Determine the Forces in the Specified Members.

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SUMMARY

The discussion focuses on determining the forces in members BC, CF, and EF of a loaded truss using static equilibrium equations. The user attempted the method of sections but encountered difficulty calculating the distance CE. Key equations used include ƩM = 0, ƩFy = 0, and ƩFx = 0. A suggestion was made to apply trigonometry and geometry to find the vertical legs of triangles formed by the known length 'd' and angles to resolve the issue.

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  • Understanding of static equilibrium principles
  • Familiarity with the method of sections in truss analysis
  • Knowledge of trigonometric functions and geometry
  • Ability to apply the equations of equilibrium: ƩM = 0, ƩFy = 0, ƩFx = 0
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  • Learn how to apply the method of sections in truss analysis effectively
  • Study trigonometric relationships in right triangles for structural analysis
  • Explore advanced techniques for calculating forces in truss members
  • Review examples of static equilibrium problems in structural engineering
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Students and professionals in civil engineering, structural analysis, and mechanics who are involved in truss design and analysis.

Northbysouth
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Homework Statement


Determine the forces in members BC, CF, and EF of the loaded truss. Forces are positive if in tension, negative if in compression.

I have included an image


Homework Equations


ƩM = 0
ƩFy = 0
ƩFx = 0

The Attempt at a Solution


I'm a little stuck on this one.

I tried using method of sections, whereby I drew a line through the middle of lines BC, CF and EF and then focused on everything to the right of that line. What this gave me is a system with two L forces, one at E and another at D as well as the forces of the members BC, EF and CD.

From here I tried to take the moment about point C,

ƩMC = 0

0 = -L(d) + EFcos(17)

however I ran into difficulty because I couldn't figure out what the distance of CE is.

Help would be appreciated
 

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Northbysouth said:

Homework Statement


Determine the forces in members BC, CF, and EF of the loaded truss. Forces are positive if in tension, negative if in compression.

I have included an image


Homework Equations


ƩM = 0
ƩFy = 0
ƩFx = 0

The Attempt at a Solution


I'm a little stuck on this one.

I tried using method of sections, whereby I drew a line through the middle of lines BC, CF and EF and then focused on everything to the right of that line. What this gave me is a system with two L forces, one at E and another at D as well as the forces of the members BC, EF and CD.

From here I tried to take the moment about point C,

ƩMC = 0

0 = -L(d) + EFcos(17)(length of CE)[/color]

however I ran into difficulty because I couldn't figure out what the distance of CE is.

Help would be appreciated
It's just a bit of trig and geometry to find the distance CE. The length 'd' is known and a couple of the angles...find the vertical legs of triangles with side d and angle theta...draw a sketch...otherwise, your equation is good when you add your omission noted in red
 

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