Features
comparison of different methods to determine the elastic line: virtual work, Mohr’s analogy  
statically determinate and indeterminate systems  
various load cases: point load or bending moment 

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 32223 can 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 32150. 

Tesca Virtual Work Principle Apparatus is used for applying the principle of  virtual work to the derivation of redundant reactions. It is to be used with Universal Structural Frame.  An elastic beam is supported at both ends by moment supports. Both supports permit the application  and measurement of moments and rotations. A third support, vertical force support, is used for the  case of two span continuous beam. A clamp on moment application device with a mean to counter  balance the device weight is provided to apply a pure moment and measure rotation. The beam is  loaded by weights. The deflection and slope of the beam can be measured by dial indicators. 

Specifications
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

Technical Specifications
Beam  
      ?     Length: 1000mm  
      ?     Cross-section: 20x4mm  
      ?     Material: steel  
Weights  
      ?     7x 1N (hanger)  
      ?     28x 1N  
      ?     21x 5N  
Measuring ranges  
      ?     Force: ±50N, graduation: 1N  
      ?     Travel: 0…20mm, graduation: 0,01mm

Experiments

1. Elastic lines for statically determinate or indeterminate beams under load  
2. Determination of the elastic line of a beam by  
3. The principle of virtual work (calculation)  
4. Mohr’s analogy (area moment method devised by Mohr; graphical representation)  
5. Application of the principle of superposition  
6. Determination of the  
7. Maximum deflection of the beam  
8. Angle of inclination of the beam  
9. Comparison between calculated and measured values for angle of inclination and deflection