YOUNG'S MODULUS (MODULUS OF ELASTICITY) OF WOOD
Average Young’s modulus values of wood along the longitudinal axis
(EL) from bending tests are listed below. Values are shown for green
and 12% moisture content conditions, in MPa and in 106 psi.
|
Young’s Modulus of Wood (E) – 12% Moisture Content
|
| Species |
E (MPa) |
E (106 psi) |
| Hardwoods |
| Ash, white | 12000 | 1.74 |
| Beech, American | 11900 | 1.72 |
| Birch, yellow | 13900 | 2.01 |
| Hickory, shagbark | 14900 | 2.16 |
| Maple, sugar | 12600 | 1.83 |
| Oak, red (northern) | 12500 | 1.82 |
| Oak, white | 12300 | 1.78 |
| Walnut, black | 11600 | 1.68 |
| Softwoods |
| Douglas-fir, coast | 13400 | 1.95 |
| Douglas-fir, interior north | 12300 | 1.79 |
| Pine, eastern white | 8500 | 1.24 |
| Pine, red | 11200 | 1.63 |
| Pine, shortleaf | 12100 | 1.75 |
| Spruce, sitka | 10800 | 1.57 |
| Spruce, white | 9600 | 1.43 |
Notes:
• Values are typical averages determined from bending tests along the grain (longitudinal axis).
• For design use, refer to applicable standards (ASTM/ASME).
• Modulus of elasticity may vary with temperature, moisture, and direction.
|
Notes: Average coefficient of variation for
EL is about 22% based on bending tests of clear & green wood from
~50 species. Values adjusted to 12% moisture content are of comparable magnitude.
Because these values are obtained from bending, shear deflection slightly influences
the result; increasing EL by ≈10% gives an approximate correction for
shear.
Average values along the tangential (ET) and radial
(ER) axes for selected species appear below as ratios to
EL.
|
Elastic Ratios of Wood (ET/EL and ER/EL) — 12% Moisture Content
|
| Species |
ET/EL |
ER/EL |
| Hardwoods |
| Ash, white | 0.080 | 0.125 |
| Basswood, American | 0.027 | 0.066 |
| Birch, yellow | 0.050 | 0.078 |
| Cherry, black | 0.086 | 0.197 |
| Cottonwood, eastern | 0.047 | 0.083 |
| Maple, sugar | 0.065 | 0.132 |
| Oak, red | 0.082 | 0.154 |
| Oak, white | 0.072 | 0.163 |
| Sweetgum | 0.050 | 0.115 |
| Walnut, black | 0.056 | 0.106 |
| Softwoods |
| Baldcypress | 0.039 | 0.084 |
| Cedar, northern white | 0.081 | 0.183 |
| Cedar, western red | 0.055 | 0.081 |
| Douglas-fir | 0.050 | 0.068 |
| Hemlock, western | 0.031 | 0.058 |
| Larch, western | 0.065 | 0.079 |
| Pine, ponderosa | 0.083 | 0.122 |
| Pine, red | 0.044 | 0.088 |
| Pine, western white | 0.038 | 0.078 |
| Redwood | 0.089 | 0.087 |
| Spruce, sitka | 0.043 | 0.078 |
| Spruce, Engelmann | 0.059 | 0.128 |
Notes:
• Ratios show relative stiffness across the grain vs. along the grain.
• ET = tangential modulus, ER = radial modulus, EL = longitudinal modulus.
• Typical variability ±20%. Values representative for clear wood at ~12% moisture.
|
Reference
- Wood Handbook: Wood as an Engineering Material. USDA Forest Service, Forest Products Laboratory, 2010.
- Baumeister, T. et al. Marks' Standard Handbook for Mechanical Engineers. McGraw-Hill, 2007.
- Oberg, E., Jones, F.D., Horton, H.L., Ryffel, H.H. Machinery’s Handbook. 30th ed., Industrial Press, 2016.
Frequently Asked Questions
Young’s modulus (E) describes the stiffness of a material in tension or compression.
For wood, EL is measured along the grain (longitudinal) and is much
larger than across the grain (radial or tangential).
Moisture strongly affects stiffness. As moisture increases toward fiber saturation,
E decreases; drying to ~12% MC typically increases E.
Multiply MPa by 145.038 to get psi. To express in “106 psi”, divide
the result by 1,000,000.