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ST181 · Unsymmetrical Bending

Experimental apparatus for unsymmetrical bending and shear-centre determination of cantilever beams

A cantilever beam clamped in a rotating chuck — with an angular scale and an adjustable load-eccentricity — produces on demand pure symmetrical bending, pure unsymmetrical bending, or combined bending-and-torsion. Two dial gauges record the horizontal and vertical components of the free-end deflection. A set of three cross-sections (I, L, U) lets the student build Mohr's circle of the second moments of area from measured data, locate the shear centre of the U-profile, and observe the effect of shear flow.
ST181 — Unsymmetrical Bending
Experiments
  • Bernoulli hypothesis
  • Axial second moments of area and product moment of inertia
  • Symmetrical (uniaxial) bending of a beam, with I, L and U profiles
  • Unsymmetrical (complex) bending of a beam with an L profile; calculation of the neutral axis
  • Combined bending and torsion by eccentric force application
  • Determination of the shear centre on a beam with a U profile
  • Familiarisation with shear flow in open cross-sections
  • Comparison of calculated and measured values
Cantilever beams
    Deformed length 500 mm
    Material aluminium
    Profiles I · L · U — three cross-sections
Clamping & loading
    Clamping flange free to rotate in any direction about the beam axis
    Angle scale 0…360°, graduation
    Load-point eccentricity 0…25 mm, continuously adjustable
Measurement
    Horizontal & vertical deflection 2 × dial gauge, 0…10 mm, graduation 0.01 mm
Load set
    Weights 1 × 2.5 N hanger · 1 × 2.5 N · 3 × 5 N
Delivery
  • Experimental unit on baseplate with rotating clamping flange
  • 3 cantilever beams (I, L, U profiles)
  • 2 dial gauges with bracket
  • Calibrated weight set, spirit level, hex wrench
  • Storage case with foam inlay, instruction manual
L 700 H 400 W 350 mm
25 kg