beam is fixed at one end, spans 21' then goes over a roller support then 6' continues to hang over. there is a point load halfway betwen the supports (10.5') and another at the far end. there is also a distributed load that stretches the entire beam. each point load and distributed load is broken down into part live and part dead load. i need to find out the best way to solve for max shear and moment in the beam but i also need to find what combinations of loads produce the max shear and moment. only live loads can be "turned on or off'