Solving Static Structure: Find Forces in B & C

[TSN79]

The attachment shows a structure. I'm supposed to calculate the forces in the members B and C. I try the following:

$$\sum M _A = BL + 2CL - F \cdot {3 \over 2}L = 0$$

$$\sum {F_Y = B + C - F = 0}$$

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?

 

[Cyrus]

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.

 

[quicknote]

It appears that you have correctly set up the equations for solving the forces in members B and C. However, there may be an error in your calculations or assumptions that is leading to the incorrect answer. It's important to double check your work and make sure all of your equations are accurately representing the forces in the structure. It's also possible that there are other external forces or constraints that are affecting the solution. I recommend reviewing your approach and seeking assistance from a colleague or instructor if necessary. It's important to carefully analyze and verify your results in order to ensure accuracy in scientific calculations.