Statics struss tension/compression

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In analyzing the tension and compression in a statics problem, it is important to correctly identify the forces acting on each member based on the free body diagram (FBD). Members DG and DE are in tension while HG is in compression, which can be determined by the direction of the forces and their effects on moments. A systematic approach is preferred over guessing; calculating support reactions first can clarify the forces involved. Forces directed towards a joint indicate compression, while those pulling away indicate tension. Accurate assumptions aligned with Newton's third law are crucial to avoid confusion with sign conventions in calculations.
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Why is DG, DE in tension while HG is in compression according to the FBD? How did the book determine this? Do you just randomly guess tension/compression and then do the calculations and see if you get a positive/negative number? Is there a set procedure? Thanks.
 

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It's ok to make assumptions, consistent with Newtons 3rd law, but limit the number of assumptions you make or else the plus and minus sign will devour you. I notice that the solution shows Ax pointing right, when obviously it must point left, so don't assume when you don't have to. Always calculate support reactions first, numerically, that's a big help. When you look at the right side cut section, since R points up, producing ccw moment about G, then Fde must point inward toward the joint, to produce a cw moment about G . Fde is compression by the way, since it points toward joint . Forces pulling away from joint are tensile.
 
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