I have a query regarding the SOM, if I increase the tensile strength of a material then is there any formula to make relation between Young’s Modulus and Tensile Strength(who the Young’s Modulus changes). Actually I have to design a component to control the deflection for certain load, I have to choose the correct material for this but I have not known the Young’s Modulus but know the tensile strength for the same.

Hello Gupreet,

If your component's shape is already defined, you can find the minimum acceptable Young's Modulus using the classic formula (e.g., for an axially loaded component of uniform cross-sectional area):

Delta = (FL)/(EA), where F is the axial force, L is the length of the component, E is your minimum acceptable Young's modulus, and A is the cross-sectional area.

Since you know the maximum allowable deflection, this formula can give you the minimum acceptable Young's Modulus (if you know all the other variables.) Then you can use materials textbooks, or a searchable online resource like MatWeb to find a material that meets your minimum Young's moduls requirements and your minimum tensile strength requirements.

If the loading case is not axial, there are other formulas available to calculate E given a certain deflection. If you're using some FEA software, then you can play around with E in that software to see what the minimum allowable value is.

Good luck!

David