Simply supported beam calculator for force, moment, stress, deflection and slope calculation of a simply supported beam under point load, distributed load and bending moment.
Note : Use dot "." as decimal separator.
Note * : P is positive in downward direction as shown in the figure and negative in upward direction. M is positive in clockwise direction as shown in the figure. wa and wb are positive in downward direction as shown in the figure and negative in upward direction.
Note ** : For second moment of area calculations of structural beams, visit " Sectional Properties Calculators".
| INPUT LOADING TO SIMPLY SUPPORTED BEAM |
| POINT LOADS|
| CONCENTRATED MOMENTS|
| DISTRIBUTED LOADS|
| Param.|| Value|
| Reaction Force 1 [R1] ||---|
| Reaction Force 2 [R2]||---|
| Transverse Shear Force @ distance x [Vx]||---|
| Maximum Transverse Shear Force [Vmax]||---|
| Moment @ distance x [Mx]||---|
| Maximum Moment [Mmax]||---|
| Slope 1 [θ1]||---|
| Slope 2 [θ2]||---|
| Slope @ distance x [θx]||---|
| Maximum Slope [θmax]||---|
| Deflection @ distance x [yx]||---|
| Maximum Deflection [ymax]||---|
| Bending Stress @ distance x [σx]||---|
| Maximum Bending Stress [σmax]||---|
Note * : R1 and R2 are vertical end reactions at the left and right, respectively, and are positive upward. Shear forces and deflections are positive in upward direction and negative in downward direction. All moments are positive when producing compression on the upper portion of the beam crosssection. All slopes are positive when up and to the right.
Note: Stresses are positive numbers, and these are stress magnitudes in the beam. It does not distinguish between tension or compression of the structural beam. This distinction depends on which side of the beam's neutral plane c input corresponds.