Compression Test PDF

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Compression Test...

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Compression Test

Date Experiment Performed: 10th October, 2020 Data Report Submitted: 11th October, 2020

Abstract In this experiment we will talk about the compression caused by different mechanical instruments. Compression is primarily studied by mechanical engineering. The compression is based on the study of traction and flexion of a material under applied crushing loads, applying compression pressure on different bases. A wooden stick will be used and some weight will be placed on top of the base, whether it is round, square, or rectangular and pressure will be applied which will cause the compression to this material.In this we will measure critical loads and the moment of inertia using the formula of Euler buckling load. Introduction The compression was started by Leonhard Euler, who was mathematical, physical, geographical, logical, etc. and directed various engineering topics such as comprehension. The Euler's formula is a mathematical formula of complex analysis and establishes a relationship of trigonometric functions and complex exponential functions. Compression or compression force is the unit force whose result is to push, compress or squeeze an object tending to shorten it. In this experiment you can see how the object (wood) will be compressed by the weight placed and with this we will have measurements, we will take the necessary data and then apply it to the necessary formulas to find the buckling load, and the inersia. To find the buckling load, E is needed as the modulus of elasticity, inersia and length; First we must find inertia which is bh ^ 3/12, where b is breadth and h depth which were obtained by doing the experiment. Theory In this experiment the following formulas were used: Pcr= π  ^2EI/L^2

Procedure

First, the experiment is set up, the height and length data, the weight are taken, so that later the critical load and inertia can be found. After taking the length and height we can find the inertia using the formula discussed earlier. After finding the inertia, the critical load can be found, then a table will be made with the data found and it will be graphed to see the differences that were obtained by having different length or height and Critical load. Results Data 1. Ruler 1

Ruler 2

Ruler 3

Length(L)

18.2

12.2

6.2

Depth (H)

0.119

0.08

0.086

Breadth(B)

1.512

1.206

0.997

Force (lb)

2.9 lb

1.7 lb

7.5 lb

Moment of Inertia

0,000212 0.0000528 0.0000514 4 3

Critical Load

2.5302

1.364822 5.4267

Data 2 Ruler 1

Ruler 2

Ruler 3

Length(L)

18.25

12.25

6.25

Depth (H)

0.116

0.078

0.074

Breadth(B)

1.5

1,25

1

Force (lb)

2.9 lb

1.7 lb

7.5 lb

Moment of Inertia

0.00019511 0.0000494 0.0000337

Critical Load

2.3125

1.2996

3.40588

Data 3 Ruler 1

Ruler 2

Ruler 3

Length(L)

18.25

12.25

6.25

Depth (H)

0.015

0.0775

0.079

Breadth(B)

1.5

1,25

1

Force (lb)

2.9 lb

1.7 lb

7.5 lb

Moment of Inertia

0.00019

0.0000484 0.000041

Critical Load

2.252

1.2733

4.3145

Ruler 1

Ruler 2

Ruler 3

Length(L)

18

12

6

Depth (H)

0.1165

0.0795

0.077

Breadth(B)

1.489

1.227

1.07

Force (lb)

2.63

1.74

5.8

Moment of Inertia

0.0001961 0.0000513 0.00004070 9 7 7

Critical Load

2.39051

Data 4

1.408502 4.464076

Results Comparison Buckling Moment -Experiment Length(L)

Force (lb)

18.2

2.9

12.2

1.7

6.2

7.5

18.25 12.25 6.25

18

2.63

12

1.74

6

5.8

Euler’s Buckling- Theoretical Critical Load

Length(L)

Critical load

18.2

2.5302

12.2

1.3648

6.2

5.4273

18.25

2.3125

12.25

1.2996

6.25

3.40558 2.252 1.2733 4.125

18

2.39051

12

1.40802

6

4.464076

Calculation

Conclusion The compression of a material carries out the inertia and the critical load of the mass, in the experiment the data are obtained and it can be seen that they are similar but not one hundred percent equal to the theoretical ones. Comprehension is the study of traction and flexion of a material such as wood in this case with the different applied force, showing that the data obtained are similar, but not the same....