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Evaluation and Repair of Wrought Iron and - Purdue e-Pubs ...

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85It is believed that the percent elongation values from the rectangular specimenswere lower than those <strong>of</strong> the round specimens as a result <strong>of</strong> the loading history <strong>of</strong> thematerial. The rectangular specimens were manufactured from eyebars taken from theBell Ford bridge. This bridge experienced extensive damage in its collapse during awinter storm. From this collapse, eyebars experienced visual damage which indicatedthat they had been stretched past yielding <strong>and</strong> some permanent deformations may havedeveloped in the material. The onset <strong>of</strong> permanent deformations in the wrought ironwould reduce the ductility or plastic strain that otherwise the wrought iron would haveexhibited. Therefore, when the strained wrought iron was tested, the percent elongation<strong>and</strong> ductility <strong>of</strong> the material was lower than expected.The strain hardening coefficient (K) <strong>and</strong> exponent (n) are variables that are usedto describe the inelastic region <strong>of</strong> the stress-strain curve. These variables are determinedby taking the log <strong>of</strong> the true strain versus the log <strong>of</strong> the true stress <strong>and</strong> fitting a line to thedata. The intercept <strong>of</strong> this line is the strain hardening coefficient <strong>and</strong> the slope is thestrain hardening exponent. The stress in the plastic region <strong>of</strong> the stress-strain curve isequal to the strain hardening coefficient multiplied by the strain in the plastic region tothe strain hardening exponent.The strain hardening exponent <strong>and</strong> coefficient was determined for every testingspecimen. The average strain hardening exponent was found to be 0.21 <strong>and</strong> the averagestrain hardening coefficient was found to be 82 ksi. These values along with the averagemodulus <strong>of</strong> elasticity were used to determine a theoretical stress strain curve for historicwrought iron. Figure 4.11 is a plot <strong>of</strong> this theoretical stress strain curve.4.4.3 Comparison <strong>of</strong> Overall Results to Historical DataA comparison <strong>of</strong> the tensile testing results to the tensile testing data collectedfrom historical sources was conducted. In this comparison, only the data from historic

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