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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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Me 221 statics lecture 21 sections 9 7 9 9

ME 221 StaticsLecture #21Sections 9.7 - 9.9

Lecture 21


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


Chapter 9 examples
Chapter 9 Examples

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