# Deformation of Straight Beams WP 950

## Deformation of Straight Beams

Type: | WP 950 |

Name: | Deformation of Straight Beams |

Categorie: |

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 950 can 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 bearing 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.

- 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)

under point loads (e.g. single-span beam)1

* Deformation of a cantilever beam under point loads1

* Statically determinate or indeterminate systems

WP 100 -- Deformation of Bars under Bending or Torsion

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

Measuring ranges

- force: -50..+50N, graduations: 1N

- travel: 0...20mm, graduations: 0,01mm

Weights

- 4x 2,5N (hanger)

- 4x 2,5N

- 16x 5N

Dimensions and Weight

LxWxH: 1400x400x630mm (frame)

Weight: approx. 37kg

LxWxH: 1170x480x178mm (storage system)

Weight: approx. 12kg (storage system)

Scope of Delivery 1 frame5 beams

4 supports

1 set of weights

3 dial gauges

1 storage system with foam inlay

1 set of instructional material Order Details 020.95000 WP 950 Deformation of Straight

Beams