2. A new pen clip, similar to a design shown in Figure Q2a, requires analysis. The specifications of the new design are shown in Figure Q2b. The clip, which is of circular cross-section, is manufactured from a material with a Young's Modulus and Poisson's Ratio of 100GPa and 0.35 respectively. For the pen clip: a) Sketch and label the system showing all reaction loads and sections, [4 marks] b) Using Castigliano's theorem, determine the cross-section diameter, if the maximum [9 marks] deformation does not exceed 4mm, when a force, F, of 1.5N is applied, c) Using Castigliano's theorem, calculate the angular deformation of Point C, [7 marks] d) State the value and location of the highest bending moment in the clip. [2 marks] e) Using Castigliano's theorem, calculate the vertical deformation of Point C, when the clip stem diameter only is 2.5mm, [3 marks] Pen clip H = 5mm Clip stem Figure Q2a: Pen clip L = 40mm Figure Q2b: Schematic of pen clip Clip arm