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

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CE STATICS Dr. Mustafa Y. Al-Mandil Department of Civil Engineering Centroid of Area Centroid of Volume x z y y x dV dA

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

CE STATICS Dr. Mustafa Y. Al-Mandil Department of Civil Engineering + 7cm 3cm4cm 6cm r =2cm 0 6cm 2 1 y x cm 2cm 0.85cm 2cm + 3cm FIND CENTROID ? + 2cm 1cm

CE STATICS Dr. Mustafa Y. Al-Mandil Department of Civil Engineering TOTAL S.N Shape Area cm 2 cm ~ x ~ y cm ~~ xA cm 3 yA cm 3 Semi-Circle Rectangle Triangle Quarter-Circle

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

CE STATICS Dr. Mustafa Y. Al-Mandil Department of Civil Engineering TOTAL S.N Shape Semi-Circle Rectangle Triangle Quarter-Circle Area cm 2 dx cm dy cm Adx 2 cm 4 Ady 2 cm 4 I xx cm 2 I yy cm = cm = cm 4

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