Hertz Contact Stress Calculator

Calculate contact radius a = (3FR/(4E*))^(1/3) and maximum pressure p_0 = 3F/(2πa²) for sphere-on-flat contact. Compute reduced modulus 1/E* = (1−ν_1²)/E_1 + (1−ν_2²)/E_2.

2D stress state at a point. All stresses in MPa.

σx — Normal Stress X (MPa)
σy — Normal Stress Y (MPa)
τxy — Shear Stress (MPa)
⚙ Mechanical Note: Results are based on standard textbook formulas and ISO/AASHTO references. Always verify critical designs with applicable codes (ISO 898, AASHTO 1993, AISC, Eurocode 3) and a qualified engineer.
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How to Use

Enter the values for the patient or scenario you are assessing. Calculate contact radius a = (3FR/(4E*))^(1/3) and maximum pressure p_0 = 3F/(2πa²) for sphere-on-flat contact. Compute reduced modulus 1/E* = (1−ν_1²)/E_1 + (1−ν_2²)/E_2. Use the hertz contact stress result to inform your clinical assessment.

Frequently Asked Questions