Ch9DeflectionofBeams

# Ch9DeflectionofBeams - Chapter 9 Deflection of Beams 9.1...

This preview shows pages 1–10. Sign up to view the full content.

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

View Full Document

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

View Full Document

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

View Full Document

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

View Full Document

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: Chapter 9 Deflection of Beams 9.1 Introduction -- Concerning about the “deflection” of a beam-- Special interest: the maximum deflection-- Design: to meet design criteria 1 M EI ρ = 1 ( ) M x EI ρ = 2 2 ( ) d y M x d x EI = 9.1 Introduction (4.21) M = bending moment E = modulus I = moment of inertia If M is not a constant, i.e. M=M(x) (9.1) or-- will be explained in Sec. 9.3 dy dx θ = 2 2 ( ) d y M x d x EI = y = y(x) 1 Px EI ρ = - (9.1) (9.2) 9.2 Deformation of a Beam under Transverse Loading 1 ( ) M x EI ρ = Since M(x) = -Px Example: a beam subjected to transverse loads Moment Diagram and the Deformed Configuration: M max occurs at C In addition to M(x) and 1/ ρ , we need further information on: 1. Slope at various locations 2. Max deflection of a beam 3. Elastic curve : y = y(x) 9.3 Equation of the Elastic Curve 1 ( ) x dy EI M x dx C dx = + ∫ 2 2 ( ) d y M x d x EI = (9.4) (9.5) 2 2 3 2 2 1 [1 ( ) ] d y d x dy dx ρ = + 2 2 1 d y d x ρ = 2 2 ( ) d y M x d x EI = 9.3 Equation of the Elastic Curve9....
View Full Document

{[ snackBarMessage ]}

### Page1 / 32

Ch9DeflectionofBeams - Chapter 9 Deflection of Beams 9.1...

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online