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Making a cut serves as a way to solve for a member by separating the diagram into sections. The cut should separate the diagram into as few sections as possible.

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Making a cut serves as a way to solve for a member by separating the diagram into sections. The cut should separate the diagram into as few sections as possible.

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A truss is statically determinate if you can use the equations of static equilibrium to calculate all of the support reaction and member forces. The number of members + the number of support reactions can't exceed the number of joints x 2 if the truss is

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Include reaction forces in the equilibrium equations

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Include reaction forces in the equilibrium equations

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In a truss, the forces acting on the point of interest result in neither tension or compression.

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Solve for the force of each member starting with the joint that includes known values

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Solve for the force of each member starting with the joint that includes known values

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If the body is in equilibrium and static, then the forces acting upon each other in the same direction should equal zero and cancel each other out. Mathematical calculations should tell you if the force is in tension or compression (depending on a negative or a positive result). If a negative result is achieved, the force drawn in the FBD is acting in the opposite reaction.

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Treat each joint as a particle. Use only two equations

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Treat each joint as a particle. Use only two equations

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Effective when only a few member forces are desired.
Selection of a moment summation point or axis will simplify the equilibrium equations and algebra.

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Method When Truss is Viewed as a Rigid Body

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Method When Truss is Viewed as a Rigid Body

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There will be a reaction force in whichever direction the structure can not move

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There will be a reaction force in whichever direction the structure can not move

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There will be no reaction force in the direction of which the structure moves

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There will be no reaction force in the direction of which the structure moves

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3 equations representing sum of force statements in the x and y directions and sum of the moments. (for 2D)
ΣFx=0
ΣFy=0
ΣM=0
Moment is calculated by summing the forces multiplied by the distances away from the point of interest acting in either the positive (Counterclockwise) or negative (Clockwise) Direction.

# data[].attributes.body
2 equations representing sum of force statements in the x and y directions (for 2D)
ΣFx=0
ΣFy=0
Forces are calculated by summing the forces in the respective directions.