Mathcad

This study explains how the usual simplified formula to calculate thermal efficiency of an internal combustion engine is appears. Described Internet sites with the "reverse" design challenge – you must not to enter raw data and get a response, but you must enter formulas for calculations and verify their correctness (educational task). Fig. 15.1. Otto cycle thermal efficiency - http://twt.mpei.ac.ru/MCS/Worksheets/PTU/otto-cycle-1.xmcd  Fig. 15.2. "Pointwise" calculation of Otto cycle thermal efficiency Fig. 15.3. Ideal gas specific entropy calculation   Fig. 15.4. Ideal gas enthalpy calculation  Fig. 15.5. The site with the calculation and graphical display of the Otto cycle - http://twtmas.mpei.ac.ru/mas/Worksheets/Therm/Otto_anim.mcdFig. 15.6. Start of the test on knowledge of the calculation of the Otto cycle - http://twtmas.mpei.ac.ru/mas/Worksheets/Therm/otto_ideal_cycle_test.mcd Fig. 15.7. End of the test on knowledge of the calculation of the Otto cycle

This study describes approaches to calculate the efficiency of a binary power cycle consisting gas and steam turbines. Links to authors’ web sites with calculations such binary cycles of different types are provided.Fig. 14.1. Calculation of steam turbine part of the combined cycleFig. 14.2. Calculation of gas turbine part of the combined cycleFig. 14.3. Calculation of thermal efficiency for the simplest ideal combined cycleFig. 14.3a. T-s chart of the simplest ideal combined cycleFig. 14.3b. h-s chart of the simplest ideal combined cycleFig. 14.3c. Corrected h-s chart of the simplest ideal combined cycleFig. 14.3d. Corrected T-h chart of the simplest ideal combined cycleFig. 14.4. CCPP with compressor driven by steam turbine - Расчет КПД парогазовой установки с приводом компрессора от паровой турбиныFig. 14.5. CCPP with single pressure heat recovery steam generator - http://twt.mpei.ac.ru/MCS/Worksheets/PTU/Vv-17.xmcdFig. 14.6. CCPP with single pressure reheat heat recovery steam gen

This study describes how you can build contour lines (isobars, isotherms and isochores) and lines of phase transitions on the state diagrams of water and steam.Fig. 10.1 Water steam isobar, isotherm and isochor on hs-diagramFig. 10.2 Auxiliary operators in the problem of building the water steam isobar, isotherm and isochor   

A typical optimization problem with the objective function, optimization parameters and constraints solved in this study. The search for optimal values of the pressure of the steam extraction from the turbine for feedwater heating to improve the thermal efficiency of the Rankine cycle is used. Symbolic mathematics and graphical tools to solve this problem are described.You can download sheets of figures:Fig. 6.1. Calculation of cycle thermal efficiency of steam turbine with two steam extractions - http://twt.mpei.ac.ru/MCS/Worksheets/PTU/2RegP.xmcdSee please in the attach new version of the sheet 6-01-2RegP-eng-compression.xmcdzw with new function wspHEXPANSIONPTPEFFFig. 6.2. Function of cycle thermal efficiency of steam turbine with two steam extractionsFig. 6.3. Debbuging the function, shown on the Fig. 6.2Fig. 6.4. Optimization of  STP cycle with two extractions points  Fig. 6.5. Graphic illustration of the optimization problem - http://twt.mpei.ac.ru/MCS/Worksheets/PTU/2R

This study explains how cloud algorithms can be used in the heat power processes calculations for the thermal power plants, for example, the processes of expansion or throttling of the steam, compression water in the pump. Information technology for the Internet libraries of equations is provided.Mathcad and Excel sheets of the Study in attachAdd Information!On the site Interactive Equations - Knovelnow (up 2015/09/25) we can use 50 sheets with properties of water and steamYou can download sheets of figures:Fig. 5.1. Calculation Process throttling and expansion of steam in the turbineFig. 5.2. Pump performance calculationFig. 5.3. Thermodynamic parameters of a human heart  Fig. 5.4. Calculation of water mass flow in MS Excel (demonstration of calculated values and formulas used; work with connected WaterSteamPro package)Fig. 5.5. Calculation of water flow rate in Mathcad: usage of a reference to a "cloud" functionFig. 5.6. Calculation of water mass flow rate in SMath: operation w

The study introduces how to use cloud functions and the WaterSteamPro software for calculation of thermophysical properties of water and steam. The thermal efficiency of steam-turbine Rankine cycle calculation is taken as example. A comparison between spreadsheet software and mathematical package is provided.You can download sheets of figures:Fig. 4.1. Link to a cloud Mathcad-worksheet  Fig. 4.2. The calculation of the efficiency of a steam turbine cycle in Mathcad 15 by using the "cloud" functionsFig. 4.3. The calculation of the efficiency of steam turbine cycle with using the functions of the package WaterSteamProFig. 4.4. "Cloud" Mathcad-document functions on the properties of water and steamFig. 4.5. Link to Mathcad-sheet that is stored on your computerFig. 4.6. User function in Mathcad (Rankine cycle)Fig. 4.7. Reference to the calculation of the efficiency of a steam turbine cycleFig. 4.8. The calculation of the efficiency of steam turbine cycle with MS ExcelFig. 4.9. Calcula

In the study you will learn how to use the value of the concentration of a solute in aqueous solutions in computer calculations, how to convert the species concentration using modern computer tools.Fig. 3.1. Problem of solution parametersFig. 3.2. Online calculation of molar mass - http://twt.mpei.ac.ru/MCS/Worksheets/Chem/MW.xmcdFig. 3.3. Direct and inverse functions of density and concentration (mass percentage) of NaCl aqueous solutionFig. 3.4. Online calculation of concentration - http://twt.mpei.ac.ru/MCS/Worksheets/Chem/CRC.xmcdFig. 3.5. Method of sequential approximations in a manual modeFig. 3.6. Freezing temperature of some aqueous solutions depending on temperature - http://twtmas.mpei.ac.ru/mas/Worksheets/Chem/t_freezing.mcdFig. 3.7. Calculation of density of NaCl solution for any type of concentration

This study deals with the use of dimensional quantities in thermal calculations. The main aspects of work with dimensional variables in thermal calculations are given. The concepts of physical and empirical formulas are extended by pseudo-empirical formula concept. Few samples are provided. You can download sheets of figures: Fig. 2.1. Using units in Mathcad 15Fig. 2.2. Working with empirical formulaFig. 2.3. Working with pseudo empirical formulasFig. 2.4. Formula for the conversion of concentrations from the Internet  Fig. 2.5 Conversion of Molarity à Molality Fig. 2.6. Pseudo-empirical Formula as a purely empirical formulaFig. 2.7. Using Formula like a physical oneFig. 2.8 Working with Temperature scalesFig. 2.9 Working with temperature scales in Mathcad 13/14/15  Fig. 2.10 Working with dBFig. 2.11 Working with decibels and a reference to the baseFig. 2.12 Tube CalculationFig. 2.13 Emergency stop during pump-calculationFig. 2.14 "Fixing" the emergency stop with an error&nbs

This study describes the methods of calculation of grids – hydraulic and electric. Emphasis on the mathematical basis of solving such problems. Described methods of improving the efficiency of power supply due to the simultaneous production of heat, electricity and cold. Fig. 17.1 Small boilers on the balcony of an apartment building to heat individual apartmentsFig. 17.1a A centralized system heating and cooling newFig. 17.1b A centralized system heating newFig. 17.2 Calculation of fuel economy on a CHP gas turbine compared to separate power generation (http://twt.mpei.ac.ru/MCS/Worksheets/PTU/Vol-13.xmcd)Fig. 17.3 Determination of equivalent fuel economy for district heating with the turbine type T (district heating) compared to separated production of the same amount of electricity and heat (http://twtmas.mpei.ac.ru/mas/Worksheets/ES/Vol-8.mcd)  Fig. 17.4 Search in GoogleFig. 17.5 Interactive computation of NaCl water solution density (http://twt.mpei.ac.ru/MCS/Worksheets/wate

I created a set of equations that calculates the positions of the two masses with a couple of springs: one to the ground and another between them.  The result looks reasonable as it shows below:Now I am actually performing a tolerance analysis and there are 18 different conditions in a 9x2 matrix.  I vectorized all statements and got as far as it shows below:Rightfully so, each element in the vector has 9x2 matrix nested.  How do I access a particular vector corresponding to a condition?  For example, how do I plot one vector or all vectors?

Hi, everyone,For a vibration SDOF system, when I defined the units for variables like spring stiffness, mass, damper constant...Mathcad tells the plot fails, but when I delete the units, it succeeds.Please see the attachment for both cases.Looking forward to your help.Thank youShawn

Hello everyone!I'm not an experienced user of either Mathcad or this forum, so I apologize if this question is in the wrong place.Sometimes it's needed to calculate the worksheet with attention to certain breakpoints - for example, some values may need manual adjustments.Is it possible to make Mathcad stop calculation upon reaching such breakpoints and give user some kind of prompt?In other words, do not return the final result until all attention points are attended.I hope I was able to explain this clearly!

I want to integrate the following expression in mathcad. the answer should be the following if p(r)=po=constantBut when i try to solve this expression in mathcad i get this:It should give 64 instead of 24. What am i doing wrong.?

I am trying to make changes to matrices with a VBScript Scripted Object. I can get the matrix with worksheet.getValue("Matrix"), but changes I make to that with Matrix.SetElement do not persist outside the script. It seems like the matrix returned by worksheet.getValue is a new object rather than a reference to the one in the worksheet, is that correct? If so is there any way to modify the original matrix from within the VBScript?Thanks,Evan

Does mathcad calculate all polynomials with numerical math or do they have an exact result. Thank you for answering.?

Hi,I am trying to get a solution in mathcad in which we provide a specific value (say 0) initially followed by set of equations and finally giving result.But if the result obtained is <> zero, program will automatically change the initial value until we get the final result (by trial and error) as or nearly zero.this is one example.Please help me solve this using Mathcad.Thanks.

I have a mass-spring system.  I am trying to back-solve four springs (provided in the attached file).There are four masses at which summation of forces are performed and A matrices are obtained.  The attached file shows them in the (Lamda*I - A) format. These springs and masses are configured in four different ways and their first mode natural frequencies are known. Therefore, in my mind, I should be able to use Given/Find in order to find the unknown springs with four equations while setting the determinants of the four matrices to zero. The solver doesn't converge.What is the problem here?  Can this be done?  If not, how else?Your help will be greatly appreciated.Thanks,Eric

Hello folks,this is about a basic issue hence no example sheet.For a lengthy calculation I'd like to read in parameters from excel. As this excel sheet is lenghty as well I want to check first whether the parameters in the Excel sheet match the parameters in my MatchCad sheet (naming and order of parameters). I'm thinking along the lines of making a one-to-one comparison of variable names (not the variable values!) in order to verify a match.Does anybody has an idea how to conduct such a comparison?Thanks in advance for any ideaRaiko

Hi, friends.Is there a way to solve the symbolic solution for a vibration system in mathcad?Such as f(t)=0, and the solution should be in the form of Asin(wt+a)+Bcos(wt+a)Thank you in advance!Looking forward to your help!Shawn

Video Link : 6369

The animation is hereThree frames:

Can you create an animation of this door in the tram?CloseOpenThe start in attach

I am embedding some VB in a Scripted Object within a MathCad worksheet. I am trying to get the Worksheet object so I can get/manipulate some values in the sheet, but when I call ActiveWorksheet (or Worksheets for that matter) on the Application object, nothing is returned.I am inexperienced with VB so forgive anything weird I am doing, but feel free to point it out. Here is what I have basically. I get an error object worksheet is required on the last line of the Sub.Sub getValueEvent_Exec(Inputs,Outputs)  Dim objMC  Dim value  Dim worksheet     Set objMC = CreateObject("MathCad.Application")  Set worksheet =objMC.ActiveWorksheet  Set value = worksheet.getValue("value")End SubThanks,Evan

As suggested by the title, I'm attempting to fit a piecewise-defined curve to a set of data points.  This is also the first time I have used Mathcad, so it is exceedingly likely I'm missing something obvious.  My worksheet is attached to this post.I'm attempting to follow the example at http://www.phys.uconn.edu/~hamilton/phys258/P/genfit.pdf, but when I call the genfit routine, I get the error "This value must be a function".So, question number 1: what is this error message trying to tell me, and how can I resolve it?While I have your attention, I also have question number 2.  The function is a horrible mess because I'm trying to combine data points with continuity restrictions.  I don't know how to specify symbolic relations between fitting parameters (e.g. forcing the second derivative to be continuous at x = 60 yields "e = b + 24").  So I've solved the continuity restrictions by hand and substituted them back in.  Is there a way to get Mathcad to recog

I often see in a bus, tram, metro people with scooters. Here one has a problem - dirty wheels. But you can make sliding wings (fenders) of wheels, which will close at the wheel folding scooter. See. pls the animation.I created the animation in Mathcad and ask someone to do in Creo! Video Link : 6364