How to Find the Unknown Forces – Static Equilibrium – Equilibrium Problem 5

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In this video, we find the unknown forces shown due to the applied force on the system. This problem is solved using static equilibrium and the property that all forces, internal and external, must cancel and counteract each other so all forces sum to be zero.

Problem statement:
Two forces of magnitude Ta = 8 kips and Tb = 15 kips are applied as shown to a welded connection. Knowing that the connection is in equilibrium, determine the magnitudes of the forces Tc and Td.

Problem walkthrough steps:
- Draw a free body diagram
- Look at each force separately, known and unknown
- Find or determine the x and y directional forces for each of the known and unknown forces in variable form
- Sum all the x directional forces together. Then sum all the y directional forces together
- Solve for the unknown forces. Can use multiple processes to solve for 2 equations 2 unknowns (if this happens)
- Check answers

Topics of this problem include:
Free Body Diagram (FBD)
Solve a statics equilibrium problem with multiple unknowns
Determining equilibrium
2 unknown forces
2 unknown vectors
X and Y Components
Summation of forces in the x and y directions
Vector Addition
Force combination
Vector combination
Vector Mechanics
Forces in right triangles
Orthogonal vectors
Determining unknown forces
Summing forces to be zero
Crane bracket
Beer Johnston problem 2.37

Engineering statics
2D equilibrium problem 5
College level
Professor Engineer
Professor_Engineer

[Professor_Engineer]

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[lilfelicia]

thank you for the video! great explanations!