Re: [sympy] GSOC Continuum mechanics 2D beam solving system

[SUBHASH SAURABH]

I have completed my application and submitted it to Sympy wiki. Here is the 
link 
https://github.com/sympy/sympy/wiki/GSoC-2018-Application-Subhash-Saurabh:-Improving-2D-Beams-and-Implementing-3D-beams

Jason , Sartaj can you please review my application and suggest if any 
changes/addition are required.

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Re: [sympy] GSOC Continuum mechanics 2D beam solving system

[Sartaj Singh]

Hi Subhash,

I will suggest starting writing the proposal, and adding each piece of
functionality piece by piece. It will help you think about the API more
carefully and also give you an idea of the timeline. It's important to make
a proposal that fits well with the GSoC timeline.

On 11 March 2018 at 18:10, SUBHASH SAURABH 
wrote:

> One more thing that I think can be implemented by Singularity function is
> Influence Line Diagram(ILD) . After implementing plotting for shear force
> and bending moment plotting of ILD can also be added.
>
> We can implement a function compute_ild that takes position of a beam as
> argument and returns the ILD.
>
> Jason what do think about it. Should I go ahead and include this in
> proposal as well .
>
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-- 
Regards
*Sartaj Singh*

*Mathematics and Computing*,
Indian Institute of Technology,
Varanasi - 221 005 INDIA

E-mail: singhsarta...@gmail.com, *sartaj.singh.ap...@itbhu.ac.in
*

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Re: [sympy] GSOC Continuum mechanics 2D beam solving system

[SUBHASH SAURABH]

One more thing that I think can be implemented by Singularity function is 
Influence Line Diagram(ILD) . After implementing plotting for shear force 
and bending moment plotting of ILD can also be added.

We can implement a function compute_ild that takes position of a beam as 
argument and returns the ILD.

Jason what do think about it. Should I go ahead and include this in 
proposal as well .

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Re: [sympy] GSOC Continuum mechanics 2D beam solving system

[Jason Moore]

Subash,

These all sound like great ideas! Looking forward to the proposal.

Jason

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On Thu, Mar 8, 2018 at 6:34 AM, SUBHASH SAURABH  wrote:

> I have gone through the current continuum mechanics package and I think
> the following can be implemented in this summer.
>
> 1. Improve the beam module so that it can solve for indeterminate beams.
> 2. Implement plotting of shear_force, bending_moment, slope and deflection.
> 3. Implement CrossSection class that can calculate second moment using the
> given cross-section.
> 4. Implement a JointBeam class that can join multiple beams and then the
> entire system can be solved.
> 5. Implement a function that gives the stress and strain at any given
> location (in 2D).
> 6. Implement a 3DBeam class that can solve a beam in 3D and can give the
> stress and strain any arbitrary point.
>
> I will start working on the formal proposal from Monday.
> Jason it will be great if you can suggest some other features that I have
> missed.
>
>
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Re: [sympy] GSOC Continuum mechanics 2D beam solving system

[SUBHASH SAURABH]

I have gone through the current continuum mechanics package and I think the 
following can be implemented in this summer.

1. Improve the beam module so that it can solve for indeterminate beams.
2. Implement plotting of shear_force, bending_moment, slope and deflection.
3. Implement CrossSection class that can calculate second moment using the 
given cross-section.
4. Implement a JointBeam class that can join multiple beams and then the 
entire system can be solved.
5. Implement a function that gives the stress and strain at any given 
location (in 2D).
6. Implement a 3DBeam class that can solve a beam in 3D and can give the 
stress and strain any arbitrary point.

I will start working on the formal proposal from Monday. 
Jason it will be great if you can suggest some other features that I have 
missed.


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Re: [sympy] GSOC Continuum mechanics 2D beam solving system

[SUBHASH SAURABH]

While solving different beam problems I found that currently only 
determinate beams can be solved (simply supported, cantilever, 
overhanging). 
However it is unable to solve indeterminate beams (fixed, propped 
cantilever and  continuous beams).

For fixed beam
>>> from sympy.physics.continuum_mechanics.beam import Beam
>>> from sympy import symbols, Piecewise
>>> E, I = symbols('E, I')
>>> R1, R2, R3, R4 = symbols('R1, R2, R3, R4')

>>> b = Beam(4, E, I)
>>> b.apply_load(R1, 0, -1)
>>> b.apply_load(R2, 0, -2)
>>> b.apply_load(R3, 4, -1)
>>> b.apply_load(R4, 4, -2)
>>> b.apply_load(6, 2, -1)
>>> b.bc_deflection = [(0, 0), (4, 0)]
>>> b.bc_slope = [(0,0), (4,0)]

>>> b.solve_for_reaction_loads(R1,R2,R3,R4)
>>>b.shear_force()
R3*SingularityFunction(x, 4, 0) + R4*SingularityFunction(x, 4, -1) + (-R3 - 
6)*SingularityFunction(x, 0, 0) + (4*R3 - R4 + 12)*SingularityFunction(x, 0, 
-1) + 6*SingularityFunction(x, 2, 0)
>>> b.bending_moment()
R3*SingularityFunction(x, 4, 1) + R4*SingularityFunction(x, 4, 0) + (-R3 - 6
)*SingularityFunction(x, 0, 1) + (4*R3 - R4 + 12)*SingularityFunction(x, 0, 
0) + 6*SingularityFunction(x, 2, 1)

Currently it reduces from 4 reactions to 2 reactions .
However these type of problem can easily be solved using various methods 
for indeterminate analysis for example - three moment theorem .

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Re: [sympy] GSOC Continuum mechanics 2D beam solving system

[SUBHASH SAURABH]

I am currently working on this problem and I will submit a PR as soon as 
possible.

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Re: [sympy] GSOC Continuum mechanics 2D beam solving system

[Jason Moore]

Looks like a good starting point. i recommend opening an issue about this.

moorepants.info
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On Fri, Feb 23, 2018 at 9:55 AM, SUBHASH SAURABH <
subhashsaurabh...@gmail.com> wrote:

>  In this PR  Sampad Saha
> mentioned to check if the beam bending works with units or not.
>
> Currently it doesn't work and I think it requires some changes in the
> units module as well as in continuum_mechanics package.
>
> For the code snippet
>
> from sympy import *
> from sympy.physics.units import meter, kilogram, newton, second, kilo
> from sympy.physics.continuum_mechanics.beam import Beam
> E, I = symbols('E, I')
> R1, R2 = symbols('R1, R2')
> b = Beam(3*meter, E*newton/meter**2, I*meter**4)
> b.apply_load(-8*kilo*newton, 0, -1)
> b.apply_load(R1*kilo*newton, 1, -1)
> b.apply_load(R2*kilo*newton, 3, -1)
> b.apply_load(12*kilo*newton, 3, -2)
> b.bc_deflection = [(1, 0), (3, 0)]
> b.solve_for_reaction_loads(R1, R2)
> print(b.reaction_loads)
>
>  It currently gives ValueError
>
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Re: [sympy] GSOC Continuum mechanics 2D beam solving system

[SUBHASH SAURABH]

 In this PR  Sampad Saha 
mentioned to check if the beam bending works with units or not.

Currently it doesn't work and I think it requires some changes in the units 
module as well as in continuum_mechanics package.

For the code snippet

from sympy import *
from sympy.physics.units import meter, kilogram, newton, second, kilo
from sympy.physics.continuum_mechanics.beam import Beam
E, I = symbols('E, I')
R1, R2 = symbols('R1, R2')
b = Beam(3*meter, E*newton/meter**2, I*meter**4)
b.apply_load(-8*kilo*newton, 0, -1)
b.apply_load(R1*kilo*newton, 1, -1)
b.apply_load(R2*kilo*newton, 3, -1)
b.apply_load(12*kilo*newton, 3, -2)
b.bc_deflection = [(1, 0), (3, 0)]
b.solve_for_reaction_loads(R1, R2)
print(b.reaction_loads)

 It currently gives ValueError 

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Re: [sympy] GSOC Continuum mechanics 2D beam solving system

[Jason Moore]

Subhash,

I recommend trying to solve beam problems with the existing code. You will
discover limitations of the current software in that process.

Jason

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On Sat, Feb 10, 2018 at 3:16 AM, SUBHASH SAURABH <
subhashsaurabh...@gmail.com> wrote:

>
> Hello,
>
> I want to work on the 2D beam solving system in GSOC this year.
>
> I have some idea about beam stress/strain analysis as I having taken few
> courses(Solid Mechanics, Structural Analysis 1,2) related to it in my
> college(IIT Guwahati)
>
> I have also submitted some PR
> to
> sympy repo.
>
> Is there any bug , incomplete PR related to 2D beam solving system so that
> I can get familiar with it?
>
> Thanks
>
> Subhash Saurabh
>
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[sympy] GSOC Continuum mechanics 2D beam solving system

[SUBHASH SAURABH]

Hello, 

I want to work on the 2D beam solving system in GSOC this year. 

I have some idea about beam stress/strain analysis as I having taken few 
courses(Solid Mechanics, Structural Analysis 1,2) related to it in my 
college(IIT Guwahati) 

I have also submitted some PR 
to
 
sympy repo.

Is there any bug , incomplete PR related to 2D beam solving system so that 
I can get familiar with it?

Thanks 

Subhash Saurabh

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