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ME 221 Statics Lecture #21 Sections 9.7 - 9.9

ME 221 Statics Lecture #21 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 today. 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 #21 Sections 9.7 - 9.9

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  1. ME 221 StaticsLecture #21Sections 9.7 - 9.9 Lecture 21

  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 today Lecture 21

  3. Homework #8 • Chapter 9 problems: • 42, 43, 50 & 55 • Chapter 5 problems: • 11, 13, 16, 20, 24 & 25 • See Blackboard for additional information • Due Wednesday, October 30 Lecture 21

  4. Exam #2 Results Average score = 81 Scores posted on Blackboard Solution posted on Blackboard See syllabus for regrade policy

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

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

  7. y x Product Moment of Inertia • Basic section with two axes of symmetry • Composite sections - product parallel axis theorem Lecture 21

  8. -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 21

  9. Chapter 9 Examples Lecture 21

  10. Guest SpeakerEngineering Study Abroad Program Dr. Darren Mason Albion College (formerly at MSU) Engineering in Russia Summer 2003

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