lec9 (1)

# lec9 (1) - forces and section moments 3 Equilibrium along...

This preview shows pages 1–5. Sign up to view the full content.

1.050 Engineering Mechanics II. Stresses and Strength Examples: Beam Statistics

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Program 9 th Lecture 1-050 CONTENT I. Dimensional Analysis: II. Stresses & Strength 2. Stresses and Equilibrium 1. Discrete Model 2. Continuum Model 3. Beam Model 3. Strength Models III. Deformation and Strain 4. How Strain Gages work? IV. Elasticity 5. Elastic Model 6. Variational Methods in Elasticity V. How Things Fail? And How to avoid it. TODAY: 1. Review: Beam Stress Model 2. Formulation of a Beam Boundary Value Problem 3. Statically Determined vs. Statically Indetermined Beam Structures 4. Closure: Stresses & Equilibrium Goal: Appreciate Force-Moment Beam Model for solving beam problems
Review: Beam Model 1. Scales in Structural Mechanics 2. Reduction Formulas : (from stresses to section

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: forces and section moments) 3. Equilibrium : along beam axis, differential equilibrium of forces and moments 1/ 3 O ( d Ω ) << ( h , b ) << l REV Section Beam Dimension length F S = ∫ σ ⋅ e x dS S M S = ∫ x × ( σ ⋅ e x ) dS S ext d F S + f = dx d M S + e x × F S = dx Formulation of a Beam Boundary Value Problem • Example • Force and Moment Boundary Conditions • Sum of all forces and Moments along x is zero x • Differential Equilibrium of – Section forces – Section moments z ext e gS f ρ − = R y z Stresses & Equilibrium Discrete System Continuum System Beam System Elementary System Internal “Stresses” Boundary Condition Continuity Condition Diff. Force Equilibrium Diff. Moment Equilibrium...
View Full Document

{[ snackBarMessage ]}

### Page1 / 5

lec9 (1) - forces and section moments 3 Equilibrium along...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online