Plate Calculator, An ATOA Engineering App

ATOA Software Technologies Engineering Productivity Apps to All for Design on the GO!

Plate Calculator

apps.atoa.com

2 ATOA Software Technologies Engineering Productivity Apps to ALL, Design on the GO!

ATOA Public

PLATE Calculator Applications

Building

Transportation

Consumer


ATOA Public

Predict Plate Deflection and Stress

• Input – Type: Solid, Sandwich

– Shape: Rectangular , Circular

– Load : Uniform Pressure, Point load

– BC : Simply Supported , Fixed

– Material: Isotropic, Orthotropic

– Analysis: Linear, Non Linear

• Output – Deflection

– Stress


ATOA Public

Plate Calculator Theory

Isotropic Plate

)(

tE ,

24

4

22

4

4

4

1122

t

DWhereD

q

y

w

yx

w

x

w

Governing Equations

.components force midplane are ,,,,)(

tE

,

y

w

yx

w 2

x

w

y

w

yx

w 2

x

w

3

2

22

2

2

4

4

22

4

4

4

yxxyyx

yxyx

NNNND

Where

NNNqD

2112

1

xyyx

yx

3

y

yx

3

x

4

4

22

4

4

4

2DνDH,)νν-(1 12

tEDy,

)νν-(1 12

tEDx

qy

wDy

yx

w 2H

x

wDx

Analytical Solutions used for Plate Cal

Orthotropic Plate

Geometric Nonlinear


ATOA Public

Plate Cal Lite Tutorial Start by tapping the dimension or edit icons.

1. Select Sheet Shape: Rectangular , Circular

2. Enter Sheet length, width and Thickness dimensions. The plate graphics will reflect your changes to input.

3. Select material type and enter material properties.

4. Select Load type and enter loading details.

5. Select Boundary conditions type and enter boundary details.

6. Select type or analysis linear vs Nonlinear ( Pro feature)

7. Click plate to calculate the deflection and stresses.

8. The results window will display the plate, deflection, stress and along with material, load, and boundary and analysis details.

9. The input and output unit can also be changed to any unit.


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Plate calculator vs Numerical FEA

Analytical vs Plate Calculator prediction is exact

• Plate Calculator Results compared with

• Analytical,

• Numerical FEA

• Validation DoE for or many practical cases

• Results reported for 10 cases

%DEF %STRESS

ANALYTICAL vs PLATE

NUMERICAL vs PLATE

ANALYTICAL vs PLATE

NUMERICAL vs PLATE

0.00000000 -0.214543812 Result 1 -0.0001289 -15.961135

0.00000014 -0.242641107 Result 2 0.0000013 -11.969291

-0.00000141 -0.158562287 Result 4 0.0000000 -17.315814

-0.00001481 0.324874663 Result 5 -0.0000534 -9.130768

0.00000731 0.086711633 Result 6 0.0000062 10.424318

0.06677875 4.605375459 Result 7 0.0000131 10.347315

-0.00002222 -0.003745054 Result 8 -0.0000129 0.026162

0.00000645 -0.051807187 Result 9 0.0000014 3.528181

0.16444907 -1.117235164 Result 10 0.0000134 -1.775740


ATOA Public

Result 1

Rectangular Length Width Thickness Modulus UDL

Fixed mm mm mm N/mm2 N/mm2

Linear 1000 1000 10 2400 0.001

Analytical Plate Calculator Numerical

Deflection Stress Deflection Stress Deflection Stress

mm N/mm2 mm N/mm2 mm N/mm2

5.769 3.103 5.769 3.103 5.756 2.676

Plate Calculator Numerical FEA Vs


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Result 2


SS mm mm mm N/mm2 N/mm2

Linear 2500 1000 5 72000 0.0025




34.892 67.993 34.892 67.993 34.885 59.249



ATOA Public

Result 3



Linear 2500 1000 5 72000 0.0025




7.889 50.000 7.889 50.000 7.876 42.620



ATOA Public

Result 4


SS inch inch inch psi psi

Linear 500 200 3 72000 0.0025



inch psi inch psi inch psi

0.26 7.55 0.26 7.55 0.26 6.92



ATOA Public

Result 5



Non-Linear 1000 1000 10 2400 0.001




5.078 2.924 5.078 2.924 5.065 2.611


PRO


ATOA Public

Result 6

Circular Diameter Thickness Modulus CB Load Dia

SS mm mm N/mm2 N mm

Linear 1000 10 2400 100 10




5.747 2.920 5.747 2.920 5.752 3.260



ATOA Public

Result 7




8.662 28.824 8.662 28.824 8.657 29.878

Circular Diameter Thickness Modulus Point Load Dia

SS mm mm N/mm2 N mm

Linear 2500 12 72000 1250 25



ATOA Public

Result 8



inch psi inch psi inch psi

141.525 19.336 141.525 19.336 141.520 19.341

Circular Diameter Thickness Modulus UDL Load Dia

SS inch inch psi psi mm

Linear 500 2 2400 0.001 NA



ATOA Public

Result 9




5.100 2.920 5.097 2.920 5.343 3.257

Circular Diameter Thickness Modulus CB Load Dia

SS mm mm N/mm2 N mm

Non-Linear 1000 10 2400 100 10


PRO


ATOA Public

Result 10




2.248 2.860 2.244 2.860 2.219 2.810

Circular Diameter Thickness Modulus Point Load Dia

Fixed mm mm N/mm2 N mm

Non-Linear 1000 10 2400 100 10


PRO


ATOA Public

Summary of Results

• Analytical vs Plate Calculator prediction of both deflection and stress is exact

• Plate calculator vs Numerical: Stress under +20 %

• Plate calculator vs Numerical: Deflection under +1%

Case

Plate Type Anlaytical Plate Calculator Numerical

Plate Boundary Analysis Load Deflection Stress Deflection Stress Deflection Stress

Shape Conditions Type Type mm N/mm2 mm N/mm2 mm N/mm2

Result 1 Rectangular Fixed Linear UDL 5.769 3.103 5.769 3.103 5.756 2.676

Result 2 Rectangular Fixed Non-Linear UDL 5.078 2.924 5.078 2.924 5.065 2.611

Result 4 Rectangular Fixed Linear UDL 7.889 50.000 7.889 50.000 7.876 42.620

Result 5 Rectangular SS Linear UDL 0.258 7.555 0.258 7.555 0.259 6.923

Result 6 Circular SS Linear CB/PT 5.747 2.920 5.747 2.920 5.752 3.260

Result 7 Circular SS Non-Linear CB/PT 5.100 2.920 5.097 2.920 5.343 3.257

Result 8 Circular SS Linear UDL 141.525 19.336 141.525 19.336 141.520 19.341

Result 9 Circular SS Linear CB/PT 8.662 28.824 8.662 28.824 8.657 29.878

Result 10 Circular Fixed Non-Linear CB/PT 2.248 2.860 2.244 2.860 2.219 2.810

18 ATOA Software Technologies Engineering Productivity Apps

ATOA Public

Engineering For ALL and to enable Design on the GO!

Lite vs Pro Plate Cal Lite Plate Cal Pro

To download your apps and for more Engineering Apps

Visit

apps.atoa.com

• Free • Linear • Isotropic • Boundary conditions 2 • Analysis cases 9+ • Deflection, Stress

Results + contour plots

• Paid • + Nonlinear • + Orthotropic • Boundary conditions 3+ • Analysis cases 20 + • Deflection, Stress Results +

contour plots ++

http://apps.atoa.com/

https://play.google.com/store/apps/details?id=com.atoa.apps.plate_pro

https://play.google.com/store/apps/details?id=com.atoa.apps.plate_lite

Date post:	14-Jul-2015
Category:	Engineering
Upload:	atoa-scientific-technologies
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