REUSABLE WORKSHEETS

Statics - Distributed Loads

<= Loading Function

<= First derivative of loading function

<= Apply the boundary condition of w = w_{start}
_{ }when x=0 and solve for 'd'

<= Since we know the load increases at

'load_rate' per foot of beam when x=0,

we can solve for constant 'b' by setting the

derivative of the loading function to

'load_rate'.

<= Since we know that w=w_{0} when x=10,

we can solve for 'a'. Note x must be

specified as a boundary condition and

'b' and 'd' must be specified as a

known values.

We can solve the beam by taking a moment about one support and summing forces in the y-direction. However, to do either, we must define the equivalent concentrated load of the load distribution. By definition, this is the area under the loading curve. If we define 'W' as the equivalent concentrated load:

If we define the length of the beam, we can use a solve block to determine the reactions R_{A} and R_{B} in terms of w_{0}.