Application of the method of sections to determine internal reactions of the beam
- Statics observes the effect f forces on a rigid body, ignoring any possible deformations which may occur in the process.
- The forces are in equilibrium.
- A simple example is a statically determinate bearing-mounted beam subjected to point loads.
- The reactions are determined from the conditions of equilibrium.
- To investigate the effect of the point loads in the beam, it is notionally split into two segments.
- Applying the method of sections, the internal forces and moments are plotted onto the two segments and calculated by way of conditions of equilibrium.
- WP 960includes a beam mounted on two supports.
- The beam is cut at one point.
- At that point there is a low-friction hinge with two degrees of freedom.
- Two force gauges determine the internal reactions to the externally applied forces at the section.
- The shear force is recorded and displayed directly by a force gauge.
- The bending moment occurring at the section is recorded by a second force gauge acting on a fixed lever arm.
- Adjuster nuts on the two force gauges are used to align the beam horizontally and balance out any deflection.
- In evaluating the experiment, it becomes clear that the shear force, as opposed to the bending moment, is mostly negligible when designing components.
- The various elements of the experiment are clearly laid-out and housed securely in a storage system.
- The complete experimental setup is arranged on a frame.
- determination of shear force and bending moment on beam mounted on 2 supports
- measurement of shear force and bending moment in beam by low-friction hinge with 2 degrees of freedom
- position of hinge at 1/3 span
- 2 bearing supports
- loading of beam by 1-to-3-point loads
- force gauges to indicate shear force and determine bending moment
- bending moment determined by force measurement and lever arm
- adjuster nuts for horizontal alignment of beam
- tape measure to determine positions of point loads
- storage system to house the components
- calculation of the reactions arising from the static conditions of equilibrium
- application of the method of sections to calculate the internal forces and moments
- under a point load
- under multiple point loads
- calculation of the shear force diagram
- calculation of the bending moment diagram
- comparison of calculated and measured values for shear force and bending moment
Scope of Delivery:
- 1 experimental unit
- 1 set of weights
- 1 set of accessories
- 1 storage system with foam inlay
- 1 set of instructional material
· 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.