The board is used as a simply supported floor joist. If a

Chapter 6, Problem 6-113

(choose chapter or problem)

The board is used as a simply supported floor joist. If a bending moment of \(M=800 \ \mathrm{lb} \cdot \mathrm{ft}\) 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 \(\left(\theta=0^{\circ}\right)\). What is the angle \(\alpha\) 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.