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CE Calculators >> Slope & Deflection

         Calculator for Slope and Deflection of Simple beam 

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 maximum.

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 structures.

In case of combination of loads, you can apply the principle of superposition to calculate the resultant slope and deflection.

                      Deflection Calculator for Simply Supported Beam
Select the loading case to start calculations

UDL on full span

udl on full span of beam

Point Load

point load on beam

UDL on left side part of span

udl on part of span

Moment on left support

Moment on left support

UDL on right side part of spanNew 

udl on part of span 

Moment on span

Moment on span

UDL anywhere on the spanNew
udl on part of span
Moment on right supportNew 
Moment on right support of beam
Moment on both supportsNew
 Moment on both supports of beam
Varying Load
varying load on full span

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Last updated on Saturday February 22, 2014