FreeBody · Mechanics of materials lab

Bend it.
See the stress.

Blue is compression, red is tension. Load a beam and watch the shear and moment diagrams draw themselves, spin Mohr’s circle, and push a column until it buckles.

Lab 01 · Bending · Shear & moment diagrams

Load the beam.

Drag the load along the beam. The color inside the beam is the bending stress σ = My/I, the curve is the real (exaggerated) deflected shape, and the V and M diagrams below update live.

M_max0 kN·m
V_max0 kN
σ_max0 MPa
v_max0 mm
Steel, E = 200 GPa, σ_y = 250 MPa, L = 4 m
Lab 02 · Stress transformation

Spin Mohr’s circle.

Set the stresses on the element, then rotate it. The point on the circle moves twice as fast as the element. Where the circle crosses the σ axis are the principal stresses (no shear).

σ₁0
σ₂0
τ_max0
θ_p0°
σx′0
τx′y′0
Lab 03 · Buckling

Push until
it buckles.

Euler’s critical load P_cr = π²EI/(KL)² depends on how the ends are held. Increase the load and watch the column bow out in its buckling mode shape.

K1
P_cr0 kN
chalk
talk
Toolbox