Report

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 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 OptionsCustomize 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 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