Deformation of straight beams (WP 950)

Deformation of straight beams (WP 950)

deformation of a beam on two or more supports under point loads (e.g., single-span beam)

CodeWP950

Description:

  • Beams are key structural elements in mechanical engineering and in construction.
  • A beam is a bar-shaped component in which the dimensions of the cross-section are much smaller than the length and which is subjected to load along and perpendicular to its longitudinal axis.
  • The load perpendicular to the longitudinal axis causes a deformation of the beam – that is, bending.
  • Based on its size, the beam is viewed as a one-dimensional model.
  • The science of the strength of materials deals with stress and strain resulting from the application of load to a component.
  • Many fundamental principles of the strength of materials can be illustrated well by a straight beam.
  • The beam under investigation in WP 950can be supported in different ways.
  • This produces statically determinate and indeterminate systems which are placed under load by different weights.
  • The load application points are movable.
  • Three dial gauges record the resulting deformation.
  • Three articulated supports with integral force gauges indicate the support reactions directly.
  • The articulated supports are height-adjustable, so as to compensate for the influence of the dead-weight of the beam under investigation.
  • A fourth support clamps the beam in place.
  • Five beams of different thicknesses and made of different materials demonstrate the influence of the geometry and of the modulus of elasticity on the deformation of the beam under load.
  • 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.

Technical Details:

Specification:

  1. elastic lines of statically determinate and indeterminate beams under various clamping conditions
  2. 3 steel beams with different cross-sections
  3. 1 brass and 1 aluminium beam
  4. 3 articulated, height-adjustable supports with force gauge
  5. 1 support with clamp fixing
  6. force gauges can be zeroed
  7. 3 dial gauges to record deformations
  8. weights with adjustable hooks
  9. anodised aluminium section frame housing the experiment
  10. storage system to house the components

Technical Data:

Beam:

  • length: 1000mm
  • cross-sections: 3x20mm (steel), 4x20mm (steel), 6x20mm (steel, brass, aluminium)
  • Frame opening: 1320x480mm

Weights:

  • 4x 2,5N (hanger)
  • 4x 2,5N
  • 16x 5N

Measuring ranges:

  • force: ±50N, graduation: 1N
  • travel: 0…20mm, graduation: 0,01mm

Dimensions & Weight:

  • L x W x H: 1400x400x630mm
  • Weight: approx. 37kg
  • L x W x H: 1170x480x178mm (storage system)
  • Weight: approx. 12kg (storage system)

Learning Objectives/Experiments:

  • investigation of the deflection for statically determinate and statically indeterminate straight beams
  • cantilever beam
  • single-span beam, dual- or triple-span beam
  • formulation of the differential equation for the elastic line
  • deflection on a cantilever beam
  • measurement of deflection at the force application point
  • deflection of a dual-span beam on three supports
  • measurement of the support reactions
  • measurement of the deformations
  • influence of the material (modulus of elasticity) and the beam cross-section (geometry) on the elastic line
  • Maxwell-Betti coefficients and law
  • application of the principle of virtual work on statically determinate and indeterminate beams
  • determination of lines of influence
  • arithmetically
  • qualitatively by way of force method (Müller-Breslau)

Scope of delivery:

  • 1 frame
  • 5 beams
  • 4 supports
  • 1 set of weights
  • 3 dial gauges
  • 1 set of accessories
  • 1 storage system with foam inlay
  • 1 set of instructional material

Features:

  • deformation of a cantilever beam under point loads
  • statically determinate or indeterminate systems

Accessories:

Optional: WP 300.09 Laboratory trolley

 

Due to the continuous development of our products, the goods supplied may vary in detail to that illustrated on this Website.