3. A specialised pin connection is used to fix a component on a machine in place, as shown in Figure Q3. Under a worst-case condition, the circular head of the fixing pin is concentric with the bolt hole. For an initial design calculation, it is assumed that the pin head can be assumed to behave as a solid disc, loaded by a central force, F. For the analysis: a) Sketch the simplified system, clearly showing the loads and reactions, [3 marks] b) State the boundary conditions of the system, [4 marks] [8 marks] [5 marks] [5 marks] c) Determine the integration constants, d) Determine the force, if the maximum deflection is 0.15mm. e) Briefly describe, how the bolt shank can be included into the calculation. For the material assume a Young's Modulus of 210 GNm and Poisson's Ratio of 0.33. D = 20mm Pin head F Bolt hole Bolt shank Figure Q3: Bolt tensioning t = 4mm