elastic deformation in a single plane truss
- When a component is placed under load it undergoes elastic deformation.
- This deformation can be calculated by determining elastic lines for example.
- Elastic lines describe the deformation of the complete component in the form of a mathematical equation.
- In reality, it is often only the deformation at specific points on the component which is of interest.
- Energy methods can be applied to determine these deformations more simply.
- Castigliano’s first theorem uses energy methods to calculate the deformation of a point on the component.
- The theorem is applicable to both statically determinate and indeterminate systems.
- In SE 110.44the deformation of a single plane truss at one point is determined using Castigliano’s first theorem.
- The truss under investigation is made of bars joined together by a articulated construction using node disks.
- The trusses can be considered as ideal trusses. The bars have special snap-lock fixtures on their ends allowing them to be fixed easily into the node disks.
- A load application device attached to a node disk generates an external force.
- The range of different bar lengths provided permits three forms of truss to be constructed.
- The bars are made of PVC, so their deformations are clearly visible.
- 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 the deformation of statically determinate trusses
- construction of different truss forms possible
- 2 supports with node disks
- load application device with force gauge mountable on different node disks
- dial gauge to record the deformation of the truss under load
- cross arm for lateral stability of truss
- storage system to house the components
- experimental setup in frame SE 112
Truss with 19 PVC bars:
- height of truss: max. 450mm
- length of truss: max. 900mm
- bar lengths: 2x 150mm, 5x 259mm, 7x 300mm, 1x 397mm, 3x 424mm, 1x 520mm
- angle between bars: 30°, 45°, 60°, 90°
- maximum bar force: 200N
Load application device:
- measuring range: ±500N
- graduation: 10N
- measuring range: 0…0,10mm
- graduation: 0,01mm
Dimensions & Weight:
- L x W x H: 1170x480x178mm (storage system)
- Weight: approx. 26kg (total)
- elastic deformation of truss under point load
- calculation of support reaction and bar forces
- principle of work and strain energy
- application of Castigliano’s first theorem to calculate the deformation at a defined point
- verification of the calculated deformation possible by the principle of virtual work
- comparison of the deformations of different trusses under the same load
- comparison of measured and calculated deformation
Scope of Delivery:
- 1 set of bars
- 5 node disks
- 2 supports with node disk
- 1 load application device
- 1 dial gauge with bracket
- 1 storage system with foam inlay
- 1 set of instructional material
- construction of various truss
- application of Castigliano’s first theorem
Due to the continuous development of our products, the goods supplied may vary in detail to that illustrated on this Website.