Report

Lab #4 Report due TODAY Individual Data Processing and Individual Write Up Lab #4 Report is due TODAY by midnight Answer Multiple Choice Questions ONLINE TODAY Answer Student Survey ONLINE TODAY Submit the Lab Report #4 in the drawer labeled “Strength of Materials I Lab” beneath M. E. Mail Folders Theory of Pure Elastic Bending Four Point Bending Configuration Shear Force and Bending Moment Diagrams Stresses and Deformations in Pure Bending Sagital Method to find Radius of Curvature Determine Elastic Modulus of material Comparison to handbook value and previous Lab #4 result Four Point Bending Setup Shear Force & Bending Moment Diagrams R1 = R 2 = F V = 0 in middle span M = -bF = constant in middle span Pure Bending Pure Bending Material Assumptions Homogeneous Isotropic Geometry/Load Assumptions X-section has a plane of symmetry Bending moment applied in that plane Deformation Grids Neutral Axis and Strain (elastic and plastic range) Elastic Strain & Stress Distribution x = -y/ 3 = 12 1 = = x = Ex = -Ey/ Sagital Method to find the Radius of Curvature h × (2 - h) = a2 2h – h2 = a2 If h << and a then 1 2ℎ = = 2 = M = bF 2 ℎ= 2 Shear Force & Bending Moment Diagrams R1 = R 2 = F V = 0 in middle span M = -bF = constant in middle span Pure Bending Data Sheet Processing Data 3 = 12 ℎ= 2 − 1 + 3 2 25.4 2 + ℎ2 = 2ℎ Plotting Multiple Lines Adding Data for another Line h versus W Line Fits 2 ℎ= 2 Fitting Straight Line LINEST function (y = m*x + b) Gradient m = INDEX( LINEST(y-values, x-values, False, True), 1) b=0 m Coefficient r2 = INDEX( LINEST(y-values, x-values, False, True), 3) b=0 r2 Table of a2 and gradients 2 = 2 Plot of Gradient versus a2 2 = 2 Calculating Elastic Modulus E = 2 Materials Properties Tables Fit the spreadsheet on 2 pages Lab #4 Report due TODAY Individual Data Processing and Individual Write Up Lab #4 Report is due TODAY by midnight Answer Multiple Choice Questions ONLINE TODAY Answer Student Survey ONLINE TODAY Submit the Lab Report #4 in the drawer labeled “Strength of Materials I Lab” beneath M. E. Mail Folders