statically determinate or statically indeterminate parabolic arch under load

Description:

• Parabolic arches are popular elements in construction engineering.
• They can be employed as bridges or beams for example.
• Normally these bridges are statically indeterminate.
• The special feature of the parabolic arch is that in the arch only normal forces and bending moments occur, but no shear forces.
• That is the case when the arch is subjected to a uniform distributed load and both ends are mounted in fixed supports.
• This enables arches to be constructed from loosely set stones – a construction technique which has been in existence for many centuries.
• Loads acting upon the inner of the arch are primarily compressive forces in the direction of the normal force at every point of the arch.
• SE 110.16includes a pre-shaped parabolic arch.
• It can be subjected to point or distributed loads.
• It is possible to suspend an elastic roadway and load it.
• One of the arch’s supports is fixed, the other is horizontally movable support.
• Weights are used to undo this movement.
• The movable support thus becomes a fixed support.
• Additional weights compensate for the vertical support reaction.
• Dial gauges record the deflection of the arch under load and the horizontal displacement of the movable support.
• As long as the movable support is movable, the arch is statically determinate, though it is substantially deformed under load.
• As soon as the movable support becomes immovable, the arch is no longer statically determinate and is deformed only to a minor degree.
• All the component elements of the experiment are clearly laid-out and housed securely in a storage system.
• The complete experimental setup is arranged in the frame SE 112.

Technical Details:

Specification:

1. investigation of a parabolic arch, optionally statically determinate (1 fixed support, 1 movable support) or indeterminate (2 fixed supports)
2. loading of the arch with a distributed load by way of 7 evenly distributed loads or by point loads or by suspended roadway with loads
3. 2 dial gauges record the deformation of the arch under load
4. weights to compensate for the reactions of a fixed support
5. roadway with 1 set of shackles to be suspended into the arch; shackles in graduated length
6. storage system to house the components
7. experimental setup in frame SE 112

Technical Data:

Parabolically pre-shaped steel arch:

• length: 1000mm
• height: 280mm
• cross-section: 20x6mm

Roadway made of PVC:

• dead-weight: approx. 2,6N
• L x W x H: 900x70x3mm

Dial gauge:

• measuring range: 0…25mm
• graduation: 0,01mm

Weights:

• 11x 1N (7+4 hanger)
• 7x 1N (shackle)
• 36x 1N
• 19x 5N

Dimensions & Weight:

• L x W x H: 1170x480x178mm (storage system)
• Weight: approx. 38kg (total)

Learning Objectives/Experiments:

• mechanical principles of the parabolic arch
• differences between statically determinate and statically indeterminate arches
• measurement of the deformations of the arch under load
• measurement of the support reactions on the statically indeterminate arch under load
• calculation of the support reactions
• influence of load on reaction forces and deformation of the arch:
  • point load
  • distributed load
  • suspended elastic roadway under load

Scope of Delivery:

• 1 arch with 7 shackles + 7 hangers
• 1 roadway with shackles
• 1 set of weights
• 2 deflection rollers with fixture
• 1 support
• 2 dial gauges
• 1 storage system with foam inlay
• 1 set of instructional material

Features:

• statically determinate or statically indeterminate parabolic arch under load
• deformations of the arch under load
• support reactions of the arch

Accessories:

·         Required: SE 112 Mounting frame

·         Optional: SE 110.30 Dial gauges

Due to the continuous development of our products, the goods supplied may vary in detail to that illustrated on this Website.