This free online calculator is developed
on the basis of slope and deflection equations to
calculate the slope and
deflection at any point of the simply supported beam
or cantilever carrying
point load, moment, uniformly distributed load (UDL) or uniformly varying load (UVL). It
also gives the value of maximum deflection and the point where it
occurs. In some cases mid-span deflection is calculated instead of
Instructions for using the Calculator
(i) The forces and deflection upward are considered as positive and
counter clock-wise moment and rotation are
taken as positive.
(ii) Take the origin of reference axes at the extreme left end of the
beam. All the distances should be entered in meter and load in kN,
Moment of Inertia in cm4 and modulus of
elasticity (E) in GPa. It will give the values of slope (in
rad.) and deflection (in mm) at a section between the two supports.
(iii) You can also quickly get the deflection values
at different points of the beam just by changing the position of
section "x" . These values can be used to draw the diagram
of elastic curve of beam.
(iv) This calculator will also help you in getting the
ordinates of influence line diagram for deflection in case of moving load on the
In case of combination of loads, you can apply the principle of
superposition to calculate the resultant slope and deflection.