# Solving Statics Problems (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.

## Comments Solving Statics Problems

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But no matter how I try to solve the system of equations I always get 0 = 0 or a singular matrix. I don't know if the problem is that I messed up.…

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Work truss problems efficiently. First look at the physics of the problem to see • if you can solve for the forces in any members by inspection. • if you need to find.…

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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. Statics is.…

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Solving Statics problems. Determine reaction forces for static equilibrium. 1Free Body Diagram. Decide if the problem is solvable a. How many unknowns.…

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To solve two dimensional statics problems draw a free body diagram; Write equations for force equilibrium; Write equations for moment equilibrium; Once you.…

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Oct 3, 2018. Solving Two Equations for Two Unknowns and a Statics Problem with SymPy and. import numpy as np from sympy import symbols, Eq, solve.…

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In the above problem, the tension in the cable and the angle that the cable makes with the. Use trigonometric functions and a sketch to assist in the solution.…

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Examples 2-1 thru 2-4 are all examples taken from statics problems, showing step by step manipulations to determine the final solution. For several reasons, it is.…