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Products  |  Engineering Mechanics and Machine Elements  |  Statics  |  SE 110.17
SE 110.17 Three-Hinged Arch  Show data sheet (pdf file) Print page
Technical Description

Bridges are often constructed as three-hinged arches. This type of construction is particularly suitable when compression-proof building materials are available. Horizontal thrust occurs in the arch at the supports. It permits much lower bending moments in the arch than in the case of a beam on two supports with the same span. A significant longitudinal compressive force is active in the arch to produce this effect.
  A three-hinged arch consists of a curved beam mounted on two fixed supports, and usually featuring the so-called crown hinge at its crown. The hinges on the two fixed supports absorb vertical and horizontal forces, and are known as abutment hinges. Their connecting line is the springing line. The crown hinge renders the system statically determinate.
  SE 110.17 includes two long arch segments and one short segment, of which two at a time are connected by a hinged joint producing a symmetrical or unsymmetrical three-hinged arch. The arch under investigation can be subjected to point, distributed or moving load. Weight sets compensate for the support reactions of a abutment hinge, so enabling a comparison between calculated and actual measured values.
    The various elements of the experiment are clearly laid-out and housed securely in a storage system. The complete experimental set-up is arranged in the frame SE 112.

  The well-structured instructional material sets out the fundamentals and provides a step-by-step guide through the experiments.

Learning Objectives / Experiments
- Familiarisation with three-hinged arches
  (unsymmetrical and symmetrical)
- Application of the method of sections and the
  conditions of equilibrium to calculate the bearing
  forces for
  * point load, distributed load, moving load 
- Investigation of the influence of the load on the
  horizontal thrust in the supports
- Determination of the lines of influence for the 
  supports under a moving load
- Comparison of the calculated and measured 
  support reactions for static and moving load

* Statically determinate three-hinged arch1
* Symmetrical or unsymmetrical arch1
* Various load cases: point load, distributed load,

  moving load

Available accessories
SE 112 -- Mounting Frame
Alternative products
SE 110.12 -- Lines of Influence on the Gerber Beam
SE 110.16 -- Parabolic Arch
SE 110.18 -- Forces on a Suspension Bridge

[1] Investigation of 2 statically determinate three-hinged arches
[2] 3 arch segments: 2x long (together making a symmetrical arch), 1x short (together with 1x long: unsymmetrical arch)
[3] Hinged arch with 3 hinges: 1 crown hinge, 2 abutment hinges at the bearing points
[4] Arch subjected to point load, distributed load (each by weights) or moving load
[5] 4 sets of weights to compensate for the support reactions of an abutment hinge
[6] Storage system to house the components

[7] Experimental set-up in frame SE 112

Technical Data
Aluminium arches
- 2x long: 480mm, total arch length: 960mm
- 1x short: 230mm, total arch length: 710mm
- arch height: 250mm
- 4x 1N (hangers)
- 36x 1N
- 16x 5N
- moving load: 10N+20N
Dimensions and Weight
Weight: approx. 32 kg
Scope of Delivery
3 arch segments
1 moving load
2 bearings
4 sets of weights with deflection rollers
1 storage system
1 set of instructional material
Order Details

022.11017  SE 110.17  Three-Hinged Arch

© 2005 G.U.N.T. Gerätebau GmbH