Hi Jason, As I am thinking to create a another module for solving especially beam problems (suppose *beambending.py) *, what will be its file location? Similarly for Singularity Functions (suppose singularity_function.py), What will be its location?
And what about the names of methods and classes, Can I give any name or we will be discussing it at the time of developing them? --------------------- Regards, Sampad Regards Sampad Kumar Saha Mathematics and Computing I.I.T. Kharagpur On Wed, Mar 16, 2016 at 3:56 AM, SAMPAD SAHA <sampadsa...@gmail.com> wrote: > Thank You Tim and Jason for your suggestions and clearing my doubts. > > We can also have an another module for solving beam problems. As Jason > Have suggested earlier. > > Some of its classes would be Beam, DistributedLoad, PointLoad, Moment. > > We can have the API as:- > > from sympy import SingularityFunction,Beam,DistributedLoad,PointLoad,Moment > b = Beam(length = 1, E = 1.87, I = 12) > Load1 = DistrubutedLoad(start=l/2, end=l, value= 50) > Load2 = PointLoad(location=l/3, value=60) > Load3 = Moment(locaton = 1, value = 40, anticlockwise = True) > b.apply(Load1,Load2,Load3) > b.loadDistribution # Outputs the loading function in the form of > singularity function > b.shearForce # Outputs the Shear Force Function > b.bendingMoment # Outputs the bending Moment Function > b.slope # Outputs the Slope Function > b.deflection # Outputs the deflection Function > > b.plotLoadDistribution # Outputs the plot of load Distribution Curve > b.plotBendingMoment # Outputs the plot of Bending Moment Curve > b.plotDeflection # Outputs the plot of Deflection Curve > > > > > Regards > Sampad Kumar Saha > Mathematics and Computing > I.I.T. Kharagpur > > On Wed, Mar 16, 2016 at 2:45 AM, Tim Lahey <tim.la...@gmail.com> wrote: > >> I agree. One should start directly from the loading function q(x). The >> general steps are: >> >> 1. Start with the loading function q(x) >> 2. Integrate to get the shear function V(x). >> 3. Integrate again to get the bending moment function M(x). >> 4. Integrate to get the slope function E*I*v’(x). >> 5. Integrate to get the displacement function E*I*v(x). >> >> Note that the singularity functions can be multiplied by arbitrary >> functions of x as well. This allows for varied loads and cases where E and >> I vary too. To be strictly correct one should include the integration >> constants as well and then solve for the reaction forces and the constants. >> >> You’ll need to carefully consider how you handle evaluating at transition >> points, especially the beam boundaries. >> >> Cheers, >> >> Tim. >> >> > On Mar 15, 2016, at 4:53 PM, Jason Moore <moorepa...@gmail.com> wrote: >> > >> > I think you'd want the user to input the loads on the beam as >> singularity functions or some higher level abstraction. If you require them >> to manually compute the bending moment then you are defeating the purpose >> of having a CAS do it for you. >> > >> > >> > Jason >> > moorepants.info >> > +01 530-601-9791 >> > >> > On Sun, Mar 13, 2016 at 2:25 PM, SAMPAD SAHA <sampadsa...@gmail.com> >> wrote: >> > Hi Jason, >> > >> > I have a confusion regarding the user inputs for the beam problems. >> > >> > I think that we should take only the Bending Moment Function (in the >> form of singularity functions) and the boundary conditions as inputs. >> > >> > I mean to say that generally in a given beam bending problem, a diagram >> of a beam and distributed loads are provided. So it is not possible to get >> these data as an user input. Rather we can expect that the user would >> formulate the bending moment function, in the form of Singularity function, >> and then provide that function as an input for getting the elastic curve >> equation. >> > >> > Note:- Values of E , I , Boundary Conditions are also expected as an >> input. >> > >> > I need your suggestions. >> > >> > >> > >> > ----------------- >> > Regards, >> > Sampad >> > >> > >> > >> > >> > >> > Regards >> > Sampad Kumar Saha >> > Mathematics and Computing >> > I.I.T. Kharagpur >> > >> > On Sat, Mar 12, 2016 at 11:50 AM, Aaron Meurer <asmeu...@gmail.com> >> wrote: >> > It should give (-1)**n*f^(n)(0) (that is, (-1)**n*diff(f(x), x, >> n).subs(x, 0)), if I remember the formula correctly. >> > >> > Aaron Meurer >> > >> > On Fri, Mar 11, 2016 at 9:00 AM, SAMPAD SAHA <sampadsa...@gmail.com> >> wrote: >> > Hi Aaron, >> > >> > I have a doubt . >> > >> > Do we want: >> > >> > >> > integrate(f(x)*DiracDelta(x, n), (x, -oo, oo)) would output as >> > >> > <image.png> >> > >> > >> > >> > >> > >> > Regards >> > Sampad Kumar Saha >> > Mathematics and Computing >> > I.I.T. Kharagpur >> > >> > On Wed, Mar 9, 2016 at 3:11 AM, Aaron Meurer <asmeu...@gmail.com> >> wrote: >> > DiracDelta(x, k) gives the k-th derivative of DiracDelta(x) (or you >> > can write DiracDelta(x).diff(x, k)). >> > >> > It does look like the delta integrate routines could be improved here, >> though: >> > >> > In [2]: integrate(f(x)*DiracDelta(x), (x, -oo, oo)) >> > Out[2]: f(0) >> > >> > In [3]: integrate(f(x)*DiracDelta(x, 1), (x, -oo, oo)) >> > Out[3]: >> > ∞ >> > ⌠ >> > ⎮ f(x)⋅DiracDelta(x, 1) dx >> > ⌡ >> > -∞ >> > >> > Since the integration rules for derivatives of delta functions are >> > simple extensions of the rules for the delta function itself, this is >> > probably not difficult to fix. >> > >> > Aaron Meurer >> > >> > On Mon, Feb 29, 2016 at 3:39 AM, Tim Lahey <tim.la...@gmail.com> wrote: >> > > Hi, >> > > >> > > Singularity functions are actually extremely easy to implement given >> that we have a Dirac delta and Heaviside functions. Assuming that the Dirac >> delta and Heaviside functions properly handle calculus, it’s trivial to >> wrap them for use as singularity functions. The only thing that will need >> to be added is the derivative of the Dirac delta (assuming it’s not already >> there). I implemented singularity functions in Maple in less than an >> afternoon. >> > > >> > > I was a TA for a Mechanics of Deformable Solids course about 11 or 12 >> times and wrote it to help the students (as we have a site license for >> Maple). I also wrote a set of lecture notes on the topic. >> > > >> > > Cheers, >> > > >> > > Tim. >> > > >> > >> On Feb 26, 2016, at 4:29 PM, SAMPAD SAHA <sampadsa...@gmail.com> >> wrote: >> > >> >> > >> Hi Jason, >> > >> >> > >> Thank you for the explanation. It really helped me. >> > >> >> > >> So, basically we want to start it, firstly, by creating a module >> which would deal with the mathematical operations performed on Singularity >> Functions. After this whole module is prepared, we would focus on how to >> use this module for solving beam problems. Am I correct? >> > >> >> > >> Can you please explain me in brief that what are the mathematical >> operations we wanted to implement on that module? >> > >> >> > >> >> > >> On Friday, February 26, 2016 at 4:54:59 PM UTC+5:30, SAMPAD SAHA >> wrote: >> > >> >> > >> Hi, >> > >> >> > >> I am Sampad Kumar Saha , an Undergraduate Mathematics and Computing >> Student at I.I.T. Kharagpur. >> > >> >> > >> I have gone through the idea page and I am interested in working on >> the project named Singularity Function. >> > >> >> > >> By going through the Idea, I understood that we want to add a >> package to Sympy which can be used for for solving beam bending stress and >> deflection problems using singularity function. Am I correct? >> > >> >> > >> We can by this way:- >> > >> While solving we will be having the moment function as an input >> which we can arrange in the form of singularity functions and then >> integrate it twice to get the deflection curve and we can give the plot or >> the equation obtained of deflection curve as an output. >> > >> >> > >> I have gone through some documents available on internet which have >> brief studies on solving beam bending stress and deflection problems using >> singularity functions. >> > >> >> > >> References:- >> > >> • Beam Deflection By Discontinuity Functions. >> > >> • Beam Equation Using Singularity Functions. >> > >> • Enhanced Student Learning in Engineering Courses with CAS >> Technology. >> > >> Since there is just a brief idea given in the idea page, I have a >> doubt that what are the things other than solving beam bending stress and >> deflection problems to be implemented in the project? >> > >> >> > >> Any type of suggestions are welcome. >> > >> >> > >> >> ========================================================================================================================================== >> > >> Regards >> > >> Sampad Kumar Saha >> > >> Mathematics and Computing >> > >> I.I.T. 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