Types of Supports and Connections

Connected body Free Body Description
Layer 1
\(\alpha_1\)
\(\alpha_2\)
Layer 1
\(\alpha_1\)
\(\vec{F}_1\)
\(\alpha_2\)
\(\vec{F}_2\)
\(\vec{G}\)
The flexible connection of negligible weight (rope/thread / wire) than the force acts in the direction of connection.
Layer 1
\(A\)
\(B\)
\(\color{red}\alpha\)
Layer 1
\(A\)
\(\color{red}\alpha\)
\(\vec{F}_A\)
If the rope is heavy, the force acts in the direction of the tangent to the rope at the point of connection.
Layer 1
\(A\)
\(B\)
\(\color{red}\alpha\)
Layer 1
\(A\)
\(\vec{F}_A\)
\(\color{red}\alpha\)
The force in the unloaded rod acts in the direction of the rod (axiom 1)
Layer 1
\(B\)
Layer 1
\(\vec{F}_B\)
Two smooth bodies in contact act with forces that are perpendicular to the common tangential plane at the point of contact.
Layer 1
\(A\)
Layer 1
\(\vec{F}_A\)
\(\color{red}\varphi\)
\(\color{red}\varphi\)
If the bodies are rough, the forces can be deflected from the perpendicular to the common tangential plane by an angle less than or equal to the angle of friction \(\varphi\).
Layer 1
Layer 1
\(F_N\)
\(\mu F_T\)
If two rough bodies are in contact and slide on each other,with normal force \(F_N\) there is a force of friction \(F_T = \mu F_N\) which has such a direction that it seeks to stop the sliding of the body from one another.
Layer 1
\(A\)
\(x\)
Layer 1
\(\vec{F}_A\)
\(x\)
In a movable support, the reaction of the connection is perpendicular to the direction of the possible displacement.
Layer 1
\(x\)
\(C\)
Layer 1
\(x\)
\(F_{Cx}\)
\(F_{Cy}\)
In a fixed support, the direction of the reaction of the connection is not known, so it is represented by two components or force and angle.
Layer 1
\(D\)
\(x\)
Layer 1
\(M_D\)
\(F_{Dx}\)
\(F_{Dy}\)
\(x\)
At the clamping point, in the plane problem, two components of force and one moment appear.

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