### Presentation Slides

```Lab #6 Report due TODAY
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Individual Data Processing and Individual
Write Up
Lab #6 Report is due TODAY by midnight
Answer Multiple Choice Questions ONLINE
TODAY
Answer Student Survey ONLINE TODAY
Submit the Lab Report #6 in the drawer
labeled “Strength of Materials I Lab” beneath
M. E. Mail Folders
Lab #6 Report due Today
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Cover Page + Abstract
Data Sheet
Spreadsheet including Material Properties
Plot #1: Elastic Modulus
Plot #2: Poisson’s Ratio
Plot #3: Axial Strains
Plot #4: Transverse Strains
Plot #5: Shear Strains
Comments and Conclusions
Lab #7 Due Dates
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Lab #7 Multiple Choice Questions by midnight
Saturday (05/03/14)
Lab #7 Answers will be posted by 11am on
Sunday (05/04/14)
Final Quiz next week will have 20 questions
selected from Lab #1  #7
Lab Report #7 and Student Survey will be
due next on the class day
Deflection of a Cantilevered Beam
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Measure deflection of a cantilevered beam
due to a Point Load at different distances
from the fixed support
Determine the elastic modulus of the beam
material, and compare it with values from the
handbook and Lab #5
Compare the measured deflections with
values calculated from theory
Key Relation in Bending
At any location x along the longitudinal axis of the beam:
(x) is the curvature of the beam
(x) is the radius of curvature of the beam
M(x) is the internal bending moment
E is the elastic modulus of the beam material
I is the moment of inertia of the beam cross-section
Curvature of a curve y(x)
If deflections y(x) are small, then the slopes |y’(x)| << 1.
Cantilevered Beam under its own
weight (=w per unit length)
Deflection of a Cantilevered
Beam under its own weight
Cantilevered Beam with a
Point Load P at a distance q
Deflection of a Cantilevered
Beam with point load P
Deflection of a cantilevered
beam with a point load P
Summary of Deflection Formulas
Only uniformly
distributed load w
Both w and
point load P
Only point load P
Deflection at x = q
Only uniformly
distributed load w
Both w and
point load P
Only point load P
Data Sheet
Processing Data
P (lb) = - P(mm) *10 *0.2248
Plot #1: y versus P
Fitting Straight Lines to y versus P
=slope(y-values, x-values)
=intercept(y-values, x-values)
=rsq(y-values, x-values)
Plot #2: q3 versus slope
q3 = (3EI) * slope
Determining Elastic Modulus E
Mass Density
(look it up)
Use LINEST function
=bh3/12
=Gradient/3I
q3 = (3EI) * slope
= * b * h
Materials Properties Table
Naming Parameters
Emod
w
Visual Basic Module
select
click
If you don’t see the “Developer” tab
in the menubar, then select
File OptionsCustomize Ribbons
New VBA Module
On Menubar:
Insert  Module
Theoretical Deflections
Must name worksheet as “Data”
Defining VBA function Defw
Importing named parameter values
Using the VBA function Defw(q, P)
= defw (q, P)
Deflection due to
Beam weight
(remember we zeroed
both indicators)
Implementing Singularity Function
< x – a >n
VBA Function DefwP(q, P)
Underscore is
Line Continuation
Character
Singularity function
Theoretical Deflections
= DefwP(q, P) – y0
Comparing Measured &
Theoretical Deflections
=Theoretical Measured
Plot #3: Differences
Spreadsheet (Two Pages)
Lab #6 Report due TODAY





Individual Data Processing and Individual
Write Up
Lab #6 Report is due TODAY by midnight
Answer Multiple Choice Questions ONLINE
TODAY
Answer Student Survey ONLINE TODAY
Submit the Lab Report #6 in the drawer
labeled “Strength of Materials I Lab” beneath
M. E. Mail Folders
Lab #6 Report due Today









Cover Page + Abstract
Data Sheet
Spreadsheet including Material Properties
Plot #1: Elastic Modulus
Plot #2: Poisson’s Ratio
Plot #3: Axial Strains
Plot #4: Transverse Strains
Plot #5: Shear Strains
Comments and Conclusions
Lab #7 Report due Next Week
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Cover Page + Abstract
Data Sheet
Spreadsheet (2 pages)
Plot #1: Deflections versus P
Plot #2: q3 versus slopes
Plot #3: Differences versus P
Material Properties Table
Comments and Conclusions
Lab #7 Due Dates




Lab #7 Multiple Choice Questions by midnight
Saturday (05/03/14)
Lab #7 Answers will be posted by 11am on
Sunday (05/04/14)
Final Quiz next week will have 20 questions
selected from Lab #1  #7
Lab Report #7 and Student Survey will be
due next on the class day
```