Investigating Hooke 's Law And The Euler Bernoulli Bending Beam Theory
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In this lab, deflection and strain are measured in an attempt to confirm Hooke’s law and the Euler-Bernoulli bending beam theory. In addition, the measured data allows us to calculate the modulus of elasticity (Young’s Modulus) or E of the cantilever beam. Through the course of the experiment our observations revealed that the addition of weights deformed the beam in response to the applied stress. This deformation can be modeled using the Euler-Bernoulli beam bending theory. Our experimentation and calculations revealed that our data did indeed prove the theories mentioned in this lab. Furthermore, our values for the modulus of elasticity or E came within the range of established values found online.
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 .
This lab teaches us the importance of stress, strain, and elasticity. Their relationships are explored through the deformation of a cantilever beam. Stress is introduced as weights and the beams experiences strain.