Consider the sheet metal cross section shown in (Figure 1). Suppose that r = 1.8 in, a = 2.8 in, and b = 7.6 in. Determine the location (x¯,y¯) of the centroid of the sheet metal cross section. Neglect the thickness of the material and slight bends at the corners.

3 The piece of plastic is originally rectangular. Calculate the shear strain Yxy at corners A and B if the plastic distorts as shown by the dashed lines. 2 mm 300 mm 2 mm D -400 mm- mm, B A 4 mm 72 mm 3 mm X

The cross-sectional dimensions of a beam are shown in the figure. (a) If the bending stress at point K is 35 MPa (C), determine the internal bending moment Mz acting about the z centroidal axis of the beam. (b) Determine the bending stress at point H. The bending stress is positive if in tension and negative if in compression. 85 mm 4 mm TT K 55 mm H 4 mm 45 mm 4 mm Answers: (a) Mz = UN-m (b) OH = JMPA