A carpenter needs to calculate the correct length of the wall studs for a platform-frame construction. The building will have a finished floor-to-ceiling height of 7′8½″, a 1″-thick finish floor, ¾″ furring strips in the ceiling, and ½″ gypsum board on the ceiling. The combined thickness of the top plates and the sole plates is 4¾″. What would be the correct stud length for this building?
A. 7′7½″
B. 7′9½″
C. 7′8¾″
D. 7′6″
I believe the answer to be B. Would you agree?
from subfloor to second floor joists then take off the top and sole --> 7 feet +( 8 1/2 + 1 + 3/4 + 1/2 - 4 3/4)inches = 7 feet + 6 inches
The studs go between the upper and lower plates.
https://www.youtube.com/watch?v=G3YxoLL9zHI
To calculate the correct stud length for the building, we need to account for the floor-to-ceiling height and the combined thickness of various components.
First, let's convert all the measurements to inches for consistency:
- Floor-to-ceiling height: 7 feet 8 1/2 inches = 92 1/2 inches
- Finish floor thickness: 1 inch
- Ceiling furring strips thickness: 3/4 inch
- Gypsum board thickness: 1/2 inch
- Combined thickness of top plates and sole plates: 4 3/4 inches
To find the correct stud length, we subtract the sum of the floor, ceiling, and combined thickness from the total height:
92 1/2 inches - (1 inch + 3/4 inch + 1/2 inch + 4 3/4 inches)
First, simplify any fractions:
92 1/2 inches - (1 inch + 3/4 inch + 1/2 inch + 19/4 inches)
Now, add the fractions:
92 1/2 inches - (1 inch + 3/4 inch + 1/2 inch + 4.75 inches)
Combine the inches:
92.5 inches - 1.25 inches - 4.75 inches
Perform the subtraction:
= 92.5 inches - 5.00 inches
= 87.5 inches
Now, let's convert the answer back to feet and inches:
87.5 inches = 7 feet 3.5 inches
Therefore, the correct stud length for this building is 7′3.5″.
Option B, 7′9.5″, is not the correct answer.