Experiment Two: Stiffness Report from laboratory work performed on 12 May 2011 as a part of the unit of study CIVL2201 Structural Mechanics

Abstract

This report has been written to describe an experiment performed on a channel section examining the stiffness of the beam through two differing types of deformation – curvature and deflection. The aim of the experiment was to determine the value of the flexural rigidity (EI) in two different ways; using the curvature, k, and the mid-span deflection. The testing method used for the experiment is described. The experiment found that the EI values calculated were as follows: - EIcurv = 1.76E+10 Mpa.mm4 when calculated using the curvature, k. - EIdefl = 1.77E+10 Mpa.mm4 when calculated using the mid-span deflection.

Bending of a Channel Section

Table of Contents

Abstract ................................................................................................................................. 1 Introduction ........................................................................................................................ 3 Test Method ......................................................................................................................... 3 Diagram of the test setup ........................................................................................................ 3 . Figure 1. .................................................................................................................................................................. 3 Diagram of dial gauge setup ................................................................................................... 4 Figure 2. .................................................................................................................................................................. 4 Method used ................................................................................................................................. 4 Results ................................................................................................................................... 4 Table 1. .................................................................................................................................................................... 4 Bending Moment Diagram ...................................................................................................... 5 Figure 3. .................................................................................................................................................................. 5 Calculating the Curvature, k .......................................................................................... 5 Calculating g .............................................................................................................................................. 5 Calculating c ............................................................................................................................................... 5 Converting lbs to newtons .................................................................................................................. 6 Table 2. .................................................................................................................................................................... 6 Finding the midspan moment .............................................................................................. 6 Table 3. .................................................................................................................................................................... 6 Midspan moment against curvature (k) ........................................................................... 6 ...