Engineering Mechanics: Unit III: Distributed Forces

Mass Moment of Inertia and Area Moment of Inertia

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

Consider a thin plate of area A and thickness t as shown in Fig. 7.3.1.

• Consider a thin plate of area A and thickness t as shown in Fig. 7.3.1.

• Let Ix, Iy and Iz be the mass moments of inertia about X, Y and Z axes respectively, and Ixx,Iyy and Izz are the moments of inertia.

where ρ is the density.

• For the rectangular plate of thickness t as shown in Fig. 7.3.2,

From equation (7.3.1),

Similarly from equations (7.3.2) and (7.3.3),

• For the circular plate of thickness t and radius r as shown in Fig. 7.3.3,

• The moments of inertia of those disc elements will be used to determine moments of inertia of bodies by single integration.

Engineering Mechanics: Unit III: Distributed Forces : Tag: : - Mass Moment of Inertia and Area Moment of Inertia

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

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