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2. Slider-crank linkage - Wikipedia

   en.wikipedia.org/wiki/Slider-crank_linkage

   These generalized relationships are displayed in the form of 3 equations and can be used to determine unknown values for almost any offset slider-crank. These equations express the link lengths, L 1, L 2, and L 3, as a function of the stroke,(ΔR 4) max, the imbalance angle, β, and the angle of an arbitrary line M, θ M.

3. Four-bar linkage - Wikipedia

   en.wikipedia.org/wiki/Four-bar_linkage

   The cases of T 1 = 0, T 2 = 0, and T 3 = 0 are interesting because the linkages fold. If we distinguish folding quadrilateral linkage, then there are 27 different cases. [3] The figure shows examples of the various cases for a planar quadrilateral linkage. [4] Types of four-bar linkages, s: shortest link, l: longest link.

4. Worm-like chain - Wikipedia

   en.wikipedia.org/wiki/Worm-like_chain

   The WLC model envisions a continuously flexible isotropic rod. [1] [2] [3] This is in contrast to the freely-jointed chain model, which is only flexible between discrete freely hinged segments. The model is particularly suited for describing stiffer polymers, with successive segments displaying a sort of cooperativity: nearby segments are ...

5. Airy points - Wikipedia

   en.wikipedia.org/wiki/Airy_points

   For example, a 1000 mm length gauge would have an Airy point separation of 577.4 mm. A line or pair of lines would be marked onto the gauge 211.3 mm in from each end. Supporting the artifact at these points ensures that the calibrated length is preserved. Airy's 1845 paper [1] derives the equation for n equally spaced support points. In this ...

6. Telescopic cylinder - Wikipedia

   en.wikipedia.org/wiki/Telescopic_cylinder

   Typically the collapsed length of a telescopic cylinder is 20 to 40% of the fully extended length depending on the number of stages. [1] Some pneumatic telescoping units are manufactured with retracted lengths of under 15% of overall extended unit length. [ 2 ]

7. Piston motion equations - Wikipedia

   en.wikipedia.org/wiki/Piston_motion_equations

   For rod length 6" and crank radius 2" (as shown in the example graph below), numerically solving the acceleration zero-crossings finds the velocity maxima/minima to be at crank angles of ±73.17615°. Then, using the triangle law of sines, it is found that the rod-vertical angle is 18.60647° and the crank-rod angle is 88.21738°. Clearly, in ...

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   mail.aol.com

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9. Hydraulic cylinder - Wikipedia

   en.wikipedia.org/wiki/Hydraulic_cylinder

   Small-bore cylinders usually have 4 tie rods, and large bore cylinders may require as many as 16 or 20 tie rods in order to retain the end caps under the tremendous forces produced. Tie rod style cylinders can be completely disassembled for service and repair, and they are not always customizable. [10]