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Q: simple matlab program - Numerical approximation ( No Answer,   0 Comments )
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Subject: simple matlab program - Numerical approximation
Category: Science > Math
Asked by: ebooks-ga
List Price: $100.00
Posted: 20 Sep 2005 18:42 PDT
Expires: 22 Sep 2005 19:56 PDT
Question ID: 570344
Hi, 

I have the question laid out in a word document, am providing with a
link to the document. basically i need a simple matlab program with
all the equations given in the document.

link: http://rapidshare.de/files/5343396/shearStress.doc.html

Thank you,
ebokks!!

Clarification of Question by ebooks-ga on 21 Sep 2005 16:30 PDT
Hi,

wondering if some researcher is working on my question! its been
locked since yesterday and so am just curious!! I'll be glad to give
any input, incase

Thank you!

Request for Question Clarification by leapinglizard-ga on 21 Sep 2005 17:02 PDT
I locked your question because I have some Matlab expertise. I own a
copy of the software, but it's not currently installed on my home
machine. I'm going to fetch the discs tonight from my office and start
banging away at your question. Is it very urgent?

leapinglizard

Clarification of Question by ebooks-ga on 21 Sep 2005 19:31 PDT
to be frank, yes it is very urgent!! I was hoping for an answer today.
but it is definitely ok if i can have the answer by evening tomorrow.
does that sound ok to you?

Thanks in advance!!

Request for Question Clarification by leapinglizard-ga on 22 Sep 2005 00:31 PDT
I'll let you know later this morning whether I feel I can finish by evening.

leapinglizard

Request for Question Clarification by leapinglizard-ga on 22 Sep 2005 12:27 PDT
Let me make sure I understand the task correctly.

The input to the Matlab program is to consist of three m-by-n
matrices. Each element of the first matrix is a value (sigma_ii)x_0.
Each element of the second matrix is a pair of values (delta_1,
delta_2). Each element of the third matrix is a pair of values (phi_1,
phi_2). Do we agree so far?

The only part I'm sure I don't understand is the delta:x_j denominator
in the summation on the right-hand side of the first equation.
Everything else is defined but this. It's clearly not the same thing
as delta:x_k, or else the summation could be algebraically simplified.
What is it?

leapinglizard

Clarification of Question by ebooks-ga on 22 Sep 2005 15:04 PDT
actually the equation could be algebraically simple

let me explain you the problem:

assuming a rectangular grid of size M*N. 

known: 1. the value of principal stresses on the boundary of the
rectangle i.e.(sigma)xo and (sigma)yo
2. the value of shear stresses at all(all) the grid points i.e towxy.

aim: to calculate the principal stresses at the interior grid
points(since these values are known on the bundary points) i.e.
(sigma)xm

using the known (sigma)xo on the boundary point and the known shear
stress values at the interior points we need to calculate the
(sigma)xm.

the denominator term is the deltaY, which is the distance between the
two points we are taking the shear stress value difference. distance
between the parallel lines above and below the point.

deltax in the numerator would be the distance along x axis, the point
of known value and the point where we are finding the principal stress
value.

so, if the point in question is the immediate point to the boundary,
we can find the principal stress value, in this case

rhs 1st term is the (sigma)xo on the boundary.
deltaY is the distance along y axis of the two points above and below
the point of queation
deltaX i the distance between the boundary point and the point in question
numerator is the shear stress differences of the points above and
below the point in question.

and we continue so on to calculate the values at all the interior
points in both X and Y direction. (sigma)yo will be the same but as
you know u have y in place of x terms.

we use the same boundary point to caluclate the values at points along
the same line. if we move to a different line(another row in the
gird), then we take the boundary point on th edge

does this help?

Request for Question Clarification by leapinglizard-ga on 22 Sep 2005 19:46 PDT
Now I'm more confused than before. I guess I don't understand enough
about statics, or about the particular context of this problem, to
write what I suspect would be a fairly compact piece of Matlab code.
Anyway, I released the lock on your question quite a while ago.

leapinglizard
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