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The Sigma methodology, heavily detailed in the academic works of authors like Ivan Barca, focuses on the structural integrity, stress analysis, and fatigue life of mechanical components. It provides a mathematical framework to evaluate how machine elements handle multi-axial loads, cyclic stress, and structural deformation. Core Engineering Focus Areas Stress Concentration Factors (

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[Given Inputs] - Torque (T) = 500 Nm - Bending Moment (M) = 350 Nm - Allowable Shear Stress (τ_allow) = 50 MPa [Step 1: Calculate Equivalent Torque] T_e = √(M² + T²) T_e = √(350² + 500²) = 610.33 Nm [Step 2: Apply Torsion Formula for Diameter (d)] d = [ (16 * T_e) / (π * τ_allow) ]^(1/3) d = [ (16 * 610.33) / (π * 50 * 10^6) ]^(1/3) d ≈ 0.0396 meters or 39.6 mm [Conclusion] Specify a standard stock shaft diameter of 40 mm to ensure structural safety.