Structural Research - Strength of Materials Methods (classical Methods) - Example

Example

There are 2 commonly used methods to find the truss element forces, namely the Method of Joints and the Method of Sections. Below is an example that is solved using both of these methods. The first diagram below is the presented problem for which we need to find the truss element forces. The second diagram is the loading diagram and contains the reaction forces from the joints.

Since there is a pin joint at A, it will have 2 reaction forces. One in the x direction and the other in the y direction. At point B, we have a roller joint and hence we only have 1 reaction force in the y direction. Let us assume these forces to be in their respective positive directions (if they are not in the positive directions like we have assumed, then we will get a negative value for them).

First we must find the values of the values of the reaction forces. This can be done by using the force (the sum of forces in any direction should be 0) and moment (the moment resultant about a point should be 0) balances since the system is in static equilibrium.

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