Question 1: Consider a tapered bar as shown in Figure 1. The bar has a uniform thickness of 2 cm, Young's Modulus E = 200 GPa. It is fixed at point A and is subjected to a point load of 2 KN at point B along with its self-weight (Density, ρ = 8050 kg/m3; g = 10 m/s2). Write a MATLAB code to determine deflection at point B and reaction at point A using:
a) 4 elements
b) 10 elements
c) 50 elements
Question 2: A small railroad bridge is constructed of steel (E = 200 GPa) members, all of which have a cross-sectional area of 3250 mm2. A train stops on the bridge, and the loads applied to the truss on one side of the bridge are as shown in Figure 2. Write a MATLAB script file and:
a) Estimate how much the point R moves horizontally because of this loading.
b) Reaction Force at point R.
