1、 OyzdAyz AyAzSd AzAySdyzO dA yzCzyASAAzzyA dASAAyyzA dzASy yASz zASiniiy 1 niiizyAS1),(yzii niiniiiAzAz11 niiniiiAyAy11AAyAyAAyAyniiniii21221111 AAzAzAz212211 101012012Ozy901y1z2z2y211200mm12010 A5mm1 y60mm1 z22800mm8010 A50mm280102 ymm25 z38mm23mm212211212211 AAzAzAzAAyAyAy101012012Ozy901y1z2z2yC2C

2、1yz 212211AAAyAyAAyyii221108090120)11080(5dyzyydASAzdR2320cossin33R32344323dRRRAsyzcdRdyRyRzcossincos233sin31oRdyRyzoyzOdAyz AzAyAyIAzIdd22 AAIdP2 yz222 AAIdP2 yzIII PyzOdAyz AyzAyzIdyzdydyzdAdAAIiyy AIizz bhyzCzdzAzIAyd2 zbAdd12dd32222bhzbzAzIhhAy 123hbIz zyd 32PdI4 PIIIzy zyII 64dIIzy4 niyiyII1 ni

3、zizII1 niyziyzII1yziziyiIII,yzI ,I小小大大PPPIII 44321321dD )(32144 1DDd 小小大大zzzyIIII )(164144 DdDyzyzOC(a,b)bayczcyczcOyzzy,yzyzIIICzyyzCCCIII,azzC , byyC dAbaCdAzIAy 2dAazAC 2)(dAadAazdAzAACAC 222 CyIc2yaSAa2 CyI Aa2 0AaIICyy2 AbIICzz2 dAyzIAyz dAbyazACC )( dAabdAaydAbzdAzyAACACACC0abAICCzy 0yczcyczcO

4、yzzydAbaC平行移軸公式：平行移軸公式：AaIICyy2 AbIICzz2 abAIICCzyyz 注意：注意：201401002021zCyC140201A801 z201002A0 z27mm.46212211 AAzAzAzCy1z2014010020y21yC2z)7 .4680(1402014020121231 CyI)7 .46(2010020100121232 CyI46m1012.12 21CCCyyyIIIAaIICyy2 CzCyhd 補充例子：試計算圓弧右上方陰影部分面積的慣性積 解：因為慣性矩與慣性積等于各 微元面積的慣性矩或慣性積之和， .zyIrzyABCDz

5、yzyIIIryzBACD.884444rrrIzy ;8212104220000200222222ryrryrryrArrzyrdyyrydyzyzdzydyyzdydzyzdAI）（;4040rrAABCDzyrzydydzzydAIOyzy1z1 Oyzy1z1 IIIIIIyzzyzyy2sin2cos221 IIIIIIyzzyzyz2sin2cos221 IIIIyzzyzy2cos2sin211 zyzyIIII 11 IIIIyzzyzy2cos2sin211 02cos2sin200 yzzyIIIzyzyzIIItg 220 224)(21200yzzyzyzyIIIIII

6、I 00minmax zyIIII iyyII izzII iizyyzII)2(tan2zyyzIII 10 224)(2200yzzyzyzyIIIIIII 1 niiniiiAyAy11 niiniiiAzAz11101012025C4020yz 20158035AaIICyy2 AbIICzz2 abAIICCzyyz 107010121101201510120121323yI424mm.100)25(70 mm104 .27844 zI093. 1)2(tan20 IzIyIyz zyII 02 6 .22720 8 .1130 mm103 .971070)35()25(0101202015044 yzI101012070C4020yzy0 0=113.8z0mm103214)(21244220 yzzyzyyIIIIIImm104 .574)(21244220 yzzyzyzIIIIIIdb2dyzOdddddAAzzAAAyyiiii177. 0434200222 CyICzICCzyIyCzCC422422322685. 0)177. 05 . 0(464)177. 0(312)2(5 . 1)5 . 0(1dddd