how to rewrite an equation in terms of another equation?

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Omidreza Ghafarinejad 2015-4-26

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https://ww2.mathworks.cn/matlabcentral/answers/213587-how-to-rewrite-an-equation-in-terms-of-another-equation

评论： Star Strider 2015-4-26

采纳的回答： Star Strider

Hi. I have an equation for example like this:

sigma = 4*q*y^3/(b*h^3)

and I introduce that:

I = b*h^3/12

now I want to know how can I rewrite "sigma" in terms of "I"?

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Omidreza Ghafarinejad 2015-4-26

编辑：Omidreza Ghafarinejad 2015-4-26

The question is very simple. I want to rewrite sigma in terms of I. I don't want to do it by hand. I want matlab to do this job for me. Consider that the sigma here is just an example. I have 3 equations that are longer than sigma here.Calculating all of them in terms of "I" takes so much time so I want matlab to do it for me. For example it should show me the sigma like this:

sigma = q*y^3/3*I

pfb 2015-4-26

Ok, now that you have explained it, I understand. Perhaps I'm a bit slow.

Anyway, duplicating the question in the "tags" field is not very helpful.

Referring to symbolic calculations would have been more helpful.

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Star Strider 2015-4-26

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This works:

syms q y b h I
sigma = 4*q*y^3/(b*h^3);
Eq1 = I == b*h^3/12;
b = solve(Eq1,b);
sigma = subs(sigma)

produces:

sigma =
(q*y^3)/(3*I)

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Omidreza Ghafarinejad 2015-4-26

thanks. it worked

Star Strider 2015-4-26

My pleasure.

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