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# ME 221 Statics Lecture #21 Sections 9.7 - 9.9 - PowerPoint PPT Presentation

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 StaticsLecture #21Sections 9.7 - 9.9

Lecture 21

• 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

• 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

Average score = 81

Scores posted on Blackboard

Solution posted on Blackboard

### Last Lecture

Principal Second Moments

Product Moment of Inertia

Principal Axes

Mohr’s Circle

### Mechanics Nomenclature

Polar Moment of Inertia = Torsional Stiffness

Second Moment of Area = Bending Stiffness

x

Product Moment of Inertia

• Basic section with two axes of symmetry

• Composite sections - product parallel axis theorem

Lecture 21

-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

Lecture 21

### Guest SpeakerEngineering Study Abroad Program

Dr. Darren Mason

Albion College (formerly at MSU)

Engineering in Russia

Summer 2003