statically determinate or statically indeterminate parabolic arch under load
- 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.
- investigation of a parabolic arch, optionally statically determinate (1 fixed support, 1 movable support) or indeterminate (2 fixed supports)
- 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
- 2 dial gauges record the deformation of the arch under load
- weights to compensate for the reactions of a fixed support
- roadway with 1 set of shackles to be suspended into the arch; shackles in graduated length
- storage system to house the components
- experimental setup in frame SE 112
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
- measuring range: 0…25mm
- graduation: 0,01mm
- 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)
- 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
- statically determinate or statically indeterminate parabolic arch under load
- deformations of the arch under load
- support reactions of the arch
· 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.