Strength calculations of columns are very important aspect of engineering. In strength calculation of columns, some of parameters related to columns must be calculated also. One of these parameters is slenderness ratio. Formula of slenderness ratio is;
rmin is the minimum radius of gyration of column section and you can calculate it by using this calculator. L is the total length of column that is being calculated. K is the constant that depends of the fixity of the column end. It changes according to the joint type that column end has;
You can see above that, there are different K values for different connections of columns. You need to select a proper one for your calculations and your physical situation of your column.
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From this formula and proper selection of K value above, you can calculate the slenderness ratio.
The use of slenderness ratio calculator is very easy. You just need to enter the K value that you selected, total length of your column application and minimum radius of gyration value of your column. Click on ‘Calculate!’ button to calculate slenderness ratio of your column. If you want to do another slenderness ratio calculation, click on ‘Reset’ button as shown by blue arrow above.
To obtain correct results from this calculator, you need to take care about your units. K has no unit, it is unitless. The unit of length and Rmin must be similar such as mm, cm or m. Result will be also unitless. So consistency is very important. If you do not have consistent units to use this calculator, you can use MB-Unit Converter tool to convert your units as consistent.
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