Question

The L-shaped steel plate shown below is d = 8 mm thick (i.e., the member extends from z = 0 to z = -8 into the page). Determine a. its mass m b. the location of its center of mass (XM.Yu.Zy). Assume: H = 810 mm, h = 120 mm, L = 420 mm, 1 = 65 mm. Material is homogeneous (Pested = 7830 kg/m3). H a. M 5.93 kg b. Xy = 159.8 mm Y = 1215.30 mm ZM =(-0.5 mm

Answer 1

Given that @ Thickaen of plote (dla 8mm Also, H=810 mm 1:420 mm h: 120 mm e = 65 mm H Total volume of plate (V)= [t-8) 5+ 4xHxd ((420-65)x120 xx + 65 5704810 x 8 52650. 42600 +75600]*8 diz) 76200 3 mo → 762x105 mp Mats (m) = vxe 7.62x10x7830 m=5.96646 kg] m = (b) Edividing component into two parts 0 e 0 ho Avea of component. 1 (A) = &RH 2) A, 565 * 810 A,=52650 mm (M, $4,) 142) (32-5, 405) (,,9)

(component - 21 trea i M2= (2-0) xh si AL = (420-65)*120 A2 = 42600 m² centroied (M.,9.) = (2+(48)) 120 .. (12,4)= 65* 177.5, (2,4)(242-5, 60) Centroid of steel port Kni U, Ait Alha ARTAL 52650 x 32.5 #412600x 242.5 526507 42600 X = 126.42 mm Ym = Y, A+YAL AITAL 52650x405+ 42600x 60 5265044260 Ym = 250.7 mm

Zm = -d 8 - - 4 Therefore, summary m2 5096646 ka - Xw) - 126.42 mm Yu 2 250.70 mM zm : -4 mm Thank you .

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