Mechanics: Finding forces given loading conditions

[mbd23]

Homework Statement

Determine the forces acting on members A, B, & C

The coordinates for pins 1 and 4 are:
1: (-32",24")
4: (-18",28")
There is a 1000lb force down on the bottom of the bucket as shown in the diagram. There are also angles of 40°, 18°, and 78° as shown in the diagram attached.

Homework Equations

I know the forces and moments need to be summed to determine the forces acting on the three members (A, B, and C) but I can't figure out how to do it right.

The Attempt at a Solution

My attempt as solving this problem is attached as a pdf file.

 

[KataKoniK]

Please take a look and let me know if you see any errors or have any suggestions.

I have reviewed your solution and have a few suggestions for improvement. Firstly, when summing the forces in the x and y directions, it is important to include the components of the angled forces. In your solution, you only included the vertical and horizontal components of the angled force, but you also need to consider the diagonal components. This can be done by using trigonometric functions to find the x and y components of the angled forces.

Secondly, when calculating the moments, it is important to use the correct distance from the pin to the point where the force is applied. In your solution, you used the distance between pins 1 and 4, but the force is actually applied at the bottom of the bucket, which is a different distance from the pins. This can be found using the Pythagorean theorem.

Lastly, I would suggest checking your units throughout the solution to ensure they are consistent. For example, in your calculation for the moment at point C, you used feet for the distance and pounds for the force, which resulted in a unit of foot-pounds instead of pound-feet.

I hope these suggestions help you to improve your solution. Let me know if you have any further questions. Good luck!