Question

What is the static equilibrium of a body? What are the conditions for static equilibrium of...

What is the static equilibrium of a body? What are the conditions for static equilibrium of a body?

(The students are required to explain static equilibrium of a body and give the equations of equilibrium for all three coordinate axes: x, y and z for forces and also moments)

Homework Answers

Answer #1

A body is said to be in static equilibrium when it is at rest or does not move in any direction under the application of forces.The conditions for the body to be static equilibrium are

Condition-1 The algebraic sum of all the forces acting on the body is zero i.e

For equilibrium in three dimension

where Fx , Fy , Fz are algebraic sum of forces in x , y and z directions respectively

Condition-2 The algebraic sum of the moments of these force components acting on body about any point is zero

i.e

For equilibrium in three dimension

where Mx , My and Mz are the components of moment along x, y and z axis

When these two conditions are satisfied the body is said to be in the state of static equilibrium

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