CE 201 STATICS Dr Mustafa Y AlMandil Department

CE 201 - STATICS Dr. Mustafa Y. Al-Mandil Department of Civil Engineering Centroid of Area Centroid of Volume z y d. V y x d. A x

Dr. Mustafa Y. Al-Mandil Department of Civil Engineering CE 201 - STATICS Example Find Centroid of area ? y m h dy y b x

CE 201 - STATICS Dr. Mustafa Y. Al-Mandil Department of Civil Engineering FIND CENTROID ? 2 c m y r= 1 + 3 6 cm 3 0 7 cm x 1 cm 3 cm 4 + 2 cm 1 2 cm 0. 85 cm + 4 cm 2 cm 7 cm 2 cm r =2 cm + 4 2 3 cm 2 0. 85 cm

Dr. Mustafa Y. Al-Mandil Department of Civil Engineering CE 201 - STATICS ~ x cm y~ cm ~x. A ~y. A cm 3 S. N. Shape Area cm 2 1 2 Semi-Circle 6. 28 2 6. 85 12. 56 43. 02 Rectangle 24 2 3 48 72 Triangle 9 -1 2 -9 18 -3. 14 3. 15 0. 85 -9. 89 -2. 67 41. 67 130. 35 3 4 Quarter-Circle TOTAL 36. 14

CE 201 - STATICS Dr. Mustafa Y. Al-Mandil Department of Civil Engineering FIND MOMENT OF INERTIA Ixx & Iyy ? Parallel - Axis Theorem r= 2 c m y 1 + 6 cm 2 3 4 r =2 cm 7 cm 0 7 cm x

CE 201 - STATICS Dr. Mustafa Y. Al-Mandil Department of Civil Engineering S. N. 1 2 3 4 Area cm 2 Ixx cm 2 Iyy cm 2 dx cm dy cm Adx 2 cm 4 Ady 2 cm 4 6. 28 1. 74 6. 24 5 6. 85 157 294. 67 Rectangle 24 72 32 5 3 600 216 Triangle 9 18 4. 5 2 2 36 36 -3. 14 -0. 87 6. 15 0. 85 -118. 76 -2. 67 36. 14 90. 87 41. 91 674. 24 544. 4 Shape Semi-Circle Quarter-Circle TOTAL 90. 87 + 544. 4 = 635. 27 cm 4 41. 91 + 674. 24 = 716. 15 cm 4

Dr. Mustafa Y. Al-Mandil Department of Civil Engineering CE 201 - STATICS Example 1: y dy h y b x