Deformation of frames

Order Code: 32158

Category: Strength of Materials Lab

Features 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  indet...



SPECIFICATION

Features

  • 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 

 

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. 
Tesca Deformation of Frames includes 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 two sets of 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 well-structured instructional material sets out the fundamentals and provides a step-by-step  guide through the experiments. 

 

Specifications
Investigation of the deformation of steel frames under load 
U-shaped and S-shaped frame 
Statically determinate or statically indeterminate bearing support possible 
1 long and 1 short clamping pillar 
Roller bearing for statically indeterminate support 
Loading of the frame by weights 
2 sets of 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 

 

Technical Specifications
Frame made of steel 
      -     Edge length: 600mm 
      -     Cross-section: 20x10mm 
      -     U-shaped: 600x600mm 
      -     S-shaped: 600x600mm 
Dial gauges 
      -     Measuring range: 0...20mm, graduations:     0,01mm 
Weights 
      -     2x 1N (hanger) 
      -     8x 1N 
      -     6x 5N

 

Experiments
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 
  • 2 sets 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  

 

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