Radius of gyration of circle is the square root of the moment of inertia of that circular section divided by its area. Radius of Gyration for a rectangle with excentric axis can be calculated as r = 0.289 h (1) Rectangle - with excentric axis. Radius of Gyration Definition and Concept The formula of moment inertia in terms of the radius of gyration is given as follows: I = mk 2 (1) where I is the moment of inertia and m is the mass of the body. Radius of Gyration Formula. (5) Where I is the Moment of Inertia about the axis (x), and m is the mass. Radius of gyration of circle is the square root of the moment of inertia of that circular section divided by its area. It even find its applications in polymer physics where the radius of gyration is used to describe the dimensions of a polymer chain. Formula For Radius of Gyration. The radius of gyration is given by the following formula: If no axis is specified the centroidal axis is assumed. Radius of Gyration for a rectangle with axis in center can be calculated as. (4) k: equ. Some typical Sections and their Radius of Gyration Rectangle - with axis in center. In structural engineering, the two-dimensional radius of gyration is used to describe the distribution of cross sectional area in a column around its centroidal axis with the mass of the body. The Radius of Gyration k xx of a Mass (m) about an axis (x) is defined as: equ. Radius of gyration or gyradius is an important concept and find its applications in structural engineering, mechanics. Radius of gyration of a body about a given axis is the perpendicular distance of a point from the axis, where if whole mass of the body were concentrated, the body shall have the same moment of inertia as it has with the actual distribution of mass. Radius of Gyration formula and explanation. Mathematically circular radius of gyration can be easily found by using equation;eval(ez_write_tag([[300,250],'engineeringintro_com-box-3','ezslot_2',107,'0','0'])); ..eval(ez_write_tag([[580,400],'engineeringintro_com-medrectangle-3','ezslot_1',108,'0','0'])); Subscribe to Engineering Intro | Engineering Intro by Email, The Importance of Fall Protection Systems on Construction Sites, Pressure Vessels & Benefits of Rupture Disc, How Termites Can Destroy the Foundations of a House and What to Do About It, How to Identify, Classify & Manage Project Stakeholders, Transit Mixer | Parts | Concrete Discharging. Mathematically circular radius of gyration … Accordingly, the radius of gyration is given as follows $$k=\sqrt{\frac{I}{m}}$$ (2) The unit of the radius of gyration is mm. Radius of gyration also have mathematical definition.