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Course 2: Mechanical Engineering |
 | | | 2.000-2.199 | | | 2.20-2.7999 | | | 2.80-2.999 plus Thesis, UROP, UPOP | | |  |
First-Year Introductory Subjects2.00A Designing for the Future: Earth, Sea, and Space
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Prereq: Calculus I (GIR) and Physics I (GIR) Units: 3-3-3 
Student teams formulate and complete space/earth/ocean exploration-based design projects with weekly milestones. Introduces core engineering themes, principles, and modes of thinking. Specialized learning modules enable teams to focus on the knowledge required to complete their projects, such as machine elements, electronics, design process, visualization and communication. Includes exercises in written and oral communication and team building. Examples of projects include surveying a lake for millfoil, from a remote controlled aircraft, and then sending out robotic harvesters to clear the invasive growth; and exploration to search for the evidence of life on a moon of Jupiter, with scientists participating through teleoperation and supervisory control of robots. Enrollment limited; preference to freshmen. Staff 2.00B Toy Product Design
()Not offered regularly; consult department Prereq: None Units: 3-5-1
Provides students with an overview of design for entertainment and play, as well as opportunities in creative product design and community service. Students develop ideas for new toys that serve clients in the community, and work in teams with local sponsors and with experienced mentors on a themed toy design project. Students enhance creativity and experience fundamental aspects of the product development process, including determining customer needs, brainstorming, estimation, sketching, sketch modeling, concept development, design aesthetics, detailed design, and prototyping. Includes written, visual, and oral communication. Enrollment limited; preference to freshmen. Staff 2.S00 Special Subject in Mechanical Engineering
()  ; second half of term
Prereq: None Units arranged
Lecture, seminar, or laboratory subject consisting of material not offered in regularly scheduled subjects. Can be repeated for credit only for completely different subject matter. Staff 2.S01 Special Subject in Mechanical Engineering
(); second half of term
Prereq: None Units arranged
Lecture, seminar, or laboratory subject consisting of material not offered in regularly scheduled subjects. Can be repeated for credit only for completely different subject matter. Staff 2.S02 Special Subject in Mechanical Engineering
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Prereq: None Units arranged
Lecture, seminar, or laboratory subject consisting of material not offered in regularly scheduled subjects. Can be repeated for credit only for completely different subject matter. Staff 2.00C[J] Design for Complex Environmental Issues
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(Same subject as 1.016[J], EC.746[J]) Prereq: None Units: 3-1-5
Working in small teams with real clients, students develop solutions related to the year's Terrascope topic. They have significant autonomy as they follow a full engineering design cycle from client profile through increasingly sophisticated prototypes to final product. Provides opportunities to acquire skills with power tools, workshop practice, design, product testing, and teamwork. Focuses on sustainability and appropriate technology that matches the client's specific situation and constraints. Products are exhibited in the public Bazaar of Ideas and evaluated by an expert panel. Class taught in collaboration with D-Lab and Beaver Works. Limited to first-year students. Open to students outside of Terrascope. A. W. Epstein, S. L. Hsu, J. Grimm Core Undergraduate Subjects2.00 Introduction to Design
( , ); second half of term
Prereq: None Units: 2-2-2 Lecture: MW3.30-5 (BEGINS OCT 21) (3-370) Lab: R9.30-12.30 (BEGINS OCT 21) (1-307) or TBA or TBA
Project-based introduction to product development and engineering design. Emphasizes key elements of the design process, including defining design problems, generating ideas, and building solutions. Presents a range of design techniques to help students think about, evaluate, and communicate designs, from sketching to physical prototyping, as well as other types of modeling. Students work both individually and in teams. Fall: M. Yang Spring: Staff No textbook information available 2.000 Explorations in Mechanical Engineering
()Not offered regularly; consult department Prereq: None Units: 2-0-0 [P/D/F]
Broad introduction to the various aspects of mechanical engineering at MIT, including mechanics, design, controls, energy, ocean engineering, bioengineering, and micro/nano engineering through a variety of experiences, including discussions led by faculty, students, and industry experts. Reviews research opportunities and undergraduate major options in Course 2 as well as a variety of career paths pursued by alumni. Subject can count toward the 6-unit discovery-focused credit limit for first year students. Staff 2.001 Mechanics and Materials I
(, ) 
Prereq: Physics I (GIR); Coreq: 2.087 or 18.03 Units: 4-1-7 Lecture: TR10.30-12.30 (10-250) Recitation: R1.30-3 (1-307) or R3-4.30 (1-307) or R EVE (7-8.30 PM) (1-307) or F9.30-11 (1-307) or F11-12.30 (1-307) or F12.30-2 (1-307) or F2-3.30 (1-307) or F3.30-5 (1-307) +final
Introduction to statics and the mechanics of deformable solids. Emphasis on the three basic principles of equilibrium, geometric compatibility, and material behavior. Stress and its relation to force and moment; strain and its relation to displacement; linear elasticity with thermal expansion. Failure modes. Application to simple engineering structures such as rods, shafts, beams, and trusses. Application to biomechanics of natural materials and structures. P. Hosoi, R. Raman No textbook information available 2.002 Mechanics and Materials II
()
Prereq: Chemistry (GIR) and 2.001 Units: 3-3-6
Introduces mechanical behavior of engineering materials, and the use of materials in mechanical design. Emphasizes the fundamentals of mechanical behavior of materials, as well as design with materials. Major topics: elasticity, plasticity, limit analysis, fatigue, fracture, and creep. Materials selection. Laboratory experiments involving projects related to materials in mechanical design. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors. Staff 2.003[J] Dynamics and Control I
(, )
(Same subject as 1.053[J]) Prereq: Physics II (GIR); Coreq: 2.087 or 18.03 Units: 4-1-7 Lecture: TR9-10.30 (10-250) Recitation: R12 (1-371) or R1 (3-442) or R2 (3-442) or F10 (5-217) or F11 (5-217) or F12 (5-217) +final
Introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Kinematics. Force-momentum formulation for systems of particles and rigid bodies in planar motion. Work-energy concepts. Virtual displacements and virtual work. Lagrange's equations for systems of particles and rigid bodies in planar motion. Linearization of equations of motion. Linear stability analysis of mechanical systems. Free and forced vibration of linear multi-degree of freedom models of mechanical systems; matrix eigenvalue problems. Fall: F. Hover Spring: T. Peacock No required or recommended textbooks 2.004 Dynamics and Control II
(, )
Prereq: Physics II (GIR) and 2.003 Units: 4-2-6 Lecture: TR9.30-11 (3-270) Lab: M1-3 (3-062B) or M3-5 (3-062B) or T1-3 (3-062B) or T3-5 (3-062B) Recitation: F11 (3-270)
Modeling, analysis, and control of dynamic systems. System modeling: lumped parameter models of mechanical, electrical, and electromechanical systems; interconnection laws; actuators and sensors. Linear systems theory: linear algebra; Laplace transform; transfer functions, time response and frequency response, poles and zeros; block diagrams; solutions via analytical and numerical techniques; stability. Introduction to feedback control: closed-loop response; PID compensation; steady-state characteristics, root-locus design concepts, frequency-domain design concepts. Laboratory experiments and control design projects. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors. Fall: D. Del Vecchio Spring: F. Hover No textbook information available 2.005 Thermal-Fluids Engineering I
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Prereq: (Physics II (GIR), 18.03, and (2.086, 6.100B, or 18.06)) or permission of instructor Units: 5-0-7 Lecture: MW9-11 (1-190) Recitation: R2 (1-246) or R3 (1-246) or R4 (1-246) or F10 (1-246) or F11 (1-246) +final
Integrated development of the fundamental principles of thermodynamics, fluid mechanics, and heat transfer, with applications. Focuses on the first and second laws of thermodynamics, mass conservation, and momentum conservation, for both closed and open systems. Entropy generation and its influence on the performance of engineering systems. Introduction to dimensionless numbers. Introduction to heat transfer: conduction, convection, and radiation. Steady-state and transient conduction. Finned surfaces. The heat equation and the lumped capacitance model. Coupled and uncoupled fluid models. Hydrostatics. Inviscid flow analysis and Bernoulli equation. Navier-Stokes equation and its solutions. Viscous internal flows, head losses, and turbulence. Introduction to pipe flows and Moody chart. Fall: P. Lermusiaux Spring: J. Buongiorno, K. Varanasi No textbook information available 2.006 Thermal-Fluids Engineering II
(, )
Prereq: 2.005 Units: 5-0-7 Lecture: MW9.30-11,F9 (3-370) Recitation: F1 (1-371) or F2 (1-371) +final
Focuses on the application of the principles of thermodynamics, heat transfer, and fluid mechanics to the design and analysis of engineering systems. Dimensional analysis, similarity, and modeling. Pipe systems: major and minor losses. Laminar and turbulent boundary layers. Boundary layer separation, lift and drag on objects. Heat transfer associated with laminar and turbulent flow of fluids in free and forced convection in channels and over surfaces. Pure substance model. Heat transfer in boiling and condensation. Thermodynamics and fluid mechanics of steady flow components of thermodynamic plants. Heat exchanger design. Power cycles and refrigeration plants. Design of thermodynamic plants. Analyses for alternative energy systems. Multi-mode heat transfer and fluid flow in thermodynamic plants. Fall: R. Karnik Spring: S. Deng, J. Brisson Textbooks (Fall 2024) 2.007 Design and Manufacturing I
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Prereq: 2.001 and 2.670; Coreq: 2.086 Units: 3-4-5
Develops students' competence and self-confidence as design engineers. Emphasis on the creative design process bolstered by application of physical laws. Instruction on how to complete projects on schedule and within budget. Robustness and manufacturability are emphasized. Subject relies on active learning via a major design-and-build project. Lecture topics include idea generation, estimation, concept selection, visual thinking, computer-aided design (CAD), mechanism design, machine elements, basic electronics, technical communication, and ethics. Lab fee. Limited enrollment. Pre-registration required for lab assignment; special sections by lottery only. S. Kim, A. Winter 2.008 Design and Manufacturing II
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Prereq: 2.007; or Coreq: 2.017 and (2.005 or 2.051) Units: 3-3-6 Lecture: W2-5 (35-225) Lab: M2-5 (35-125) or T9-12 (35-125) or T2-5 (35-125) or W9-12 (35-125) or R9-12 (35-125) or R2-5 (35-125)
Integration of design, engineering, and management disciplines and practices for analysis and design of manufacturing enterprises. Emphasis is on the physics and stochastic nature of manufacturing processes and systems, and their effects on quality, rate, cost, and flexibility. Topics include process physics and control, design for manufacturing, and manufacturing systems. Group project requires design and fabrication of parts using mass-production and assembly methods to produce a product in quantity. Six units may be applied to the General Institute Lab Requirement. Satisfies 6 units of Institute Laboratory credit. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors. Fall: K. Becker Spring: J.-H. Chun, J. Ramos Textbooks (Fall 2024) 2.009 The Product Engineering Process
()
Prereq: 2.001, 2.003, (2.005 or 2.051), and (2.00B, 2.670, or 2.678) Units: 3-3-9 Lecture: MWF1 (10-250) Lab: T2-5 (3-037A) or T2-5 (3-037C) or W2-5 (3-037A) or W2-5 (3-037C) or W9-12 (3-037A) or M2-5 (3-037A)
Students develop an understanding of product development phases and experience working in teams to design and construct high-quality product prototypes. Design process learned is placed into a broader development context. Primary goals are to improve ability to reason about design alternatives and apply modeling techniques appropriate for different development phases; understand how to gather and process customer information and transform it into engineering specifications; and use teamwork to resolve the challenges in designing and building a substantive product prototype. Instruction and practice in oral communication provided. Enrollment may be limited due to laboratory capacity; preference to Course 2 seniors. A. Hosoi No textbook information available 2.013 Engineering Systems Design
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(Subject meets with 2.733) Prereq: (2.001, 2.003, (2.005 or 2.051), and (2.00B, 2.670, or 2.678)) or permission of instructor Units: 0-6-6 Lecture: TR2.30-5 (NE45-202A)
Focuses on the design of engineering systems to satisfy stated performance, stability, and/or control requirements. Emphasizes individual initiative, application of fundamental principles, and the compromises inherent in the engineering design process. Culminates in the design of an engineering system, typically a vehicle or other complex system. Includes instruction and practice in written and oral communication through team presentations, design reviews, and written reports. Students taking graduate version complete additional assignments. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors. D. Hart No required or recommended textbooks 2.014 Engineering Systems Development
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(Subject meets with 2.734) Prereq: (2.001, 2.003, (2.005 or 2.051), and (2.00B, 2.670, or 2.678)) or permission of instructor Units: 0-6-6
Focuses on implementation and operation of engineering systems. Emphasizes system integration and performance verification using methods of experimental inquiry. Students refine their subsystem designs and the fabrication of working prototypes. Includes experimental analysis of subsystem performance and comparison with physical models of performance and with design goals. Component integration into the full system, with detailed analysis and operation of the complete vehicle in the laboratory and in the field. Includes written and oral reports. Students carry out formal reviews of the overall system design. Instruction and practice in oral and written communication provided. Students taking graduate version complete additional assignments. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors. Staff 2.016 Hydrodynamics
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Prereq: 2.005 Units: 3-0-9 Lecture: TR11-12.30 (3-442)
Covers fundamental principles of fluid mechanics and applications to practical ocean engineering problems. Basic geophysical fluid mechanics, including the effects of salinity, temperature, and density; heat balance in the ocean; large scale flows. Hydrostatics. Linear free surface waves, wave forces on floating and submerged structures. Added mass, lift and drag forces on submerged bodies. Includes final project on current research topics in marine hydrodynamics. A. Techet No textbook information available 2.017[J] Design of Electromechanical Robotic Systems
()
(Same subject as 1.015[J]) Prereq: 2.003, 2.016, and 2.678; Coreq: 2.671 Units: 3-3-6
Design, construction, and testing of field robotic systems, through team projects with each student responsible for a specific subsystem. Projects focus on electronics, instrumentation, and machine elements. Design for operation in uncertain conditions is a focus point, with ocean waves and marine structures as a central theme. Basic statistics, linear systems, Fourier transforms, random processes, spectra and extreme events with applications in design. Lectures on ethics in engineering practice included. Instruction and practice in oral and written communication provided. Satisfies 6 units of Institute Laboratory credit. Enrollment may be limited due to laboratory capacity. M. Triantafyllou, T. Consi 2.019 Design of Ocean Systems
()
Prereq: 2.001, 2.003, and (2.005 or 2.016) Units: 3-3-6
Complete cycle of designing an ocean system using computational design tools for the conceptual and preliminary design stages. Team projects assigned, with each student responsible for a specific subsystem. Lectures cover hydrodynamics; structures; power and thermal aspects of ocean vehicles, environment, materials, and construction for ocean use; generation and evaluation of design alternatives. Focus on innovative design concepts chosen from high-speed ships, submersibles, autonomous vehicles, and floating and submerged deep-water offshore platforms. Lectures on ethics in engineering practice included. Instruction and practice in oral and written communication provided. Enrollment may be limited due to laboratory capacity; preference to Course 2 seniors. Staff 2.086 Numerical Computation for Mechanical Engineers
(, )
Prereq: Calculus II (GIR) and Physics I (GIR); Coreq: 2.087 or 18.03 Units: 2-2-8 Lecture: MW12 (3-270) Lab: W2.30-4.30 (3-442) or R9-11 (5-134) or R2.30-4.30 (35-310) or F9-11 (5-134) +final
Covers elementary programming concepts, including variable types, data structures, and flow control. Provides an introduction to linear algebra and probability. Numerical methods relevant to MechE, including approximation (interpolation, least squares, and statistical regression), integration, solution of linear and nonlinear equations, and ordinary differential equations. Presents deterministic and probabilistic approaches. Uses examples from MechE, particularly from robotics, dynamics, and structural analysis. Assignments require MATLAB programming. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors. Fall: D. Frey Spring: D. Frey No required or recommended textbooks 2.087 Engineering Mathematics: Linear Algebra and ODEs
(); first half of termNot offered regularly; consult department Prereq: Calculus II (GIR) and Physics I (GIR) Units: 2-0-4
Introduction to linear algebra and ordinary differential equations (ODEs), including general numerical approaches to solving systems of equations. Linear systems of equations, existence and uniqueness of solutions, Gaussian elimination. Initial value problems, 1st and 2nd order systems, forward and backward Euler, RK4. Eigenproblems, eigenvalues and eigenvectors, including complex numbers, functions, vectors and matrices. Staff Dynamics and Acoustics2.032 Dynamics
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Prereq: 2.003 Units: 4-0-8 Lecture: MW1-2.30 (1-150) Recitation: T4 (1-371)
Review of momentum principles. Hamilton's principle and Lagrange's equations. Three-dimensional kinematics and dynamics of rigid bodies. Study of steady motions and small deviations therefrom, gyroscopic effects, causes of instability. Free and forced vibrations of lumped-parameter and continuous systems. Nonlinear oscillations and the phase plane. Nonholonomic systems. Introduction to wave propagation in continuous systems. T. Akylas No textbook information available 2.033[J] Nonlinear Dynamics and Turbulence
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(Same subject as 1.686[J], 18.358[J]) (Subject meets with 1.068) Prereq: 1.060A Units: 3-2-7
Reviews theoretical notions of nonlinear dynamics, instabilities, and waves with applications in fluid dynamics. Discusses hydrodynamic instabilities leading to flow destabilization and transition to turbulence. Focuses on physical turbulence and mixing from homogeneous isotropic turbulence. Also covers topics such as rotating and stratified flows as they arise in the environment, wave-turbulence, and point source turbulent flows. Laboratory activities integrate theoretical concepts covered in lectures and problem sets. Students taking graduate version complete additional assignments. L. Bourouiba 2.034[J] Nonlinear Dynamics and Waves
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(Same subject as 1.685[J], 18.377[J]) Prereq: Permission of instructor Units: 3-0-9
A unified treatment of nonlinear oscillations and wave phenomena with applications to mechanical, optical, geophysical, fluid, electrical and flow-structure interaction problems. Nonlinear free and forced vibrations; nonlinear resonances; self-excited oscillations; lock-in phenomena. Nonlinear dispersive and nondispersive waves; resonant wave interactions; propagation of wave pulses and nonlinear Schrodinger equation. Nonlinear long waves and breaking; theory of characteristics; the Korteweg-de Vries equation; solitons and solitary wave interactions. Stability of shear flows. Some topics and applications may vary from year to year. Staff 2.036[J] Nonlinear Dynamics and Chaos
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(Same subject as 18.385[J]) Prereq: 18.03 or 18.032 Units: 3-0-9
Introduction to the theory of nonlinear dynamical systems with applications from science and engineering. Local and global existence of solutions, dependence on initial data and parameters. Elementary bifurcations, normal forms. Phase plane, limit cycles, relaxation oscillations, Poincare-Bendixson theory. Floquet theory. Poincare maps. Averaging. Near-equilibrium dynamics. Synchronization. Introduction to chaos. Universality. Strange attractors. Lorenz and Rossler systems. Hamiltonian dynamics and KAM theory. Uses MATLAB computing environment. Staff 2.050[J] Nonlinear Dynamics: Chaos
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(Same subject as 12.006[J], 18.353[J]) Prereq: Physics II (GIR) and (18.03 or 18.032) Units: 3-0-9 Lecture: TR9.30-11 (2-131)
Introduction to nonlinear dynamics and chaos in dissipative systems. Forced and parametric oscillators. Phase space. Periodic, quasiperiodic, and aperiodic flows. Sensitivity to initial conditions and strange attractors. Lorenz attractor. Period doubling, intermittency, and quasiperiodicity. Scaling and universality. Analysis of experimental data: Fourier transforms, Poincare sections, fractal dimension, and Lyapunov exponents. Applications to mechanical systems, fluid dynamics, physics, geophysics, and chemistry. See 12.207J/18.354J for Nonlinear Dynamics: Continuum Systems. R. Rosales Textbooks (Fall 2024) 2.060[J] Structural Dynamics
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(Same subject as 1.581[J], 16.221[J]) (Subject meets with 1.058) Prereq: 18.03 or permission of instructor Units: 3-1-8 Lecture: MW9.30-11 (1-371)
Examines response of structures to dynamic excitation: free vibration, harmonic loads, pulses and earthquakes. Covers systems of single- and multiple-degree-of-freedom, up to the continuum limit, by exact and approximate methods. Includes applications to buildings, ships, aircraft and offshore structures. Students taking graduate version complete additional assignments. H. Borja da Rocha No required or recommended textbooks 2.062[J] Wave Propagation
()Not offered regularly; consult department (Same subject as 1.138[J], 18.376[J]) Prereq: 2.003 and 18.075 Units: 3-0-9
Theoretical concepts and analysis of wave problems in science and engineering with examples chosen from elasticity, acoustics, geophysics, hydrodynamics, blood flow, nondestructive evaluation, and other applications. Progressive waves, group velocity and dispersion, energy density and transport. Reflection, refraction and transmission of plane waves by an interface. Mode conversion in elastic waves. Rayleigh waves. Waves due to a moving load. Scattering by a two-dimensional obstacle. Reciprocity theorems. Parabolic approximation. Waves on the sea surface. Capillary-gravity waves. Wave resistance. Radiation of surface waves. Internal waves in stratified fluids. Waves in rotating media. Waves in random media. T. R. Akylas, R. R. Rosales 2.065 Acoustics and Sensing
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(Subject meets with 2.066) Prereq: 2.003, 6.3000, 8.03, or 16.003 Units: 3-0-9
Introduces the fundamental concepts of acoustics and sensing with waves. Provides a unified theoretical approach to the physics of image formation through scattering and wave propagation in sensing. The linear and nonlinear acoustic wave equation, sources of sound, including musical instruments. Reflection, refraction, transmission and absorption. Bearing and range estimation by sensor array processing, beamforming, matched filtering, and focusing. Diffraction, bandwidth, ambient noise and reverberation limitations. Scattering from objects, surfaces and volumes by Green's Theorem. Forward scatter, shadows, Babinet's principle, extinction and attenuation. Ray tracing and waveguides in remote sensing. Applications to acoustic, radar, seismic, thermal and optical sensing and exploration. Students taking the graduate version complete additional assignments. Staff 2.066 Acoustics and Sensing
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(Subject meets with 2.065) Prereq: 2.003, 6.3000, 8.03, 16.003, or permission of instructor Units: 3-0-9
Introduces the fundamental concepts of acoustics and sensing with waves. Provides a unified theoretical approach to the physics of image formation through scattering and wave propagation in sensing. The linear and nonlinear acoustic wave equation, sources of sound, including musical instruments. Reflection, refraction, transmission and absorption. Bearing and range estimation by sensor array processing, beamforming, matched filtering, and focusing. Diffraction, bandwidth, ambient noise and reverberation limitations. Scattering from objects, surfaces and volumes by Green's Theorem. Forward scatter, shadows, Babinet's principle, extinction and attenuation. Ray tracing and waveguides in remote sensing. Applications to acoustic, radar, seismic, thermal and optical sensing and exploration. Students taking the graduate version of the subject complete additional assignments. N. C. Makris Solid Mechanics and Materials2.071 Mechanics of Solid Materials
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Prereq: 2.002 Units: 4-0-8
Fundamentals of solid mechanics applied to the mechanical behavior of engineering materials. Kinematics of deformation, stress, and balance principles. Isotropic linear elasticity and isotropic linear thermal elasticity. Variational and energy methods. Linear viscoelasticity. Small-strain elastic-plastic deformation. Mechanics of large deformation; nonlinear hyperelastic material behavior. Foundations and methods of deformable-solid mechanics, including relevant applications. Provides base for further study and specialization within solid mechanics, including continuum mechanics, computational mechanics (e.g., finite-element methods), plasticity, fracture mechanics, structural mechanics, and nonlinear behavior of materials. Staff 2.072 Mechanics of Continuous Media
()Not offered regularly; consult department Prereq: 2.071 Units: 3-0-9
Principles and applications of continuum mechanics. Kinematics of deformation. Thermomechanical conservation laws. Stress and strain measures. Constitutive equations including some examples of their microscopic basis. Solution of some basic problems for various materials as relevant in materials science, fluid dynamics, and structural analysis. Inherently nonlinear phenomena in continuum mechanics. Variational principles. L. Anand 2.073 Solid Mechanics: Plasticity and Inelastic Deformation
()
Prereq: 2.071 Units: 3-0-9 Lecture: MW2.30-4 (5-134)
Physical basis of plastic/inelastic deformation of solids; metals, polymers, granular/rock-like materials. Continuum constitutive models for small and large deformation of elastic-(visco)plastic solids. Analytical and numerical solution of selected boundary value problems. Applications to deformation processing of metals. L. Anand No textbook information available 2.074 Solid Mechanics: Elasticity
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Prereq: 2.002 and 18.03 Units: 3-0-9 Lecture: MW11-12.30 (1-150) Recitation: F11 (5-134) +final
Introduction to the theory and applications of nonlinear and linear elasticity. Strain, stress, and stress-strain relations. Several of the following topics: Spherically and cylindrically symmetric problems. Anisotropic material behavior. Piezoelectric materials. Effective properties of composites. Structural mechanics of beams and plates. Energy methods for structures. Two-dimensional problems. Stress concentration at cavities, concentrated loads, cracks, and dislocations. Variational methods and their applications; introduction to the finite element method. Introduction to wave propagation. R. Abeyaratne No textbook information available 2.075 Mechanics of Soft Materials
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Prereq: None Units: 3-0-9 Lecture: MW11-12.30 (1-371)
Covers a number of fundamental topics in the emerging field of soft and active materials, including polymer mechanics and physics, poroelasticity, viscoelasticity, and mechanics of electro-magneto-active and other responsive polymers. Lectures, recitations, and experiments elucidate the basic mechanical and thermodynamic principles underlying soft and active materials. Develops an understanding of the fundamental mechanisms for designing soft materials that possess extraordinary properties, such as stretchable, tough, strong, resilient, adhesive and responsive to external stimuli, from molecular to bulk scales. X. Zhao Textbooks (Fall 2024) 2.076[J] Mechanics of Heterogeneous Materials
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(Same subject as 16.223[J]) Prereq: 2.002, 3.032, 16.20, or permission of instructor Units: 3-0-9
Mechanical behavior of heterogeneous materials such as thin-film microelectro- mechanical systems (MEMS) materials and advanced filamentary composites, with particular emphasis on laminated structural configurations. Anisotropic and crystallographic elasticity formulations. Structure, properties and mechanics of constituents such as films, substrates, active materials, fibers, and matrices including nano- and micro-scale constituents. Effective properties from constituent properties. Classical laminated plate theory for modeling structural behavior including extrinsic and intrinsic strains and stresses such as environmental effects. Introduction to buckling of plates and nonlinear (deformations) plate theory. Other issues in modeling heterogeneous materials such as fracture/failure of laminated structures. B. L. Wardle, S-G. Kim 2.077 Solid Mechanics: Coupled Theories
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Prereq: 2.072 Units: 3-0-9
Complex problems in solid mechanics for a wide range of applications require a knowledge of the foundational balance laws of mechanics, thermodynamics, and electrodynamics of continua, together with a knowledge of the structure and properties of the materials which are provided by particular constitutive models for the so-called smart-materials, and the materials used in the many applications that involve thermo-, chemo-, electro- and/or magneto-mechanical coupling. Reviews the basic balance laws and the constitutive equations of the classical coupled theories of thermoelasticity and poroelasticity, and provides an introduction to the nonlinear theories of electroelasticity and magnetoelasticity. Examines the governing coupled partial differential equations and suitable boundary conditions. Discusses numerical solutions of the partial differential equations. Staff 2.080[J] Structural Mechanics
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(Same subject as 1.573[J]) Prereq: 2.002 Units: 4-0-8 Lecture: MW2.30-4 (2-105) Recitation: F9 (5-217)
Applies solid mechanics fundamentals to the analysis of marine, civil, and mechanical structures. Continuum concepts of stress, deformation, constitutive response and boundary conditions are reviewed in selected examples. The principle of virtual work guides mechanics modeling of slender structural components (e.g., beams; shafts; cables, frames; plates; shells), leading to appropriate simplifying assumptions. Introduction to elastic stability. Material limits to stress in design. Variational methods for computational structural mechanics analysis. D. Parks No required or recommended textbooks 2.081[J] Plates and Shells: Static and Dynamic Analysis
()
(Same subject as 16.230[J]) Prereq: 2.071, 2.080, or permission of instructor Units: 3-1-8
Stress-strain relations for plate and shell elements. Differential equations of equilibrium. Energy methods and approximate solutions. Bending and buckling of rectangular plates. Post-buckling and ultimate strength of cold formed sections and typical stiffened panels used in aerospace, civil, and mechanical engineering; offshore technology; and ship building. Geometry of curved surfaces. General theory of elastic, axisymmetric shells and their equilibrium equations. Buckling, crushing and bending strength of cylindrical shells with applications. Propagation of 1-D elastic waves in rods, geometrical and material dispersion. Plane, Rayleigh surface, and 3-D waves. 1-D plastic waves. Response of plates and shells to high-intensity loads. Dynamic plasticity and fracture. Application to crashworthiness and impact loading of structures. W. M. van Rees 2.082 Ship Structural Analysis and Design
(); second half of term
Prereq: 2.081 and 2.701 Units: 3-0-3
Design application of analysis developed in 2.081J. Ship longitudinal strength and hull primary stresses. Ship structural design concepts. Design limit states including plate bending, column and panel buckling, panel ultimate strength, and plastic analysis. Matrix stiffness, and introduction to finite element analysis. Computer projects on the structural design of a midship module. Staff 2.083[J] Topology Optimization of Structures
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| | | 2.000-2.199 | | | 2.20-2.7999 | | | 2.80-2.999 plus Thesis, UROP, UPOP | | | |
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