Study guide

11.2 Moisture Management: Vapor Retarders, Air Barriers & Water Resistive Barriers

ARE 5.0 Project Planning & Design PPD

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1 Chapter 1: Exam Overview & Schematic Design Process

1.1 ARE 5.0 PPD Format, Scoring & Case Study Navigation 1.2 The Schematic Design Phase & Multi-Discipline Workflow 1.3 Regulatory Framework: Navigating Codes, Standards & Jurisdictions

2 Chapter 2: Site Analysis, Topography & Soil Conditions

2.1 Site Topography, Grading, Slopes & Cut/Fill Calculations 2.2 Geotechnical Reports, Soil Classification & Foundation Selection 2.3 Site Hydrology, Drainage & Stormwater Management Neighborhood Context, Historic Settings & Site Integration

3 Chapter 3: Climate, Microclimate & Solar Design

3.1 Solar Geometry, Sun Angles & Sun Path Diagrams 3.2 Microclimate Analysis, Prevailing Winds & Passive Ventilation 3.3 Passive Solar Heating & Thermal Mass Strategies

4 Chapter 4: Sustainable Principles & Energy Standards

4.1 Daylighting Metrics: Spatial Daylight Autonomy (sDA) & Annual Sun Exposure (ASE) 4.2 Building Energy Standards: ASHRAE 90.1, IECC & Energy Use Intensity (EUI) 4.3 High-Performance Frameworks: LEED v4.1, Net Zero & Embodied Carbon

5 Chapter 5: Zoning Regulations & Land Use Controls

5.1 Zoning Envelopes: Setbacks, Floor Area Ratio (FAR) & Lot Coverage 5.2 Parking Requirements, Access & Site Circulation Planning 5.3 Environmental Regulations: Wetlands, Flood Zones & Brownfields

6 Chapter 6: Building Code Fundamentals: Occupancy & Construction Types

6.1 IBC Occupancy Classifications & Group Characteristics 6.2 Mixed Occupancy Strategies: Nonseparated, Separated & Accessory 6.3 IBC Construction Types I Through V & Fire-Resistance Ratings 6.4 Allowable Building Height & Area Calculations (IBC Tables 504 & 506)

7 Chapter 7: Means of Egress & Fire Protection

7.1 Occupant Load Determination & Egress Sizing (IBC Chapter 10) 7.2 Egress Components: Common Path, Travel Distance & Exit Separation 7.3 Passive Fire Protection: Fire Walls, Barriers & Smoke Partitions 7.4 Active Fire Suppression: Sprinklers, Standpipes & Fire Alarms

8 Chapter 8: Accessibility & Universal Design

8.1 Accessible Routes, Curb Ramps & Parking Layouts (ADA / ICC A117.1) 8.2 Interior Accessibility: Doors, Maneuvering Clearances & Corridors 8.3 Accessible Plumbing Facilities: Restrooms, Grab Bars & Fixture Layouts

9 Chapter 9: Structural Systems: Wood, Steel, Concrete & Masonry

9.1 Structural Selection & Spanning Rules of Thumb 9.2 Steel Framing Systems: Beams, Girders & Open-Web Joists 9.3 Concrete Framing Systems: One-Way, Two-Way & Post-Tensioned Slabs 9.4 Wood Systems: Light-Frame, Heavy Timber & Mass Timber (CLT)

10 Chapter 10: Lateral Force Resisting Systems & Foundations

10.1 Lateral Load Paths: Wind vs. Seismic Forces 10.2 Shear Walls, Braced Frames & Moment Frames 10.3 Shallow vs. Deep Foundation Systems: Footings, Mats, Piles & Caissons

11 Chapter 11: Building Envelope: Physics, Assemblies & Moisture Control

11.1 Envelope Thermal Performance: U-Values, R-Values & Thermal Bridging 11.2 Moisture Management: Vapor Retarders, Air Barriers & Water Resistive Barriers 11.3 High-Performance Wall & Roof Assemblies: Rainscreens & Inverted Roofs 11.4 Fenestration & Glazing: U-Factor, SHGC, Condensation Resistance & VT Interior Materials, Durability & Program Performance

12 Chapter 12: Mechanical & HVAC Systems

12.1 HVAC System Types: All-Air, Air-Water, All-Water & VRF Systems 12.2 Central Plant Equipment: Chillers, Boilers, Cooling Towers & Geothermal 12.3 Ductwork Distribution, Air Handling & Plenum Space Requirements 12.4 Indoor Air Quality, Ventilation Rates & ASHRAE 62.1 Baselines

13 Chapter 13: Plumbing, Electrical & Life Safety Systems

13.1 Domestic Water Supply & Pressure Boosting Systems 13.2 Sanitary Drainage, Venting & Fixture Count Calculations 13.3 Electrical Service, Transformers, Switchgear & Backup Generators 13.4 Lighting Design, Controls & Lighting Power Density (LPD) Limits

14 Chapter 14: Specialized Building Systems & Vertical Circulation

14.1 Architectural Acoustics: STC, NRC, RT60 & Noise Criteria (NC) 14.2 Elevator Systems: Traction vs. Hydraulic, Core Layout & Sizing 14.3 Building Telecommunications, Security & Building Automation Systems (BAS)

15 Chapter 15: Systems Integration & Coordination

15.1 Floor-to-Floor Height & Plenum Coordination (Structure + MEP + Architecture) 15.2 Structural Grid Planning & Spatial Adjacencies 15.3 Building Massing, Orientation & Envelope Integration 15.4 Case Study Strategy: Synthesizing Drawings, Code Sheets & Schedules

16 Chapter 16: Project Costs, Budgeting & Life-Cycle Analysis

16.1 Schematic Estimating Techniques: Area, Volume & Parametric Costs 16.2 Project Budgets: Contingencies, Overhead, Profit & Escalation 16.3 Life-Cycle Cost Analysis (LCCA) & Value Engineering

11.2 Moisture Management: Vapor Retarders, Air Barriers & Water Resistive Barriers

Key Takeaways Explain This Topic AI

Bulk water, air leakage, vapor diffusion and capillarity are distinct moisture mechanisms.

Detail a continuous air barrier and drainage path at all transitions and penetrations.

Vapor-control class and placement depend on climate, indoor humidity, insulation and drying potential.

A steady-state dew-point check screens one condition and does not prove all-season moisture safety.

Last updated: October 2026

11.2 Moisture Management: Vapor Retarders, Air Barriers & Water Resistive Barriers

Moisture intrusion is the single greatest cause of building envelope deterioration, structural degradation, indoor air contamination, and legal litigation in contemporary architecture. Effective enclosure design requires understanding the distinct physical transport mechanisms of water, deploying continuous protective barrier planes, and locating vapor retarders correctly relative to thermal insulation across diverse climatic environments.

Bulk water, air leakage, diffusion and capillary transport need distinct controls. Use drainage/flashing for bulk water, a continuous air barrier for airflow, appropriate vapor management for diffusion, and capillary breaks for porous contacts. Their relative volumes depend on conditions; do not assign a universal 98%/2% split or assume one layer solves every mechanism.

Water moves across building enclosures via four distinct thermodynamic mechanisms, differing by orders of magnitude in volume:

1. Liquid Water Intrusion

Bulk water intrusion represents the greatest volume of liquid contact. Driven by gravitational flow, wind momentum, surface tension, and hydrostatic pressure, uncontrolled bulk water rots wood, corrodes steel, and dissolves gypsum. It is mitigated through exterior claddings, roof slopes, drip edges, sill pans, through-wall flashings, and the Water-Resistive Barrier (WRB).

Air leakage and vapor diffusion are different moisture-transport mechanisms. A small air leak under a pressure difference can carry much more moisture than diffusion through intact materials, but there is no universal 98%/2% split for every enclosure. Control both with continuous air-control detailing and climate-appropriate vapor management.

3. Vapor Diffusion

Vapor diffusion is the molecular movement of water vapor through porous solid materials driven by a vapor pressure differential ( Δ P v \Delta P_v Δ P v ​ ). Governed by Fick's Law of Diffusion , water molecules migrate from regions of higher partial vapor pressure (warm, humid zones) toward regions of lower partial vapor pressure (cold, dry zones):

W = M × A × θ × Δ P v W = M \times A \times \theta \times \Delta P_v W = M × A × θ × Δ P v ​

Where W W W is total diffused water mass, M M M is material permeance, A A A is area, θ \theta θ is time, and Δ P v \Delta P_v Δ P v ​ is vapor pressure difference across the assembly.

4. Capillary Action

Capillary suction is the movement of liquid water through microscopic pores in porous materials (such as masonry brick, mortar, and unsealed concrete footings) driven by surface tension forces. Capillarity can draw groundwater upward into foundation footings or pull wind-driven rain inward across brick veneer. It is arrested by introducing capillary breaks —continuous air gaps of at least 3 / 8 in. 3/8\text{ in.} 3/8 in. or non-porous membranes.

Vapor-retarder placement is an enclosure-design decision, not an unconditional “always inside in cold climates, always outside in hot climates” instruction. Exterior low-permeance insulation can be appropriate when it keeps sensitive layers warm and permits a designed drying path. More-than-10-perm exterior membranes are not universally required. Climate, rain wetting, indoor humidity, solar vapor drive and assembly layers must be assessed together. A steady-state dew-point exercise screens one assumed condition and cannot eliminate all condensation risk.

Loading diagram... Building Envelope Moisture Transport & Layer Sequencing Logic

Water-Resistive Barriers (WRB) & The Drainage Plane

The Water-Resistive Barrier (WRB) functions as the secondary line of defense against liquid moisture that bypasses the primary exterior cladding. Installed directly over exterior sheathing, the WRB forms a continuous vertical drainage plane that directs water downward to through-wall flashings and weep holes.

Material Typologies

Asphalt felt is moisture-dependent: its permeance generally increases when wetted, supporting some outward drying. Use product-specific test data and conditions rather than a single fixed perm value for every felt or membrane.

Polymeric Housewraps (Spunbonded Polyolefin) : Mechanically attached synthetic sheets that resist liquid water while permitting vapor diffusion (typically 10 to 50 perms).

Self-adhered membranes can combine water/air-control functions when installed to the approved system, but fasteners and other penetrations still require detailing. Check substrate, primer, temperature, laps, adhesion, compatibility and vapor permeance.

Fluid-Applied Membranes : Trowel- or spray-applied elastomeric coatings that cure into a seamless, monolithic membrane over sheathing. Fluid-applied systems eliminate lap joints, bond tenaciously to irregular substrates, and serve simultaneously as the WRB and Continuous Air Barrier .

Lap water-shedding layers in the drainage direction and coordinate head, jamb and sill transitions. Required laps and bonding depend on product instructions and the approved detail; 2-inch and 6-inch values are not universal for every sheet and self-adhered membrane. Avoid reverse laps, trapped water and discontinuities at fasteners and openings.

Continuous Air Barrier Systems

An Air Barrier System is an interconnected combination of materials, assemblies, and flexible transitions designed to prevent the uncontrolled passage of air through the entire building enclosure.

Air-control compliance distinguishes the performance of a material, an assembly and a whole building. The adopted code establishes allowed methods, tested limits, continuity requirements and exceptions; do not claim one all-climate threshold or substitute a material test for the assembled envelope.

Compliance Level Testing Standard Maximum Allowable Air Permeance / Leakage

1. Material Level ASTM E2178 ≤ 0.004 cfm/ft 2 \le 0.004\text{ cfm/ft}^2 ≤ 0.004 cfm/ft 2 under 75 Pa 75\text{ Pa} 75 Pa ( 1.57 psf 1.57\text{ psf} 1.57 psf ) pressure

2. Assembly Level ASTM E2357 / E1677 ≤ 0.040 cfm/ft 2 \le 0.040\text{ cfm/ft}^2 ≤ 0.040 cfm/ft 2 under 75 Pa 75\text{ Pa} 75 Pa ( 1.57 psf 1.57\text{ psf} 1.57 psf ) pressure

3. Whole-Building Level ASTM E779 / E1827 ≤ 0.400 cfm/ft 2 \le 0.400\text{ cfm/ft}^2 ≤ 0.400 cfm/ft 2 under 75 Pa 75\text{ Pa} 75 Pa ( 1.57 psf 1.57\text{ psf} 1.57 psf ) pressure (Target: ≤ 0.25 cfm/ft 2 \le 0.25\text{ cfm/ft}^2 ≤ 0.25 cfm/ft 2 for high performance)

Continuity and Transition Detailing

An air barrier material alone does not constitute an air barrier system. Over 90% of field air leaks occur at critical structural junctions:

Foundation-to-Wall : Sealing the mudsill or foundation sill plate to concrete stem walls with closed-cell sill sealers and elastomeric mastic.

Wall-to-Roof / Parapet : Bridging the gap between exterior wall sheathing and the roof deck membrane with flexible transition membranes to prevent stack effect exfiltration.

Fenestration Perimeters : Continuous flexible self-adhering tape sealing window frame flanges directly to the sheathing WRB/air barrier.

Expansion Joints & Penetrations : Pre-manufactured elastomeric boots and silicone gaskets around electrical conduits, plumbing pipes, and structural supports.

Vapor Retarder Classifications (IBC Section 202 & 1404.3)

A Vapor Retarder is a material or membrane designed to restrict the diffusion of water vapor. Vapor transmission is measured in U.S. Perms ( 1 perm = 1 grain of water vapor / ( hr ⋅ ft 2 ⋅ in. Hg ) 1\text{ perm} = 1\text{ grain of water vapor}/(\text{hr}\cdot\text{ft}^2\cdot\text{in. Hg}) 1 perm = 1 grain of water vapor / ( hr ⋅ ft 2 ⋅ in. Hg ) ). The International Building Code defines three distinct classes:

Permeance Class Permeance Rating Typical Materials & Applications

Class I (Vapor Impermeable) ≤ 0.1 perm \le 0.1\text{ perm} ≤ 0.1 perm Polyethylene sheet ( 6 mil = 0.06 perm 6\text{ mil} = 0.06\text{ perm} 6 mil = 0.06 perm ), unpunctured aluminum foil, sheet metal, fluid-applied rubberized asphalt

Class II (Vapor Semi-Impermeable) > 0.1 perm > 0.1\text{ perm} > 0.1 perm to ≤ 1.0 perm \le 1.0\text{ perm} ≤ 1.0 perm Kraft paper facing on fiberglass batts, vapor-retarding primer paint, bitumen-coated kraft paper

Class III (Vapor Semi-Permeable) > 1.0 perm > 1.0\text{ perm} > 1.0 perm to ≤ 10 perm \le 10\text{ perm} ≤ 10 perm Standard latex paint on 1 / 2 ′ ′ or 5 / 8 ′ ′ 1/2''\text{ or }5/8'' 1/ 2 ′′ or 5/ 8 ′′ interior gypsum board, 15 # 15\# 15# asphalt felt, extruded cellulose

Vapor Permeable (Breathable) > 10 perm > 10\text{ perm} > 10 perm Polyolefin housewraps ( 20 to 50 perms 20\text{ to }50\text{ perms} 20 to 50 perms ), unpainted gypsum board, rigid fiberglass board

Variable Permeance "Smart" Vapor Retarders

Traditional Class I polyethylene sheets trap moisture inside wall cavities if water intrudes during warm seasons. Smart vapor retarders (such as polyamide film membranes) exhibit variable permeance responsive to ambient Relative Humidity (RH):

In winter (low cavity RH < 60 % < 60\% < 60% ), the polymer pores remain closed, providing Class II performance ( < 0.8 perms < 0.8\text{ perms} < 0.8 perms ) to block indoor vapor from diffusing into cold wall cavities.

In summer or under high cavity humidity ( > 70 % > 70\% > 70% RH from wet lumber or solar-driven moisture), the polymer chains expand, opening pores to > 10 to 35 perms > 10\text{ to }35\text{ perms} > 10 to 35 perms (Class III / permeable), permitting rapid inward drying into the air-conditioned interior.

Strategic Placement of Vapor Retarders by Climate

The fundamental rule of vapor control is: Locate the vapor retarder on the warm side of the thermal insulation in the season with the highest moisture drive, and allow the assembly to dry in at least one direction. +--------------------------------------------------------------------------+

  • | CLIMATE-DRIVEN VAPOR RETARDER PLACEMENT |
  • | |
  • | COLD CLIMATES (Heating Dominated - Zones 5, 6, 7, 8) |
  • | Vapor Drive: Outward (Warm, humid indoor air -> Freezing dry outdoor air) |
  • | Position: INTERIOR side of insulation (behind interior gypsum) |
  • | Exterior Face: Must be vapor permeable to allow outward drying |
  • | |
  • | HOT-HUMID CLIMATES (Cooling Dominated - Zones 1, 2, 3A) |
  • | Vapor Drive: Inward (Hot, humid outdoor air -> Chilled AC indoor air) |
  • | Position: EXTERIOR side of insulation (on exterior sheathing) |
  • | Interior Face: Must be vapor permeable; NEVER use vinyl wallpaper! |
  • +--------------------------------------------------------------------------+
  • Cold Climates (IECC Zones 5 through 8)

Vapor Drive : Indoor air is heated and artificially humidified, while outdoor air is cold and dry. Vapor drives strongly outward .

Placement : Vapor retarder (Class I or Class II) must be placed on the interior side of the thermal insulation (between the stud framing and interior gypsum board).

Drying : Design a reliable inward and/or outward drying path while controlling wetting. Exterior low-permeance insulation can be appropriate with enough thermal resistance and a compatible interior strategy; greater-than-10-perm exterior layers are not universally required.

Hot-Humid Climates (IECC Zones 1, 2, and 3A)

Vapor Drive : Ambient outdoor air is hot and humid, while indoor air is cooled and dehumidified by air conditioning. Vapor drives strongly inward .

Placement : The vapor retarder must be located on the exterior side of the insulation , directly over exterior sheathing (typically integrated into the fluid-applied WRB/air barrier).

The "Vinyl Wallpaper Catastrophe" : Installing impermeable vinyl wall coverings (Class I, < 0.05 perms < 0.05\text{ perms} < 0.05 perms ) on interior drywall in hot-humid climates is disastrous. Inward-migrating moisture passes through the wall cavity, hits the chilled interior gypsum, and is trapped behind the vinyl wallpaper. The cavity reaches 100 % 100\% 100% RH, creating massive concealed black mold growth ( Stachybotrys ) that rots the interior drywall.

Mixed Climates (IECC Zone 4)

In marine and mixed climates, vapor drives reverse seasonally (outward in winter, inward in summer). Assemblies should avoid Class I impermeable vapor barriers entirely, utilizing semi-permeable Class III retarders (standard latex paint) and smart variable membranes to facilitate bidirectional drying.

Psychrometric Condensation & Dew Point Analysis

Condensation occurs when the temperature of a surface falls below the dew point temperature ( T d p T_{dp} T d p ​ ) of the adjacent air. The dew point is the temperature at which air becomes 100 % 100\% 100% saturated with water vapor.

Condensation Prevention via Continuous Exterior Insulation

Under IBC Section 1404.3 (Exceptions to Class I and II Vapor Retarders), an interior Class I or II vapor retarder is not required in cold climates if sufficient continuous exterior insulation ( R ci R_{\text{ci}} R ci ​ ) is installed outboard of the sheathing.

Exterior continuous insulation keeps the structural sheathing warm during freezing winter conditions, raising the condensing plane temperature above the interior air's dew point. The minimum required continuous exterior insulation ratio is:

Ratio = R ci R cavity + R ci \text{Ratio} = \frac{R_{\text{ci}}}{R_{\text{cavity}} + R_{\text{ci}}} Ratio = R cavity ​ + R ci ​ R ci ​ ​

Where the adopted code permits a Class III interior vapor retarder using exterior continuous insulation, use the exact climate-zone, framing and cladding conditions in the applicable table. Do not transfer one R-value pair between 2×4 and 2×6 walls or editions.

  • Worked Scenario: Condensation Plane Analysis in Climate Zone 5
  • Scenario

A commercial building in Chicago (Climate Zone 5) operates at interior conditions of 70 ∘ F 70^\circ\text{F} 7 0 ∘ F and 40 % 40\% 40% Relative Humidity. Using psychrometric data, the dew point of this indoor air is 44.6 ∘ F 44.6^\circ\text{F} 44. 6 ∘ F . The outdoor winter design temperature is 0 ∘ F 0^\circ\text{F} 0 ∘ F .

The wall consists of: interior air film ( R − 0.68 R-0.68 R − 0.68 ), 5 / 8 in. 5/8\text{ in.} 5/8 in. gypsum ( R − 0.56 R-0.56 R − 0.56 ), 2 x 6 2x6 2 x 6 steel stud cavity with R-19 batt ( R eff = 7.10 R_{\text{eff}} = 7.10 R eff ​ = 7.10 ), 5 / 8 in. 5/8\text{ in.} 5/8 in. exterior gypsum sheathing ( R − 0.56 R-0.56 R − 0.56 ), and exterior air film ( R − 0.17 R-0.17 R − 0.17 ). Total wall resistance R total = 9.07 hr ⋅ ft 2 ⋅ ∘ F/Btu R_{\text{total}} = 9.07\text{ hr}\cdot\text{ft}^2\cdot^\circ\text{F/Btu} R total ​ = 9.07 hr ⋅ ft 2 ⋅ ∘ F/Btu .

Calculate the temperature at the inner face of the exterior sheathing ( T sheath T_{\text{sheath}} T sheath ​ ) without exterior insulation. Then calculate T sheath T_{\text{sheath}} T sheath ​ if R − 10 R-10 R − 10 continuous exterior polyiso insulation is added ( R total = 19.07 R_{\text{total}} = 19.07 R total ​ = 19.07 ). Determine if condensation occurs in each case.

Step-by-Step Resolution

Step 1: Calculate Total Temperature Gradient ( Δ T \Delta T Δ T ) Δ T = T interior − T exterior = 70 ∘ F − 0 ∘ F = 70 ∘ F \Delta T = T_{\text{interior}} - T_{\text{exterior}} = 70^\circ\text{F} - 0^\circ\text{F} = 70^\circ\text{F} Δ T = T interior ​ − T exterior ​ = 7 0 ∘ F − 0 ∘ F = 7 0 ∘ F

Step 2: Case A (Without Continuous Exterior Insulation)

Cumulative thermal resistance from interior air to sheathing inner face: R int-to-sheath = R s i + R int-gyp + R cavity, eff = 0.68 + 0.56 + 7.10 = 8.34 R_{\text{int-to-sheath}} = R_{si} + R_{\text{int-gyp}} + R_{\text{cavity, eff}} = 0.68 + 0.56 + 7.10 = 8.34 R int-to-sheath ​ = R s i ​ + R int-gyp ​ + R cavity, eff ​ = 0.68 + 0.56 + 7.10 = 8.34

Temperature drop across interior layers: Δ T drop = Δ T × R int-to-sheath R total = 70 × 8.34 9.07 = 64.36 ∘ F \Delta T_{\text{drop}} = \Delta T \times \frac{R_{\text{int-to-sheath}}}{R_{\text{total}}} = 70 \times \frac{8.34}{9.07} = 64.36^\circ\text{F} Δ T drop ​ = Δ T × R total ​ R int-to-sheath ​ ​ = 70 × 9.07 8.34 ​ = 64.3 6 ∘ F

Sheathing temperature: T sheath = 70 ∘ F − 64.36 ∘ F = 5.64 ∘ F T_{\text{sheath}} = 70^\circ\text{F} - 64.36^\circ\text{F} = 5.64^\circ\text{F} T sheath ​ = 7 0 ∘ F − 64.3 6 ∘ F = 5.6 4 ∘ F

Condensation Result : Because T sheath ( 5.64 ∘ F ) ≪ T d p ( 44.6 ∘ F ) T_{\text{sheath}} (5.64^\circ\text{F}) \ll T_{dp} (44.6^\circ\text{F}) T sheath ​ ( 5.6 4 ∘ F ) ≪ T d p ​ ( 44. 6 ∘ F ) , interior vapor that leaks into the cavity will freeze and condense aggressively on the back of the cold sheathing.

Step 3: Case B (With R-10 Continuous Exterior Insulation)

New total resistance: R total = 9.07 + 10.0 = 19.07 R_{\text{total}} = 9.07 + 10.0 = 19.07 R total ​ = 9.07 + 10.0 = 19.07

Temperature drop across interior layers: Δ T drop = 70 × 8.34 19.07 = 30.61 ∘ F \Delta T_{\text{drop}} = 70 \times \frac{8.34}{19.07} = 30.61^\circ\text{F} Δ T drop ​ = 70 × 19.07 8.34 ​ = 30.6 1 ∘ F

Sheathing temperature: T sheath = 70 ∘ F − 30.61 ∘ F = 39.39 ∘ F T_{\text{sheath}} = 70^\circ\text{F} - 30.61^\circ\text{F} = 39.39^\circ\text{F} T sheath ​ = 7 0 ∘ F − 30.6 1 ∘ F = 39.3 9 ∘ F

With an additional R − 2.5 R-2.5 R − 2.5 polyiso ( R − 12.5 ci R-12.5\text{ ci} R − 12.5 ci total, R total = 21.57 R_{\text{total}} = 21.57 R total ​ = 21.57 ): Δ T drop = 70 × 8.34 21.57 = 27.06 ∘ F ⟹ T sheath = 70 − 27.06 = 42.94 ∘ F \Delta T_{\text{drop}} = 70 \times \frac{8.34}{21.57} = 27.06^\circ\text{F} \implies T_{\text{sheath}} = 70 - 27.06 = 42.94^\circ\text{F} Δ T drop ​ = 70 × 21.57 8.34 ​ = 27.0 6 ∘ F ⟹ T sheath ​ = 70 − 27.06 = 42.9 4 ∘ F

For an assembly with R − 15 ci R-15\text{ ci} R − 15 ci ( R total = 24.07 R_{\text{total}} = 24.07 R total ​ = 24.07 ): Δ T drop = 70 × 8.34 24.07 = 24.25 ∘ F ⟹ T sheath = 70 − 24.25 = 45.75 ∘ F \Delta T_{\text{drop}} = 70 \times \frac{8.34}{24.07} = 24.25^\circ\text{F} \implies T_{\text{sheath}} = 70 - 24.25 = 45.75^\circ\text{F} Δ T drop ​ = 70 × 24.07 8.34 ​ = 24.2 5 ∘ F ⟹ T sheath ​ = 70 − 24.25 = 45.7 5 ∘ F

Because T sheath ( 45.75 ∘ F ) > T d p ( 44.6 ∘ F ) T_{\text{sheath}} (45.75^\circ\text{F}) > T_{dp} (44.6^\circ\text{F}) T sheath ​ ( 45.7 5 ∘ F ) > T d p ​ ( 44. 6 ∘ F ) , the sheathing is held completely above the dew point, passing this single steady-state dew-point comparison. Seasonal wetting, air leaks, bridges and drying still require assessment!