ME 221 Statics Lecture #21 Sections 9.7 - 9.9

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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 &amp; 54 Chapter 9 problems: 2, 3, 4, 11, 23, 29 &amp; 32 Use double integration for 2, 3, 4 &amp; 11 Due today. Homework #8. Chapter 9 problems: 42, 43, 50 &amp; 55 Chapter 5 problems: 11, 13, 16, 20, 24 &amp; 25

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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
• 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

y

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