0
7.6kviews
Determin the moment of inertia of an angle section 100 mm x 80 mm about vertical centroidal axis. Longer leg is vertical.
1 Answer
written 5.5 years ago by |
Find: MI about vertical centroidal axis = Iyy=?
A1=10×90=900mm2A2=80×10=800mm2X1=10/2=5mmX2=80/2=40mm¯X=A1X1+A2X2A1+A2=(900×5)+(800×40)900+800=21.47mm
To find IYY=(IYY)1+(IYY)2IYY=(IG+Ah2)1+(IG+Ah2)2
Here, h2=X1−¯X=40−21.47=18.53mmh1=¯X−X2=21.47−5=16.47mmIyy=(90×10312+900×16.472)1+(10×80312+800×18.532)2
Iyy=(251634.81)1+(701355.39)2Iyy=9.53×103mm4