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MSU ME 221 - ME 221 Statics Lecture #19

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PowerPoint PresentationHomework #7Homework #8Last LectureMechanics NomenclatureProduct Moment of InertiaMohr’s Circle for Principal InertiaChapter 9 ExampleME 221 Lecture 19 1ME 221 StaticsLecture #19Sections 9.7 - 9.9ME 221 Lecture 19 2Homework #7•Chapter 4 problems:–52, 53 & 54•Chapter 9 problems:–2, 3, 4, 11, 23, 29 & 32–Use double integration for 2, 3, 4 & 11•Due FridayME 221 Lecture 19 3Homework #8•Chapter 9 problems:–42, 43, 50 & 55•Chapter 5 problems:–11, 13, 16, 20, 24 & 25–Additional information to be on Angel•Due Friday, October 24Last LecturePrincipal Second MomentsProduct Moment of InertiaPrincipal AxesMohr’s CircleMechanics NomenclaturePolar Moment of Inertia = Torsional StiffnessSecond Moment of Area = Bending StiffnessME 221 Lecture 19 6Product Moment of Inertia•Basic section with two axes of symmetryxy•Composite sections - product parallel axis theoremxyAI xydAxy x y o oI I x y A  ME 221 Lecture 19 7Mohr’s Circle for Principal Inertia+Ixy-IxyIxx, IyyIyyxIxxIxyx• draw point (Ixx , Ixy) and the circle(Ixx+Iyy)/2• draw circle center (Ixx + Iyy)/2xIMAXIMIN2• use geometry to find IMAX , IMIN and Angles in Mohr’s circle are twice those in the section analyzed.ME 221 Lecture 19 8Chapter 9


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