Shear Force and Bending Moment Diagram :
Shear Force and Bending Moment Diagram
Statics observes the effect of forces on a rigid
body, ignoring any possible deformations which may occur in the process.
The forces are in equilibrium. In reality, forces always produce an
effect in the component, such as deformation. These effects are
investigated in the science of the strength of materials. The methods
applied in strength of materials serve to design components so that they
cannot be deformed or destroyed by applied forces. A simple example is a
statically determinate bearingmounted 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. Bending Moment Diagram includes a
beam mounted on two supports. The beam is cut at one point. At that
point there is a lowfriction 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. This
force readout, divided by 10, gives the bending moment in Nm. 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 laidout and housed securely in a storage system.
The complete test setup is arranged on a frame. The wellstructured
instructional material sets out the fundamentals and provides a
stepbystep guide through the experiments.
Specification:
1. Determination of shear force and bending moment on beam mounted on 2 supports
2. Measurement of shear force and bending moment in beam by lowfriction hinge with 2 degrees of freedom
3. Position of hinge at 1/3 span
4. 2 bearing supports
5. Loading of beam by 1 to 3 point loads
6. Force gauges to indicate shear force and determine bending moment
7. Bending moment determined by force measurement and lever arm
8. Adjuster nuts for horizontal alignment of beam
9. Steel rule to determine positions of point loads
10. Storage system to house the components
Technical Data:
Beam
 total length: 1000mm
 span: 800mm
Measuring ranges
 bending moment via force gauge and lever arm
lever arm: 100mm
Force gauge: 100…+100N
bending moment: 10…+10Nm
 shear force: 50…+50N
 steel rule: 1000mm, graduations: 1mm
Set of weights
 3x 1N (hangers)
 12x 1N
 9x 5N
 max. weight load per hanger: 20N
