Log and Lumber Volumes

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Wood 120 – Lumber Volume

Lab #1 - 2011

1

Lumber volume

• In sawmilling, lumber is most often measured by the “board foot” or “fbm”

(Foot Board Measure).

1fbm = 1 foot x 1 foot x 1 inch

A thousand fbm is written “Mfbm”

A million fbm is written as “MMfbm”

2

Log Scaling in Cubic

• Logs in BC are usually measure in cubic meters

• Smalian’s Formula is the standard used in

BC

Robert Fürst – Wood 120

Smalian’s Formula

Vol = h/2 (Ab + Au)

Where:

H = Height

Ab = cross section area at base

Au = cross section are at top

Area (A b or A u

)=(d² x 3.14)/4

Robert Fürst – Wood 120 h

A u

A b

Excel Example

Log Volume Estimation using Smalian's Formula sed led length

Ab

Au

Imperial

7.0 inches

9.0 inches

16.0 feet

0.2673 ft

2

0.4418 ft

2

Metric

17.8 cm

22.9 cm

4.9 meters

0.0248 m

2

0.0410 m

2

Vol 5.67 ft

3

0.1606 m

3

Area (Ab or Au)=(d² x 3.14)/4

Robert Fürst – Wood 120

Foot Board Measure

12 inches

1 inch

Board foot = 12 inches wide, 12 inches long, 1 inch thick

= 1/12 ft 3

6

• Largest sawmill production capacity

600 MMfbm (Houston, BC)

• Average BC sawmill capacity approx. 150-200 MMfbm

• Price of softwood lumber

$250-275/Mfbm

• Price of hardwood lumber e.g. sugar maple $4/board foot

7

Quick conversion factors

• Millimeters to Inches

• Inches to Millimeters

• Meters to Feet

• Feed to Meters

• Square Meters to Square feet

• Square Feet to Square Meters

• Cubic Meters to Board Footage

• Board footage to Cubic Meters multiply by 0.03937

multiply by 25.4

multiply by 3,281 multiply by 0.3048

multiply by 10.764

multiply by 0.0929

multiply by 423.79

multiply by 0.0023596

Robert Fürst – Wood

120

Volume of lumber - Conversion

• When calculating board footage from metric sizes, it is necessary to convert the metric size to imperial measure before you begin the calculation

• Example: 10 pieces - 27mm thick - 105mm wide - 3 meter long

• 1 mm = 0.039937 in, ; 1 meter = 3.281 ft.

10 pieces x 27 x 0.03937 x 105 x 0.03937 x 3 x 3.281

12

= 36 board feet

Robert Fürst – Wood

120

Lumber Recovery Factor (LRF)

• Definition: LRF is how many board feet of green/rough sawn lumber are produced out of one cubic meter of wood.

• The units of LRF are board feet per cubic meter.

LRF typically ranges between 200 to 300 board feet per cubic meter.

10

Lumber Recovery Factor (LRF)

LRF depends on:

Size of logs entering the mill

Quality of log – defects, grade

Equipment used in a mill

FBM/m 3

212

233

254

275

296

318

Recovery % 50 55 60 65 70 75

11

British Columbia Sawmill

Lumber Recovery Factors

320

300

280

260

240

220

200

231

Leading Mills

271

BC Mills +17%

1990 1992 1994 1996 1998 2000 2002 2004

Years

Standard Thicknesses

Nominal size (in inches)

2 4 6

1.5

3.5

Actual size (in inches)

5.5

8

7.25

10

9.25

13

Target Thickness

Minimum dimension required to achieve desired final size given unavoidable reductions in size during manufacture.

14

Fibre Recovery - Percentage

Finished lumber (kds4s) 47%

Chips

Sawdust & chip fines

34%

9%

Shrinkage

Shavings

4%

6%

Robert Fürst – Wood 120

Lab Assignment

Sawing – LRF – Log Volume

Robert Fürst – Wood

120

Lab Tasks - Sawing

• Calculate the log volume of the sample log (m3)

• Make 2 horizontal reference cuts

#1

Robert Fürst – Wood 120

#2

Lab Task - Sawing

• Rotate log 90°, cut reference cut, saw boards

#4

Robert Fürst – Wood 120

#3

Lab Task - Sawing

• Cut the log into 2” thick boards

Robert Fürst – Wood 120

Lab Tasks - Sawing

• Rip each individual board to 4” wide components

Wane

• Grade each board (No wane, no loose knots, no end splits longer than 2”, no center board)

• Calculate the volume (in bf) of the 2/4 material recovered

• Calculate the LRF in %

Robert Fürst – Wood 120

Document your findings of the lab

• Write a brief report describing all of your findings of the lab and explain what caused the fairly low

LRF. Please be specific!

• Submit all of your calculations as required

• Due date:

• Group 1: 1st December 2011

• Group 2: 8th December 2011

• Please e-mail your report to Max Cosen

E-Mail: mclosen@interchange.ubc.ca

Robert Fürst – Wood

120

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