Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Structural Analysis
Beam Theory
Flexural Rigidity

Formulas

Reactions at supports: ∑F_y = 0, ∑M = 0
Bending Moment Formula: M(x) = R_Ax - qx^2/2
Deflection of beam: δ(x) = (qL^4)/(8EI) for uniform loads
Shear force calculation: V(x) = qL - RA

Theorems

Euler-Bernoulli Beam Theory
Moment-Area Theorem

Suitable Grade Level

Undergraduate Civil Engineering