experiment 7[1]

8/2/2019 Experiment 7[1]

1/12

Click to edit Master subtitle style

4/11/12

By Ross Edwards, Dara Garnett, Brandon Howard,Brianna Richardson, Stacia Watts, and Robert Westerman

Experiment 7

Chapter 11: Beam Deflection Test


2/12

4/11/12

Purpose of the Experiment


3/12

4/11/12

Importance of the Experiment


4/12

4/11/12

Theory

If a beam is supported at two points, and a load isapplied anywhere on the beam, the resultingdeformation or curvature can be mathematicallyestimated. Curvature at any point on the beam is

calculated from the moment of loading (M),thestiffness of the material (E), and the first moment ofinertia (I.) The followingexpression defines thecurvature in these parameters as 1/, where is the

radius of curvature.

I E M

=


5/12

4/11/12

Equations

Given:Needed:

in inches: width (w), thickness (t), length (L) and length ofgages

In pounds: load (P)

Equations: All in inches except Centroid that is ininches squared

Centroid in :

Distributed Loads Deflection between support:

Distributed Loads Deflection:


6/12

4/11/12

EquipmentGages: To

record thedeflection ofthe Bar ininches

Weight: To

applypressure

Hooks:Hold Weight

Supports:


7/124/11/12

Recorded Data

Distributed Deflection

STEP Load (lb) Gage 1 (in) Gage 2 (in) Gage 3 (in)

1 1 0.0102 0.023 -0.070

2 2 0.0207 0.047 -0.013

3 3 0.0309 0.071 -0.020

4 4 0.0409 0.095 -0.026

5 5 0.0515 0.120 -0.033

Center DeflectionSTEP Load (lb) Gage 1 (in) Gage 2 (in) Gage 3 (in)

1 1 0.0102 0.023 -0.070

2 2 0.0207 0.047 -0.013

3 3 0.0309 0.071 -0.020

4 4 0.0409 0.095 -0.026

5 5 0.0515 0.120 -0.033


8/124/11/12

Calculated Data

Distributed Deflection

STEP Load (lb) Gage 1 (in) Gage 2 (in) Gage 3 (in)

1 1 0.0102 0.023 -0.070

2 2 0.0207 0.047 -0.013

3 3 0.0309 0.071 -0.020

4 4 0.0409 0.095 -0.026

5 5 0.0515 0.120 -0.033

Center Deflection1 1

-0.0056 -0.0139 -0.0056

2 2

-0.0112 -0.0278 -0.01123 3

-0.0168 -0.0417 -0.01684 4

-0.0224 -0.0557 -0.02245 5

-0.0280 -0.0696 -0.02801 1

-0.0056 -0.0139 -0.0056


9/12

4/11/12

Analysis Distributed Loads

ErrorSTEP Gage 1 (%) Gage 2 (%) Gage 3 (%) STEP

1

17% 31% -237%

1

2

18% 32% -262%

2

3

18% 33% -253%

3

4

17% 33% -262%

4

5

18% 34% -257%

5


10/12

4/11/12

Analysis Central Loads

Errors for Centrally Beam LoadedBeamSTEP Gage 1 (%) Gage 2 (%) Gage 3 (%) STEP

1

14% 13% 7%

1

2

15% 13% 7%

2

315% 13% 7%

3

4

15% 14% 11%

4

5

15% 15% 10%

5


11/12

4/11/12

Conclusion


12/12

4/11/12

Group Responsibilities

Ross Edwards: Wrote and Present Purpose of theExperiment

Dara Garnett: Wrote and Present Importance of

ExperimentBrandon Howard: Wrote and Present Theory

Brianna Richardson: Check Both Data, and BothAnalysis. Also Present Both Data

Stacia Watts: Wrote and Present Conclusion

Robert Westerman: Design Presentation, Wrote Title,Equations, Equipment, Raw Data, Calculated Dataand Both Analysis, and Present: Equipment and Both

experiment 7[1]

Documents