# zm2 - Page 1 Lecture M2 So what Engineering Science methods...

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Page 1 Lecture M2 So what Engineering Science methods do we use to do Structural Engineering? We will use: Solid Mechanics (mainly Unified) and Structural Mechanics Solid Mechanics is a branch of Newtonian Mechanics dealing with behavior of solids. Mechanics: forces, masses and motion ---Review 8:01 in U lectures Newton's Law: F d dt mv = ( ) (F = ma) In Unified we will deal with structures in static equilibrium, Σ F = 0, but in general in aerospace engineering we often have to deal with structural dynamics (coupling of structural response and dynamics, particularly vibrations) and aeroelasticity (coupling of aerodynamic loading with structural response, also particular with regard to vibrations) What is a solid?

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Page 2 During this term we will deal with: "T HREE (G REAT ) P RINCIPLES OF S OLID M ECHANICS " Consider a body acted on by a force, restrained by three springs (forces in spring = k δ ) Hooke's Law 3 Principles: 1. Equilibrium: Forces must balance 2. Compatibility of Displacements the springs remain connected - displacements at P must match. 3. Constitutive Relations (Force - deflection) How much force is needed to cause a certain deflection (or vice versa). e.g. spring Fk = We will come back to all of these f ormally in the coming weeks.
Page 3 " All About Equilibrium"

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## This note was uploaded on 01/28/2012 for the course AERO 16.01 taught by Professor Markdrela during the Fall '05 term at MIT.

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zm2 - Page 1 Lecture M2 So what Engineering Science methods...

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