# Free body diagram of a structure

Structure for FBD

**Draw a free body diagram (FBD) of the beam**

Dimensions on the diagram and magnitudes of forces are not important.

assume that gravity exists but the mass of the beam is negligible.

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Find:

Structure for FBD

Dimensions on the diagram and magnitudes of forces are not important.

assume that gravity exists but the mass of the beam is negligible.

Show Solution

To draw the free body diagram of this beam, we look at everything that is applying a force to it or in other words everything that is touching it.

Firstly gravity exists in this question so everything has a weight however because we assume the beam has a mass of 0, the weight of the beam can be ignored and so too can the effects of gravity (there is no force due to gravity acting on the beam)

now all we have left to examine is the other objects in the diagram pushing and pulling on the beam.

We will assume the force due to the support poles act as point forces pushing upwards and we will call these [math]F_{p1}[/math] and [math]F_{p2}[/math].

The top crate is quite wide so it will create a distributed load force which we will call [math]F_{crate}[/math]

the two wires connected to the beam are in tension so they will pull on the beam as point forces, we will call these forces [math]F_{t1}[/math] and [math]F_{t2}[/math]

Now we are ready to draw the FBD

FBD of beam

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