If the runs are R1 = 14" and R2 = 27" with a load weight of 12,000 lbs, what is the load weight at point X?

To determine the load weight at point X, we need to use the concept of moments and the principles of static equilibrium, specifically regarding distributed loads along a multi-run configuration.

Given the runs R1 and R2, which represent distances from the pivot point to each of the load points, we can apply the principle of moments which states that the sum of the moments around any point must equal zero for the system to be in balance.

Calculating the moments for each run involves multiplying the load weight by the respective run distances. In this scenario, with a total load of 12,000 lbs acting at a distance of R1 and R2:

1. The moment contribution from the first run, R1, is influenced by the weight concerning that distance.
2. The moment contribution from the second run (R2) does the same with its own distance.

To find the load at point X, we calculate the ratio of the distances (R1 and R2) relative to the total distance involved. The load at point X is determined by adjusting the original load weight by this ratio. By applying these principles correctly, the resultant load weight at point X calculates out to be 7,902 lbs, which corresponds to the appropriate balance of