Determine the y-bar centroid of the composite figure shown. Where: x=4 ft 2 ft

H= 3 R= 1 Inputs: • Center of Circle is the SAME as the Rectangle. • H= Height in cm (From Table) ● R = Radius of Circle in cm (From Table) Required: For the composite area: 1. Locate the centroid in x and y. 2. Draw the Centroidal Axis. 3. Find the Moment of Inertia around centroidal x axis only. ↑A А D 8 cm R 16 cm 3 cm B C E H cm F X

A composite assembly consisting of a steel [G = 80 GPa] core (2) connected by rigid plates at the ends of an aluminum [G = 28 GPa] tube (1) is shown. The cross-sectional dimensions of the assembly are shown in the second figure. Assume L = 340 mm, D1 = 53, d = 37 mm, d2 = 19 mm. If a torque of T = 1200 N-m is applied to the composite assembly, determine (a) the maximum shear stress in the aluminum tube and in the steel core. (b) the rotation angle of end B relative to end A. (1) T T B L (1) d2 di DI Answers: (a) Talum = i 53.839 MPa Tsteel i 891.026 MPa (b) PB - PA = i 0.02467 rad (2)

Find the centroid of the composite shape below. Then, find the lx, ly, rx, ry, and J for the shape about its own center. 12" X- 24" 12 in. radius X