QUESTION 3 A built up beam is made up from a middle core of steel plate, one equal leg angle section attached to the upper part of the core and an unequal leg angle section arranged as shown in figure 4. For the given data calculate: 3.1 3.2 The position of the centroid; The second moment of the area about the "x-x" axis; 3.3 The second moment of the area about "y-y' axis. For additional data see tables 1 and 2. Designation hxbxt 65 x 50 x 6 80 x 60 x 8 100 x 65 x 8 100 x 75 x 6 125 x 75 x 8 150 x 75 x 10 150 x 90 x 10 ANGLES UNEQUAL LEG 8.34 mass A kg/m 5.16 0.658 equal leg angle 60 x 60 x 8 9.94 unequal leg angle 100 x 65 x 8 1.06 1.27 8.04 1.02 17.0 18.2 10 mm 12.2 41.4 2.16 2.32 ay mm 12.9 15.6 15.5 17.9 16.8 16.1 20.4 ANGLES - EQUAL LEG 40 Fig. 4 il mm 20.4 25.5 32.7 30.1 41.4 53.2 50.0 100 Iss 10 mm 0.272 0.663 1.27 1.02 SOM3601/101/0/2018 2.47 5.01 5.33 Table 1 ay Iy-y 10 mm 0.140 0.318 0.422 0.495 0.676 SOM3601/101/0/2018 0.858 1.46 (6) (8) (8) Table 2 22 65 x 50 x 6 80 x 60 x 8 Designation mass A hxbxt 100 x 65 x 8 100 x 75 x 6 125 x 75 x 8 150 x 75 x 10 150 x 90 x 10 Designation hxbxt 50 x 50 x 5 60 x 60 x 8 80 x 80 x 8 100 x 100 x 12 120 x 120 x 10 150 x 150 x 15 200 x 200 x 18 ANGLES UNEQUAL LEG 60 x 60 x 8 9.94 unequal leg angle 100 x 65 x 8 5.16 0.658 8.34 12.2 17.0 10 mm 1.06 8.04 1.02 1.27 41.4 2.16 18.2 2.32 mass |A kg/m 3.77 0.48 7.09 0.903 9.63 1.23 ay mm 12.9 15.6 17.8 2.27 18.2 2.32 33.8 4.30 54.2 6.91 15.5 17.9 16.8 16.1 ANGLES - EQUAL LEG 20.4 10 mm ay mm 40 Fig. 4 14.0 17.7 22.6 29.0 33.1 42.5 56.0 ila mm 20.4 25.5 32.7 30.1 414 53.2 50.0 ax mm 14.0 17.7 22.6 29.0 33.1 42.5 56.0 100 Iss 10 mm 0.272 0.663 1.27 1.02 2.47 5.01 5.33 160 Table 1 26.0 Ixx 10 mm* 0.11 0.292 0.722 2.07 3.13 8.98 ay Iyy 10 mm 0.140 0.318 0.422 0.495 SOM3601/101/0/2018 0.676 0.858 1.46 Table 2 lyy 10 mm* 0.11 0.292 0.722 2.07 3.13 22 8.98 26.0 [22]