Question 4 (Total: 15 marks) The load acting over the span of the aircraft horizontal stabilizer is uniformly distributed as shown in the figure below. (1) W₂N/m 481 Jiy 24 fay

M₂ Front view If the span of the horizontal stabilizer is 24, and the uniformly distributed load is w N/m. The stabilizer can be considered to be fixed supported at the root. plane view The horizontal stabilizer is approximated using a 2 element beam bending model. Both element has a length of L, and the element cross sectional property is shown in the figure. || (1) | Calculate the equivalent loads acting at nodes A, B and C respectively (1) Given the element stiffness matrix for beam element is: 12 6L -12 EI 6L 41-6L 21² 12-12-6L 12 -6L 21²-6L 40 62 Analyze and Compute the stiffness matrix for each of the beam element || (iii) | Formulate and assemble the stiffness matrix of the entire horizontal stabilizer b) (i) State the Boundary Conditions for this model Design a suitable numerical procedure for the solution for the deflection and rotation at node 3 (Just provide the procedure, NO actual working is required.)