Final answer:
The question refers to structural engineering and involves calculating the allowable service live load for a concrete beam considering dead loads and material properties. Additional information like beam dimensions is necessary to accurately determine the load capacity.
Step-by-step explanation:
The question provided falls under the subject of structural engineering, which is a branch of civil engineering dealing with the analysis and design of structures that support or resist loads. Specifically, the details given—f'c (concrete compressive strength) of 3 ksi, fy (yield strength of steel) of 60 ksi, and dc (unit weight of concrete) of 150 pcf—refer to material properties that are used in the design of concrete structures such as beams. Calculation of allowable service live load involves following design codes and requires additional information such as the span, cross-sectional dimensions, and reinforcement details of the concrete beam. However, framed in an educational and simplified manner, the allowable service live load can be determined by calculating the capacity of the beam considering the given material properties and then subtracting any dead loads, such as the weight of the beam itself, from the total capacity to ensure the live load remains within safe limits.
To solve the typical problems where forces and tensions in structural components are to be found, statics principles are applied. For instance, equilibrium equations would be used to calculate the tension in the cable and the forces at the supports.