What is the Area Moment of Inertia?

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What is the Area Moment of Inertia?

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Күн бұрын

The Area Moment of Inertia, or Second Moment of Area, is a geometric property of a cross-section. It is easily defined mathmatically, but what does it represent in an engineering sense? This video explores the meanineg of the Area Moment of Inertia for quantifying the bending stiffness of a beam.
This video is part of a series of blended learning videos for the course Engineering Mechanics: Statics with the Bachelor of Aerospace Engineering programme at TUDelft.
0:00 Introduction
0:34 Recap of beam analysis in Statics
1:53 How do beams deform?
3:40 Spring model of a beam section
5:11 Moment equilibrium of spring model
6:48 From springs to a continuum solid

Пікірлер: 6

@sunnymahe 3 жыл бұрын

great video! please make a course series like this on FEA too!

@najibalruzziah2625 Жыл бұрын

that was super helpful thank you very much

@jordankortlandt5494 Жыл бұрын

Thanks for the video--very helpful. As I think through this equation, I am struck by the fact that the moment of intertia is not impacted by the material mass or properties. For some reason, I would have thought that intuitively the higher modulus of elasticity for metal would compound relative to wood. E.g. a metal and wooden bar of the same dimension will have the same moment of intertia (all else being equal). When I combine that with a beam deflection formula for a simply supported beam { D = [(W * L^3) / (48*E*I)] }, it means a percentage increase in the size of both material types will have an equal percentage impact on the beam deflection. Bedankt!