Structure analysis ii
Download
1 / 22

Structure Analysis II - PowerPoint PPT Presentation


  • 96 Views
  • Uploaded on
  • Presentation posted in: General

Structure Analysis II. Analysis of statically Indeterminate structures by the Force Method Part 1. Review Conjugate beam method. Conjugate-Beam Supports. Review Example 1. Find the deflection at Point B. Review Example 2. Find the deflection at Point C. Determinacy & Stability.

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

Download Presentation

Structure Analysis II

An Image/Link below is provided (as is) to download presentation

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


Structure Analysis II


Analysis of statically Indeterminate structures by the Force Method

Part 1


Review Conjugate beam

method


Conjugate-Beam Supports


Review Example 1

Find the deflection at Point B


Review Example 2

Find the deflection at Point C


Determinacy & Stability

Determinacy: when all the forces in structure can be determined from equilibrium equation , the structure is referred to as statically determinate. Structure having more unknown forces than available equilibrium equations called statically indeterminate

If n is number of structure parts & r is number of unknown forces:

r = 3n, statically determinate

r > 3n, statically indeterminate


Force Method: General Procedure

  • Determine the number of redundant reactions

  • Remove enough redundants to form a determinate structure

  • Calculate the displacements that the known loads cause in the determinate structure

  • Calculate displacements at the same points in the determinate structure due to the redundants

  • The sum of the displacements calculated in steps (3) and (4) must be equal to the displacements at the actual indeterminate structure

  • Use equilibrium to determine the remaining reactions


Note 1

Compatibility Equation

+


Note 2

Compatibility Equation

+


Note 3


Force Method of Analysis: Beams

Example 1

Determine the reaction at the roller support B of the beam shown


Solution

Compatibility Equation


Conjugate beam

method


Example 2

Determine the reaction at the roller support B of the beam shown, the support B settles 1.5 in


Compatibility Equation


Example 3

Determine the moment at fixed wall for the beam shown


Solution

Conjugate beam method


ad
  • Login