(Solved): 3. The section shown in Figure Q3 is formed from a 203x203 UKC86 section welded to a 35 mm x 15mm ...

3. The section shown in Figure Q3 is formed from a 203x203 UKC86 section welded to a 35 mm x 15mm steel plate. The section is to be used as a simply supported beam 7.5 m long and carrying a uniformly distributed load of 28kN/m The UKC sections has a second moment of area about its primary (horizontal) axis of 9540cm4. (The UKC section properties are: width (b)= 209.1mm, depth (n) = 222.2mm, Area = 110cm2 , thickness of web tw = 12.7mm and the thickness of flange tr = 20.5mm) (a) Locate the centroid of the section. [4 marks] (b) Calculate the second moment of area about the centroidal horizontal Axis. [4 marks] (c) Calculate the maximum tensile and compressive stress due to the applied bending moment [6 marks] (d) Calculate the maximum shear stress and sketch the shear stress distribution (no calculation required for the shear distribution sketch). [6 marks] 203 w203 UKC 86 I 350 x 15 Steel plate 175 175 Figure Q3 (All dimensions in mm)