DEFLECTION ON THE CANTILEVER BEAM

MUHAMMAD ARIF IN AZIZAN MUHAMMAD ZULHELMI IN SULAIMAN

MOHD FIRDAUS BIN SAADMUHAMMAD HAFIFI IN MUHAMMAD

The experiment involves the bending and vibration of an test bar.

Measurements are made of the deflection, strain rates, fundamental frequency, and damping constant.

The student is exposed to measurement techniques, data acquisition, and analysis. The experimental results are also compared with theory.

To dtermine the deflection at the point of application of force for cantilever beam.

OBJECTIVE

IN A CANTILEVER BEAM ONE SIDE OF THE BAR IS FIXED AND THE OTHER SIDE IS FREE.

THIS IS KNOWN S A TRIVALENT SUPPORT WHICH TRANSMIT NORMAL FORCE,TRANVERSE FORCE AND MOMONET.

THE BEAM IS THEREFORE SUPPORTED IN STATICALLY DETERMINED MANNER.

THEORY

THE FORMULA FOR THE DEFLECTION OF THE BEAM AT THE POINT OF APPLICATION OF FORCE IS

DEFLECTION IS PROPOTIONAL TO THE LOAD F AND INVERSELY PROPOTIONAL TO THE MODULUS OF ELASTICITY E AND PLANAR MOMENT OF INERTIA ly.

WHERE δ = DEFLECTION(MM) F = FORCE L = LENGTH E = MODULUS OF ELASTICITY ly = AREA MOMENT OF INERTIA

TEST BAR MODULUS ELASTICITY, E

(N/mm2 )

BASE,b (mm) AREA OF MOMENT OF

INERTIA. ly(mm2)

STEEL 210 000 6.0 365.4

BRASS 97 000 6.8 528.2

RESULT

LOAD, F (N)

MEASURED DEFLECTION

CALCULATED DEFLECTION

5 0.6 0.58

10 0.74 1.17

15 1.49 1.75

20 2.15 2.34

25 2.82 2.93

30 3.51 3.51

LOAD, F (N)

MEASURED DEFLECTION

CALCULATED DEFLECTION

5 1.43 1.06

10 2.90 2.13

15 4.44 3.20

20 5.97 4.26

25 7.55 5.33

30 9.07 6.40

TEST BAR DIMENSION

STEEL BAR BRASS BAR

Although strain is not usually required for engineering evaluations (for example, failure theories), it is used in the development of bending relations.

STRAIN

The determination of stress distributions of beams in necessary for determining the level of performance for the component.

STRESS

Often limits must be placed on the amount of deflection a beam or shaft may undergo when it is subjected to a load.

Deflections of beams depend on the stiffness of the material and the dimensions of the beams as well as the more obvious applied loads and supports.

DEFLECTION

THE PROLEM THAT WE FACE WHEN WE DO THIS EXPERIMENT IS THE TABLE IS VIBRATE AND AFFECT THE READING.

IF MORE LOADED IS ADDED, THE MORE THE TEST BAR IS BENDED

DISCUSSION

THE CONCLUSION IS, IF MORE WEIGHT IS ADDED, THE STEEL BAR IS BEND MORE.

THE STIFFNESS OF THE ARE DEPEND ON THE WEIGHT THAT HAVE BEEN ADDED.

THE RESULT OF THE EXPERIMENT IS DIFFERENT DUE TO THE ERROR WHEN THE TABLE IS VIBRATE DURING THE READING IS TAKEN

CONCLUSION

TERIMA KASIH