Example De ermine the moments of mertua about the centroid of the shape 50 mm 10
ID: 3307467 • Letter: E
Question
Example De ermine the moments of mertua about the centroid of the shape 50 mm 100 mm 60 mn There is no reference ongin suggested in figure (a), so the bottom loft corner is good 150 50 mn In figure (b) area A will be a complete rectangle while areas C and A are holes" with negative area and negative moment of inertias 1,-(200 mm)(100 mm)12-16 667 x 106 mm 4 I, = (200 mm)3(100 mm)/12-66 667 x 106 mm- Area A-200 mm x 100 mm = 20000 mm2 1 1,-, (30 mm)4/4 =-0636 x 106 mmt Area B =-m(30 mm)2 =-2827.4 mm2 Area C =-1/2 (50 mm): 3927 0 mm2 Area D-100mm x 200mm x 1/2-10000 mm2 (50 mm)8 -2.454 x 10 mm 0.1098(50 mmM 0686 x 10 mm I-200 mm)(100 mm)336-5.556 x 10 mmt ly (200 mm)(100 mm)/36- 22.222 x 106 mm RA (mm) ba (mm) 50 1000000 x-21592 18mm? la (mm2) 929 mm shape x (mm) (mm) 20000 -2827.43 100 2000000 150 -424115 3926.99 21.22066-83333.3 0-141372 1995612-mr-= 85.8 23245.58 mm 501-196350 y= 10000 66.66667 666666.2 133.33331333333 -s612 23245.58 21592181 mm dy (mm) x (mm 7.1 1008200 358| 25632800|66666667 35.8-3623751.73 -636173 16666667 636173 2454369 -57.1-9218592.093 35.8-503298851 -686250 71.67934 -20176595.22 5555556 -47.5333 22594177.8 22222222 26.23333 6881876.029 -21505111.29 | 1 19131680 39570237.5) 87566466Explanation / Answer
x = the distance in the x direction from
a reference axis to the centroid of a
shape
x = the distance in the x direction from
a reference axis to the centroid of a
composite shape
y = vertical distance
y = the distance in the y direction from
a reference axis to the centroid of a
shape
y= the distance in the y direction from
a reference axis to the centroid of a
composite shape
dx = difference in the x direction
between an area centroid ( x ) and
the centroid of the composite shape
( x )
dy = difference in the y direction
between an area centroid ( y ) and
the centroid of the composite shape
( y )
Like In your Case(on uploaded picture):-
dx= (92.9-100) = -7.1
similarly, dy= (85.8-50)= 35.8
PLEASE RATE AND GIVE FEEDBACK. THIS MOTIVATES US. THANK YOU
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