Final answer:
To construct the floor frame of a single-story rectangular building, you will need 3 headers with a total length of 96 feet and 1 joist with a length of 12 feet. The total board feet required would be 108 feet.
Step-by-step explanation:
To construct the floor frame of a single-story rectangular building, we need to calculate the number and length of joists and headers. The joists will run along the shorter walls of the building and will be spaced 16 inch on center. The headers will run along the longer walls of the building. Let's calculate:
Headers:
To calculate the number of headers, divide the total length of the longer walls by the length of each header: 32' ÷ 12' = 2.67 headers. However, since we cannot have a fraction of a header, we round up to the nearest whole number which is 3 headers.
For the total length of headers, multiply the number of headers by the length of each header: 3 headers × 32' = 96' of headers.
Joists:
To calculate the number of joists, divide the total length of the shorter walls by the spacing between each joist: 12' ÷ 16” = 0.75 joists. Similarly, we round up to the nearest whole number which is 1 joist.
For the total length of joists, multiply the number of joists by the length of each joist: 1 joist × 12' = 12' of joists.
Total board feet can be calculated by summing the lengths of the headers and joists in feet: 96' + 12' = 108' of board feet.