Solving Statics Problems

Solving Statics Problems-76
(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.The difference between a moment and a torque is that a torque represents twisting while a moment represents bending.

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The way you can tell if you are not sure is to follow the right hand rule, which is sticking your them out on you right hand and following the direction of the curl of your fingers. From these constrains it is possible that there could be a total of six resultant forces and moments for a 3d problem, which means the maximum number of statics equations that can be used to describe a problem would be six.

A fixed constraint keeps an object from rotating and translating.

An object could have a point load placed on it, a distributed load, or a moment.

A point load is a load that is placed on an infinitely small point on a object.

To solve a problem like this you would have to either reorient your coordinate system, or you would have solve for the amount of force that is in the particular directions that are affected.

When you have a force that is at an angle it can be represented in to different ways. But, in some cases there would be a right angle triangle with different number values along the legs and hypotenuse of the triangle.

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.

Now you’re probably saying why do I need to know this information?

The answer is simple, you need to know how to solve a statics problem to do more advanced problems, such as strength of material problems.


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