CE Calculators > Slope and Deflection of Cantilever > Varying Load on full span (maximum on fixed end)

Slope and Deflection Calculator for Cantilever with varying load on full span (maximum on fixed end)

varying load on full span
cantilever beam with UDL on part of span

This calculator is for finding slope and deflection at a section (at distance "x") of cantilever beam subjected to a uniformly varying load (UVL) on full span having maximum intensity at the fixed end. This calculator uses standard formulae for slope and deflection. Loads acting downward are taken as negative whereas upward loads are taken as positive. All the distances are measured from origin taken at fixed support. Downward deflection is negative whereas upward deflection is taken as positive. Counter-clockwise rotations are taken as positive whereas clockwise rotations are taken as negative.

Please refer to the figure and enter the required values in the form given below and then click "Calculate"

Span of beam (m):
UVL intensity 'w' (kN/m):
Distance 'x' (m):
Modulus of Elasticity 'E' (GPa):
Moment of Inertia 'I' (cm^4):
Please make sure that
all the distances are positive

Slope at X (rad):
Deflection at X (mm):
Slope at free end (rad):
Deflection at free end (mm):
Slope and deflection at the fixed end
of cantilever are equal to zero.

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