Step-by-step explanation:
To find the maximum service concentrated live load that can be applied to the cantilever beam, we need to consider the maximum bending moment that the beam can withstand without exceeding its maximum allowable bending stress.
First, we need to calculate the maximum bending moment due to the dead loads. The dead loads cause a linear increase in bending moment along the length of the cantilever. The maximum bending moment due to the dead loads occurs at the free end of the cantilever and is equal to the product of the dead load per unit length and the length of the cantilever squared.
Maximum bending moment due to dead loads = (1.2 k/ft * 10 ft^2) / 8 = 1.5 k*ft
Next, we need to calculate the maximum bending moment that the cantilever can withstand. This can be found using the maximum allowable bending stress and the section modulus of the beam. The maximum bending stress can be found from the material properties and the maximum allowable bending stress specified by the building code.
Once the maximum allowable bending stress and the maximum bending moment due to dead loads have been determined, the maximum service concentrated live load that can be applied to the cantilever can be found by subtracting the maximum bending moment due to dead loads from the maximum bending moment that the cantilever can withstand and dividing the result by the distance from the pin to the point of application of the live load.
Maximum service concentrated live load = (Maximum bending moment that the cantilever can withstand - Maximum bending moment due to dead loads) / (2 ft)
Note: The actual maximum service concentrated live load will depend on the specific material properties, dimensions, and loading conditions of the cantilever. This is just an estimate based on the information provided.