How many joists are required to construct the floor frame for a single-story rectangular building that is 12' wide and 32' long if they are spaced 16 inches on center?

To determine how many joists are needed for the floor frame of a single-story rectangular building that is 12 feet wide and 32 feet long, with joists spaced 16 inches on center, you need to perform a few calculations.

First, convert the width of the building from feet to inches since the spacing is given in inches. The width is 12 feet, which equals 12 x 12 = 144 inches.

Now, when spacing joists at 16 inches on center, the first joist will be at the starting edge (0 inches), and subsequent joists will be at 16 inches, 32 inches, 48 inches, and so on. To find the total number of joists needed, you can divide the total width in inches by the spacing, add one for the initial joist, and round up if necessary.

Calculate the number of spacing intervals within the 144 inches:

144 inches / 16 inches = 9 gaps.

Each of these gaps represents space between the joists. Since we need a joist at both ends, we add one to the gap count:

9 gaps + 1 = 10 joists across the width of the building.

Next, it's important to determine