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7/25/2019 2. Structural Linear II
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BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
COMPUTER AIDED DESIGN[ME F 342]
Training in FEA using
ANSYS[P-2 Structural Linear Analysis-II (2-D, 3-D)] & Tutorials]
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BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Model Problem-6
3-D cantilever beam of L=10, h=2 & b=3, is subjected to a
load of 6500 unit.
E= 200X105.
1] Find out deflection of the free end
2] Find out maximum tensile and compressive stresses
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BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Model Problem-6
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BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
ELEMENT: SOLID-95 (STRUCTURAL)
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BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Define Solid Model
/PREP7
ET,1,95
MP,EX,1,2E5
MP,NUXY,0.33
BLOCK,,10,,2,,3
VPLOT
[KPLOT & Find out Key point numbers with GUI and Note it]
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BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Define Mesh
!DEFINE MESH SIZEKESIZE,1,0.5KESIZE,2,0.5KESIZE,5,0.5
KESIZE,8,0.5KESIZE,3,2KESIZE,4,2KESIZE,6,2KESIZE,7,2
!MESH THE VOLUMEVMESH,1!EPLOTFINI
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7/33BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Solut ion Phase
/SOLU
!DEFINE SUPPORT
NSEL,S,LOC,X,0
D,ALL,ALL,0NSEL,ALL
!DEFINE LOAD
NSEL,S,LOC,X,10
NSEL,R,LOC,Y,2
F,ALL,FY,-500 !Tot Load=500X13 nodes = 6500 unit
NSEL,ALL
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8/33BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Deformed with Un-Deformed Plot
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9/33BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Stress Plot (SigmaX)
7/25/2019 2. Structural Linear II
10/33BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Stress Plot (SigmaX along the width)
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11/33BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Stress Plot (SigmaX along the length)
7/25/2019 2. Structural Linear II
12/33BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Model Problem-7
Plate (L=8, W=4, T =10) with a central circular hole (D=1), is subjected to
tensile load 1500 N, along length direction. E= 200X105. Using symmetry
concept in FEM, Prove that the stress concentration factor (SCF) = 3.
[Maximum stress = 3 times the Normal stress]
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13/33BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Define a Solid Model
/TITLE,Plate with a Circular Hole
/PREP7ET,1,82,,,3
R,1,10MP,EX,1,2E5MP,NUXY,0.33RECTG,,4,,2
APLOT
PCIRC,,0.5APLOTASBA,1,2APLOT
A1
A2
ASBA,1,2
A3
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14/33BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Define Mesh
!DEFINE MESH
KESIZE,2,0.3
KESIZE,3,0.3
KESIZE,4,0.3
KESIZE,5,0.05
KESIZE,6,0.05
!MESH THE AREA
AMESH,3EPLOT
FINI
SAVE
Find out Key Point Numbers
A3
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15/33BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Solution | Boundary Conditions
/SOLUNSEL,S,LOC,X,0
D,ALL,UX,0
NSEL,ALL
NSEL,S,LOC,Y,0
D,ALL,UY,0
NSEL,ALL
!DEFINE LOADNSEL,S,LOC,X,4
F,ALL,FX,50
NSEL,ALL
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7/25/2019 2. Structural Linear II
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Stress Plot: Sigma-X
7/25/2019 2. Structural Linear II
18/33BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Stress Plot: Sigma-X
PLOT CONTROLS | STYLE | SYMMETRY EXPANSION | PERIODIC SYMM(about XZ axis)
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Stress Plot: Sigma-X
PLOT CONTROLS | STYLE | SYMMETRY EXPANSION | PERIODIC SYMM(about YZ axis)
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20/33BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
You will be able to solve:Plate with an Elliptical Hole
Theoretical Solution by Theory of Elasticity |Stress Concentration Factor
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21/33BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
You will be able to solve:Plate with a Central Crack
Theoretical Solution by Theory of FractureMechanics (Stress Intensity Factor K
I)
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BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Model Problem-8
2-D Hollow Cylinder of internal radius 5 and external radius 7,
is press fitted into a cylinder of internal radius 7 and external
radius 8, is subjected to an internal pressure of 10 at radius
R5. The outer cylinder is fixed at radius R8.
Determine using 1/4th solid domain:
1] Radial deflection at Rad: R5, R7 and R82] Hoop (Tangential) Stress at boundary
Inner Cyl:E= 200X105. Outer Cyl:E= 20X105
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BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Define a Solid Model
/TITLE,SHRINKFIT OF CYLS
/PREP7
ET,1,PLANE82
PCIRC,5,7,0,90
PCIRC,7,8,0,90
AGLUE,1,2
A1A2
A1
A3
AGLUE,1,2 = A1 & A3
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BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Define a Solid Model
MP,EX,1,200E5MP,EX,2,20E5
!ASSIGNING THE MATERIAL TO THE AREA
ASEL,S,,,1 !ASEL,Type,Item,Comp,VMIN,VMAX,
AATT,1 !Associates MP with theselected, unmeshed areas
ASEL,ALL
ASEL,S,,,3
AATT,2
ASEL,ALL
A1
A3
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BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Define Mesh
ESIZE,0.1
AMESH,ALL
FINISH
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BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Solution | Boundary Conditions
/SOLU
ANTYPE,0 !Static Analysis
DL,2,1,UX,0 !DL,LINE,AREA,Lab,Value
DL,10,3,UX,0
DL,4,1,UY,0
DL,9,3,UY,0
SFL,3,PRES,10 !SFL, Line, Lab, VALUE
DL,5,2,ALL
SOLVE
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BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Deformed Plot
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BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Stress Plot: Sigma-X
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BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Tutorial Problem to be Solved
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BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
Plate (L=8, W=4, T =10) with a central circular hole (D=1), is subjected to
tensile load 1500 N, along length direction.E= 200X105.
Using symmetry concept in FEM, Determine and verify the theoretical
results in following cases (as shared with you):
Case-1] Biaxial Tension (Length and Width both subjected to 1500 N
Case-2] Biaxial Compression (Length and Width both subjected to 1500 NCase-3] Tension on width (1500 N) Compression on Length (1500 N)
Tutorial-1
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BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
3-D cantilever beam of L=10, h=2 & b1= 3 and b2 = 1is
subjected to a load of 6500 unit.
E= 200X105.
1] Find out deflection of the free end
2] Find out maximum tensile and compressive stresses
Tutorial-2 (Case-1)
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BITS Pilani, Deemed to be University under Section 3 of UGC Act, 1956
3-D cantilever beam of L=10, b=3 & h1= 2 and h2 = 1is
subjected to a load of 6500 unit.
E= 200X105.
1] Find out deflection of the free end
2] Find out maximum tensile and compressive stresses
Tutorial-2 (Case-2)
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3-D cantilever beam of L=10, b1= 3 and b2= 1 & h1= 2 and h2= 1 is
subjected to a load of 6500 unit.
E= 200X105.
1] Find out deflection of the free end
2] Find out maximum tensile and compressive stresses
Tutorial-3 (Case-3)
