Question

Static Equilibrium Problem

Answer 1

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.

Answer 2

We need a picture...

Answer 3

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

Answer 4

=0

Answer 5

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

Answer 6

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

Answer 7

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?

Answer 8

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

Answer 9

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

Answer 10

c(0, -1)

Answer 11

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.

Answer 12

thanks!