Lab #6 Report due TODAY
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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 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
Deflection of a Cantilevered Beam
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 beamM(x) is the internal bending momentE is the elastic modulus of the beam materialI 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
Use LINEST function
=bh3/12 =Gradient/3I
Mass Density(look it up)
= * b * h
q3 = (3EI) * slope
Materials Properties Table
Naming Parameters
Emod w
Visual Basic Moduleselect
click
If you don’t see the “Developer” tab in the menubar, then selectFile OptionsCustomize Ribbons
New VBA Module
On Menubar:
Insert Module
Theoretical Deflections
Importing named parameter values
Must name worksheet as “Data”
Defining VBA function Defw
Using the VBA function Defw(q, P)
= defw (q, P)
Deflection due toBeam weight(remember we zeroed both indicators)
Implementing Singularity Function
< x – a >n
VBA Function DefwP(q, P)Underscore isLine ContinuationCharacter
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
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