Final answer:
To determine the allowable service live load on a cantilever beam, the formula wl = (f'c * Ac * Acs * dc) / (1.25 * Ls) is used, where wl is the allowable service live load, f'c is the compressive strength of the beam material, Ac is the cross-sectional area of the beam, Acs is the cross-sectional area of the reinforcement, dc is the unit weight of concrete, and Ls is the span length of the beam.
Step-by-step explanation:
To determine the allowable service live load on a cantilever beam, we need to calculate the maximum load that the beam can support without experiencing failure. This load is typically evaluated based on factors such as the strength of the beam material and the safety factor applied.
The formula to calculate the allowable service live load on a cantilever beam is:
wl = (f'c * Ac * Acs * dc) / (1.25 * Ls)
Where:
- wl is the allowable service live load
- f'c is the compressive strength of the beam material
- Ac is the cross-sectional area of the beam
- Acs is the cross-sectional area of the reinforcement
- dc is the unit weight of concrete
- Ls is the span length of the beam
Using the given values:
- f'c = 4 ksi
- fy = 60 ksi
- dc = 150 pcf