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 it’s self-weight (Density, ρ = 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 “Q1_idnumber.m”
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, 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 it’s 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
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]
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