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ME 221 Statics Lecture #19 Sections 9.7 - 9.9

ME 221 Statics Lecture #19 Sections 9.7 - 9.9. Homework #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 Friday. Homework #8. Chapter 9 problems: 42, 43, 50 & 55 Chapter 5 problems: 11, 13, 16, 20, 24 & 25

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ME 221 Statics Lecture #19 Sections 9.7 - 9.9

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  1. ME 221 StaticsLecture #19Sections 9.7 - 9.9 Lecture 19

  2. Homework #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 Friday Lecture 19

  3. Homework #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 24 Lecture 19

  4. Last Lecture Principal Second Moments Product Moment of Inertia Principal Axes Mohr’s Circle

  5. Mechanics Nomenclature Polar Moment of Inertia = Torsional Stiffness Second Moment of Area = Bending Stiffness

  6. y x Product Moment of Inertia • Basic section with two axes of symmetry • Composite sections - product parallel axis theorem Lecture 19

  7. -Ixy • draw circle center (Ixx + Iyy)/2 x • draw point (Ixx , Ixy) and the circle IMIN Ixx IMAX 2b x Ixx, Iyy Iyy • use geometry to find IMAX , IMIN and b x Ixy +Ixy (Ixx+Iyy)/2 Mohr’s Circle for Principal Inertia Angles in Mohr’s circle are twice those in the section analyzed. Lecture 19

  8. Chapter 9 Example Lecture 19

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