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
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