Experiments:

  • Investigation of the deflection for statically determinate and statically indeterminate straight beams* cantilever beam
    * inter mediate 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 (Muller-Breslau)

Specifications:

  • Elastic lines of statically determinate and indeterminate beams under various clamping conditions.
  • 3 steel beams with different cross-sections
  • 3 MS beams with different cross-sections.
  • 1 copper beam.
  • 3 brass beams with different cross-sections.
  • 3 aluminum beams with different cross-sections.
  • 4 sets of weights with adjustable riders.
  • Anodized aluminium section frame housing the experiment.
  • Storage system to house the components.
  • 3 articulated, height-adjustable supports with force gauge range 100N; least count 0.5N.
  • 2 support with clamp fixing.
  • Force gauges can be zeroed, peck and tracking function is available in force gauge.

A beam is a structural component that resists bending primarily to support loads. Compressive, shear, and tensile stresses are experienced internally by the beam. The apparatus is used to measure the deflections and slopes of a beam that is bending and to compare those readings to those obtained from differential equation and Area Moment Method calculations. The beam has two adjustable height end supports with an interchangeable knife edges and a cantilever end clamp. For point loads, load hangers are utilized, while many weights are used for uniform loads. Dial gauges are used to measure slopes and deflections. In both building and mechanical engineering, beams are important structural components. A beam is a bar-shaped structural element that is loaded both parallel to and perpendicular to its longitudinal axis. Its cross-sectional dimensions are significantly lower than its length. The force perpendicular to the longitudinal axis causes in bending of the beam,, which is a deformation of the beam. The beam is considered as a one-dimensional model based on its size. The stress and strain that arise from applying a load to a component are the subject of the study of material strength. A straight beam is a good example of many key ideas in material strength. SM-1404’s investigation beam can be assisted in a variety of ways. This results in systems that are statically determinate and indeterminate and can be loaded by up to four sets of weights. The points where the load is applied are movable. The resulting deformation is measured by three dial gauges. Three articulated supports that have built-in force gauges immediately indicate the support reactions. The height of the articulated supports can be changed to account for the dead weight of the beam under inquiry. The effect of geometry and elastic modulus on the deformation of the beam under load is demonstrated using numerous beams of various thicknesses and compositions. The experiment’s components are all organised clearly and kept safe in a storage system. The frame contains the entire experimental setup. The comprehensive course materials outline the foundations and offer a step-by-step walk through of the experiments.