What am I doing wrong on this Statics Problem?

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SUMMARY

The discussion centers on a statics problem related to Mechanics of Materials, specifically the computation of six component forces about joints. The user correctly calculates C_x as 40 by summing moments about point A, using the known value of B_y as 30. However, the user encounters an inconsistency when summing moments about point B, leading to an incorrect value for A_y. The key issue identified is the assumption that C_y is zero, which invalidates the calculations.

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  • Understanding of basic statics principles, including force and moment equations.
  • Familiarity with joint analysis in Mechanics of Materials.
  • Knowledge of equilibrium conditions for structures.
  • Ability to interpret and analyze free-body diagrams.
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  • Review the concept of free-body diagrams in statics.
  • Study the method of joints for analyzing forces in trusses.
  • Learn about the implications of assuming zero forces in statics problems.
  • Practice additional statics problems involving moment calculations.
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Students enrolled in Mechanics of Materials, engineering students struggling with statics concepts, and anyone looking to improve their problem-solving skills in structural analysis.

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Homework Statement


I signed up for Mechanics of Materials, but it turns out my statics is very rusty. Here is the problem, we are to compute the six component forces about the joints:

twY08aU.png


Homework Equations


Force and moment equations are the name of the game.

The Attempt at a Solution


[/B]
My problem arises thusly:

I sum the moment about A. I place: C_x(.6)+(B_y).8=0. We know from the diagram that b_yu = 30. Simply solve this equation, and the result is C_x = 40. This is correct, according to the book.

Now, I go to sum the moments about B, C_x(.6)+A_y(.8)=0. This yeilds A_y =30. According to the book A_u=0. What is invalid about my approach?

Thanks a ton.
 
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Your equation assumes C_y is zero.

Chet
 

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