Static 2d body, force in member unknown

[togo]

Homework Statement

Find stress or force in member AE

Homework Equations

torque = force x distance

The Attempt at a Solution

Solution out of book is 142 kN

Attempts:
Mb = -(200kN)(2.5m) + (.895AE)(5) + 510
= 111 Kn

Mc = -(3m)(170kN) + (.895AE)(5)
= 114 kN

Md = (-80)(2.5) - (100kN)(7.5m) + (.895AE)(2.5)
= 424.60 kN

Solving for force at F and G, Fy = 80 kN and Gy = 130 kN

where did I go wrong?

 

[TaxOnFear]

There are still reaction forces at F and G that you havn't took into consideration.

 

[togo]

For B and C the forces at G and F are directly in line therefore they cancel out. In my calculation for D, I did take F into account

 

[togo]

Any ideas

 

[asteriatic]

I would like to point out that the solution provided in the book may not necessarily be the correct or only solution. It is always important to check your calculations and assumptions to ensure accuracy. As for your attempts, it seems like you may have made a mistake in your calculations for Mb and Md. Additionally, it is important to consider all the forces acting on the member AE, including any external loads or support reactions. It may be helpful to draw a free body diagram to better understand the forces at play. I suggest double-checking your calculations and considering all forces for a more accurate solution.