## Consider a tapered bar as shown in Figure 1. The bar has a uniform thickness of 2 cm, YoungŌĆÖs 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 itŌĆÖs self-weight (Density, Žü = 8050 kg/m3 ; g = 10 m/s

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##### Description

Assignment - I

Instructions to Students:

1.  You must submit one MATLAB (*.m) file for each question with file name as your ŌĆ£Q1_idnumber.mŌĆØ

2.  You must also submit the solutions for these problems obtained using MATLAB code as a pdf file.

3.  Submitted files will be checked for plagiarism. Zero marks will be awarded for plagiarized work.

1.               Consider a tapered bar as shown in Figure 1. The bar has a uniform thickness of 2 cm, YoungŌĆÖs 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 itŌĆÖs self-weight (Density, Žü = 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

# Figure 1.

[2 + 5 + 3 = 10 Marks]

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                                                                 [7 + 3 = 10 Marks] 