What Defines 'n' in the Equation r = n+3?

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Discussion Overview

The discussion revolves around the interpretation of the variable 'n' in the equation r = n + 3, specifically in the context of beam determinacy. Participants are trying to clarify whether 'n' represents the number of hinges or the number of joints in a structural system.

Discussion Character

  • Homework-related
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant notes that some sources define 'n' as the number of hinges, while others define it as the number of joints, leading to confusion.
  • Another participant attempts to clarify the example by stating that if 'n' is the number of joints, then there is only one hinge present.
  • A participant explains that in the context of beam determinacy, 'r' is the number of possible reactions at external supports, while 'n' is the number of internal hinges or joints connecting members.
  • There is a reiteration of the explanation regarding the supports and their reactions, with a specific example indicating that if there are no internal hinges, then 'n' would be zero.
  • One participant questions the definition of 'n' again, emphasizing that there is only one member involved and thus suggesting 'n' should be zero.
  • A later reply confirms the assertion that 'n' equals zero in the given context.

Areas of Agreement / Disagreement

Participants express differing views on whether 'n' should be defined as hinges or joints, and while there is some agreement on the calculation of 'n' being zero in the specific example discussed, the overall interpretation remains contested.

Contextual Notes

There are limitations in the definitions provided, as the terms "hinges" and "joints" may depend on specific contexts or interpretations within structural analysis, which are not fully resolved in the discussion.

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Homework Statement


from the equation r = n+3 , some notes stated n = number of hinges , while some book stated n as number of joints ...Which is true ?

Homework Equations

The Attempt at a Solution


taking the example 3.1 , if it's number of joints , then there are 1 hinge (pin) , right ? I don't really understand the notes on the internet ... What does joints in beam mean ?
 

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your tiny attachment is unreadable.
 
phinds said:
your tiny attachment is unreadable.
phinds said:
your tiny attachment is unreadable.
 

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phinds said:
your tiny attachment is unreadable.
i checked it an open the uploaded image ...There's no problem . Perhaps you can refresh your browser and try ?
http://imgur.com/a/IDi0d
 
in this equation for beam determinancy, r is the number of possible force and moment reactions at the external supports, and n is the number of internal hinges (pins, or joints) that sometimes join 2 members together.

In the example, the left support can support forces in 2 directions, and the other support just a vertical force, so r is 3 , and since there are no internal hinges in between supports, n is 0.

These equations tend to cause confusion so don't dwell on them too much.
 
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PhanthomJay said:
in this equation for beam determinancy, r is the number of possible force and moment reactions at the external supports, and n is the number of internal hinges (pins, or joints) that sometimes join 2 members together.

In the example, the left support can support forces in 2 directions, and the other support just a vertical force, so r is 3 , and since there are no internal hinges in between supports, n is 0.

These equations tend to cause confusion so don't dwell on them too much.
although there's pin and roller , but there's only 1 member ( not joining 2 members together) , so n = 0 ?
 
chetzread said:
although there's pin and roller , but there's only 1 member ( not joining 2 members together) , so n = 0 ?
Yes
 
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