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Mechanics of Deformable Structures: Part 1

Study strength of materials, the foundational mechanical engineering subject. Learn how to analyze and predict deformation and failure in structures made of elastic, elastic-plastic and viscoelastic materials.

Mechanics of Deformable Structures: Part 1

Study strength of materials, the foundational mechanical engineering subject. Learn how to analyze and predict deformation and failure in structures made of elastic, elastic-plastic and viscoelastic materials.

Many natural and engineered structures can be modeled as systems of interconnected structural elements loaded along their axis (bars), in torsion (shafts) and in bending (beams). In this course you will learn to use equations for static equilibrium, geometric compatibility and constitutive material response to analyze the performance of structural systems.

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This online course from the MIT Department of Mechanical Engineering introduces two material behaviors: plasticity, where a structure undergoes permanent deformation beyond its elastic limit, and viscoelasticity, where the structural response changes over time under stress.

This is the first course in a 3-part series which explores how mechanical engineers use analytical methods and calculations to predict structural behavior. The three courses in the series are:

Part 1 – 2.01x: Elements of Structures. (Elastic response of Structural Elements: Bars, Shafts, Beams).

Part 2 – 2.02.1x Mechanics of Deformable Structures: Part 1. (Assemblages of Elastic, Elastic-Plastic, and Viscoelastic Bars in axial loading).

Part 3 – 2.02.2x Mechanics of Deformable Structures: Part 2. (Assemblages of bars, shafts, and beams. Multi-axial Loading and Deformation. Energy Methods).

Based on the first subject in solid mechanics for MIT Mechanical Engineering students, these undergraduate-level courses will teach you to rely on the notions of equilibrium, geometric compatibility, and constitutive material response to ensure that your structures will perform their specified mechanical functions without failing.

What you'll learn

  • Use Free Body Diagrams to formulate equilibrium equations in structural assemblages.
  • Identify geometric constraints to formulate compatibility equations in structural assemblages.
  • Understand the formulation of thermo-elastic, elastic-perfectly-plastic and linear viscoelastic models for the material response.
  • Analyze and predict the mechanical behavior of statically determinate and statically indeterminate assemblages with deformable bars in axial loading.

Prerequisites

Multivariable Calculus (Derivatives, Integrals (1D, 2D); Physics: Classical Mechanics (Vectors, Forces, Torques, Newton’s Laws); 2.01x (axial loading, torsion, bending).

Meet your instructors

  • Featured image for Simona Socrate
    Senior Lecturer
  • Featured image for David Parks
    Professor, Mechanical Engineering

Who can take this course?

Because of U.S. Office of Foreign Assets Control (OFAC) restrictions and other U.S. federal regulations, learners residing in one or more of the following countries or regions will not be able to register for this course: Iran, Cuba, North Korea and the Crimea, Donetsk People's Republic and Luhansk People's Republic regions of Ukraine.