Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Structural Mechanics
Beam Analysis
Shear Forces
Bending Moments
Deflection

Formulas

Shear force formula: V = dM/dx
Bending moment formula: M = ∫V dx
Deflection formula: δ = (PL^3) / (48EI)

Theorems

Equilibrium equations for beams
Maxwell's theorem of reciprocal deflections

Suitable Grade Level

College-level Engineering (Civil or Mechanical Engineering)