Moment- axial force intrection

Hi, I have this equation for moment-axial force interaction: 0.25*(M/M0)^2 + (N/N0) = 1. This equation produces the following curve. Now, I need to make a change to this equation so that the first term becomes (M/M0)^2, and the second term can be changed while keeping (N/N0). The other side of the equation remains the same. ((M/M0)^2+?? = 1). I need to get the same curve as in the figure.

2 Comments

You currently have an equation of the form
and you want an equation of the form
with C currently unknown.
Let us solve:
A/4 + B = 1 --> A + 4*B = 4 --> A = 4 - 4*B
and your target is
A + C = 1 --> A = 1 - C
so 4 - 4*B = 1 - C and solve for C, gives C = 1 + 4B - 4 --> C = 4*B - 3
So your target equation is then
A + (4*B - 3) == 1
Thank you for this answer but that will affect the other side of the equation: A+4B=4. For more clarification, I use this equation ((N/N0)^2+(V/V0)^+(Mx/VMx0)^2)+ (My/Vy0)^2=1) for the plasticity limit. I have a problem with the first term of this equation only, and it does not work correctly with the rest of the other terms. Therefore, I want to modify this term only to obtain acceptable results for plasticity.

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Answers (0)

Asked:

on 10 Dec 2023

Commented:

on 11 Dec 2023

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