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ME 221 Statics Lecture #21 Sections 9.7 - 9.9

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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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homework 7
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

homework 8
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

exam 2 results

Exam #2 Results

Average score = 81

Scores posted on Blackboard

Solution posted on Blackboard

See syllabus for regrade policy

last lecture

Last Lecture

Principal Second Moments

Product Moment of Inertia

Principal Axes

Mohr’s Circle

mechanics nomenclature

Mechanics Nomenclature

Polar Moment of Inertia = Torsional Stiffness

Second Moment of Area = Bending Stiffness

product moment of inertia

y

x

Product Moment of Inertia
  • Basic section with two axes of symmetry
  • Composite sections - product parallel axis theorem

Lecture 21

mohr s circle for principal inertia

-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

guest speaker engineering study abroad program

Guest SpeakerEngineering Study Abroad Program

Dr. Darren Mason

Albion College (formerly at MSU)

Engineering in Russia

Summer 2003

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