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Chapter 9 Woods, Plastics, & Composites

Master lumber types, framing methods, quantity takeoff calculations, and finish wood estimation for construction projects.

8Sections
4Calculators
10Quiz Questions
4Practice Problems
9.1

Materials

Wood types, engineered panels, and plastic composites used in construction


Wood products are available in a variety of types, sizes, shapes, and finishes. Estimators calculate the number of pieces, area, number of sheets, or the linear feet of wood products depending on the material installed.

Core Concept

Wood is classified as hardwood (from broadleaf deciduous trees like oak, maple, walnut) used primarily for finish materials, or softwood (from conifers like pine, fir) used for structural framing and trim components.

Structural Wood Members

A structural wood member provides support for live and dead loads. A live load is the total of all dynamic loads a structure supports. A dead load is permanent and stationary, composed of all construction materials and equipment.

Grading is the classification of wood pieces by quality and structural integrity. Wood is graded on strength, stiffness, and appearance. Grade marks are stamped on softwood lumber.

Sizing Note

Nominal size is the size of rough lumber before planing. Actual size is smaller. A nominal 2×4 has actual dimensions of 1.5″ x 3.5″. Standard lengths are 8′, 10′, 12′, 14′, and 16′.

Lumber Size Categories

Type
Nom. Thickness
Nom. Width
Act. Thickness
Act. Width
Board
1″
2″-12″
3/4″
1.5″-11.25″
Dimension Lumber
2″
2″-12″
1.5″
1.5″-11.25″
Timber
5″+
5″+
4.5″+
4.5″+

Shop-Fabricated & Engineered Members

Wood I-Joist
Flanges of structural composite lumber with OSB or plywood webs. Common for floor and roof joists.
Wood I-Joist

Composed of flanges of structural composite lumber or finger-jointed lumber with webs of OSB or plywood. Commonly used as floor or roof joists due to strength-to-weight ratio.

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PSL — Parallel-Strand Lumber
Wood strands combined under intense heat. Used where long lengths are required.
PSL — Parallel-Strand Lumber

Manufactured by combining wood strands with adhesive and forming rough lumber under intense heat and pressure. Trimmed to standard dimensional sizes. Commonly used in lieu of solid lumber for long-length applications such as balloon-framed structures.

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LVL — Laminated-Veneer Lumber
Layered composite of wood veneers and adhesive. Cut into headers, beams, flanges.
LVL — Laminated-Veneer Lumber

A layered composite of wood veneers and adhesive that can be cut into stock for headers, beams, flanges for wood I-joists, or other items. Typically available in 1-3/4″ thickness with long lengths available.

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Glulam Timber
Engineered lumber of bonded wood laminations. Enables curved members for large open areas.
Glulam (Glued Laminated) Timber

Composed of wood laminations (lams) bonded with adhesives. Allows architects and engineers to create curved wood members not possible with solid timber. Applications include floor/roof beams, columns, and trusses.

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Engineered Wood Panels

Used for subflooring, wall sheathing, roof sheathing, shelves, and cabinetry. Commonly manufactured in 4×8 sheets (32 sq ft). Also available in 4×10 and 4×12 sheets.

PLY
Plywood
Cross-laminated veneers; 1/4″ to 1-1/8″ thick; graded A-D by face quality
OSB
Oriented Strand Board
Wood strands mechanically oriented with phenolic resin; 1/4″ to 3/4″ thick
PB
Particleboard
Wood particles and flakes bonded with synthetic resin; smooth finish; underlayment
MDF
Medium-Density Fiberboard
Fine wood fibers with binders; 1/8″ to 1-1/2″ thick; siding, molding, cabinets
Plastics & Composites

Used where decay resistance and weather resistance are required (exterior decks, fences). Available in sizes similar to nominal size structural wood framing members. Warp-, split-, and weather-resistant; fastened with screws.

9.2

Wood Construction Methods

Platform, balloon, and timber framing systems compared


Structural wood construction includes frame construction and the use of trusses or laminated members. Frame construction involves individual wood members assembled and fastened into structural frames on the job site.

Platform Framing
  • Most common method for 1- and multi-story buildings
  • Single or multistory buildings built one story at a time
  • Uses joists, headers, and plates
  • Wood sheathing attached to frames for lateral strength
  • A header is placed over wall openings to distribute load
  • Includes rough sills and cripple studs at openings
Balloon Framing
  • Individual studs extend from sill plate to top plate of upper story
  • Load-bearing walls extend full height from foundation to roof
  • Minimizes effects of lumber shrinkage in multistory buildings
  • Creates open-framed areas in multistory buildings
  • Engineered lumber commonly used due to long lengths needed
  • Requires a ribbon board at second-floor level
Tech Fact

Balloon framing is experiencing a resurgence in popularity due to the availability of long lengths of engineered lumber such as PSL and LVL.

Timber Framing

Timber framing uses large wood members to form large open areas. Large glulam or timber members are spaced farther apart than in other framing systems. Imposed loads are conveyed to the posts with bents — structural, interconnected systems of timbers contained in a wall.

Vertical Wood Members

Wall Framing Components

Platform and balloon framing vertical wood members include:

  • Stud — vertical support member extending from bottom to top plates; spaced at regular intervals (16″ or 24″ OC)
  • Corner post — vertical support member consisting of studs or blocks at corners of framed buildings
  • Plate — horizontal support member at top and bottom of framed wall to which studs are attached
  • Blocking — wood fastened between structural members to strengthen joints, provide structural support, or block air passage
  • Ribbon board — supporting ledger applied horizontally across studs to support the end of joists (balloon framing)

Finish Wood Construction

Finish wood construction includes items made of wood applied to interior or exterior surfaces of walls, partitions, floors, or ceilings to provide decorative or functional finishes. Components are typically installed near the completion of work when climatic conditions or tradespeople cannot damage the finished materials.

Finish wood construction includes cabinetry, millwork (trim moldings, window/door frames, stairways, mantels), and stairway components. Cabinet units are commonly purchased or prefabricated at a cabinet shop and delivered to the job site ready for installation.

9.3

Lumber Quantity Takeoff

How to determine quantities for structural wood framing members


Methods for specifying lumber quantities vary according to use. Structural wood framing members for platform and balloon framing are ordered according to the individual number of pieces needed and are priced based on board feet.

Board Foot Definition

A board foot (bf) is a unit of measure based on the volume of a piece measuring 1″ thick by 12″ wide by 12″ long (144 cu in). Calculated by multiplying thickness (inches) x width (inches) x length (feet), then dividing by 12. Example: 2″ x 4″ x 16′ = 10.66 bf ([2 x 4 x 16] / 12).

Sill Plates

A sill plate is typically a pressure-treated 2×6, laid flat and fastened to the top of a foundation wall. The quantity required is calculated from the linear feet of the foundation walls. An L-shaped foundation wall measuring 23′-11″ x 32′-3″ requires 56′-2″ (56.17′) of sill plates.

Floor Joists

Floor Joist Calculation
Number of Joists = (Header Joist Length x Multiplier) + 1
Multiplier = 1.0 (12″ OC) | 0.75 (16″ OC) | 0.625 (19.2″ OC) | 0.5 (24″ OC)
* Always round up to next whole number. Add one joist as end joist after multiplying.

Example: Determining Floor Joist Count

Header joist length = 21′-5-3/4″ = 21.479′; joists spaced 16″ OC

  • Convert: 21′-5-3/4″ = 21.479′
  • Number of joists = (21.479′ x 0.75) + 1 = 16.11 + 1 = 17.11
  • Rounded up to 18 joists

Wall Studs

Wall Stud Calculation
Number of Studs = (Wall Plate Length x Multiplier) + 1
Multiplier = 0.75 (16″ OC) | 0.625 (19.2″ OC) | 0.5 (24″ OC)
* Add one additional stud at each intersecting wall and corner.

Example: Determining Wall Stud Count

Wall plate length = 75′-0″; studs spaced 19.2″ OC

  • Convert: 75′-0″ = 75.0′
  • Number of studs = (75.0′ x 0.625) + 1 = 46.88 + 1 = 47.88
  • Rounded up to 48 studs

Ceiling Joists & Roof Trusses

Ceiling joist length is determined from the location of bearing walls on the floor plan. Quantity is based on the distance between bearing walls and on-center spacing.

The number of roof trusses required is based on the distance between bearing walls and the on-center spacing of trusses. A building with 24′-6″ between bearing walls and roof trusses spaced 2′-0″ OC requires 13 roof trusses (24.5′ x 0.5 = 12.25; rounded to 13).

9.4

Sheathing & Roof Calculations

Panel counts, waste factors, and rafter length calculations


The number of sheathing panels required is based on the area of the floor, wall, or roof to be covered. Each 4×8 panel covers 32 sq ft. Approximately 7% waste is added for floor sheathing; 5% waste for roof sheathing.

Floor Sheathing Panel Count
Panels (no waste) = Floor Area / 32
Total Panels = Panels x 1.07 (round up)
* 7% waste factor standard for floor sheathing

Example: Floor Sheathing

Cover a floor measuring 60′ x 250′

  • Area = 60′ x 250′ = 15,000 sq ft
  • Panels (no waste) = 15,000 / 32 = 468.75
  • Total panels = 468.75 x 1.07 = 501.56
  • Round up to 502 panels

Wall Sheathing

An estimator refers to floor plans and elevations, determines wall area and area of openings (doors and windows), and calculates the number of sheathing panels required. Materials priced on a per panel basis.

Example: Wall Sheathing with Openings

Cover 8′-0″ high walls of a building 24′-6″ x 13′-0″. One door 3’x6′-8″, two windows 2′-6″x3′-0″.

  • Gross area = [(24.5′ x 8′) x 2] + [(13′ x 8′) x 2] = 392 + 208 = 600 sq ft
  • Area of openings = (3′ x 6.667′) + [(2.5′ x 3′) x 2] = 20 + 15 = 35 sq ft
  • Net area = 600 – 35 = 565 sq ft
  • Panels (no waste) = 565 / 32 = 17.66
  • Total panels = 17.66 x 1.07 = 18.90 — round up to 19 panels

Roof Sheathing & Rafter Length

Roof sheathing calculations are based on the roof and rafter lengths, which are based on the pitch of the roof. The rafter length per foot of run is equal to the square root of the sum of the squares of the rafter run and rise.

Rafter Length Calculation
Rafter Length/ft of Run = sqrt(unit_run^2 + unit_rise^2)
Total Rafter Length = (Total Run x Rafter Length/ft of Run) / 12
Roof Area = Roof Length x Total Rafter Length x 2
* Unit run is always 12 for standard pitch notation

Example: Gable Roof Sheathing (3:12 pitch)

Building 24′-6″ long by 13′-0″ wide, 3:12 pitch

  • Rafter length/ft = sqrt(12^2 + 3^2) = sqrt(144+9) = sqrt(153) = 12.37″
  • Total rafter length = (6.5′ x 12.37″) / 12 = 80.41/12 = 6.7′
  • Roof area = 24.5′ x 6.7′ x 2 = 328.3 sq ft
  • Panels (no waste) = 328.3 / 32 = 10.26
  • Total panels = 10.26 x 1.05 = 10.77 — round up to 11 panels
Tech Fact

Roof pitch is a determining factor in roof cost. Steeper roofs cost more due to the additional roofing material required and the use of safety rigging, toe boards, roof jacks, and walk boards.

9.5

Finish Wood Members

Millwork, cabinetry, stairways, and plastic composites


Finish wood members include cabinetry, millwork, paneling, and stairway components. Estimators rely primarily on interior elevations, floor plans, schedules, and specifications to take off finish wood member quantities.

Millwork is finished wood materials or parts such as moldings, jambs, and frames completed in a mill or manufacturing plant. Millwork is estimated based on linear feet.

Baseboard molding is calculated in linear feet based on the total perimeter of the room. Deductions are made where doors or large openings are made. For a 24′-6″ x 13′-0″ room, the perimeter is 75 lf of wall.

Baseboard Molding
Perimeter = (Length x 2) + (Width x 2)
* No deductions for doors/windows unless specified

Casing length depends on the width and height of each door or window opening. For a 3′-0″ x 6′-8″ door, casing is installed on each side (6′-8″ x 2 = 13′-4″). A 7′-0″ length is needed along each side plus 4′-0″ across the top.

Cabinetry is noted by the dimensions, number of doors, number of drawers, and finish of each cabinet. Countertop calculations are based on the countertop area in square feet.

Cabinet sizes are shown on plan, elevation, and detail drawings using a width/height/depth notation. A notation of 24/36/12 indicates a 24″ wide, 36″ high, and 12″ deep cabinet.

Interior elevations and the related schedules provide location, dimension, and finish information for cabinetry and casework. Prefabricated or custom-built cabinets may be specified. The construction documents contain a schedule indicating the width, height, and depth of each cabinet.

Wood paneling is calculated as the number of sheets. Sheets of paneling cover a 4′-0″ width when installed vertically and an 8′-0″ width when installed horizontally.

When paneling is installed vertically in rooms with 8′-0″ ceilings or lower, the perimeter measurement (in linear feet) is divided by 4 to calculate the number of sheets needed.

Paneling Sheet Count
Sheets (vertical) = Perimeter (lf) / 4
Total Sheets = Sheets x 1.05 (5% waste)
* For a 14′ x 52′ room: perimeter = 132 lf / 4 = 33 sheets x 1.05 = 34.65 = 35 sheets

Stairway estimation requires information about finishes, the number of treads and risers, balusters, handrails, newel posts, and stringers. Obtained from interior elevations, floor plans, and specifications.

Stairway Component Terminology

  • Stringer (Carriage) — support for a stairway; typically 2x10s or 2x12s
  • Tread — horizontal surface of a step
  • Riser — vertical face of a step
  • Baluster — upright member between handrail and treads
  • Handrail — support member grasped by hand
  • Gooseneck — curved section of handrail joining to newel post
  • Open stringer — cut out to support treads on open side
  • Closed stringer — installed at meeting of stairway and wall
Stringer & Handrail Length
Stringer Length = sqrt(total_run^2 + total_rise^2)
* Add 8′ for cutting and fitting. Example: 6′-0″ run, 4′-0″ rise = sqrt(36+16) = 7.21′ = ~7′-3″

Structural plastics and composites are shown on floor plans and elevations. Estimated the same manner as structural wood members, with the number of pieces required depending on spacing of studs, joists, and plates.

Plastic laminate cost is determined by the area (in square feet) to be covered and the type of laminate. This applies to horizontal and vertical surfaces and high- and low-pressure laminates. Available in sheets of 1/32″ or 1/16″ thickness.

Foam moldings are manufactured from expanded polystyrene (EPS) blocks. EPS is a closed-cell, rigid, cellular plastic manufactured in various densities from 1 lb/cu ft to 2.5 lb/cu ft. When used for interior or exterior molding, it may be reinforced with fiberglass mesh and have various surface finishes.

9.6

Calculators

Interactive tools for common wood quantity estimating calculations


Board Foot Calculator
Calculate board feet for a piece of lumber
Board Feet
Floor Joist Calculator
Determine number of joists from header length and spacing
Joists Required
Sheathing Panel Calculator
Calculate number of 4×8 panels needed with waste factor
Total Panels
Rafter Length Calculator
Determine rafter length from roof run and pitch
Total Rafter Length

Practice Problems

PROB-9.3-A Calculate board feet for a 2x6x14′ board
A contractor needs to price 2×6 lumber that is 14 feet long. Calculate the number of board feet in one piece to determine the material cost at a per-board-foot price.
  1. Identify nominal thickness (2″), nominal width (6″), and length in feet (14′)
  2. Apply formula: BF = (Thickness x Width x Length) / 12
BF = (2 x 6 x 14) / 12 = 168 / 12 = 14.0 board feet
PROB-9.3-B Determine number of floor joists at 16″ OC for a 28′-4″ span
A floor system has a header joist length of 28′-4″ (28.33′). Floor joists are to be spaced at 16″ OC. Determine the number of joists required.
  1. Convert header joist length to decimal feet: 28′-4″ = 28.333′
  2. Use multiplier for 16″ OC spacing (0.75)
  3. Apply formula: Joists = (length x 0.75) + 1; round up
Step 1: 28′-4″ = 28.333′
Step 2: Joists = (28.333 x 0.75) + 1 = 21.25 + 1 = 22.25
Step 3: Round up to 23 joists
PROB-9.4-A Calculate floor sheathing panels for a 45′ x 80′ floor
Determine the number of 4×8 sheathing panels required to cover a floor measuring 45′ x 80′. Include the standard 7% waste factor for floor sheathing.
  1. Calculate total floor area
  2. Divide by 32 (sq ft per 4×8 panel) to get panels without waste
  3. Multiply by 1.07 for waste; round up to next whole panel
Step 1: Area = 45′ x 80′ = 3,600 sq ft
Step 2: 3,600 / 32 = 112.5 panels (no waste)
Step 3: 112.5 x 1.07 = 120.375 — round up to 121 panels
PROB-9.4-B Calculate rafter length for an 8:12 pitch roof with 12′ total run
A gable roof has a total run of 12′-0″ (from ridge to bearing wall) and a unit rise of 8 inches per foot of run. Calculate the total rafter length (in feet, rounded to nearest inch).
  1. Rafter length per foot of run = sqrt(12^2 + 8^2)
  2. Multiply by total run in feet; divide by 12 to convert inches to feet
Step 1: Length/ft = sqrt(144 + 64) = sqrt(208) = 14.42″
Step 2: Total = (12.0′ x 14.42″) / 12 = 173.08 / 12 = 14.42 feet
9.7

Chapter Quiz

Test your knowledge of woods, plastics, and composites


9.8

Glossary

Key vocabulary for Chapter 9


Hardwood
Wood produced from broadleaf, deciduous trees such as ash, birch, maple, oak, and walnut. Primarily used for finish materials like cabinetry and millwork.
Softwood
Wood produced from a conifer (evergreen) tree such as pine or fir. Used for structural framing members and trim components.
Millwork
Finished wood materials or parts, such as moldings, jambs, and frames, completed in a mill or fabrication facility.
Nominal Size
The size of rough lumber prior to planing. Nominal size varies from actual size. A 2×4 nominal is actually 1.5″ x 3.5″ after planing.
Grading
The classification of various pieces of wood according to their quality and structural integrity. Wood is graded based on strength, stiffness, and appearance.
Board Foot (bf)
A unit of measure based on the volume of a piece measuring 1″ thick x 12″ wide x 12″ long (144 cu in). Calculated as (T x W x L) / 12.
Glulam (Glued Laminated Timber)
An engineered lumber product composed of wood laminations (lams) bonded together with adhesives. Allows curved members and spans not possible with solid timber.
OSB (Oriented Strand Board)
An engineered wood panel in which wood strands are mechanically oriented and bonded with phenolic resin under heat and pressure. Available 1/4″ to 3/4″ thick.
Platform Framing
The most common framing method in which single or multistory buildings are built one story at a time, with work proceeding in consecutive layers or platforms.
Balloon Framing
A framing method in which individual studs extend from the sill plate of the first story to the top plate of the upper story. Load-bearing walls extend full height from foundation to roof.
Joist
A horizontal structural member that supports the load of a floor or ceiling. Floor joist length depends on the distance between supporting structural members such as sill plates and beams.
Sill Plate
A wood member, usually a pressure-treated 2×6, laid flat and fastened to the top of a foundation wall to provide a nailing base for floor joists or studs.
Header
A horizontal framing member placed over the top of a wall opening to distribute the load to either side of the opening.
Tread
The horizontal surface of a step in a stairway. For rough stairways, treads are constructed of 2x10s or 2x12s.
Riser
The piece forming the vertical face of a step in a stairway. Risers and open and closed stringers are typically made of 3/4″ thick softwood or hardwood lumber.
Stringer (Carriage)
The support for a stairway. Structural wood members, typically 2x10s or 2x12s, are used for stringers to support the treads and risers.
Plastic Laminate
Sheet material composed of multiple layers of plastic and resins bonded together under intense heat and pressure. Available in high-pressure (countertops) and low-pressure (cabinet sides) varieties.
Cripple Stud
A short wall stud placed between the header and the top plate or between the rough sill and the bottom plate at a door or window opening.