Final answer:
To determine the allowable service live load on a cantilever beam, use the formula wl = (1.2 * dead load + 1.6 * live load) * safety factor. Given the dead load is due to the beam weight, substitute the given values and solve for wl.
Step-by-step explanation:
The allowable service live load, wl, on a cantilever beam can be determined using the formula:
wl = (1.2 * dead load + 1.6 * live load) * safety factor
Given that the dead load is due to the beam weight, we can assume a value for the dead load. Let's say it is 100 kips.
Substituting the given values into the formula, we have:
wl = (1.2 * 100 + 1.6 * wl) * safety factor
To solve for wl, we need to know the value of the safety factor. Once we have the safety factor, we can rearrange the equation to solve for wl.