Question

Difficulty: MediumNails and Brads

A builder is fastening a 0.5-inch0.5\text{-inch}-thick plywood panel and a 0.75-inch0.75\text{-inch}-thick wooden furring strip to wall framing studs using standard 16d16\text{d} common nails (3.5 inches3.5\text{ inches} long). If each nail is driven straight and flush with the outer face of the furring strip, how many inches of the nail will penetrate into the framing stud?

Answer: 2.25 inches

Answer

2.25 inches
The nail passes through both the 0.75-inch0.75\text{-inch} furring strip and the 0.5-inch0.5\text{-inch} plywood panel, which take up a combined thickness of 1.25 inches1.25\text{ inches}. Subtracting this 1.25 inches1.25\text{ inches} from the total 3.5-inch3.5\text{-inch} nail length leaves exactly 2.25 inches2.25\text{ inches} of penetration into the framing stud.

Step-by-Step Solution

1
Calculate the total thickness of the layers through which the fastener passes before entering the stud.
0.75 in+0.50 in=1.25 in0.75\text{ in} + 0.50\text{ in} = 1.25\text{ in}
The nail must pass completely through both the outer furring strip and the intermediate plywood panel.
2
Determine the effective length of the fastener driven flush.
3.50 in3.50\text{ in}
A standard 16d16\text{d} (16-penny) common nail has an overall physical length of 3.5 inches3.5\text{ inches}.
3
Subtract the combined surface thickness from the total length of the nail.
3.50 in−1.25 in=2.25 in3.50\text{ in} - 1.25\text{ in} = 2.25\text{ in}
The remaining portion of the nail shank embeds directly into the receiving wooden stud.

Key Concept

Fastener penetration depth and standard pennyweight length calculation
Estimated Time:1m 0s
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