Q3). The beam used in Q2 is a common Angle type having equal legs. The dimensions are L203 mm x L203 mm x L25.4 mm. Complete the following tasks: Note: Assume the rounded ends or edges are square for your calculations. See the diagram below. a). Determine the position of the centroid b). Determine the radius of gyration about the X-X axis ). Determine the Area Moment of Inertia about the X-X axis Write an equation for shear stress due to bending in the web using maximum shear. Does the function describe a quadratic or linear distribution of stress in the web? (Hint: Approximate the areas using rectangles) d). Write an equation for shear stress due to bending in the flange using maximum shear. Does the function describe a quadratic or linear distribution of stress in the flange? (Hint: Approximate the areas using rectangles) e). Usirig your equations construct a graph of the shear stress due to bending in the web and flange. f). g). Where is the shear stress more critical (i.e. in the flange or web)? What is one of the key purposes of the web? How would you check if the shear stresses are greater than the yield strength, assuming the section is made of A36 steel ((Es = 200 GPa, Yield Strength = 250 MPa). Why do we need to do this? h). %3D y a Web C Flange (1) (2) (3) Take gravity g = 10 m/s? unless otherwise stated Show all working %3D Weight 45%