How many inches will a 100-foot steel I beam expand when heated to 1000 degrees?

To determine the amount a steel I beam will expand when heated, one must consider the coefficient of linear expansion for steel, which is approximately 0.0000065 per degree Fahrenheit.

When subjected to a high temperature of 1000 degrees Fahrenheit, the expansion can be calculated using the formula:

Expansion = Original Length × Coefficient of Linear Expansion × Change in Temperature.

First, convert 1000 degrees Fahrenheit to the corresponding change in temperature, which would be influenced by the original temperature of the beam. Assuming the ambient temperature is around 70 degrees Fahrenheit, the change in temperature would be:

1000 - 70 = 930 degrees.

Now, using the original length of the beam (100 feet), convert that length into inches (1 foot = 12 inches):

100 feet × 12 inches/foot = 1200 inches.

Now we can plug the numbers into the expansion formula:

Expansion = 1200 inches × 0.0000065 × 930.

Calculating this:

Expansion ≈ 1200 × 0.0000065 × 930 ≈ 7.29 inches.

This value rounds to approximately 7.5 inches, which corresponds closely with one of the response options. However, after