Why is Only One Reaction Shown at the Pinned Support?

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Discussion Overview

The discussion revolves around the analysis of a pinned support in a structural system, specifically addressing the reactions at the support and the implications for vertical and horizontal displacements at joint C. The context includes homework-related problem-solving in mechanics of materials.

Discussion Character

  • Homework-related
  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant questions why only one reaction (horizontal) is shown at the pinned support A, suggesting that there should be two reactions.
  • Another participant proposes that if there is a vertical reaction, it can be analyzed through force and moment sums.
  • Several participants seek clarification on the implications of assuming a vertical reaction and request further explanation.
  • One participant suggests determining the horizontal force at A by taking moments about point D, implying that this could lead to insights about the vertical reaction at A.
  • Another participant states that the vertical reaction at A creates a clockwise moment about D, indicating a relationship between the forces and moments in the system.
  • There is a suggestion to write equations to find the horizontal force at A and subsequently the vertical force through moment analysis.
  • One participant calculates a specific moment equation and questions the resulting vertical reaction, leading to a discussion about including all forces in the moment equation.
  • A later reply confirms a calculation that suggests the vertical reaction at A could be zero, but this is part of an ongoing discussion.

Areas of Agreement / Disagreement

Participants express differing views on the necessity and implications of vertical and horizontal reactions at the pinned support. The discussion remains unresolved, with multiple competing interpretations of the reactions and their effects on the system.

Contextual Notes

There are limitations in the discussion regarding the assumptions made about the reactions at the support, the dependence on specific definitions of forces, and the unresolved nature of the moment equations presented.

fonseh
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Homework Statement


The modulus of elasticity of each member is E = 20kN/(mm^2) and the cross section of each member is 1000(mm^2) , except member EB and EC is 40(mm^2) , determine :
a) The vertical displacement at joint C
b) The horizontal dispalcemnet at joint C

at A , it's a pinned support , so there must be 2 reactions , right ?

Homework Equations

The Attempt at a Solution


Why the author showed one reaction( horizontal reaction) only ? Is it wrong ? [/B]
 

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fonseh said:
Why the author showed one reaction( horizontal reaction) only ? Is it wrong ?
Suppose there is a vertical reaction. What do the force and moment sums tell you?
 
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haruspex said:
Suppose there is a vertical reaction. What do the force and moment sums tell you?
what do you mean ? Can you please explain further?
 
fonseh said:
what do you mean ? Can you please explain further?
You can determine the horizontal force at A easily. Take moments about D. What do you deduce about the vertical reaction at A?
 
haruspex said:
Suppose there is a vertical reaction. What do the force and moment sums tell you?
what do you mean ? Can you please explain further?
 
haruspex said:
Suppose there is a vertical reaction. What do the force and moment sums tell you?
what do you mean ? Can you please explain further?
 
haruspex said:
Suppose there is a vertical reaction. What do the force and moment sums tell you?
what do you mean ? Can you please explain further?
 
haruspex said:
You can determine the horizontal force at A easily. Take moments about D. What do you deduce about the vertical reaction at A?
The vertical reaction at A create clockwise moment about D
 
fonseh said:
The vertical reaction at A create clockwise moment about D
Yes, but write the equations. First, find the horizontal force at A. Then take moments about D to find the vertical force.
 
  • #10
haruspex said:
Yes, but write the equations. First, find the horizontal force at A. Then take moments about D to find the vertical force.
HA = 20kN to the left . moment about D = VA(2) -20(1) = 0 , VA = 10kN(upwards) , is it correct ?
 
  • #11
fonseh said:
moment about D = VA(2) -20(1) = 0
The equation must include moments due to all the forces, including those at B.
 
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  • #12
haruspex said:
The equation must include moments due to all the forces, including those at B.
moment about D = -20(1) +VA(2) -20(1)+20(2) = 0 , Thus VA = 0 ?
 
  • #13
fonseh said:
moment about D = -20(1) +VA(2) -20(1)+20(2) = 0 , Thus VA = 0 ?
Right.
 
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