Math Problem Statement

  1. Simply supported beam 8 m length has a 2 000 kg load at the center. The flexural stress is 25 000 kPa. Find the sectionmodulus. A. 6 434.56 in3 B. 1 846. 56 in3 C. 95.78 in3 D. 79.82 in3

Solution

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Math Problem Analysis

Mathematical Concepts

Mechanics of Materials
Stress and Strain
Bending Moment
Section Modulus

Formulas

Flexural stress formula: σ = M / Z
Bending moment for simply supported beam: M = (W * L) / 4
Conversion: 1 m^3 = 61,023.7 in^3

Theorems

Stress Distribution in Beams
Moment-Curvature Relation

Suitable Grade Level

Undergraduate (Engineering students)