Appendix Properties of Plane Areas Properties of Plane

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Appendix Ⅰ Properties of Plane Areas

Appendix Ⅰ Properties of Plane Areas

(Properties of Plane Areas) 附录Ⅰ 截面的几何性质 (Appendix Ⅰ Properties of plane areas) § 1

(Properties of Plane Areas) 附录Ⅰ 截面的几何性质 (Appendix Ⅰ Properties of plane areas) § 1 -1 截面的静矩和形心(The first moments of the area & centroid of an area) § 1 -2 极惯性矩 惯性积 (Polar moment of inertia Moment of inertia Product of inertia) § 1 -3平行移轴公式 (Parallel-Axis theorem) § 1 -4 转轴公式 (Rotation of axes)

(Properties of Plane Areas) § 1 -1 截面的静矩和形心 (The first moment of the area

(Properties of Plane Areas) § 1 -1 截面的静矩和形心 (The first moment of the area & centroid of an area) 一、静矩(The first moment of the area ） z 截面对 y , z 轴的静矩为 d. A z 静矩可正，可负，也可能等于零. O y y

(Properties of Plane Areas) 1. 组合截面静矩(The first moments of a composite area) 其中 Ai

(Properties of Plane Areas) 1. 组合截面静矩(The first moments of a composite area) 其中 Ai —第 i个简单截面面积 —第 i个简单截面的形心坐标 2. 组合截面形心(Centroid of a composite area)

(Properties of Plane Areas) z 矩形 1 10 矩形 2 120 1 2 10

(Properties of Plane Areas) z 矩形 1 10 矩形 2 120 1 2 10 y O 所以 90

(Properties of Plane Areas) § 1 -2 极惯性矩、惯性积 (Polar moment of inertia、Moment of z

(Properties of Plane Areas) § 1 -2 极惯性矩、惯性积 (Polar moment of inertia、Moment of z inertia、Product of inertia) 一、惯性矩(Moment of inertia) z d. A O 二、极惯性矩 (Polar moment of inertia） 所以 y y

(Properties of Plane Areas) § 1 -3 平行移轴公式 (Parallel-axis theorem) 一、平行移轴公式(Parallel-Axis theorem for moment

(Properties of Plane Areas) § 1 -3 平行移轴公式 (Parallel-axis theorem) 一、平行移轴公式(Parallel-Axis theorem for moment of inertia) z y, z ￣ 任意一对坐标轴 C ―截面形心 (a , b ) ―形心C在 y. Oz坐标系下的坐标 C(a, b) a O b y

(Properties of Plane Areas) zc 140 20 y. C 1 20 y 100 2

(Properties of Plane Areas) zc 140 20 y. C 1 20 y 100 2

(Properties of Plane Areas) 转轴公式为 z z 1 y 1 O y 显然

(Properties of Plane Areas) 转轴公式为 z z 1 y 1 O y 显然

(Properties of Plane Areas) y 0 40 z 120 20 10 0=113. 8° 70

(Properties of Plane Areas) y 0 40 z 120 20 10 0=113. 8° 70 C z 0 形心主惯形矩为 10 y

(Properties of Plane Areas) z z. C 2 d d O C 所以 便是形心主轴

(Properties of Plane Areas) z z. C 2 d d O C 所以 便是形心主轴 便是形心主惯性轴 y y. C b

Appendices All Appendix Art All Appendix Art AppendixAppendices All Appendix Art All Appendix Art Appendix
Appendix A Fourier transform Appendix Linear systems AppendixAppendix A Fourier transform Appendix Linear systems Appendix
Body plane Sagittal plane median plane midsagittal lineBody plane Sagittal plane median plane midsagittal line
Plane Symmetry Plane Symmetry A plane of symmetryPlane Symmetry Plane Symmetry A plane of symmetry
Network layer data plane control plane Data planeNetwork layer data plane control plane Data plane
Rural Areas Rural Areas Areas with low populationRural Areas Rural Areas Areas with low population
Appendix H1 Warfield Wyegandt Kieso APPENDIX G ACCOUNTINGAppendix H1 Warfield Wyegandt Kieso APPENDIX G ACCOUNTING
APPENDIX A REVIEW OF LINEAR ALGEBRA APPENDIX BAPPENDIX A REVIEW OF LINEAR ALGEBRA APPENDIX B
Appendix 1 Appendix q Networking basics o ProtocolAppendix 1 Appendix q Networking basics o Protocol
20 Appendix Cash and Liquidity Management Appendix Mc20 Appendix Cash and Liquidity Management Appendix Mc
APPENDIX B SYSTEM DEVELOPMENT Appendix B System DevelopmentAPPENDIX B SYSTEM DEVELOPMENT Appendix B System Development
Appendix THEMIS FDMO Review Appendix 1 October 5Appendix THEMIS FDMO Review Appendix 1 October 5
Appendix Slides Appendix 1 More Information on theAppendix Slides Appendix 1 More Information on the
Appendix D The ARM Processor Appendix Outline MemoryAppendix D The ARM Processor Appendix Outline Memory
Appendix P 1 the application Appendix P 2Appendix P 1 the application Appendix P 2
APPENDIX A CONCEPTUAL SHIFTS 1 Looking Deeper AppendixAPPENDIX A CONCEPTUAL SHIFTS 1 Looking Deeper Appendix
Appendix B 1 Lex Appendix B 1 LexAppendix B 1 Lex Appendix B 1 Lex
Appendix D The ARM Processor Appendix Outline MemoryAppendix D The ARM Processor Appendix Outline Memory
Appendix E1 Appendix E Subsidiary Ledgers and SpecialAppendix E1 Appendix E Subsidiary Ledgers and Special
APPENDIX Dr Alaa Jamel Vermiform appendix is presentAPPENDIX Dr Alaa Jamel Vermiform appendix is present
Appendix G Validation Appendix G JCI Data InterAppendix G Validation Appendix G JCI Data Inter
APPENDICITIS Anatomy and physiology of appendix The appendixAPPENDICITIS Anatomy and physiology of appendix The appendix
APPENDIX 1 Strategic Quality System Model APPENDIX 2APPENDIX 1 Strategic Quality System Model APPENDIX 2
Appendix 1 Appendix q Networking basics o ProtocolAppendix 1 Appendix q Networking basics o Protocol