Wp950E

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Equipment for Engineering Education

Experiment Instructions
WP950

Deformation of
Straight Beams

G.U.N.T. Gerätebau GmbH
P.O. Box 1125
D - 22881 Barsbüttel • Germany
Phone+49 40 670 854 - 0
Fax
+49 40 670 854 - 42
E-Mail: sales@gunt.de

All rights reserved G.U.N.T. Gerätebau GmbH , Hamburg

WP950

Deformation of Straight Beams

Experiment Instructions

Publication No.: 912.000 00A 950 12

07/08

WP950

Deformation of Straight Beams

Table of contents
1

Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1

2

Unit description . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2

3

Experiments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 3.1

Bending on the cantilever bar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Performing the experiment . . . . . . . . . . . . . . . . . . . . . . . . . . 5

3.1.3

Determining the elastic line . . . . . . . . . . . . . . . . . . . . . . . . . . 7

3.1.4
3.2

Deflection at the point of application of force . . . . . . . . . . . . 4

3.1.2

All rights reserved G.U.N.T. Gerätebau GmbH , Hamburg

3.1.1

Performing the experiment . . . . . . . . . . . . . . . . . . . . . . . . . . 8

Bar on two supports. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 3.2.1
3.2.2

Performing the experiment . . . . . . . . . . . . . . . . . . . . . . . . . 11

3.2.3

Elastic line for centre loading . . . . . . . . . . . . . . . . . . . . . . . 13

3.2.4
3.3

Measurement of the supporting forces . . . . . . . . . . . . . . . . 10

Performing the experiment . . . . . . . . . . . . . . . . . . . . . . . . . 14

Maxwell-Betti’s influence coefficients and law . . . . . . . . . . . . . . . . . 16 3.3.1

3.4

Performing the experiment . . . . . . . . . . . . . . . . . . . . . . . . . 17

Statically undetermined systems . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 3.4.1
3.4.2

4

Calculation of the supporting force . . . . . . . . . . . . . . . . . . . 20 Performing the experiment . . . . . . . . . . . . . . . . . . . . . . . . . 21

Appendix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 4.1

Technical data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23

4.2

Formulae and units used . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24

4.3

Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25

WP950

1

Deformation of Straight Beams

Introduction
The WP 950 device for deformation of straight
beams permits a broad spectrum of experiments
on the deformation of a bending bar.
The experiments include
Elastic line under different support conditions

-

Elastic line under different loads

-

Demonstration of the Maxwell-Betti law

All rights reserved G.U.N.T. Gerätebau GmbH , Hamburg

-

Supporting forces in statically undetermined systems

The loads are applied in a visual manner using sets
of weights.
Deformation of the bar is measured using dial
gauges.
Supporting forces can be determined via the dynamometers integrated in the supports. Bars of various materials are available in order to
demonstrate the influence of the modulus of elasticity on deflection. By using very thin, elastic bars, deformation of the
bar under load can be seen very clearly, even
without dial gauges. Accordingly, the device is not
only suitable for practical experiments, but is also
ideal for demonstration in the classroom. The dynamometers have large, clear scales and can easily be read from some distance away.

1

WP950

2

Deformation of Straight Beams

Unit description

12
4

8

All rights reserved G.U.N.T. Gerätebau GmbH , Hamburg

2

2

2

7

5

3

1

The bar bending device consists...
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