ECIV 320 Structural Analysis I

1 / 13

# ECIV 320 Structural Analysis I - PowerPoint PPT Presentation

ECIV 320 Structural Analysis I. Deflections. Last Time Deflection Diagrams &amp; Elastic Curve. ASSUMPTION Linear Elastic Material Response A structure subjected to a load will return to its original undeformed position after load is removed. OBJECTIVE

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'ECIV 320 Structural Analysis I' - Antony

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
Last TimeDeflection Diagrams & Elastic Curve

ASSUMPTION

Linear Elastic Material Response

OBJECTIVE

Calculate Slope and Deflection due to Bending at any point on a Beam

METHODS

• Double Integration Method
• Moment Area Theorems
• Conjugate Beam
Last Time - Double Integration Method

Relate Moments to Deflections

Integration Constants

Use Boundary Conditions to Evaluate Integration Constants

Conjugate Beam Method

Developed by H. Muller Breslau - 1865

Use to find slopes and deflection due to

bending of beams

Method is based on

Principles of Statics Only

Conjugate Beam

Beam Theory

Conjugate Beam

Beam Theory

Let

Conjugate Beam

A “fictitious” beam of the same length as the real beam loaded with the real beam’s M/EI diagram…

qReal Beam = VConjugate Beam

uReal Beam = MConjugate Beam

However...

Conjugate Beam Supports

Shear and Moment at Supports of Conjugate Beam should

account for the corresponding slope and deflection of real

beam at its supports

Conjugate Beam Supports

Shear and Moment at Supports of Conjugate Beam should

account for the corresponding slope and deflection of real

beam at its supports

Conjugate Beam Supports

Shear and Moment at Supports of Conjugate Beam should

account for the corresponding slope and deflection of real

beam at its supports