Solving Static Structure: Find Forces in B & C

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The discussion revolves around calculating the forces in members B and C of a given static structure. The initial equations set up for moments and forces do not yield the expected results of B=3F/10 and C=6F/10. A participant points out that point C appears to be free floating, suggesting that it does not develop any force. This insight may clarify the discrepancies in the calculations. Proper posting of homework problems in designated sections is also emphasized.
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The attachment shows a structure. I'm supposed to calculate the forces in the members B and C. I try the following:

<br /> \sum M _A = BL + 2CL - F \cdot {3 \over 2}L = 0<br />

<br /> \sum {F_Y = B + C - F = 0} <br />

Solving for B and C from this doesn't yield the correct answer, which is B=3F/10 and C=6F/10.

Can someone explain?
 

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Please post homework problems in the homework help section.

As for your problem, it looks as if point C is free floating. So there is no force developed at C. Hope that solves your worries.
 
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