principle of virtual work to calculate the deformation and support reaction in a statically indeterminate system
- A frame is a bent beam with rigid corners which creates a so-called structure gauge.
- This means that it spans a gap while at the same time creating height.
- SE 110.20includes a typical U-shaped frame, such as is used in the construction of halls for example.
- One end is clamped into place, while the other can be loosely mounted.
- When the non-clamped end remains free, the statically determinate frame is investigated.
- A roller bearing on the non-clamped end creates a statically indeterminate frame.
- The frame is placed under load by weights.
- The load application points are movable.
- Two dial gauges record the deformations of the frame under load.
- By applying various methods (first-order elasticity theory; the principle of superposition; and the principle of virtual work), the bending moment characteristics are ascertained for a statically determinate and indeterminate frame.
- From these characteristic curves and a chart for integrals (coupling table) the differential equation of the bend line is formulated.
- From the bend line and its derivations, displacements and the support force on the movable support can be calculated.
- A second, S-shaped frame can be used to show that the various methods are applicable to any kind of frame.
- 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 steel frames under load
- 1 U-shaped and 1 S-shaped frame
- statically determinate or statically indeterminate bearing support possible
- 1 long and 1 short clamping pillar
- roller bearing for statically indeterminate support
- weights with a movable hook to adjust to any load application point
- dial gauges record the deformation of the investigated frame under load
- storage system to house the components
- experimental setup in frame SE 112
Frame made of steel:
- edge length: 600mm
- cross-section: 20x10mm
- U-shaped: 600x600mm
- S-shaped: 600x600mm
- measuring range: 0…20mm
- graduation: 0,01mm
- 2x 1N (hanger)
- 8x 1N
- 6x 5N
Dimensions & Weight:
- L x W x H: 1170x480x178mm (storage system)
- Weight: approx. 34kg (total)
- relationship between load application and deformation on the frame.
- differences between statically determinate and statically indeterminate frames.
- familiarisation with the first-order elasticity theory for statically determinate and indeterminate systems.
- application of the principle of superposition.
- application of the principle of virtual work on statically determinate and statically indeterminate frames:
- determination of a deformation by the principle of virtual forces
- determination of a load by the principle of virtual displacement
- comparison of calculated and measured deformations
Scope of Delivery:
- 2 frames (1x U-shaped, 1x S-shaped)
- 2 clamping pillars (1x long, 1x short)
- 1 support
- 1 set of weights with movable hooks
- 1 deflection roller with fixture
- 1 cable
- 2 dial gauges with bracket
- 1 storage system with foam inlay
- 1 set of instructional material
- elastic deformation of a statically determinate or indeterminate frame under point load.
- U-shaped and S-shaped frame.
- principle of virtual work to calculate the deformation and support reaction in a statically indeterminate system.
· Required: SE 112 Mounting frame
Due to the continuous development of our products, the goods supplied may vary in detail to that illustrated on this Website.