Laboratory 1:
Stress Vs. Strain
Lab Section: 27
Date Performed: 9/27/16
Date Submitted: 10/3/16
Name: Stefan Sebach
Partner: Alex Ruddy
Peer Reviewed By: Abstract
Laboratory experiment one examines the relationship of stress/strain on two different materials. The accumulated data produces a stress/strain curve when graphed. These curves depict the ultimate stress, fracture stress, and make it possible to determine Young’s Modulus of Elasticity. These values will define whether aluminum or steel should be used in a certain application under tensile load.
Introduction
This experiment was performed to determine five useful material properties, which can all be deduced on a stress/strain graph. The five properties include: Modulus of Elasticity, Ultimate Stress, Fracture Stress, Proportional Limit, and 0.2% Offset Yield Stress.
The normal stress in a material when axially positioned is calculated using equation 1: σ=P/A Where σ is the normal stress, A is the cross sectional area, and P is the applied load.
The second equation used is to determine the strain: ε=δ/L Where ε is the strain, δ is equal to the displacement, and L is the samples original length.
Hooke’s Law can now be applied to relate the normal stress (σ) found in equation 1 and the strain (ε) found in equation 2. The equation for Hooke’s Law is: σ=Eε In equation 3, E is the Modulus of Elasticity or Young’s Modulus.
To solve for the Modulus of Elasticity in this experiment we used an easier
A graph of the hardness of the material versus the percentage cold work was plotted for both specimens. In both cases, it was observed that the percentage of cold work increases proportionately with an increase in the hardness of the
The tensile testing was done on the three composite specimens (90°, and two 45°) were completed with a servo-hydraulic load frame with a wedge. The one in the lab was the MTS 647 hydraulic wedge grip and an 810 material test system. The specimens had strain gages with a Wheatstone bridge to collect data such as time, distance, load, axial strain, and transverse strain. From the strain gages, evidence can support how and when the specimen material failed under the stress being applied to it. The test was run for three times on three different specimens. The first specimen that was tested in the hydraulic load was the 0°/90° specimen, which is made of carbon and epoxy laminate composite.
{ε0} is the in plane strain and {k} is the curvature of the reference surface.
With respect to the diathesis-stress model, discuss two potential stresses (4 points) relevant to the case.
In Figure 4, Young's modulus is plotted against yield strength. The diagonal line in the figure represents the material index M= σy/E. Materials below the diagonal line are the best candidate materials because they will remain elastic while providing the maximum conformability. All materials that cost more than $2.20 per pound and have a UV rating of "poor" were eliminated. Also, only materials that can be made through the polymer extrusion process were considered. The candidate materials are listed in Table 1 and ranked by the material index. The current material, TPV, is included in the table for
Briefly describe the nature of the relationship between these two variables (Hint: mention strength and direction). [2 marks]
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Engineering involves a wide array of problems that must be overcome. A great deal of time is spent researching materials and their properties. Materials compromise all aspects of our society, from buildings to roads to even the equipment that was used in this lab. Problems arise in regards to how strong or flexible the material is, with the official terms being stress, strain, and elasticity. Improper use of such materials results in tragedies such as the Tacoma Narrows Bridge in Washington that failed to due resonance and stress beyond its elastic limit [1].
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The First method of this study was Experiment. Material were used 8, 52.4 mm diameter
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Where P is the applied force, L is the length of beam, E is the modulus of elasticity of aluminum, and I is the moment of Inertia.
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