Determination of Elastic Line

Order Code: 32157

Category: Strength of Materials Lab

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    Be...



SPECIFICATION

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 Tesca Determination of Elastic Line can be  supported by different bearing methods. Two supports with clamp fixings and an articulated supports  with a force measurement dial gauge are provided to realize 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 set-up is arranged in the frame. 
The well-structured instructional material sets out the fundamentals and provides a step-by-step  guide through the experiments. 

 

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 
Articulated support with force measurement dial 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 

 

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

 

Experiments
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 moment 
  • 7 sets of weights 
  • 3 deflection rollers with fixture 
  • 3 cables 
  • 2 dial gauges with bracket 
  • 1 movable hook 
  • 1 storage system with foam inlay 
  • 1 set of instructional material 

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