Math Problem Statement

for right now can you help me with part a

Solution

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Math Problem Analysis

Mathematical Concepts

Mechanics
Stress Analysis
Fatigue

Formulas

Bending stress formula: σ_b = M * c / I
Moment of inertia for circular cross-section: I = π * d^4 / 64
Von Mises stress formula: σ_v = sqrt(σ_b^2 + 3 * τ^2)

Theorems

Von Mises Criterion
Bending Stress Theorem

Suitable Grade Level

Undergraduate Engineering (Mechanical)