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) = F4·EI·((l24·x – x33)·(x ≤ l2) + (l24·(l – x) – (l – x)33)·(x > l2))

φ(x) = F4·EI·(l24 – x2)

$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