Problem 2
The board is used as a simply supported floor joist. If a bending moment of $M = 1000$ N.m is applied $3^\circ$ from the z axis, determine the stress developed in the board at the corner A. Compare this stress with that developed by the same moment applied along the z axis ($\theta = 0^\circ$). What is the angle a for the neutral axis when $\theta = 3^\circ$?
Comment: Normally, floor boards would be nailed to the top of the beams so that $\theta \approx 0^\circ$ and the high stress due to misalignment would not occur.