1.050
Solid Mechanics
Introduction to statics and the principles of mechanics to describe the behavior of structures. Topics include free body diagrams, static equilibrium, force analysis of slender members, concept of stress and strain, linear elasticity, principal stresses and strains, Mohr's circle, and failure modes. Application to engineering structures such as bars, beams, frames, and trusses.
Fall 2007 · Engineering Mechanics I
Topics
- Introduction and Galileo’s problem
- Dimensional analysis and atomic explosion
- Dimensional analysis and application to engineering structures
- Newton’s laws of motion: the fall of the World Trade Center towers
- Stress vector and stress tensor
- Continuum model: hydrostatics example
- Continuum model: geostatics example
- Beam stress model
- Beam model II and summary
- Strength models
- Mohr stress plane and strength criteria
- Soil mechanics example
- Beam section strength model (M/N interactions)
- Strength of beam structures
- Review of stresses and strength
- Deformation and strain tensor
- Strain tensor (cont.)
- Mohr circle in strain space
- Beam deformation
- Elasticity: energy approach
- Continuum elasticity
- Elasticity: properties
- Elasticity solving methods
- Beam elasticity I
- Beam elasticity II
- Beam elasticity III
- Energy bounds: 1D system (minimum potential energy)
- Energy bounds: 1D system (minimum complementary energy)
- 1D energy methods: examples and applications
- Generalization to 3D
- Stress method for beam structures
- Energy methods for beam structures, example
- How stuff fails: stability (Euler buckling)
- Fracture mechanics I
- Fracture mechanics II
- Plastic collapse
- Last lecture: review and summary
Fall 2004
Topics
- Introduction
- Orientation
- Concept of Moment
- Pasta Uncertainty (cont.)
- Design Exercise 2
- Uniaxial Tension
- Uniaxial Tension (cont.)
- Indeterminate Systems
- Truss Matrix Analysis
- Truss Structures(cont.)
- Design Exercise 4
- Concrete Failure
- Design Exercise 5
- Design Exercise 6
- Frame Matrix Analysis
Readings
- week #: Week 1 · ses #: Lec 1 · Topics: Introduction · readings: 1.1-1.4
- week #: Week 2 · ses #: Lec 3 · Topics: Concept of Moment · readings: 2.2
- week #: Week 6 · ses #: Lab 9 · Topics: Indeterminate Systems · readings: 5.1
- week #: Week 7 · ses #: Lec 16 · Topics: Truss Matrix Analysis · readings: 5.2
- week #: Week 14 · ses #: Lec 34 · Topics: Frame Matrix Analysis · readings: 10.3
Prerequisites & course information
Prereq: Physics I (GIR) ; Coreq: Calculus II (GIR) U (Fall) 3-2-7 units. REST
Sources
- Course catalogue ↗2026–2027
- MIT OpenCourseWare ↗Fall 2007
- MIT OCW calendar ↗
- MIT OCW syllabus ↗
- MIT OpenCourseWare ↗Fall 2004
- MIT OCW calendar ↗
- MIT OCW syllabus ↗
- MIT OCW readings ↗
- Historical MIT OpenCourseWare offering. Named reading entries and schedule topics are automatically extracted from the linked source pages.
- Historical MIT OpenCourseWare offering. Named reading entries and schedule topics are automatically extracted from the linked source pages.