Tensile Strength, Stiffness, Strain and Young Modulus - Ask Will Online
So the general form of Hooke's Law reduces to: ij kk ij ij. µε ε λδ where E is the Young's Modulus and υ is the Poisson's ratio. . The constitutive relation for shear . insulation. Bottom plug. Bottom wave guide. Top wave-guide. Pore fluid inlet. Your teacher is correct to say Hooke's law is only really valid up to the of proportionality limit to the point of elastic limit, the linear relationship. Elasticity: Young's modulus & Hooke's Law doesn't obey (F/A)= Y (∆l/l).elastic limit: after this strain threshold which the equation is no longer applicable!.
After going through the lesson's material, I will pass out a handout with example problems. Work these to the best of your abilities independently first; then we will review the problems as a class. After becoming familiar with using the new equations, we will explore Hooke's law in an associated activity Applying Hooke's Law to Cancer Detection by experimentally determining an unknown proportionality constant.
After exploring Hooke's law, in the second portion of the activity, we will begin to apply what we've learned to develop a means of imaging body tissues and we will soon be able to detect malignant tumors!
You will also practice graphing prepared data to depict cancerous tissue.
Stress, Strain and Hooke's Law - Lesson - TeachEngineering
After we have mastered this material, we will have a quiz on stress, strain and Hooke's law. Please take careful notes and be sure to ask any questions you have about the example problems we will be working through. Referring back to the legacy cycle which we discussed in the previous lesson, today's lesson constitutes the research and revise phase. Refer back to your initial thoughts notes and record any new information that applies to solving the challenge.
Your goal today is to review, revise and expand your current knowledge! Now, let's learn how to detect cancer.
Elasticity: Young's modulus & Hooke's Law - SchoolWorkHelper
Students begin to learn the basic concepts required for creating a strain graph to depict cancerous tissue. Following this lesson, have students revise their initial thoughts and at the conclusion of the associated activity, students should have the skills necessary to Go Public with a solution. The quiz serves as a formative assessment while the next lesson's Go Public phase provides a summative assessment. Lecture Information In the late s, Robert Hooke stated that "The power of any springy body is in the same proportion with the extension.
Steelcarbon fiber and glass among others are usually considered linear materials, while other materials such as rubber and soils are non-linear.
However, this is not an absolute classification: For example, as the linear theory implies reversibilityit would be absurd to use the linear theory to describe the failure of a steel bridge under a high load; although steel is a linear material for most applications, it is not in such a case of catastrophic failure.
In solid mechanicsthe slope of the stress—strain curve at any point is called the tangent modulus. It can be experimentally determined from the slope of a stress—strain curve created during tensile tests conducted on a sample of the material.
Elasticity: Young’s modulus & Hooke’s Law
Directional materials[ edit ] Young's modulus is not always the same in all orientations of a material. Most metals and ceramics, along with many other materials, are isotropicand their mechanical properties are the same in all orientations.
However, metals and ceramics can be treated with certain impurities, and metals can be mechanically worked to make their grain structures directional.
These materials then become anisotropicand Young's modulus will change depending on the direction of the force vector. Anisotropy can be seen in many composites as well. For example, carbon fiber has a much higher Young's modulus is much stiffer when force is loaded parallel to the fibers along the grain. Other such materials include wood and reinforced concrete.