Final answer:
The question asks for the deflection of a rectangular beam using the Double Integration Method, requiring integration of moment equations and application of boundary conditions along with material and geometric properties of the beam.
Step-by-step explanation:
The question pertains to the deflection of a rectangular beam subject to a certain distributed load and a point load at the end. To solve for the deflection of the beam, one would typically employ the Double Integration Method, which involves integrating the moment of inertia equation twice in regard to the length of the beam.
An additional step involves applying boundary conditions relevant to the specific beam configuration to solve for integration constants. The material's Young's modulus (E), the beam's dimensions, the point load (P), the distributed load (w), and the length (L) of the beam would be used in the calculations.
The provided references to equations and specific values (such as the dam area and forces), however, appear disconnected from the actual question, likely due to a misunderstanding. Therefore, we cannot provide a direct solution to this specific engineering problem without the appropriate context and relevant equations.
Referring back to a solid mechanics or structural engineering textbook would provide the necessary theoretical framework for solving such a problem using the Double Integration Method. The dimensions of the beam, the modulus of elasticity, and the applied loads would be the key data inputs needed for the calculations.