Question

1) (50 pts) On a structural steel I profile beam a distributed load and M moment is applied as shown in the figure. According to given parameters below, please solve the problem with finite element method (ANSYS Student-Structural Module) to determine; a) the maximum bending in mm, b) the average shear stress, c) distributed load plot (F- x plot), d) equivalent stress contour plot, e) total deformation contour plot. (Ebeam=200 GPa, Wo=10 N/m, L=1 m., M=254 N.m, h=154 mm., b=77 mm., s=6.16 mm., t=7.7|| mm.) to w=100 wo(1+3) + B

Answer 1

Maximum Bending = 1.55 mm

Avg. Shear Stress= 107 MPa
Min ANSYS R15.0 MP: H=154 - Mechanical LANSYS Multiphysics] File Edit View Units Tools Help -+! Solve - 7/Show Errors 7/ Review Model (Beta) 2 A Worksheets P** - SQQQQQQ280 Show Vertices Wireframe Show Mesh M Random Colors Annotation Preferences II Edge Coloring Aklak H H Thicken Annotations Environment Inertial - Loads - Supports - Conditions - Direct FE E Variable Data / Joint Configure Configure Assemble Set Revert Outline 7 P: H-154 Filter Name Pressure Project Time: 1.5 Model (P4) Unit: Pa + Geometry 6/27/2020 9:30 AM Coordinate Systems Variable Load: Pressure + Corrections 20 Max Mesh 18.8889 Static Structural (P5) 17.7778 Analysis Settings 16.5667 Fixed Support Pressure 15.5556 Moment 144604 Solution (P6) 13.3333 Solution Information 12 2222 Equivalent Stress 11.1111 Total Deformation 10 Min Maximum Shear Stress Max 0.000 0.200 0.400 m 0.100 0.300 Geometry Print Preview. Report Preview/ Graph - A Details of "Pressure Scope Scoping Method Geometry Selection Geometry 2 Faces Definition ID Betal Type Pressure Define By Normal To Magnitude Tabular Data Suppressed No Tabular Data Independent Variable X Coordinate System Global Coordinate System Graph Controls | X-Axis X 20 2.17.5 Pressure (Pal 15 12.5 10 0.65 -0.5 -0.25 + Tabular Data X[m] Pressure (Pa] 1 -0.5 10. 2 -0.4 10.1 3 -0.3 10.4 4 -0.2 10.9 5 -0.1 11.6 60. 12.5 7 0.1 13.6 8 0.2 14.9 9 0.3 16.4 10 04 18.1 11 0.5 20. Metric im kg, NV, A) Degrees rad/s Celsius 9:30 AM 6/27/2020 0. 0.25 0.65 0.5 Messages Graph O No Messages No Selection Type here to search o AM

ANSYS R15.0 MP: H=154 - Mechanical LANSYS Multiphysics] File Edit View Units Tools Help -+! Solve - 7/Show Errors 7/ Review Model (Beta) taka Worksheet P** - SQQQQQQ280 Show Vertices Wireframe Show Mesh M Random Colors Annotation Preferences Edge Coloring H - Thicken Annotations Environment Inertial Loads - Supports - Conditions - Direct FE - E Joint Configure Configure Assemble Set Revert Outline 1 P: H-154 Filter Name Moment Project Time: 1.5 Model (P4) 6/27/2020 9:30 AM + Geometry Coordinate Systems Moment 254 Nm + Connections Components: -254,0,0 Nm Mesh Static Structural (P5) Analysis Settings Fixed Support Pressure 8. Moment Solution (P6) Solution Information Equivalent Stress Total Deformation Maximum Shear Stress T 0.000 0.200 0.400m) 0.100 0.300 Geometry Print Preview, Report Preview/ Graph 1 1. Details of "Moment Scope Scoping Method Geometry Selection Geometry 1 Edge Definition ID (Betal 69 Type Moment Define B Components Coordinate System Global Coordinate System X Component -254. N-m framped Y Component O. N.m framped Z Component 0. N.m Tramped) Suppressed No Behavior Deformable Advanced 0. 1 Tabular Data Steps Time [3]X[Nm]Y[Nm]Z [N-m) 11 0. 0 0. 0. 21 1. -254 0. 0 32 2 2254 = 0. = 0 43 3. = -254 = 0. 54 -254 0. -0. 65 5. = 254 = 0. -0. -120 -200 -254, 1. 2. 2 5 Messages Graph O No Messages No Selection Metric im, kq, N, SV, A) Degrees rad/s Celsius 931 AM 6/27/2020 Type here to search O

1900 1 ANSYS R15.0 MP: H=154 - Mechanical IANSYS Multiphysics! File Edit View Units Tools Help -+! Solve - 7/Show Errors 7/ Review Model (Beta) 1 A Worksheet * Wola SQQQQQQ @BO Show Vertices Wireframe Show Mesh Random Colors Annotation Preferences Il Edge Coloring bokhkkHH Thicken Annotations Result 1.0 (True Scale) HINO 09) Probe Display All Bodies Joint Configure Configure Assemble Set Revert Outline P: H-154 Filter Name Equivalent Stress Project Type: Equivalent (von Miss Model (P4) Unit: MPa + Geometry Time: 5 Coordinate Systems 6/27/2020 9:31 AM + Corrections Mesh 187.02 Max Static Structural (P5) 166.25 Analysis Settings 145.47 Fixed Support H 124.69 Moment H103.91 83.137 Solution (P6) Solution Information 62.36 Equivalent Stress 41.583 Total Deformation 20.806 Maximum Shear Stress 0.028547 Min ਜੋ : (ਲੱਗ Pressure T 0.00 200.00 400.00 (mm) 100.00 300.00 Geometry Print Preview, Report Preview/ Graph Animation - ID 10 Frames - A - 2 Sec (Autol 3 Cycles 5. Details of 'Equivalent Stress Scope Scoping Method Geometry Selection Geometry All Bodies Shell Top Bottom Layer Entire Section Definition Type Equivalent von Mises) Stress By Time Display Time Last Calculate Time History Yes Identifier Suppressed No Integration Point Results Display Option Averaged Average Across Bodies No Results Minimum 285472-002 MPa 187.02 75. 8.0425-4 1 Tabular Data Times Minimum [MPa Maximum MP3 1 3.3333e-002 80125e-004 6.2274 2 6.6667e-002 1.6009-003 12.455 30.1 2.3918e-003 18.684 4 0.13333 3.1789e-003 24.912 5 0.16667 3.9644e-003 31.142 6 0.2 4.7503e-003 37.371 7 0.23333 5.5385e-003 43.601 8 0.26667 6.3313-003 9 0.3 7.1305e-003 56.063 10 0.33333 7.9382e-003 62.295 11 0.36667 8.7565e-003 68.527 0. 1. 2. 4. 5. 2 4 5 Messages Graph O No Messages No Selection Metric (mm, kq. Ns, mV,mA) Degrees rad/s Celsius 931 AM 5/27/2020 Type here to search O AM

ANSYS R15.0 MP: H=154 - Mechanical IANSYS Multiphysics! File Edit View Units Tools Help -+! Solve - 7/Show Errors 7/ Review Model (Beta) to A Worksheet * Wola SQQQQQQ @BO Show Vertices Wireframe Show Mesh M Random Colors Annotation Preferences Edge Coloring H - Thicken Annotations Result 1.0 (True Scale) ---> Probe Display All Bodies Joint Configure Configure Assemble Set Revert Outline P: H-154 Filter Name Total Deformation Project Type: Total Deformation Model (P4) Unit: mm + Geometry Coordinate Systems 6/27/2020 9:31 AM + Connections Mesh 1.5479 Max Static Structural (PS) 1.3759 Analysis Settings 1.2039 Fixed Support H 1.0319 H 0.85993 Moment 0.68794 Solution (P6) Solution Information 0.51596 Equivalent Stress 0.34397 Total Deformation 0.17199 Maximum Shear Stress 0 Min Pressure I 0.00 200.00 400.00 (mm) 100.00 300.00 Geometry Print Preview, Report Preview Graph Animation m 10 Frames - A - 2 Sec (Autol Times 3 Cycles 5. Details of "Total Deformation Scope Scoping Method Geometry Selection Geometry All Bodies Definition Type Total Deformation By Time Display Time Last Calculate Time History Yes Identifier Suppressed No Results Minimum 0 mm Maximum 1.5479 mm Minimum Value Over Time Minimum 0.mm Maximum 0. mm Maximum Value Over Time 1.5479 1 0.75 0. 0. 1. 4. 5. 1 Tabular Data Minimum (mm) Maximum (mm) 1 3.3333e-002 0. 5.1592e-002 2 6.6667e-002 0. 0.10319 30.1 0. 0.15479 4 0.13333 0. 0.20638 5 0.16667 0. 0.25798 60.2 0. 0.30958 7 0.23333 0. 0.36117 8 0.26667 0. 0.41277 9 0.3 0. 0.46437 10 0.33333 0. 0.51597 11 0.36667 0. 0.56756 Metric imm, kq, NmV,mA) Degrees rad/s Celsius 931 AM 5/27/2020 [s] 1 2 4 5 Messages Graph No Messages No Selection Type here to search O

A MP: H=154 - Mechanical IANSYS Multiphysics! File Edit View Units Tools Help -+! Solve - 7/Show Errors 7/ Review Model (Beta) 1 Worksheet * Wola SQQQQQQ @BO Show Vertices Wireframe Show Mesh Random Colors Annotation Preferences Il Edge Coloring bokhkkHH Thicken Annotations Result 1.0 (True Scale) --- BOD> Probe Display All Bodies Joint Configure Configure Assemble Set Revert Outline P: H-154 Maximum Shear Stress Type: Maximum Shear Stress Unit: MPa Time: 5 6/27/2020 9:31 AM Filter Name Project Model (P4) + Geometry Coordinate Systems + Connections Mesh Static Structural (PS) Analysis Settings Fixed Support ANSYS R15.0 Pressure Moment Solution (P6) Solution Information Equivalent Stress Total Deformation Maximum Shear Stresa 107.39 Max 95.46 99.529 H 71.599 H59.669 47.738 35.808 23.877 11.947 0.016-409 Min T A 0.00 200.00 400.00 (mm) 100.00 300.00 Geometry Print Preview, Report Preview/ Graph Animation : 10 Frames - A - 2 Sec (Autol 3 Cycles 5. Details of "Maximum Shear Stress" Scope Scoping Method Geometry Selection Geometry All Bodies Shell Top/Bottom Layer Entire Section Definition Type Maximum Shear Stress By Time Display Time Last Calculate Time History Yes Identifier Suppressed No Integration Point Results Display Option Averaged Average Across Bodies No Results Minimum 1.54092-002 MPa 107.39 50. 4.54331-4 0. 2. 5. 1 Tabular Data Times Minimum (MPa Maximum MPa] 1 3.3333e-002 4.6433-004 3.5759 2 6.6667e-002 9.2426e-004 7.1521 30.1 1.3808-003 10.729 4 0.13333 1.8349e-003 14.305 5 0.16667 2.2878e-003 17.882 6 0.2 2.7405e-003 21.45 7 0.23333 3.194e-003 25.037 8 0.26667 3.6494e-003 28.615 9 0.3 4.108e-003 32.193 10 0.33333 4.5707e-003 35.771 11 0.36667 5.0387e-003 39.35 Metric (mm, kq, N. mV,mA) Degrees rad/s Celsius 931 AM 5/27/2020 1 2 3 Messages Graph No Messages No Selection Type here to search O AM