Final answer:
To determine the force in members ED, EH, and GH, one must use the conditions of equilibrium and create a free-body diagram. Equations corresponding to equilibrium of forces and torques help solve for unknown forces within the system, which may include assumptions based on the problem context.
Step-by-step explanation:
To determine the force in members ED, EH, and GH, it is essential to apply the principles of engineering statics, particularly the conditions of equilibrium. A free-body diagram would be used to visually represent the forces acting on the structure, including the unknown forces in the given members and any external loads or reactions. The equilibrium conditions for forces in both the x and y directions, as well as the equilibrium conditions for torques, will need to be satisfied to solve for the unknown forces in members ED, EH, and GH. This may involve setting up a system of equations based on these equilibrium conditions and solving for the unknowns. Furthermore, if the problem specifies a uniform mass density or any additional constraints like symmetrical loading, these can simplify the problem by reducing the number of unknowns or making some forces equal by default.
It is important to note that sometimes simplifications are made for specific joints, like assuming the direction of the force if supported by the problem's context or data given, but this is not a general rule and each problem needs to be assessed individually.