What is the maximum bending moment in lb-ft for a beam scenario where Reaction R1 is 225 lbs and it is pinned 12 feet from the load?

To determine the maximum bending moment in a beam scenario, we can use the relationship between the applied load, the distance from the load to the support, and the reaction forces at the supports.

In this case, you have a reaction force R1 of 225 lbs acting at a distance of 12 feet from the point where the load is applied. The bending moment (M) at the location of the load can be calculated using the formula:

[ M = R1 \times d ]

Here, ( d ) represents the distance from the support (reaction) to the point of interest (where the load is applied), which in this case is 12 feet.

When substituting the values into the formula, it becomes:

[ M = 225 , \text{lbs} \times 12 , \text{ft} = 2700 , \text{lb-ft} ]

This calculation shows that the maximum bending moment experienced by the beam due to the load is 2700 lb-ft, which corresponds to the correct answer. Understanding the relationships of forces and distances in beams is crucial for analyzing structural elements, ensuring they can withstand applied loads without failing.