Problem $1$: Wood Materials

Given:

A wood frame structure as shown to the right. The framing consists of $26$ studs, a single $26$ bottom plate, two $26$ top plates and a $210$ joist. The studs are spaced at $16$ in$.$ on center and sheathed with plywood. The distance from the bottom of the bottom plate to the top of the top plate is $10ft.$ The material is Douglas Fir$-$Larch No$.1$ and Better.

The moisture content is $18\%$ during installation and is expected to reach an equilibrium moisture content of $10\%.$

Required:

Part A$.$ Determine the total amount of shrinkage over the height of the wall. Part B$.$ Determine the maximum wind load pressure $(l\frac{b}{f}{t}^2)$ that can be applied to the second floor of the wall. Assume that the sheathing does not increase the strength of the wall. Use the NDS strength values and the appropriate strength adjustment factors.

Part C$.$ Determine the weight of a $18ft$ joist at the installed moisture content and again at the equilibrium moisture content.