SS-V: 1120 Simply Supported Beam with Mid-span Load

Test No. VS13 Find the max displacement and stress for a pinned beam with load at the midpoint.

Definition

The units are SI.

The reference solution for max displacement is given by:(1)

δ_{m a x} = \frac{F L^{3}}{48 E I}

$δ_{m a x} = \frac{F L^{3}}{48 E I}$

Where,

The reference solution for max displacement is given by:(2)

σ_{m a x} = \frac{F L}{4 Z}

$σ_{m a x} = \frac{F L}{4 Z}$

Where,

The following table summarizes the displacement and stress results.

	Reference	SimSolid	% Difference
Max Displacement [mm]	1.0714E+00	1.0764E+00	0.46%
Max Stress [MPa]	1.5000E+02	1.5011E+02	0.07%