Statics - Distributed Loads
<= Loading Function
<= First derivative of loading function
<= Apply the boundary condition of w = wstart
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
<= Since we know that w=w0 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 RA and RB in terms of w0.