Mechanics of Deformable Structures: Part 2

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8 Weeks
$ 99

Brief Introduction

Study the foundational mechanical engineering subject “Strength of Materials”. In this course you will learn to analyze multi-axial states of stress and strain, selecting “objective” failure criteria, and to predict linear elastic structural response using energy methods.

Description

In this course: (1) you will learn to model the multi-axial stress-strain response of isotropic linear elastic material due to combined loads (axial, torsional, bending); (2) you will learn to obtain objective measures of the severity of the loading conditions to prevent failure; (3) you will learn to use energy methods to efficiently predict the structural response of statically determinate and statically indeterminate structures.

This course will give you a foundation to predict and prevent structural failure and will introduce you to energy methods, which form one basis for numerical techniques (like the Finite Element Method) to solve complex mechanics problems

This is the third course in a 3-part series. In this series you will learn how mechanical engineers can use analytical methods and “back of the envelope” 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 Structural Elements).

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

These courses are based on the first subject in solid mechanics for MIT Mechanical Engineering students. Join them and learn to rely on the notions of equilibrium, geometric compatibility, and constitutive material response to ensure that your structures will perform their specified mechanical function without failing.

Knowledge

  • Hooke’s law for isotropic linear elastic materials and homogeneous problems in linear elasticity. Pressure vessels. Superposition of loading conditions.
  • Traction on a face. Stress transformation. Principal stress components. Stress and strain invariants. Tresca and Mises yield criteria.
  • Elastic strain energy. Castigliano methods. Potential energy formulations. Approximate solutions and the Rayleigh Ritz method

Keywords

$ 99
English
Available now
8 Weeks
David Parks, Simona Socrate
MITx
edX

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