¶ = FL/(p E R1 R2)
Where
¶ = = the deformation
F = the load or force
L = the length of the object in the direction that the force is acting
p = Pi (3.14159265358979)
E = the Modulus of Elasticity of the material
R1 = the radius at the small end of the cone
R2 = the radius at the large end of the cone
This equation works for tapered cylinders that don't get too small at the small end. The answers become meaningless (they approach infinity) as the radius approaches zero.
You have to use several menus to get to this form. From the Main menu, choose “Strength of Materials”; from there choose “Elastic Strain”. Once the Elastic Strain sub-menu is open, you have three choices; choose “Tapered Cross-Section, Single Material”.
When entering the required information, it is imperative that the units used are consistent. For instance, if pounds per square inch are used for the modulus of elasticity, quantities must be entered in units of pounds and inches.
First choose whether you want to use p.s.i. or N/mm²; next choose how many places beyond the decimal point you like the answer carried.
Enter the Force, the length, the large radius, the small radius, and the Modulus of Elasticity in the text boxes next to the questions asked. When entering modulus of elasticity values like 30,000,000 pounds per square inch, as would usually be used for steel, you may enter as 30e6 as a shortcut.
Press Calculate. The strain and stress values are shown on a separate Answers form. Answers are valid if the stress is from a static load and is within the elastic limit of the material in question.
Use the Clear button to clear all of the text boxes; however this is not necessary in order to do another calculation. You may simply type over the previous entries.
You may send the page to your default printer by pressing Print.
Press Menu to return to the main menu selection area.
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