FINITE ELEMENT METHOD
COURSEWORK
ENGD3111
JANUARY 28, 2023
JOHNSON AKANBI
De Montfort
P2591881
,Contents
Table of Figures................................................................................................................................. 2
Table of tables .................................................................................................................................. 4
Static structural analysis of a clevis assembly ................................................................................... 5
Intoduction/ Back ground .............................................................................................................. 5
Objectives/Aims ............................................................................................................................ 5
STRUCTUAL ANLYSIS ...................................................................................................................... 5
Mesh analysis brief .................................................................................................................... 7
Boundary conditions .................................................................................................................. 8
When pin is steel material ............................................................................................................. 9
When pin is copper material ........................................................................................................ 15
When pin is aluminium material .................................................................................................. 20
Discussion ................................................................................................................................... 25
Thermal analysis base of electric an electric kettle ......................................................................... 26
Introduction/Background ............................................................................................................ 26
Aims and objectives ..................................................................................................................... 26
Structural Analysis ....................................................................................................................... 27
Boundary conditions for Thermal state analysis ....................................................................... 28
When base of kettle is silver ........................................................................................................ 29
Transient thermal analysis ....................................................................................................... 34
When base kettle is copper material ............................................................................................ 36
Transient thermal copper ........................................................................................................ 40
When base of kettle of aluminium material ................................................................................. 41
Transient Analysis for Aluminium material ............................................................................... 46
Discussion ................................................................................................................................... 47
Conclusion ...................................................................................................................................... 48
References ...................................................................................................................................... 48
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,Table of Figures
Figure 1:Image showing the clevis assembly ...................................................................................................................... 5
Figure 2: showing the isometric view of the half clevis assembly ........................................................................................ 6
Figure 3: showing geometry on static structural analysis .................................................................................................... 6
Figure 4:image showing default mesh applied to the geometry .......................................................................................... 7
Figure 5: image showing half clevis assembly with element size of 4mm............................................................................. 8
Figure 6: Image showing boundary conditions ................................................................................................................... 8
Figure 7: Image showing boundary condition for the geometry .......................................................................................... 9
Figure 8: Image showing the properties of carbon steel 1020 ............................................................................................10
Figure 9: showing the assigned materials of the components ............................................................................................11
Figure 10: Showing the undeformed(transparent) and deformed clevis assembly when pressure load is applied when pin is
carbon material. ..............................................................................................................................................................11
Figure 11: Showing the results for total deformation with default mesh applied (15.2mm) for when the material of the pin
is steel .............................................................................................................................................................................12
Figure 12: image showing total deformation analysis of clevis assembly with average element size of 4mm when material of
the pin is steel .................................................................................................................................................................12
Figure 13: image showing stress analysis of the clevis assembly with 15.2mm(default) element size and multizone mesh for
pin when material is steel ................................................................................................................................................13
Figure 14: image showing stress analysis of the clevis assembly with 4mm element size and multizone mesh for pin when
material is steel ...............................................................................................................................................................14
Figure 15:image showing safety factor of clevis assembly for 15.2mm mesh when material of pin is steel ..........................14
Figure 16: image showing safety factor of clevis assembly when pin is steel material with mesh 4mm ...............................15
Figure 17: showing the designated materials assigned to the components copper C12200 ................................................16
Figure 18: Showing the undeformed and deformed clevis assembly with material of pin copper 12200 (note scale is 96 auto
scale) ...............................................................................................................................................................................16
Figure 19: Showing the results for total deformation with default mesh applied (15.2mm) for when the material of the pin
is copper..........................................................................................................................................................................17
Figure 20: image showing total deformation when pin is Copper 12200 with mesh 4mm ...................................................17
Figure 21: image showing stress when pin is copper 12200 with default mesh...................................................................18
Figure 22: Image showing stress when pin is copper 12200 and mesh 4mm ......................................................................19
Figure 23: Showing the results for Safety factor with 4mm mesh applied for when the material of the pin is copper ..........20
Figure 24: showing the material assignment for different compont of the clevis assembly .................................................21
Figure 25: Showing the undeformed(transparent) and deformed clevis assembly when pressure load is applied when pin is
Aluminium material. ........................................................................................................................................................21
Figure 26: Showing the results for total deformation with default mesh applied (15.2mm) for when the material of the pin
is pure Aluminum.............................................................................................................................................................22
Figure 27: Showing the results for total deformation with 4mm mesh applied (15.2mm) for when the material of the pin is
pure Aluminium ...............................................................................................................................................................22
Figure 28: image showing stress concentration when material of pin is Aluminum with default mesh ................................23
Figure 29: image showing stress concentration when material of pin is pure aluminum wish a mesh size of 4mm ..............23
Figure 30 showing saftey factor when pin material is aluminum with default mesh size .....................................................24
Figure 31: showing the safety factor when pin material is aluminum with mesh of 4mm ...................................................25
Figure 32: showing the bottom base of the kettle Figure 33: showing the top base of the kettle .....................27
Figure 34: image showing kettle base with heated elemnt on geometry ............................................................................27
Figure 35:image showing convection applied to the kettle base ........................................................................................28
Figure 36: Showing heat flux applied through the heating element ...................................................................................28
Figure 37: isometric view of the kettle base and showing the direction of the axis .............................................................29
Figure 38: image showing the material assignments .........................................................................................................30
Figure 39: back view of total heat flux of kettle base when mesh is default silver material .................................................30
Figure 40:image showing the total heat flux of the kettle base when heat flux is applied to the heating element, front view
........................................................................................................................................................................................30
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, Figure 41: image showing the total heat flux of the kettle base when heat flux is applied to the heating element with
element size 4mm, front view silver material ....................................................................................................................31
Figure 42:back view of total heat flux when material of kettle base is pure silver 4mm element size ..................................31
Figure 43: image showing the Directional heat flux (in the z axis) of the kettle base when heat flux is applied to the heating
element , front view.........................................................................................................................................................31
Figure 44:back view .........................................................................................................................................................31
Figure 45: image showing the Directional heat flux (in the z axis) of the kettle base when heat flux is applied to the heating
element , front view with mesh 4mm ...............................................................................................................................32
Figure 46:back view of direction heat flux copper C10100 with mesh 4mm .......................................................................32
Figure 47: image showing the temperature of the kettle base when base material is silver ................................................32
Figure 48:back view of kettle base when base material is silver temperature .....................................................................32
Figure 49: image showing the back view of the kettle base when mesh is 4mm .................................................................33
Figure 50: showing temperetaure distrubution of kettle base whenmaterial is pure silver and mesh is 4mm ......................33
Figure 51: showing the trnsiant thermal analysis...............................................................................................................34
Figure 52: transient thermal analysis for silver material total heat flux ..............................................................................34
Figure 53:showing transient thermal for silver directional heat flux ...................................................................................35
Figure 54: showing transient thermal analysis for temperature .........................................................................................35
Figure 55: showing the heated element and base material assignement............................................................................36
Figure 56:showing the heated element view back view when kettle base is copper material default mesh. ........................37
Figure 57: total heat flux for copper C10100 mesh size is default.......................................................................................37
Figure 58: showing the total heat flux for copper material when mesh is 4mm ..................................................................37
Figure 59: back view of kettle base copper material when mesh is 4 mm...........................................................................37
Figure 60:back view of copper material when mesh is default and directionaal heat flux ...................................................38
Figure 61: directional heat flux for copper material when mesh is default .........................................................................38
Figure 62: back view of the kettle base when material is copper with mesh of 4mm showin the directional heat fluc .........38
Figure 63: front view of the kettle base when material is copper with mesh of 4mm to find the directional heat flux. ........38
Figure 64: showing back view of the the kettle base when material is copper default mesh for temperature readings ........39
Figure 65:showing the temperature results when the material is copper with default mesh front view ..............................39
Figure 66: showing back view of the the kettle base when material is copper 4mm mesh for temperature readings ...........39
Figure 67: showing the temperature results when the material is copper with 4mm mesh front view ................................39
Figure 68: transient thermal analysis for copper base total heat flux .................................................................................40
Figure 69:showing transient thermal analysis for copper material directional heat flux ......................................................40
Figure 70: showing transient thermal analysis for temperature for copper base ................................................................41
Figure 71: showing the assigned material alluminium alloy to the heated elelment ...........................................................42
Figure 72:back view of aluminium assighed kettle base for the total heat flux default mesh ..............................................43
Figure 73: showing the kettle base made out of aluminium when mesh size is default and showing total heat flux.............43
Figure 74: showing the total heat flux when kettle base is alluminium and element size is 4mm ........................................43
Figure 75: showing the back view of the alluminium kettle base of total heat flux with mesh of 4mm ................................43
Figure 76:showing kettle base made out of aluminium when mesh size is default and showing directional heat flux ..........44
Figure 77: showing the back view of the aluminium kettle base of directional heat flux with default mesh .........................44
Figure 78: showing the back view of the aluminium kettle base of directional heat flux with default mesh.........................44
Figure 79: showing kettle base made out of aluminium when mesh size is 4mm and showing directional heat flux ............44
Figure 80: showing back view of the the kettle base when material is aluminum default mesh for temperature readings ...45
Figure 81: showing the temperature results when the material is Alumnium with default mesh front view ........................45
Figure 82: showing the temperature results when the material is Aluminium with 4mm mesh front view ..........................45
Figure 83: showing back view of the the kettle base when material is aluminium 4mm mesh for temperature readings .....45
Figure 84: transient thermal analysis for Aluminium base total heat flux ...........................................................................46
Figure 85: showing transient thermal for Aluminium directional heat flux .........................................................................46
Figure 86: showing transient thermal analysis for temperature for aluminium base ...........................................................47
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COURSEWORK
ENGD3111
JANUARY 28, 2023
JOHNSON AKANBI
De Montfort
P2591881
,Contents
Table of Figures................................................................................................................................. 2
Table of tables .................................................................................................................................. 4
Static structural analysis of a clevis assembly ................................................................................... 5
Intoduction/ Back ground .............................................................................................................. 5
Objectives/Aims ............................................................................................................................ 5
STRUCTUAL ANLYSIS ...................................................................................................................... 5
Mesh analysis brief .................................................................................................................... 7
Boundary conditions .................................................................................................................. 8
When pin is steel material ............................................................................................................. 9
When pin is copper material ........................................................................................................ 15
When pin is aluminium material .................................................................................................. 20
Discussion ................................................................................................................................... 25
Thermal analysis base of electric an electric kettle ......................................................................... 26
Introduction/Background ............................................................................................................ 26
Aims and objectives ..................................................................................................................... 26
Structural Analysis ....................................................................................................................... 27
Boundary conditions for Thermal state analysis ....................................................................... 28
When base of kettle is silver ........................................................................................................ 29
Transient thermal analysis ....................................................................................................... 34
When base kettle is copper material ............................................................................................ 36
Transient thermal copper ........................................................................................................ 40
When base of kettle of aluminium material ................................................................................. 41
Transient Analysis for Aluminium material ............................................................................... 46
Discussion ................................................................................................................................... 47
Conclusion ...................................................................................................................................... 48
References ...................................................................................................................................... 48
1|P a ge
,Table of Figures
Figure 1:Image showing the clevis assembly ...................................................................................................................... 5
Figure 2: showing the isometric view of the half clevis assembly ........................................................................................ 6
Figure 3: showing geometry on static structural analysis .................................................................................................... 6
Figure 4:image showing default mesh applied to the geometry .......................................................................................... 7
Figure 5: image showing half clevis assembly with element size of 4mm............................................................................. 8
Figure 6: Image showing boundary conditions ................................................................................................................... 8
Figure 7: Image showing boundary condition for the geometry .......................................................................................... 9
Figure 8: Image showing the properties of carbon steel 1020 ............................................................................................10
Figure 9: showing the assigned materials of the components ............................................................................................11
Figure 10: Showing the undeformed(transparent) and deformed clevis assembly when pressure load is applied when pin is
carbon material. ..............................................................................................................................................................11
Figure 11: Showing the results for total deformation with default mesh applied (15.2mm) for when the material of the pin
is steel .............................................................................................................................................................................12
Figure 12: image showing total deformation analysis of clevis assembly with average element size of 4mm when material of
the pin is steel .................................................................................................................................................................12
Figure 13: image showing stress analysis of the clevis assembly with 15.2mm(default) element size and multizone mesh for
pin when material is steel ................................................................................................................................................13
Figure 14: image showing stress analysis of the clevis assembly with 4mm element size and multizone mesh for pin when
material is steel ...............................................................................................................................................................14
Figure 15:image showing safety factor of clevis assembly for 15.2mm mesh when material of pin is steel ..........................14
Figure 16: image showing safety factor of clevis assembly when pin is steel material with mesh 4mm ...............................15
Figure 17: showing the designated materials assigned to the components copper C12200 ................................................16
Figure 18: Showing the undeformed and deformed clevis assembly with material of pin copper 12200 (note scale is 96 auto
scale) ...............................................................................................................................................................................16
Figure 19: Showing the results for total deformation with default mesh applied (15.2mm) for when the material of the pin
is copper..........................................................................................................................................................................17
Figure 20: image showing total deformation when pin is Copper 12200 with mesh 4mm ...................................................17
Figure 21: image showing stress when pin is copper 12200 with default mesh...................................................................18
Figure 22: Image showing stress when pin is copper 12200 and mesh 4mm ......................................................................19
Figure 23: Showing the results for Safety factor with 4mm mesh applied for when the material of the pin is copper ..........20
Figure 24: showing the material assignment for different compont of the clevis assembly .................................................21
Figure 25: Showing the undeformed(transparent) and deformed clevis assembly when pressure load is applied when pin is
Aluminium material. ........................................................................................................................................................21
Figure 26: Showing the results for total deformation with default mesh applied (15.2mm) for when the material of the pin
is pure Aluminum.............................................................................................................................................................22
Figure 27: Showing the results for total deformation with 4mm mesh applied (15.2mm) for when the material of the pin is
pure Aluminium ...............................................................................................................................................................22
Figure 28: image showing stress concentration when material of pin is Aluminum with default mesh ................................23
Figure 29: image showing stress concentration when material of pin is pure aluminum wish a mesh size of 4mm ..............23
Figure 30 showing saftey factor when pin material is aluminum with default mesh size .....................................................24
Figure 31: showing the safety factor when pin material is aluminum with mesh of 4mm ...................................................25
Figure 32: showing the bottom base of the kettle Figure 33: showing the top base of the kettle .....................27
Figure 34: image showing kettle base with heated elemnt on geometry ............................................................................27
Figure 35:image showing convection applied to the kettle base ........................................................................................28
Figure 36: Showing heat flux applied through the heating element ...................................................................................28
Figure 37: isometric view of the kettle base and showing the direction of the axis .............................................................29
Figure 38: image showing the material assignments .........................................................................................................30
Figure 39: back view of total heat flux of kettle base when mesh is default silver material .................................................30
Figure 40:image showing the total heat flux of the kettle base when heat flux is applied to the heating element, front view
........................................................................................................................................................................................30
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, Figure 41: image showing the total heat flux of the kettle base when heat flux is applied to the heating element with
element size 4mm, front view silver material ....................................................................................................................31
Figure 42:back view of total heat flux when material of kettle base is pure silver 4mm element size ..................................31
Figure 43: image showing the Directional heat flux (in the z axis) of the kettle base when heat flux is applied to the heating
element , front view.........................................................................................................................................................31
Figure 44:back view .........................................................................................................................................................31
Figure 45: image showing the Directional heat flux (in the z axis) of the kettle base when heat flux is applied to the heating
element , front view with mesh 4mm ...............................................................................................................................32
Figure 46:back view of direction heat flux copper C10100 with mesh 4mm .......................................................................32
Figure 47: image showing the temperature of the kettle base when base material is silver ................................................32
Figure 48:back view of kettle base when base material is silver temperature .....................................................................32
Figure 49: image showing the back view of the kettle base when mesh is 4mm .................................................................33
Figure 50: showing temperetaure distrubution of kettle base whenmaterial is pure silver and mesh is 4mm ......................33
Figure 51: showing the trnsiant thermal analysis...............................................................................................................34
Figure 52: transient thermal analysis for silver material total heat flux ..............................................................................34
Figure 53:showing transient thermal for silver directional heat flux ...................................................................................35
Figure 54: showing transient thermal analysis for temperature .........................................................................................35
Figure 55: showing the heated element and base material assignement............................................................................36
Figure 56:showing the heated element view back view when kettle base is copper material default mesh. ........................37
Figure 57: total heat flux for copper C10100 mesh size is default.......................................................................................37
Figure 58: showing the total heat flux for copper material when mesh is 4mm ..................................................................37
Figure 59: back view of kettle base copper material when mesh is 4 mm...........................................................................37
Figure 60:back view of copper material when mesh is default and directionaal heat flux ...................................................38
Figure 61: directional heat flux for copper material when mesh is default .........................................................................38
Figure 62: back view of the kettle base when material is copper with mesh of 4mm showin the directional heat fluc .........38
Figure 63: front view of the kettle base when material is copper with mesh of 4mm to find the directional heat flux. ........38
Figure 64: showing back view of the the kettle base when material is copper default mesh for temperature readings ........39
Figure 65:showing the temperature results when the material is copper with default mesh front view ..............................39
Figure 66: showing back view of the the kettle base when material is copper 4mm mesh for temperature readings ...........39
Figure 67: showing the temperature results when the material is copper with 4mm mesh front view ................................39
Figure 68: transient thermal analysis for copper base total heat flux .................................................................................40
Figure 69:showing transient thermal analysis for copper material directional heat flux ......................................................40
Figure 70: showing transient thermal analysis for temperature for copper base ................................................................41
Figure 71: showing the assigned material alluminium alloy to the heated elelment ...........................................................42
Figure 72:back view of aluminium assighed kettle base for the total heat flux default mesh ..............................................43
Figure 73: showing the kettle base made out of aluminium when mesh size is default and showing total heat flux.............43
Figure 74: showing the total heat flux when kettle base is alluminium and element size is 4mm ........................................43
Figure 75: showing the back view of the alluminium kettle base of total heat flux with mesh of 4mm ................................43
Figure 76:showing kettle base made out of aluminium when mesh size is default and showing directional heat flux ..........44
Figure 77: showing the back view of the aluminium kettle base of directional heat flux with default mesh .........................44
Figure 78: showing the back view of the aluminium kettle base of directional heat flux with default mesh.........................44
Figure 79: showing kettle base made out of aluminium when mesh size is 4mm and showing directional heat flux ............44
Figure 80: showing back view of the the kettle base when material is aluminum default mesh for temperature readings ...45
Figure 81: showing the temperature results when the material is Alumnium with default mesh front view ........................45
Figure 82: showing the temperature results when the material is Aluminium with 4mm mesh front view ..........................45
Figure 83: showing back view of the the kettle base when material is aluminium 4mm mesh for temperature readings .....45
Figure 84: transient thermal analysis for Aluminium base total heat flux ...........................................................................46
Figure 85: showing transient thermal for Aluminium directional heat flux .........................................................................46
Figure 86: showing transient thermal analysis for temperature for aluminium base ...........................................................47
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