × tributary width (ft)

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    For a column (interior):

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    Tributary area = bay_width × bay_depth Column axial load = (D + L) psf × tributary area (sf) × number of floors

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    Example — ML Systems 20' × 20' bay, 2-story:

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    D = 15 psf (floor) + 12 psf (roof) = 27 psf per floor L = 40 psf (floor) + 30 psf (roof snow) Tributary area = 20' × 20' = 400 sf

    Interior column load (LRFD): Floor: 1.2(15×400) + 1.6(40×400) = 7,200 + 25,600 = 32,800 lbs Roof: 1.2(12×400) + 0.5(30×400) = 5,760 + 6,000 = 11,760 lbs Total: 44,560 lbs ≈ 44.6 kips

    Corner column (1/4 tributary): ≈ 11.1 kips Edge column (1/2 tributary): ≈ 22.3 kips

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    Deflection Limits

    | Condition | Limit | 20' Span Max Deflection | |-----------|-------|------------------------| | Floor live load (GWB ceiling) | L/360 | 0.67" | | Floor total load | L/240 | 1.00" | | Roof live load | L/360 | 0.67" | | Roof total load | L/180 | 1.33" | | Tile/stone flooring | L/720 | 0.33" | | Precast hollow-core (typical) | L/360 | 0.67" |

    Formula: δ = 5wL⁴ / (384EI) for uniform load

    • w = load per unit length
    • L = span
    • E = modulus of elasticity
    • I = moment of inertia

    Steel Properties — ML Steel vs A36

    | Property | A36 | HSLA 60 ksi | HSLA 80 ksi | |----------|-----|-------------|-------------| | Yield strength (Fy) | 36 ksi | 60 ksi | 80 ksi | | Tensile strength (Fu) | 58 ksi | 75 ksi | 90 ksi | | Modulus of elasticity (E) | 29,000 ksi | 29,000 ksi | 29,000 ksi | | Strength ratio vs A36 | 1.0× | 1.67× | 2.22× | | Cost premium vs A36 | — | ~15% | ~24% | | Weight savings (same capacity) | — | 25–35% | 35–50% | | Source | Mill | ML recycled auto | ML recycled auto |

    Key insight: E is identical across all steel grades — deflection depends on geometry (I), not strength (Fy). Higher-strength steel allows lighter SECTIONS but the moment of inertia may be lower, so deflection must be checked independently of strength.

    Foundation Design

    Soil Bearing — Rhode Island

    | Soil Type | Allowable Bearing (PSF) | |-----------|------------------------| | Bedrock | 12,000+ | | Dense gravel/sand (compacted) | 3,000–4,000 | | Medium sand, glacial till | 2,000–3,000 | | Stiff clay | 2,000 | | Soft clay/silt | 1,000–1,500 | | RI typical (prescriptive) | 2,000 |

    Frost Depth

    | Location | Frost Depth | |----------|-------------| | Most of RI | 40" | | Block Island (New Shoreham) | 30" | | Practical design | 42"–48" (safety margin) |

    Spread Footing Sizing

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    Required area = Column load (service) / Allowable soil bearing Example: 45 kips / 2,000 psf = 22.5 sf → 4'-9" × 4'-9" pad

    ``

    Multi-Cycle Over-Engineering

    • Size footings for N+2 future stories above current design
    • Embed stub plates in grade beams (A36 plate, A325 anchor bolts)
    • Upfront cost premium: 5–10%
    • Avoids future underpinning: saves 20–30% on expansion
    • Column base plates designed for future axial load + moment