![]() ![]() We use the letter j in electrical engineering because the letter i is reserved for instantaneous current. In a complex number x + jy, x is called the real part and y is called the imaginary part. See our Electrical, RF and Electronics calculators and Electrical Engineering Converters.Ī complex number z can be expressed in the form z = x + jy where x and y are real numbers and j is the imaginary unit commonly known in electrical engineering as the j-operator that is defined by the equation j² = –1. Using complex numbers, we can do four arithmetic operations with quantities that have both magnitude and angle, and sinusoidal voltages and other AC circuit quantities are precisely characterized by amplitude and angle. Complex numbers allow mathematical operators with phasors and are very useful in the analysis of AC circuits with sinusoidal currents and voltages. NYSDOT Scupper Program User Manual, v1.0 (1.In electrical engineering and electronics, when dealing with frequency-dependent sinusoidal sources and reactive loads, we need not only real numbers, but also complex numbers to be able to solve complex equations. Issued March 2021, Last updated March 2021 The following file contains an Excel spreadsheet used to determine scupper locations on a bridge superstructure. Questions - Eric Lantzy (518) 485-5270, Email: Joint Opening Spreadsheet (35 kb) Issued September 2020, Last updated September 2022 The following file contains an Excel spreadsheet used to calculate the joint opening size for NYS Armorless Bridge Joints. Mathcad V15 LRFD Elastomeric Bridge Bearing Worksheets in USC units (2.0 Mb) Questions - Troy Soka (518) 485-0138, Email: Prime 7.0 LRFD Elastomeric Bridge Bearing Worksheets in USC units (1.0 Mb) They are available for download in USC units only. The following zipped file contains Mathcad worksheets that analyze and design elastomeric bridge bearings in accordance with the AASHTO LRFD specifications 2012 with 2013 Interim Revisions. Mathcad Prime 7.0 LRFD Abutment Worksheets in USC units, Lat Updated August 2021 (1.0 Mb) Huda (518) 457-5877, Email: Prime, LRFD Retaining & Wing Wall Worksheets in USC units, Last Updated May 2021 (2.1 Mb) Issued July 2009, Last updated August 2021 ![]() The Mathcad Prime 7.0 Worksheets were created to analyze and design Abutments and Wing Walls in accordance with AASHTO LRFD Bridge Design Specifications, 9th Edition, 2020. Mathcad - LRFD Abutment and Wing Wall Worksheets Questions - Mengisteab Debessay (518) 485-9117, Email: Prime 8.0 - Fatigue Life Evaluation Worksheet, Last Updated July 2020 (363 Kb)įatigue Life Evaluation Worksheet User Guide, Last Updated July 2020 (533 Kb) The worksheets do not include the program, visit for information about obtaining the Mathcad program. The MathCad worksheet was created to check the remaining fatigue life of welds for use in determining automatic exemption of Category D, E, and E’ welds per the NYSDOT Bridge Inspection Manual, Appendix C, Item 3, available here MathCad Fatigue Life Evaluation Worksheet By downloading any programs or worksheets, you are agreeing to the above disclaimer. Although this program has been subjected to many tests - all with satisfactory results - no warranty, expressed or implied is made by the New York State Department of Transportation as to the accuracy and functioning of the program, nor shall the fact of distribution constitute any such warranty, and no responsibility is assumed by the New York State Department of Transportation in any connection therewith. ![]()
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