
A beam is subject to a sinusoidally distributed load as shown in the
top figure to the left :
w(x)= w_{o} sin(pi*x/L)
acting downwards.
w_{o} is the weight per unit length at the center
of the beam (x=L/2) and pi=3.1415....
Please determine in terms of w_{o} and beam length L the following :
 The total weight of the continuous load.
 The support forces R_{1} and R_{2}.(Think about where
the center of mass of the continuous load might be).
 Use dV/dx =  w(x) to determine the shear forces V(x) as function of x
and sketch it into the graph provided.
 Use dM/dx=V(x) to determine the moment M(x) as function of x
and sketch it into the graph provided.
 What is equation for the maximum value of M(x) ?
