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Problem 6-53

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Date Posted: 7/16/2008 10:45:54 AM  Status: Closed
Problem 6-53
Course Textbook Chapter Problem
Classical Mechanics Vector Mechanics for Engineers: Statics (8th) by Johnston, Eisenberg, Beer 6 53P
Question Details:
Hello,
 
Can I get some step-by-step solution help with the following problem please?  -Thanks
 
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Date Posted: 7/16/2008 10:43:57 PM  Status: Live
Asker's Rating: Lifesaver   
Response:
Consider the free body diagram of the entire truss and the section as shown
                  
By applying equilibrium conditions,
ΣFx = 0
=> Ax + 4 - 4 = 0
=> Ax = 0
 
ΣFy = 0
=> Ay + Ny = 0----(1)
 
Consider summation of moments about joint N
ΣMN = 0
=> Ay*72 = 0
=> Ay = 0, Ny = 0(from 1)
Consider the left part of the section
                                  
ΣFx = 0
=> GI + 4 = 0
=> GI = 4 kips (C)
 
Apply summation of moments about G
ΣMG = 0
=> 4*27 - HI cos36.86 * 9 = 0
=> HI = 15 kips (T)
 
Draw the free body diagram of joint J
ΣFx = 0
=> IK cos36.86 - GI - HI cos36.86 = 0
=> IK = 10 kips
ΣFy = 0
=> HI sin36.86 - IJ - IK sin36.86 = 0
=> IJ = 3 kips (T)
 



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