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EGR 102 Introduction to Engineering Modeling
Lab 07B Homework
A uniform beam of total length
L (m)
with one fixed end is subjected to a load at the free end
P
(N)
. The deflection of the free end of the beam
δ (m)
can be calculated using the equation
below. The Young’s Modulus
E (N/m
2
)
, is a material property that changes depending on what
metal the beam is cast from. The moment of inertia,
I (m
4
)
, is a geometric property that changes
depending on the crosssection shape of the beam.
±
²³
´
µ¶·
You are limited to producing the following three beam shapes, and
you can only produce beams out of the following three metals.
Each possible combination of beam shape and material will result
in a different deflection value.
CrossSection Shape
Moment of Inertia (I)
Metal
Young's Modulus (E)
m
4
N/m
2
1 : IBeam
6.987 x 10
6
1 : Titanium Alloy
112.0 x 10
9
2 : Square Beam
7.745 x 10
6
2 : Steel Alloy
206.0 x 10
9
3 : TBeam
7.020 x 10
6
3 : Cast Iron
104.0 x 10
9
Create a MATLAB function to accomplish the following tasks:
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This note was uploaded on 04/02/2012 for the course EGR 100 taught by Professor Hinds during the Fall '08 term at Michigan State University.
 Fall '08
 HINDS

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