CANTILEVER STRUCTURAL BEAM DEFLECTION AND STRESS CALCULATOR FOR MULTIPLE LOADS AND MOMENTS
Following calculator has been developed to find forces, moments, stresses, deflections and slopes in a cantilever beam.
Multiple point loads, distributed loads and concentrated moments can be defined as input loading
for structural beam. This calculator has been developed by using formulas given in the "Cantilever Beam with Concentrated Load at any Point", "Cantilever Beam with Concentrated Intermediate Moment" and "Cantilever Beam with Partially Distributed Load" calculator pages.
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.
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.
Pin support: A pinned support resist both vertical and horizontal forces but not a moment. They will allow the structural member to rotate, but not to translate in any direction.
A pinned connection could allow rotation in only one direction; providing resistance to rotation in any other direction.
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.
Cantilever beam: Cantilever is a beam which is fixed at only 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.
List of Equations:
"Cantilever Beam with Concentrated Load at any Point", Cantilever Beam with Partially Distributed Load" and Cantilever Beam with Concentrated Moment at any Point" calculators have been used for the calculation of forces, moments, stresses, deflections and slopes with superposition principal.
Young, W. C., Budynas, R. G.(2002). Roark's Formulas for Stress and Strain
. 7nd Edition, McGraw-Hill, 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. McGraw-Hill, Chapter 4-5-7-8-9