## spndsh 3 years ago Static Equilibrium Problem

1. spndsh

Two forces of mag Ta=8 kips and Tb=15kips are applied as shown to a welded connection. determine the magnitudes of the forces Tc, and Td.

2. vf321

We need a picture...

3. spndsh

4. vf321

Well do you know what static equilibrium means for $$\Sigma \vec F$$?

5. spndsh

=0

6. vf321

yes. Now define the axes such that x is horizontal and y is vertical. What is Ta, Tb in component form?

7. spndsh

ta = (-8, 0) tb=(15,0)

8. vf321

yes. Now, if the magnitude of $$\vec T_d=D$$, then what are the components for Td? Also, let the mag of Tc = C. What are the comps for Tc?

9. spndsh

Td = (dcos140, dsin140) tc =(ccos270, csin270)

10. vf321

close. $$\vec T_d= D(\cos40, -\sin40)$$ and you're right about C. Can you simplify cos 270 and sin 270 though?

11. spndsh

c(0, -1)

12. vf321

Okay. Then if I have vectors Ta, Tb, Tc, Td, each with x and y components, do you agree that$T_{ax}+T_{bx}+T_{cx}+T_{dx}=\Sigma F_x$ and $T_{ay}+T_{by}+T_{cy}+T_{dy}=\Sigma \vec F_y$? Because if you do, you can replace the known values and have 2 equations, 2 variables, which is solvable.

13. spndsh

thanks!