Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Statics
Shear Force and Bending Moment Diagrams
Beam Theory
Stress Calculations
Formulas
Shear force equation: V(x)
Bending moment equation: M(x)
Normal stress due to bending: σ = (M * y) / I
Moment of inertia for a rectangle: I = (b * h^3) / 12
Theorems
Euler-Bernoulli Beam Theory
Flexural Stress Formula
Suitable Grade Level
University-level Engineering (Junior or Senior)
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