Engineering Mechanics: Unit III: Distributed Forces

Radius of Gyration

Statement, Diagram, Equation | Moment of Inertia

Home | Department: Mech Department | Subject: Engineering Mechanics |

If the area shown in Fig. 6.1.1 is concentrated into a strip of the same area and is placed parallel to X-axis at a distance Kxx as shown in Fig. 6.2.1

Radius of Gyration

• If the area shown in Fig. 6.1.1 is concentrated into a strip of the same area and is placed parallel to X-axis at a distance Kxx as shown in Fig. 6.2.1 such that this strip has the same moment of inertia about X-axis as that of area A, then Kxx is known as the radius of gyration about X-axis.

• The moment of inertia can be written for the strip in Fig. 6.2.1 as,

• Similarly the radius of gyration can be defined about Y-axis by assuming the area A to be concentrated into a strip parallel to Y-axis at distance KYY:

• The radius of gyration about Y-axis is given by

Also, in a similar way, the polar radius of gyration Kzz is given by

Engineering Mechanics: Unit III: Distributed Forces : Tag: : Statement, Diagram, Equation | Moment of Inertia - Radius of Gyration

Home | Department: Mech Department | Subject: Engineering Mechanics |

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Engineering Mechanics: Unit III: Distributed Forces

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