Solving Statics Problems

Instead I’m going to create a basic overview of it that will apply to other sections of this website.Basically, I am going to discuss what type of forces and constraints could be placed on an object.The difference between a moment and a torque is that a torque represents twisting while a moment represents bending.

Instead I’m going to create a basic overview of it that will apply to other sections of this website.Basically, I am going to discuss what type of forces and constraints could be placed on an object.

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Due to those constraints there will be reaction forces and moments in a all directions on that constraint. Pinned constrains are constraints that prevent translation in all direction, but allow a rotation about the pin.

This in turn will cause resultant forces but there will be no resultant moment for a two dimensional problem. A rolling constraint prevents translation in one direction.

(Eq 1) $∑x=0$ (Eq 2) $∑y=0$ (Eq 3) $∑z=0$ (Eq 4) $∑M_x=0$ (Eq 5) $∑M_y=0$ (Eq 6) $∑M_z=0$ When solving a statics problem, there can be times when the force applied may be at an angle to the coordinate system.

Typically when solving a statics problem you would want to solve for forces that are purely in the x, y, and z directions.

Statics is the study of how forces interact on a body.

What statics does is it takes in consideration of Newton’s Law “For every action there is an equal and opposite reaction.” The law works because for every force applied to the object for it to be static (unable to move or rotate) there has to be an opposite and equal force to hold the object stationary.

If there are more unknown forces then there are statics equations to solve for them then the problem would be considered statically indeterminate, which is discussed in the strength of materials section.

To setup a free body diagram for a problem and derive its statics equations (equations 1-6) refer to the example below.

Those values state the contribution of the force in each direction. In addition to being able to calculate the forces in the x, y, and z directions, sometimes you may want to calculate the magnitude of all of those forces combined and the angle that the force is offset from the coordinate system.

To calculate the magnitude equation 7 would be used.