In this math activity, students conduct a strength test using modeling clay, creating their own stress vs. strain graphs, which they compare to typical steel and concrete graphs. They learn the difference between brittle and ductile materials and how understanding the strength of materials, especially steel and concrete, is important for engineers who design bridges and structures.

Investigate collisions on an air hockey table. Set up your own experiments: vary the number of discs, masses and initial conditions. Is momentum conserved? Is kinetic energy conserved? Vary the elasticity and see what happens.

16.225 is a graduate level course on Computational Mechanics of Materials. The primary focus of this course is on the teaching of state-of-the-art numerical methods for the analysis of the nonlinear continuum response of materials. The range of material behavior considered in this course will include: linear and finite deformation elasticity, inelasticity and dynamics. Numerical formulation and algorithms will include: Variational formulation and variational constitutive updates, finite element discretization, error estimation, constrained problems, time integration algorithms and convergence analysis. There will be a strong emphasis on the (parallel) computer implementation of algorithms in programming assignments. At the beginning of the course, the students will be given the source of a base code with all the elements of a finite element program which constitute overhead and do not contribute to the learning objectives of this course (assembly and equation-solving methods, etc.). Each assignment will consist of formulating and implementing on this basic platform, the increasingly complex algorithms resulting from the theory given in class, as well as in using the code to numerically solve specific problems. The application to real engineering applications and problems in engineering science will be stressed throughout.

This subject provides an introduction to the mechanics of materials and structures. You will be introduced to and become familiar with all relevant physical properties and fundamental laws governing the behavior of materials and structures and you will learn how to solve a variety of problems of interest to civil and environmental engineers. While there will be a chance for you to put your mathematical skills obtained in 18.01, 18.02, and eventually 18.03 to use in this subject, the emphasis is on the physical understanding of why a material or structure behaves the way it does in the engineering design of materials and structures.

In economics, the term 'labor' refers to workers. As a factor of production, labor earns wages for the services that it renders. As such, students of labor economics have traditionally set out to understand wage formation, the level of employment, and all elements that go into the making of a wage relationship. Over the years, the social and economic contexts in which labor markets operate have become increasingly complex; nowadays, labor economics is no longer limited to the study of wages. Modern labor economics instead seeks to understand the complex workings of the labor market by studying the dynamics between employers, employees, and their wage-, price-, and profit-making incentives. In other words, modern labor economics explores the outcomes of the labor market under the assumption that workers strive to maximize their wellbeing and firms strive to maximize profits. It also analyzes the behavior of employers and employees and studies their responses to changes in government policies and/or in the demographic composition of the labor force. Upon successful completion of this course, students will be able to: Demonstrate an understanding of basic labor economics theory, including labor market structures and wage determination; Apply their understanding of theoretical models to analyze trends in data pertaining to topics in labor economics; Apply their understanding of theoretical models to case studies presented in the course; Construct, defend, and analyze important labor policy issues; Comprehend, assess, and criticize existing empirical work in labor economics. (Economics 303)

" Here we will learn about the mechanical behavior of structures and materials, from the continuum description of properties to the atomistic and molecular mechanisms that confer those properties to all materials. We will cover elastic and plastic deformation, creep, and fracture of materials including crystalline and amorphous metals, ceramics, and (bio)polymers, and will focus on the design and processing of materials from the atomic to the macroscale to achieve desired mechanical behavior. Integrated laboratories provide the opportunity to explore these concepts through hands-on experiments including instrumentation of pressure vessels, visualization of atomistic deformation in bubble rafts, nanoindentation, and uniaxial mechanical testing, as well as writing Assignments and Labs to communicate these findings to either general scientific or nontechnical audiences."

" Here we will learn about the mechanical behavior of structures and materials, from the continuum description of properties to the atomistic and molecular mechanisms that confer those properties to all materials. We will cover elastic and plastic deformation, creep, fracture and fatigue of materials including crystalline and amorphous metals, semiconductors, ceramics, and (bio)polymers, and will focus on the design and processing of materials from the atomic to the macroscale to achieve desired mechanical behavior. We will cover special topics in mechanical behavior for material systems of your choice, with reference to current research and publications."

Phenomenology of mechanical behavior of materials at the macroscopic level. Relationship of mechanical behavior to material structure and mechanisms of deformation and failure. Topics include: elasticity, viscoelasticity, plasticity, creep, fracture, and fatigue. Case studies and examples drawn from a variety of classes of materials including: metals, ceramics, polymers, thin films, composites, and cellular materials.

Introduction to statics and the mechanics of deformable solids. Emphasis on the three basic principles of equilibrium, geometric compatibility, and material behavior. Stress and its relation to force and moment; strain and its relation to displacement; linear elasticity with thermal expansion. Failure modes. Application to simple engineering structures such as rods, shafts, beams, and trusses. Application to design. Introduction to material selection. This course provides an introduction to the mechanics of solids with applications to science and engineering. We emphasize the three essential features of all mechanics analyses, namely: (a) the geometry of the motion and/or deformation of the structure, and conditions of geometric fit, (b) the forces on and within structures and assemblages; and (c) the physical aspects of the structural system (including material properties) which quantify relations between the forces and motions/deformation.

8.01 is a first-semester freshman physics class in Newtonian Mechanics, Fluid Mechanics, and Kinetic Gas Theory. In addition to the basic concepts of Newtonian Mechanics, Fluid Mechanics, and Kinetic Gas Theory, a variety of interesting topics are covered in this course: Binary Stars, Neutron Stars, Black Holes, Resonance Phenomena, Musical Instruments, Stellar Collapse, Supernovae, Astronomical observations from very high flying balloons (lecture 35), and you will be allowed a peek into the intriguing Quantum World.

The purpose of this course is to provide the student with a basic understanding of the principles of microeconomics. At its core, the study of economics deals with the choices and decisions that have to be made in order to manage scarce resources available to us. Microeconomics is the branch of economics that pertains to decisions made at the individual level, i.e. by individual consumers or individual firms, after evaluating resources, costs, and tradeoffs. "The economy" refers to the marketplace or system in which these choices interact with one another. In this course, the student will learn how and why these decisions are made and how they affect one another in the economy. Upon successful completion of this course, students will be able to: Think intuitively about economic problems; Identify how individual economic agents make rational choices given scarce resources and will know how to optimize the use of resources at hand; Understand some simplistic economic models related to Production, Trade, and the Circular Flow of Resources; Analyze and apply the mechanics of Demand and Supply for Individuals, Firms, and the Market; Apply the concept of Marginal Analysis in order to make optimal choices and identify whether the choices are 'efficient' or 'equitable'; Apply the concept of Elasticity as a measure of responsiveness to various variables; Identify the characteristic differences amongst various market structures, namely, Perfectly Competitive Markets, Non-Competitive Markets, and Imperfectly Competitive Markets and understand the differences in their operation; Analyze how the Demand and Supply technique works for the Resource Markets. (Economics 101; See also: Business Administration 200)

Groups of students make a polymer out of household items. They then experiment with the polymer to determine its various properties.