A procedure to calculate the stress and contact force in a beam taking into account of the change of elastic modulus of the material is outlined. Making use of published data, the mathematical relationship of the secant modulus and applied stress is found. The stress and contact force can be calculated directly from a closed form expression.
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References
1.
ParikhE.ShapiroE.Report MRL-76-PR-41 Spring Designers’ Data Package — Stress Relaxation and Secant Modulus, 1975 (Metals Research Laboratories, Olin Corporation, New Haven, CT).
2.
ParikhE.ShapiroE.Report MRL-76-PR-8 First Supplement to the Spring Designers’ Data Package— Secant Modulus of Alloys 230, 260, 422, and 425, 1976 (Metals Research Laboratories, Olin Corporation, New Haven, CT).