How to Calculate Reactions and Forces in a Pin Jointed Frame?

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SUMMARY

The discussion focuses on calculating reactions and forces in a pin-jointed frame, specifically at points A and E. Participants emphasize the importance of applying the three equations of static equilibrium: the sum of vertical forces equals zero, the sum of horizontal forces equals zero, and the sum of moments equals zero. The user initially calculated a vertical reaction at point A as 10 but struggled to determine the other reactions and member forces. The conversation highlights the necessity of systematically applying equilibrium equations to solve for unknowns in two-dimensional static systems.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Familiarity with trigonometric functions (sine and cosine)
  • Knowledge of forces in two-dimensional structures
  • Ability to interpret structural diagrams
NEXT STEPS
  • Study the application of the three equations of static equilibrium in detail
  • Learn about calculating forces in truss structures using methods like the method of joints
  • Explore the use of free body diagrams for analyzing forces in structures
  • Investigate the role of reaction forces in static analysis of pin-jointed frames
USEFUL FOR

Engineering students, structural analysts, and anyone involved in the design and analysis of pin-jointed frames will benefit from this discussion.

warrio1010
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Homework Statement
[PLAIN]http://img847.imageshack.us/img847/1704/pinjointed.png
Calculate the reactions at A and E and the forces in all members.

The attempt at a solution

At a loss regarding the reactions, tried equating vertical and horizontal.
As for the members I guess its just a case of working from the reaction values and using sin and cos but also can't get my head around this.

Any methods/pushes in the right direction much appreciated.
 
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In 2-dimensional work, as this one is, how many equations are there of static equilibrium? And what are they?
 
sum of v=0 and sum of horiz=0
?
 
Don't forget the sum of the moments = 0.
 
I have VA as 10 but can't work out the other two, the equation would suggest that HE-HA+5=0 which leaves two unknowns so I'm stuck with that.
 
You are forgetting about the 3rd equation of equilibrium alluded to in the prior responses.
 

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