Due to a typhoon, a streetlamp lost considerable rotational support at its base. Fortunately, a bracket was put in place to act as additional support preventing the collapse of the structure. The system is modelled simply with an L-structure RUZ, which is pin-supported at Z. The bracket, with unknown orientation, is represented by a bar that is pin-connected at S and pin-supported at W. The 100-N weight of the lamp is applied at R. Furthermore, suppose for this analysis, the 50 kN weight of the lamp post is placed at S (in your computations, consider the 50 kN force to act at RUZ). 100 N R 50 kN a' 0.9m ZO Im W 0.85m 1.4m Figure 2: Detailing of the Pin Support at W 0.2m Figure 1: Representation of the Lamp Post with Bracket 1) [20%] Determine the support reactions at Z and W. 2) [20%] Determine the internal force of member SW. 3) [20%] Determine the internal forces on section a-a'. 4) [20%] Supposed the detailing of support W is given as shown above, and the material used for bar SW and the bolt at W have the following ultimate stresses: Bar SW ultimate normal stress: σ₁ = 175 MPa Bar SW ultimate bearing stress: bu = 350 MPa Bolt W ultimate shearing stress: T₁ = 100 MPa Providing a factor of safety of 2.5 and considering that bar SW is 25 mm thick, determine the following (round off your answers to the nearest 1 mm): a) Diameter d₂ of bolt W. b) dimensions b and h of bar SW. 5) [20%] Suppose a very small segment with length AL along the midpoint of bar SW is to be analyzed. Consider linear-elastic behavior, Young's modulus of 200 GPa, and a shear modulus of 78 GPa. What is the deformation in terms of AL? B