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Deflection and Rotation of Cantilever with Uniformly Distributed Load


deflection-cantilever-distributed-load.png

Beam length - l = m

Load - q = kN/m

Second moment of area - I = cm4

Modulus of elasticity - E = GPa

Functions of rotation and deflection along the beam

EI = E·I·0.01

φ(x) = q/(2·EI)·(x3/3 – l·x2 + l2·x)

d(x) = q/(2·EI)·(x4/12 – l·x3/3 + l2·x2/2)

$Plot{x | – d(x)·103 @ x ∈ [0; l]}

Maximum deflection

dmax = d(l)·103 mm

Maximum rotation

φmax = φ(l)·103 rad·10³

Calculate deflection at x = m

d(x)·103 mm


Substitute