你将学到什么
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 deormable bars in axial loading.
课程概况
Many natural and man-made structures can be modeled as assemblages 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 structural assemblages.
This course provides an introduction to behavior in which the shape of the structure is permanently changed by loading the material beyond its elastic limit (plasticity), and behavior in which the structural response changes over time (viscoelasticity).
This is the second 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). Fall Term
Part 2 – 2.02.1x Mechanics of Deformable Structures: Part 1. (Assemblages of Elastic, Elastic-Plastic, and Viscoelastic Bars in axial loading). Spring Term
Part 3 – 2.02.2x Mechanics of Deformable Structures: Part 2. (Assemblages of bars, shafts, and beams. Multi-axial Loading and Deformation. Energy Methods). Summer Term
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.
预备知识
Multivariable Calculus - (Derivatives, Integrals (1D, 2D)
Physics: Classical Mechanics - (Vectors, Forces, Torques, Newton’s Laws)
2.01x - (axial loading, torsion, bending)
常见问题
Q: Do we need to know how to solve differential equations to study viscoelasticity?
A: We will only consider very simple cases and we will teach you how to solve the relevant equations. Probably having seen differential equations before would be helpful but it is not strictly required. You may take the excellent MITx course "Introduction to Differnetial Equations" if you want to gain a broader perspective, but that level of mastery is not required here.
Q: Is this course similar to a residential course at MIT?
A: Yes, the three course series covers the same material taught in the MIT residential course 2.001: Mechanics and Materials I (the first core course in mechanical engineering typically taken the first semester of sophomore year).
Actually the online 3-course series is a slightly extended version of the residential 1-semester course.
Q: Will we continue to use MATLAB as we did in 2.01x?
A: Yes