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

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.