Bi Axial loading formulae rearranging help

In summary, bi axial loading formulae is a mathematical equation used to calculate the stress and strain in a material under two perpendicular loading conditions. It is important to rearrange the formula to make it easier to solve for a specific unknown value and understand the relationship between variables. The common variables in bi axial loading formulae include stress, strain, modulus of elasticity, and cross-sectional area. To rearrange the formula, identify the variable you want to solve for and isolate it on one side of the equation using algebraic rules. Bi axial loading formulae can be used for any material that follows linear elastic behavior and can be described by the formula.
  • #1
StevenBennett
11
0

Homework Statement



image.jpg
image.jpg


I need some help converting and rearranging the first formula to get the next formulas? As I need this for further reference, for a future assignment!

Not homework!
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Homework Equations



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  • #2
You have two linear algebraic equations in two unknowns, correct?

Chet
 
  • #3
Yes that it correct, I just cannot figure out how to reach the equations in image 2
 
  • #4
Please show us your algebra.

Chet
 

1. What is bi axial loading formulae?

Bi axial loading formulae is a mathematical equation used to calculate the stress and strain in a material under two perpendicular loading conditions.

2. Why is it important to rearrange bi axial loading formulae?

Rearranging the formula allows for easier calculation and manipulation of the variables to solve for a specific unknown value. It also helps in understanding the relationship between different variables in the formula.

3. What are the common variables in bi axial loading formulae?

The common variables in bi axial loading formulae include stress, strain, modulus of elasticity, and cross-sectional area of the material.

4. How do I rearrange bi axial loading formulae?

To rearrange bi axial loading formulae, start by identifying the variable you want to solve for. Then isolate that variable on one side of the equation by using algebraic rules such as adding, subtracting, multiplying, or dividing both sides of the equation by a constant or another variable.

5. Can bi axial loading formulae be used for any material?

Bi axial loading formulae can be used for any material as long as the material follows the linear elastic behavior and its stress-strain relationship can be described by the formula.

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