Deflections Calculate Settings

Deflection and Rotation of Simply Supported Beam with Concentrated Load


deflection-simply-supported-beam-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 = 0.01·E·I

d(x) = FEI·((l24·xx33)·(xl2) + (l24·(lx) – (lx)33)·(x > l2))

φ(x) = FEI·(l24x2)

$Plot{x | -d(x)·103 @ x ∈ [0; l]}

Maximum deflection

dmax = d(l2)·103 mm

Maximum rotation

φmax = φ(0)·103 rad·10³

Calculate deflection at x = m

d(x)·103 mm