A sample of freshly cut Douglas Fir lumber weighs 150 grams. After being dried in an oven at 103°C until it reaches a constant mass, its oven-dry weight is determined to be 110 grams. Calculate the moisture content of the wood. Is this piece considered "green" or "dry" lumber?

A nominal 2x4 (actual dimensions $38 \text{ mm} \times 89 \text{ mm}$) piece of Southern Pine lumber is subjected to a compressive load. The lumber has a compressive strength parallel to the grain ($F_{c,\parallel}$) of 35.0 MPa and a compressive strength perpendicular to the grain ($F_{c,\perp}$) of 4.5 MPa.

Calculate the maximum allowable compressive load ($P_{max}$) if the lumber is loaded as a short column (parallel to the grain) versus if it is loaded flat as a sill plate (perpendicular to the grain). Ignore any buckling or safety factors for this basic calculation.

A freshly sawn "green" oak board has a tangential width of 200.0 mm and a radial thickness of 50.0 mm. The moisture content is 45%. The board is air-dried to a final moisture content of 12%.

The species has a total tangential shrinkage coefficient ($S_T$) of 8.0% and a total radial shrinkage coefficient ($S_R$) of 4.0%. The Fiber Saturation Point ($MC_{FSP}$) for oak is approximately 30%.

Calculate the final dimensions of the board after drying. Ignore longitudinal shrinkage as it is typically negligible (less than 0.2%).