Method of consistant deformations

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Discussion Overview

The discussion revolves around the analysis of an indeterminate structure using the method of consistent deformations. Participants are exploring the contributions of spring supports to the degree of indeterminacy in a frame structure subjected to external loads.

Discussion Character

  • Technical explanation, Debate/contested, Homework-related

Main Points Raised

  • One participant analyzes a frame with two spring supports and a fixed support, questioning whether each spring contributes only one degree of indeterminacy.
  • The springs are described as having different movement directions: one vertical and one horizontal, both attached to the same joint.
  • Participants discuss the units of stiffness for the horizontal and vertical springs, noting the differences in their dimensional analysis.
  • There is concern expressed about potentially overlooking additional degrees of indeterminacy in the analysis.
  • Another participant confirms the initial assessment of the degree of indeterminacy being equal to 2.
  • A request is made for a visual representation of the structure to aid in understanding the problem.

Areas of Agreement / Disagreement

Participants generally agree on the degree of indeterminacy being 2, but there is uncertainty regarding the contributions of the springs, and the discussion remains unresolved regarding the potential for additional redundancies.

Contextual Notes

The discussion lacks a visual representation of the structure, which may limit the clarity of the analysis. There are also unresolved aspects regarding the assumptions made about the contributions of the spring supports.

jmf322
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I am analyzing an indeterminate structure with a degree of indeterminacy of 2(i think).

It is a frame with two spring supports and a fixed support. (and external loadings). I am required to use method of consistent deformations.

My question is about the springs. I would like to verify they contribute only one degree of indeterminacy each. One is in the vertical(moves up and down) and the other is horizontal(moves left and right). They are attached to the same joint.

So I am assuming three primary structures: Externally loaded structure, redundant as a unit force in the vertical, and redundant as a unit force in the horizontal.

I've noticed that the horizontal-spring stiffness has units (Force*Length)/radians, and the vertical-spring stiffness has units Force/Length.

My main concern is there may be a greater degree of indeterminacy i am not taking into account? :confused: Do these springs contribute more redundants than I am assuming? :confused: I hope I have been specific enough without a picture of the structure.
 
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According to what you've described, the system should have a degree of indeterminacy equal 2, as you said.
 
I would like to see a picture anyway.
 
radou - thanks for the quick reply, i am attempting the problem with three primary structures and two compatability equations(two degrees of indeterminacy)

cyclovenom - i'll post a picture shortly.
 

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