So, I tried a lot of the free load calculators on the Internet and all of them left something out to get you to subscribe. So, I gave ChatGPT a try. PROMPT
What is the load-bearing capacity, in pounds, of wooden 2x4 beam which is 52 inches and long oriented with the wider face as its vertical height? ANSWER
To calculate the load-bearing capacity of a wooden 2x4 beam with a length of 52 inches and oriented with the wider face as its vertical height, we need to use the formula provided earlier. Here are the calculations:
Width of the beam (b): 3.5 inches
Height of the beam (h): 1.5 inches
Length of the beam (L): 52 inches
Allowable stress for softwood (S): 1,000 pounds per square inch (psi)
First, let's calculate the moment of inertia (I) using the formula:
I = (b * h^3) / 12
I = (3.5 * 1.5^3) / 12
I = 0.984375 square inches
Now, we can calculate the maximum load-bearing capacity (W) using the formula:
W = (5 * S * I) / (4 * L)
W = (5 * 1,000 * 0.984375) / (4 * 52) W = 2,421.875 pounds
Therefore, the load-bearing capacity of the wooden 2x4 beam in this scenario is approximately 2,421.875 pounds.
Can anyone confirm the math?
If so, the next thing I am going to ask ChatGPT is: What is the airspeed velocity of an unladen swallow?