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Analysis of a long cylinder pressure vessel

Aim:

To analyze a long cylinder pressure vessel and to determine the maximum deflection,

tangential and radial stresses.

Problem Description:

A long cylinder pressure vessel of inside diameter 10cm and outside diameter 20cm is

subjected to an internal pressure 10kN/cm2. 20 structural solid element plane 82 is used to

perform analysis.

Procedure:

Preprocessor:

1. In the main menu select preprocessor Element type Add/Edit/Delete on the library ofelement dialog box select structural solid in the left list box and then select Quad 8 node 82 in

the right list box. Select axis symmetric from element behavior drop down box and click Ok.

Define materials properties

2. In main menu preprocessor materials properties material models double click

structurallinear elastic isotropic in right list box.

3. Enter 2.1E7 for EX & 0.3 for PRXY.

Modeling procedure

4. Select preprocessor modeling create key points Inactive CS on the create key

points in active co-ordinate system dialog box enter 1 for key point number and (10,0,0) for XYZ

location in active cs.

5. Select preprocessor modelingcreate Areas Arbitrary Through KPS

6. Pick key points 1,2,3,4 click ok on the picking menu.

Generate Meshing:

7. Select preprocessorMeshingSize ControlsManual Size Global Size on the global

element sizes dialog box enter 20 for number of element divisions and click Ok.

8.Select Preprocessor Meshing Mesh Areas Free Boundary Loading

Conditions.

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9. Select PreprocessorLoadsDefine loads apply structural displacements On modes

on the apply u,ROT to be constrained and click Ok.

10. In the utility menu selectentities, selectplotReplot, Select Entities

11. Select Preprocessor Loads Define Loads Apply Structural Pressure Onnodes on the apply press on elements dialog box enter 10,000 for load press value.

12. Select everything

13. Plot elements click save DB in ansys tool bar.

General Post Processor:

14. Select Solution Solve Current CS Click Ok on the solve current load step dialog

boxselect plot controlsstyle symmetry expansion 2D axis symmetric.

15. Select 3/4 expansion for select expansion amount and click Ok.

16. Select plot Replot

17. Select general post processorplot resultscontour plot nodal solutions.

18. Select nodal solutions stress X component stress contour nodal solution dialog box

select nodal solution stress Z component of stress Clock Ok.

19. In the main menu select general post processor list results Nodal solution on the list

nodal solution data dialog box.

20. Select nodal solution stressX component of stress Click Ok.

21. Review and close the PRNSOL command window. In the utility menu select File Exit on

the exit from ansys select save Every thing and click Ok.

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Result:

Thus the maximum deflection, tangential and radial stress induced in long cylindrical pressure

vessel in determined using ANSYS.

Maximum hoop stress = 6665.58N/cm

Maximum radial stress=-99984.51N/cm2

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Axial Deflection of open coiled Helical Spring

Aim:

To determine the deflection of an open coil helical spring.

Problem Description:

An open coiled helical spring consist of 10 coils of mean diameter 5cm the wire forming the

coils bring 6mm diameter and making a constant angle of 300

with planes perpendicular to the

axis of spring. The spring is attached to a tensile load of 125N E=2.1E7N/cm2, G=8.4E6 N/cm

2.

The spring is analyzed for maximum deflection 3D-10 node tetrahedral structural solid element

solid 92 is used to perform the analysis.

Procedure:

1. Initially click the preferences and select the structural preferences structural Ok2. In the main menu select preprocessorElement Type Add/Edit/Delete on the library

of element types dialog box select structural solid in the box and select Tet 10 node 92 in

the right list box.

3. Select preprocessor Material PropsMaterial modelsDouble click structuralLinearElastic Orthotropic Enter 2.1E7 for Ex, EY,EZ and 8.4E6 for Gxy, Gyz, Gzx.

4. Select preprocessor ModelingCreate Key points inactive CS Enter (0,0,0) forx,y,z location.

5. Select work plane select and change active CS to global co-ordinates.6. Select preprocessor Modeling Create Lines In Active CS co-ordinates pick key

points 21 and 22 in the same order and close the picking menu.

7. In the utility menu select work plane off set wp by increments enter(0,0,90) forxy,yz,zx angles and Click Ok.

8. Select preprocessor Modeling Create Areas Circle Solid Circle enter 0.3 forradius and click Ok.

9. Select Preprocessor Modeling Operate Extrude Areas Along lines Pickarea 1 and click Ok.

10.Select preprocessor Meshing Mash tool on the mesh tool dialog box click mesh andclick pick all from mesh volumes picking menu.

11.Select preprocessor Loads define Loads Apply Structural Displacement OnAreas Pick Area and click Ok . Select all DOF and click Ok.

12.Select Preprocessor Loads Define loads Apply Structural Force/MomentOn key points Pick key points and click Ok.

13.On the apply Force/Moment on key points dialog box select Fz from direction ofForce/Moment drop down box and enter 125 for Force/Moment value.

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14.In the main menu select Finish and select solution Solve Current Ls.15.In the main menu select finish.16.Select general post processorPlot resultsCounter Plot Nodal solution Select

Nodal SolutionDOF solution Z component of displacement Click Ok.

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Result:

Thus the axial deflection of an open coil is determined of an open coil helical spring is

determined using ANSYS.

Minimum axial deflection =-0.003316cm

Maximum axial deflection=1.216cm