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Using MathCAD to find point of zero shear

Using MathCAD to find point of zero shear

Using MathCAD to find point of zero shear

(OP)
I'm trying to set up an equation in MathCAD to find the point of zero shear in a sheet pile wall. It returns an imaginary number. If you look on step 5 of the attached pdf it returns an answer of y-12.87ft when reduced to a workable quadratic equation. I'm trying to skip this step and solve for y. Does anyone have any suggestions? Thanks.   

RE: Using MathCAD to find point of zero shear

(OP)
Ummmm K. looks like I solved my own problem. If you look on the attached screed grab of the Mathcad sheet you'll notice I added F5 and didn't subtract it. Now the sheet works. You gotta watch those pluses and minuses gang.  

RE: Using MathCAD to find point of zero shear

Dropping the "z" does not allow opening in Version 13.

RE: Using MathCAD to find point of zero shear

(OP)
My mistake. I guess it only works if you have v.14. I know you can take v.13 files and add the "z" and turn it into a v.14 file but apparently not the other way around.  

RE: Using MathCAD to find point of zero shear

Carnegie-

The cantilever sheet pile analysis in the Pile Buck Steel Sheet Piling Design Manual includes a "pivot point", below which the passive pressure reverses to the active side of the sheet.  Your formulas don't seem to reflect a pressure reversal and result in a less consevative depth of embedment.

RE: Using MathCAD to find point of zero shear

(OP)
Thanks. These formulas were written by the NYSDOT Geotechnical Dept. I imagine the exclusion of the pressure reversal is compensated for by a much lower allowable stress of 25 ksi.  

RE: Using MathCAD to find point of zero shear

(OP)
Thanks for keeping me up on my game. That's why I like to post things here. Please look at first paragraph, part B, page 9.  

RE: Using MathCAD to find point of zero shear

Oh, I see. The NYSDOT formulas use a so-called simplified method, and requires the resulting depth of embedment to be increased by 20% to account for the simplification.  There is no pivot point in the simlified analysis.  If you want to have a look at the conventional method, you can find it at SlideRuleEra's web site, in the US Steel Sheet Piling Design Manual

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