How Do You Calculate Forces in Truss Members IK, JL, and JM?

AI Thread Summary
To calculate the forces in truss members IK, JL, and JM, a free body diagram of the entire truss is essential, leading to three unknowns. The sum of vertical forces and moments about point A yields equations that help determine the vertical reaction forces. After calculating the vertical force (V_y) as 4.5 kips, the next step involves isolating sections of the truss to apply the method of joints for solving member forces. The discussion highlights the need to address the roller support and suggests cutting sections through the truss to simplify the problem. Ultimately, the approach requires careful analysis of angles and forces to solve for the unknowns effectively.
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[PLEASE HELP!] Forces in members of a truss

Homework Statement



A barrel vault truss is loaded as shown. Knowing that the length of the bottom chords DF, FH, ..., and QS is 3 ft, determine the force is members IK, JL, and JM.

http://img68.imageshack.us/img68/4817/fyjfhjfgjhfghgx8.jpg

Homework Equations



Sum of y-components
\sum F_{x} = 0

x-components
\sum F_{y} = 0

Moment
\sum M = 0

The Attempt at a Solution



First I did a free body diagram of the entire truss, which gave me three unknowns tosolve for first.

http://img392.imageshack.us/img392/9493/fyjfhjfgjhfgh1ur3.jpg

\sum F_{x} = 0:
A_{x} = 0

\sum F_{y} = 0:
A_{x} = (1+1.5+1.5+1+1.5+1.5+1) = A_{y} + V_{y}
9 kips = A_{y} + V_{y} ---- (1)

Solving for Moment about A
\sum M_{a} = 0:
V_{y} (18) = (1.5)(3) + (1.5)(6) + (1)(9) + (1.5)(12) + (1.5)(15) + (1)(18) =
V_{y} = 4.5 kips ----- (2)

Then plugging equation (2) into equation (1) I get
A_{y} = 4.5

Then I get stuck. I know I need to pass a section through the truss so I can get two portions, with each including the desired members I am solving for. Then I just draw a FBD and solve for no more than three unknowns.
 
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You can get IK pretty quick using the method of joints. Beyond that, I don't like that roller support at the bottom corner. Nonetheless, try then cutting a section from IK through JM.
 
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have you considered this.. do you know the reference angle?(i know it, i think you know it too)
Once you figure out IK, and you cut through as PhanthomJay says, you now have 3 unknowns and 3 equations..in other words, solvable.
 

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help... anyone can help to settle this problem?
 
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