Date: Fri, 29 Mar 2024 07:20:29 -0500 (CDT)
Message-ID: <131261820.4177.1711714829709@cornell1-cos-conf1.managed.contegix.com>
Subject: Exported From Confluence
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Step 8: Postp=
rocess the results
Enter the postprocessing module to analyze the solution.
Main Menu > General Postproc
Plot von Mises Stress<=
/h4>
To display the von Mises stress distribution as continuous cont=
ours, select
Main Menu > General Postproc > Plot results > Contour P=
lot > Nodal Solu
Select Stress from the left list, von Mises SEQV from the right list and click=
OK.
Utility Menu > PlotCtrls > Pan,Zoom,Rotate > Right
(Click Picture for Larger Image)
The maximum von Mises stress is 147 MPa and occurs at the bottom on the =
symmetry line.
Plot Circumfere=
ntial Stress
=CF=83=CE=B8is the SY stress component in cylindrica=
l coordinates in ANSYS. Activate the cylindrical coordinate system for resu=
lts display (you need to do this even if you were working in the cylindrica=
l system in the preprocessor):
Main Menu > General Postproc > Options for Outp=
p>
Select Global Cylindric=
strong> for Results C=
oord System.
To display the=CF=83=CE=B8stress distribution over face 1 as =
continuous contours, select
Utility Menu > PlotCtrls > Pan,Zoom,Rotate > Right
Main Menu > General Postproc > Contour Plot > Plot resu=
lts > Nodal Solu
Select Stress from the left list, Y-direction SY from the right list and click=
OK.
(Click Picture for Larger Image)
Check where the maximum (MX) and minimum (MN) =CF=83=CE=B8values occur in the plot. The circumferential stress is tens=
ile (positive) and compressive (negative) on the inner and outer portions o=
f the cross-section, respectively. Is this what you'd have expected? The=CF=
=83=CE=B8contours are more closely spaced at smaller r =
values. This agrees with the prediction of curved beam theory that the stre=
ss gradients will be highest on the edge nearest the center of curvature.=
p>
Plot Neutral Axis
The neutral axis is the locus of points where =CF=83=CE=B8is =
zero. To visualize the neutral axis, we'll change the contour levels that a=
re plotted.
Utility Menu > PlotCtrls > Style > Contours > Unifor=
m Contours
Enter 2 for Number of=
contours, and choose User specified for Contour Intervals. =
Enter Min contour value<=
/em>=3D-0.2E9, Max contour value=3D0.2E9, and Contour value incr=
=3D0.2E9. Click OK<=
/strong>.
This plots the regions with positive and negative =CF=83=CE=B8values in different colors. In the red region, 0<=CF=83=CE=B8<200MPa and in the blue region, -200MPa<=CF=83=CE=B8<0=
. So the boundary between the two colors is the neutral axis.
The FEA results indicate that the neutral axis is curved, contrary to th=
e assumption in mechanics of materials theory.
Plot Radial Stress
In cylindrical coordinates, the radial stress is the SX stress =
component.
Main Menu > General Postproc > Plot results > Nodal Sol=
u...
Select Stress from the left list, X-direction SX from the right list and click=
OK=
.
Change contour plot options back to original:
Utility Menu > PlotCtrls > Style > Contours > Unifor=
m Contours
Enter 9 for Number of=
Contours, and choose Auto calculated for Contour Intervals. Click OK.
(Click Picture for Larger Image)
The radial stress is tensile over the entire cross-section.
Main Menu > General Postproc > Plot Results > Deformed =
Shape
Select Def + undeform=
ed and click OK.
This plots the deformed and undeformed shapes in the Graphics w=
indow. The maximum displacement DMX=3D0.230e-4 m.
Animate the deformation:
Utility Menu > PlotCtrls > Animate > Deformed Shape
Select Def + undeform=
ed and click OK. <=
strong>Select Forward Only in the Animation Co=
ntroller.
From the animation of the deformation of the cross-section, check that t=
he following BCs are satisfied: u=3D0 at node A, w=3D0 along AB and CD. (No=
te that the z-direction is from right to left in the above view).
The radial stress is tensile, so the radial dimension becomes larger as =
expected. We saw that the circumferential stress is, respectively, tensile =
and compressive on the inner and outer portions of the cross-section. You c=
an check that the stress SZ parallel to the axis of revolution is =
small. Therefore, the Poisson effect should cause the inner and outer porti=
ons, respectively, to contract and expand in the z-direction as is observed=
. Circumferential tension on the inner portion pulls material toward the ce=
nter of curvature. Outer corners are more flexible than the central portion=
. So it makes sense that the outer, bottom corner moves inward with respect=
to central point A (Cook et al). Thus, the deformation we gets looks reaso=
nable.
Animate the front view:
Utility Menu > PlotCtrls > Pan,Zoom,Rotate > Front
Utility Menu > PlotCtrls > Animate > Deformed Shape
Select Def + undeform=
ed and click OK. <=
strong>Select Forward Only in the Animation Co=
ntroller.
From this animation, check that the BCs for v on both faces are satisfie=
d.
Save your work: Toolbar > SAVE_DB
Go to Step 9: Validate the results
See and rate the =
complete Learning Module
Go to all ANSYS L=
earning Modules
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