A couple-resultant in statics is a force system that consists of two equal and opposite forces acting on a body, but not along the same line. This results in a rotation of the body rather than a translation.
The magnitude of a couple-resultant can be calculated by multiplying one of the forces by the perpendicular distance between the forces. This distance is also known as the moment arm.
A couple is a force system that consists of two equal and opposite forces, while a couple-resultant is a force system that includes additional forces acting on the body. A couple can be seen as a special case of a couple-resultant, where there are no other forces present.
No, a couple-resultant cannot be balanced because the forces are equal and opposite, but they are not acting along the same line. Therefore, there will always be a net torque acting on the body.
In a free body diagram, a couple-resultant is typically represented by two parallel arrows pointing in opposite directions, with the perpendicular distance between them labeled as the moment arm. The direction of rotation can also be indicated using the right-hand rule.