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["Beam Parameters"]
[]
["L","1",null,null,"To use: The value of k (cell F11) needs to be optimized using the solver so that a (cell I11) is equal to apred (cell M11). The Solver is already set up to do this."]
["w","0.05"]
["t","0.05"]
["E","70000000"]
[]
["I",{"$f":"B4*B5^3/12","v":5.2083333333333346E-7}]
[]
["R","Direction (deg)","a","b","q2 (deg)","k","Difference^2","q2 (rad)","a","y (rad)","f1","f2","apred","kmin"]
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{"sheet":"Elliptic Integrals","index":2,"n_rows":34,"n_cols":9,"rows_kept":34,"cut":false,"hidden":false,"merged":[]}
["TITLE:","VB Functions for Elliptic Integrals",null,null,null,null,"REVISED:","2012-03-05","© 2002"]
["SUBJECT:","Mathematics, Compliance, Bending Beams, Elliptic Integrals",null,null,null,null,"REVISION:","1.1","Jon Wittwer"]
[]
["TO Create an ADD-IN, just save this file as a \".xla\" type, and place it in your \"Addins\" directory"]
[]
["REFERENCES"]
[]
["1) Howell, Larry L., 2001, Compliant Mechanisms, John Wiley & Sons, New York. (see pg. 46)"]
[]
["2) Handbook of Mathematical Function with Formulas, Graphs, and Mathematical Tables"]
["Edited by M. Abramowitz and I.A. Stegun"]
["AMS 55"]
["U.S. Department of Commerce"]
["National Bureau of Standards, Applied Mathematics Series - 55"]
[]
["3) Handbook of Elliptic Integrals for Engineers and Physicists, by P.F. Byrd and M.D.Friedman"]
[]
["4) L.V. King, \"On the Direct Numerical Calculations of Elliptic Functions and Integrals\""]
[]
["HELP and an EXAMPLE"]
[]
["COMPARISON to the tables in Handbook of ..."]
["j",70,"deg"]
["a",50,"deg"]
[]
["f",{"$f":"B23*PI()/180","v":1.2217304763960306},null,"Ellip_F():",{"$f":"Ellip_F(B26,B27)","v":1.4067685460097679}]
["k",{"$f":"SIN(B24*PI()/180)","v":0.76604444311897801},null,"Ellip_E():",{"$f":"Ellip_E(B26,B27)","v":1.074997960335536}]
[]
[]
["\"k\" is called the modulus and is always between 0 and 1  (0 < k < 1)"]
["\"f\" is called the amplitude, and must be in radians"]
["When f is p/2, Ellip_E() and Ellip_F() give the 'complete' elliptic integrals"]
[]
[null,null,null,null,null,null,null,null,"Revision History"]