1. A simplified vertical support column on the front of a building is subjected to a...

  

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1. A simplified vertical support column on the front of a building is subjected to a vertical load, F, and uniformly distributed wind load, w, as shown in Figure Q1. a) Using the displacement based finite element analysis i) Simplify the structure and label nodes and elements of the structure, ii) Develop the element stiffness matrices, iii) State the boundary condition for the structure, iv) Assemble the necessary terms of the structural stiffness matrix, [4 marks] v) Determine the nodal displacements with respect to global coordinates, [4 marks] vi) Determine the stress in the elements at the nodes, [6 marks] vii) Illustrate the deformed geometry on a sketch of the un-deformed structure. [3 marks] the following values are given: E = 210 GPa, I = 30000cm*, A=213cm², F = 20kN, w = 5 kN/m, L= 30m, t = 125mm b) If displacements where the sun blinds are connected to the column need to be calculated, what would need to be changed in the analysis? Give reasons for you answers. [5 marks] Sun Blinds Column- Figure Q1: Column structure: left- building; right - schematic representation [3 marks] [4 marks] [6 marks] 1. A simplified vertical support column on the front of a building is subjected to a vertical load, F, and uniformly distributed wind load, w, as shown in Figure Q1. a) Using the displacement based finite element analysis i) Simplify the structure and label nodes and elements of the structure, ii) Develop the element stiffness matrices, iii) State the boundary condition for the structure, iv) Assemble the necessary terms of the structural stiffness matrix, [4 marks] v) Determine the nodal displacements with respect to global coordinates, [4 marks] vi) Determine the stress in the elements at the nodes, [6 marks] vii) Illustrate the deformed geometry on a sketch of the un-deformed structure. [3 marks] the following values are given: E = 210 GPa, I = 30000cm*, A=213cm², F = 20kN, w = 5 kN/m, L= 30m, t = 125mm b) If displacements where the sun blinds are connected to the column need to be calculated, what would need to be changed in the analysis? Give reasons for you answers. [5 marks] Sun Blinds Column- Figure Q1: Column structure: left- building; right - schematic representation [3 marks] [4 marks] [6 marks]