As mechanisms approach the micro scale, manufacture and assembly of linear coil springs becomes nearly impossible. For this reason, compliant functionally binary pinned-pinned segments are frequently used in place of them. A new pseudo-rigid-body model (PRBM) is presented for circular functionally binary pinned-pinned (FBPP) segments that undergo large, nonlinear deflections for both tension and compression. A new method of evaluating the maximum moment in the beam is presented, called the focal moment method, which significantly increases the accuracy of the force for a given displacement. This paper also shows how some FBPP segments can be modeled as simple linear tension/compression springs. The deflection limits for a given maximum error can be determined analytically, thereby making it possible to use optimization algorithms in the design of these springs. The effect of the size of the rigid pin joints is also discussed.

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