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)
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