SIMPLY SUPPORTED STRUCTURAL BEAM WITH TWO PARTIALLY DISTRIBUTED INTERMEDIATE LOADS
Following calculator has been developed to find forces, moments, stresses, deflections and slopes in structural beam for a specific case which is
partially distributed
intermediate loading of a simply supported structural beam with two loads.
Note: For more information on
shear, moment, slope and deflection calculations for different end constraints, please refer to "Beams; Flexure of Straight Bars" chapter of Roark's Formulas for Stress and Strain.
Definitions:
Distributed load: A load which acts evenly over a structural member or over a surface that supports the load.
Fixed support: Fixed supports can resist vertical and horizontal forces as well as a moment. Since they restrain both rotation and translation, they are also known as rigid supports.
Roller support: Roller supports are free to rotate and translate along the surface upon which the roller rests.
The resulting reaction force is always a single force that is perpendicular to the surface. Roller supports are commonly located at one end of long bridges to allow the expansion and contraction of the structure due to temperature changes.
Simply supported beam: A beam which is free to rotate at its supports, and also to expand longitudinally at one end.
Structural beam: A structural element that withstands loads and moments. General shapes are rectangular sections, I beams, wide flange beams and C channels.
Supplements:
List of Equations:
"Simply Supported Structural Beam with Partially Distributed Load" calculator has been used for the calculation of forces, moments, stresses, deflections and slopes with superposition principal.
Reference:

Young, W. C., Budynas, R. G.(2002). Roark's Formulas for Stress and Strain
. 7nd Edition, McGrawHill, Chapter 8
, pp 125  267

Oberg.E , Jones.D.J., Holbrook L.H, Ryffel H.H., (2012) . Machinery's Handbook
. 29th edition. Industrial Press Inc.
, pp 236  261
 Beer.F.P. , Johnston.E.R. (1992). Mechanics of Materials
, 2nd edition. McGrawHill, Chapter 45789