# Elements of Structures

An introduction to the subject “strength of materials." In this course you will learn to predict the mechanical response of deformable elastic structural elements like rods, beams and shafts.
This course is archived
Estimated 10 weeks
10–12 hours per week
Instructor-paced
Instructor-led on a course schedule

2.01x introduces principles of structural analysis and strength of materials in applications to three essential types of elastic load-bearing elements: bars in axial loading, axisymmetric shafts in torsion, and symmetric beams in bending. The course covers fundamental concepts of continuum mechanics, including internal resultants, displacement field, stress, and strain.

While emphasizing analytical techniques, the course also provides an introduction to computing environments (MATLAB).

This is the first 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. (Thermal Expansion, Plasticity, Viscoelasticity. Assemblages of Elastic, Elastic-Plastic, and Viscoelastic Bars). Next session starts February 2019.

Part 3 – 2.02.2x Mechanics of Deformable Structures: Part 2. (Assemblages of Elastic, Elastic-Plastic, and Viscoelastic Bars Shafts and Beams. Multi-axial Loading and Deformation. Pressure vessels. Energy Methods). Next session starts June 2019.

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.

### At a glance

• Institution: MITx
• Subject: Engineering
• Level: Intermediate
• Prerequisites:
• Multivariable Calculus
• Physics: Classical Mechanics
• (Derivatives, Integrals (1D, 2D), Vectors, Forces, Torques)
• Language: English

# What you'll learn

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In 2.01x you will:
• Use free body diagrams to formulate equilibrium equations;
• Identify geometric constraints to formulate compatibility equations;
• Understand the concepts of stress and strain at a material point.
For three fundamental types of slender structural elements (elastic bars, beams and shafts) you will learn:
• to calculate internal stress and strain fields in the loaded elements;
• to predict the deformation in the loaded elements;
• to design structural elements so as to prevent failure;
• to use numerical methods (MATLAB) in structural engineering application.

# Syllabus

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Week 1: Introduction and Preliminaries
Introduction, Review of Forces and Moments, Review on Integration, Introduction to MATLAB.

Equilibrium in 1D. Free body diagrams. Internal force resultant. Normal stress and strain. Compatibility. Structural response for statically determinate bars in axial loading.

Response of inhomogeneous bars with varying cross section. Statically indeterminate problems.

Week 5: Torsion I
Shear stress and strain. Internal torque resultant. Structural Response for statically determinate circular shafts in torsion.

Week 6: Torsion II
Response of inhomogeneous shafts with varying cross section. Statically indeterminate problems.

Week 7: Quiz 2 (Torsion)

Week 8: Bending I
Internal bending moment resultant. Curvature and neutral axis. Stress and strain distribution. Structural Response for statically determinate symmetric beams in bending.

Week 9: Bending II
Response of inhomogeneous beams with varying cross section. Statically indeterminate problems.

Week 10: Quiz 3 (Bending)

# Learner testimonials

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"This was an outstanding and truly enjoyable course...Didactic (and fun) video lessons; concise and clear board notes; problems and quizzes with outstanding (and very professionally presented) answer sections, which were very helpful to consolidate the acquired knowledge...Being a senior engineer who spent most of his career in management, it makes me really envious of the possibilities that current students, from all over the world, have to attend top classes as this one."