statically determinate and indeterminate systems
- Beams are key structural elements in mechanical engineering and in construction which are subject to deformation under load.
- In the case of a simple beam this deformation can be predicted by various methods, such as the principle of virtual work.
- The beam under investigation in SE 110.47can be supported by different bearing methods.
- Two supports with clamp fixings and an articulated supports with a force gauge are provided to realise statically determinate or indeterminate systems.
- The two supports with clamp fixings are provided with dial gauges and can also be used as articulated supports.
- These dial gauges enable the angle of inclination of the beam to be determined at the support.
- A third dial gauge records the deflection of the beam at a random point.
- A device is additionally provided to generate a bending moment at a random point on the beam.
- A fourth dial gauge records the angle of inclination of the device.
- The beam is placed under load by weights (point load and coupled forces to generate the bending moment).
- The clamping moment on the supports can be determined by means of weights.
- The various 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.
- comparison of different methods to determine the elastic line
- statically determinate or indeterminate beam
- 2 supports with clamp fixing, optionally as articulated support with measurement of angle of inclination or clamp fixing
- 1 articulated support with force gauge
- device to generate a bending moment
- dial gauge with generation of moment to measure the angle of inclination
- dial gauge to record the deformations of the beam
- weights to subject the beam to point loads or moment
- weights to determine the clamping moments on the supports with clamp fixings
- storage system to house the components
- experimental setup in frame SE 112
- length: 1000mm
- cross-section: 20x4mm
- material: steel
- 7x 1N (hanger)
- 28x 1N
- 21x 5N
- force: ±50N, graduation: 1N
- travel: 0…20mm, graduation: 0,01mm
Dimensions & Weight:
- L x W x H: 1170x480x178mm (storage system)
- Weight: approx. 42kg (total)
- elastic lines for statically determinate or indeterminate beams under load
- determination of the elastic line of a beam by
- the principle of virtual work (calculation).
- Mohr’s analogy (area moment method devised by Mohr; graphical representation)
- application of the principle of superposition
- determination of the
- maximum deflection of the beam
- angle of inclination of the beam
- comparison between calculated and measured values for angle of inclination and deflection
Scope of delivery:
- 3 beams
- 2 supports with clamp fixings
- 1 support with force gauge
- 1 device to generate the bending moment
- 1 set of weights
- 3 deflection rollers with fixture
- 3 cables
- 2 dial gauges with bracket
- 1 storage system with foam inlay
- 1 set of instructional material
- comparison of different methods to determine the elastic line: virtual work, Mohr’s analogy
- various load cases: point load or bending moment
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.