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spndsh Group Title

Static Equilibrium Problem

  • one year ago
  • one year ago

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  1. spndsh Group Title
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    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.

    • one year ago
  2. vf321 Group Title
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    We need a picture...

    • one year ago
  3. spndsh Group Title
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    • one year ago
  4. vf321 Group Title
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    Well do you know what static equilibrium means for \(\Sigma \vec F\)?

    • one year ago
  5. spndsh Group Title
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    =0

    • one year ago
  6. vf321 Group Title
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    yes. Now define the axes such that x is horizontal and y is vertical. What is Ta, Tb in component form?

    • one year ago
  7. spndsh Group Title
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    ta = (-8, 0) tb=(15,0)

    • one year ago
  8. vf321 Group Title
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    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?

    • one year ago
  9. spndsh Group Title
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    Td = (dcos140, dsin140) tc =(ccos270, csin270)

    • one year ago
  10. vf321 Group Title
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    close. \(\vec T_d= D(\cos40, -\sin40)\) and you're right about C. Can you simplify cos 270 and sin 270 though?

    • one year ago
  11. spndsh Group Title
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    c(0, -1)

    • one year ago
  12. vf321 Group Title
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    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.

    • one year ago
  13. spndsh Group Title
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    thanks!

    • one year ago
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