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Created by:
Cameron Krahn
Greta Scheidt
Sahit Reddy
Connor Dokken

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Tension is represented in FBDs by an arrow pointing away from the body of interest. Compression is indicated with an arrow going toward the body of interest

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A negative result indicates that a force acts in the direction opposite of its assumed direction

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If you want to find the forces of only a few members of a truss use method of sections

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When using the method of joints, you start with the joint that has 2 or fewer unknowns, and step through the truss joint by joint.

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can use principles of particles of equilibrium by isolating a single joint and treating it as a particle

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if (M+r) < r  ---->partial fixity
if (M+r) < r  ---->statically determinate IF fully fixed
if (M+r) < r --->Statically indeterminate

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(M+r) = 2j
M= Number of members
r= Number of reactions
j= Number of joints

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Members that support no loading, used to increase stability during construction and provide added support if the loading is changed.

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Can be identified by treating a joint as a particle if you have 3 forces, 2 in alignment and 1 that is not

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If you want to find all of the forces involved in a truss use the method of joints

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Reaction forces and moments will exist in the direction movement is restricted

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sum of forces in x and y, and sum of moments about x or

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We can make one or more a cuts through any section of a body, however, it is preferred if the cut only passes through three members

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Sum of forces in x and y plane.

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When a body is in static equilibrium, every section of the body is also in static equilibrium

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Rigid-body is in equilibrium when it isn't being translated or rotated. Take into account sum of forces, and moments in x and y. ALL forces and all their moments taken about any points is zero. These equations give 6 independent equations.

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When the particle is not moving at all, and the sum of the forces is zero. The sum of the moments is also zero, because a particle has no tendency to rotate.

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A structure composed of slender members joined together at their endpoints.