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# Centroid for Composite Bodies Mechanical Engineering Notes | EduRev

## Mechanical Engineering : Centroid for Composite Bodies Mechanical Engineering Notes | EduRev

The document Centroid for Composite Bodies Mechanical Engineering Notes | EduRev is a part of the Mechanical Engineering Course Engineering Mechanics - Notes, Videos, MCQs & PPTs.
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Find the y-coordinate (ï¿½ï¿½Ì…) of the centroid of the composite area

Find coordinates (ï¿½ï¿½Ì…, ï¿½ï¿½Ì…) of the centroid of the composite area.

Centroids of Composite Bodies

Find the centroid of the given area

xc1 =6.67 in  xc2 =15.0 in

yc1 =3.33 in  yc2 = 5.0 in

 Part Ai(in2) xci(in) My(in3) yci(in) Mx(in3) 1 50 6.67 333.3 3.33 166.7 2 100 15.0 1500.0 5.0 500.0 âˆ‘ 150 1833.3 666.7

Locate the centroid of the body

 component Volume , mm3 hemisphere 0.5*4/3*Ï€*603= 0.4524 Ã— 106 -22.5 -10.18 * 106 cylinder Ï€*602 * 100 = 1.131 *106 50 56.55 * 106 cone -1/3*Ï€ 602 * 100 = âˆ’0.377 * 106 75 -28.28 * 106 âˆ‘ 1.206 * 106 18.09 *106

 Segment A (in2) Rectangle 1 17.25 0 5.75 0 99.19 Rectangle 2 12 0 12.25 0 147 Rectangle 3 5.25 -4.75 9.75 -24.94 51.19 Rectangle 3 5.25 4.75 9.75 24.94 51.19 âˆ‘ 39.75 0 348.57

 Segment A (in2) Rectangle 1 9 5.5 0.5 49.5 4.5 Rectangle 2 24 0.5 12 12 298 Rectangle 3 9 5.5 23.5 49.5 211.5 42 111 514

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## Engineering Mechanics - Notes, Videos, MCQs & PPTs

30 videos|72 docs|65 tests

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