Consider a column of length 5 meters standing vertically up on the floor. Treat the column as a 1-D structure and ignore its weight. The super- structure placed on the top of the column applies a weight of 1kN along the center line (a vertical line passing through the centroids of the cross sections) of this column. Assume that the column has a built-in (fixed) support to the ground. The material testing performed in the laboratory shows that the column could shrink by 2% for a 100N compressive internal for ce. (a) Draw the free-body diagram of the column. Identify, body, boundary, displacement prescribed boundary, and force prescribed boundary. Calculate the reaction forces at the support considering the global equilibrium of the column. (b) Determine the internal force of a material section at a height of 2.5 meters from the bottom of the column. If you choose a material point at a different location is the intern al force going to be different? (c) Determine the deformation of a material section located at 2.5 meters from the bottom (d) Estimate the displacement at four locations of the column; 1) at the base, 2) 1/3rd the height of the column from the base, 3) 2/3rd the height of the column from the base, and 4) the top of the column. (Displacement is the actual motion of the location) (e) Calculate the deflection of 1) the bottom half of the column, 2) the top half of the column and 3) the whole column.