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 R 1 = R 2 = F V = 0 in middle span M = -bF = constant in middle span 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/   x = E  x = -Ey/ 

Sagital Method to find the Radius of Curvature  h × (2  - h) = a 2 2  h – h 2 = a 2

Shear Force & Bending Moment Diagrams R 1 = R 2 = F V = 0 in middle span M = -bF = constant in middle span Pure Bending

Data Sheet

Processing Data

Plotting Multiple Lines

Adding Data for another Line

h versus W Line Fits

Fitting Straight Line LINEST function (y = m*x + b) Gradient m = INDEX( LINEST(y-values, x-values, False, True), 1) Coefficient r 2 = INDEX( LINEST(y-values, x-values, False, True), 3) b = 0 r2r2 m

Table of a 2 and gradients

Plot of Gradient versus a 2

Calculating Elastic Modulus E

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