Equations of Equilibrium in Structural Engineering

1.3. What are the equations of equilibrium? (Select all that apply)

a. Sum of applied loads = 0

b. Sum of moments = 0

c. Sum of Fy = 0

d. Sum of Fx = 0

Equations of Equilibrium

The equations of equilibrium are the sum of forces in the x-direction (Fx) equals zero, the sum of forces in the y-direction (Fy) equals zero, and the sum of moments about any point equals zero.

Explanation: The equations of equilibrium are fundamental principles in engineering mechanics that describe the balance of forces and moments acting on a body in static equilibrium. These equations are used to analyze and solve problems involving the equilibrium of structures and mechanical systems.

The equations of equilibrium are:

- The sum of forces in the x-direction (Fx) must be equal to zero.

- The sum of forces in the y-direction (Fy) must be equal to zero.

- The sum of moments about any point must be equal to zero.

By applying these equations, engineers can determine the unknown forces and moments acting on a structure or mechanical system, ensuring that it remains in a state of equilibrium.