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Deflection and Rotation of Cantilever with Concentrated Load


deflection-cantilever-force.png

Beam length - l = m

Load - F = kN

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) = F/EI·(l·xx2/2)

d(x) = F/(2·EI)·(l·x2x3/3)

$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