1. 1 MME3360b Assignment 04 10% of final mark 6 problems, each worth 16.7% of assignment mark Due April 9 th, 2012

2. 2 PROBLEM 1NONLINEAR GEOMETRY ANALYSIS LINK02.SLDPRT (book chapter 15) Note: Complete exercise LINK02.SLDPRT (chapter 15) before working on this problem

3. 3 PROBLEM 1NONLINEAR GEOMETRY ANALYSIS Procedure Using loads and restraints from the book run linear and nonlinear solution to find: Horizontal and vertical reactions components in the supporting hinges. Distribution of SX stress across the link thickness Deliverables Electronic Saved model as a4_problem1.sldprt with two studies defined and “ready to run”: 01 linear, 02 nonlinear. All plots should be defined, graph of SX stress should be defined Paper Discuss differences, between linear and nonlinear solutions, discus what is the source of nonlinear behavior. Include the following in the discussion: Graphs of distribution of SX stress across the link thickness in both solutions Screen shots with reaction forces in both solutions

4. 4 PROBLEM 2NON LINEAR MATERIAL ANALYSIS Load = ? add a split face to apply this load Fixed restraint Find the maximum load that beam can hold before developing plastic hinge Use part from BIMETAL assembly chapter 11. Note: Complete exercise BRACKET NL in chapter 15 before starting this problem Material 1060 Alloy type: elastic-perfectly plastic

5. 5 PROBLEM 2NON LINEAR MATERIAL ANALYSIS Procedure Run linear analysis to find load causing first sign of yielding Run nonlinear analysis (10 steps) at 250% of load found in linear analysis. Observe at which time step solution fails. Deliverables Electronic Saved model as a4_problem2.sldprt with two studies defined and “ready to run”: 01 linear, 02 nonlinear Plot of von Mises stress for the last completed step in nonlinear analysis. Nonlinear study should be saved with the load from the last successfully performed step. Paper Discussion of material type used and the source(s) of nonlinear behavior present in this problem. Discussion of method used to find the maximum load the beam will take before structural collapse Explanation why nonlinear solution fails at certain load step

6. 6 A common arrangement for heating a large area is to move warm air through rectangular ducts below the surface. The ducts are square and located midway between the top and bottom surfaces that are exposed to room and insulated, respectively. For the condition when the floor and duct temperatures are 30ºC and 80ºC respectively and the thermal conductivity of concrete is 1.4W/mK, find the heat rate from each duct., per unit length of duct. L=0.150m. Solve the problem twice: 1. Use 3D model 2. Use 2D model Problem 4.56 p 245 Fundamentals and Heat and Mass Transfer Incropera, DeWitt, Bergman, Lavine 6 th edition Note: Complete exercise CROSSING PIPES in chapter 07 before working on this problem. PROBLEM 3STEADY STATE 2D THERMAL ANALYSIS

7. 7 3D model CAD model2D analysis model PROBLEM 3STEADY STATE 2D THERMAL ANALYSIS

8. 8 Procedure Build SW model, define custom material with 1.4W/mK thermal conductivity. 1. Define thermal FEA study using 3D representation, conduct steady state thermal analysis 2. Define thermal FEA study using 2D representation, conduct steady state thermal analysis Compare results of p1. and p2. Deliverables Electronic Saved model as a4_problem3.sldprt with two studies defined and “ready to run”: 01 3D, 02 2D Each study should have temperature and heat flux plots Paper Discussion of heat transfer mechanisms present in this problem. Temperature and heat flux plots from both studies (four plots in total) PROBLEM 3STEADY STATE 2D THERMAL ANALYSIS

9. 9 PROBLEM 4TRANSIENT THERMAL ANALYSIS Furnace cross-section. 18m The operation manager for a metals processing plant anticipates the need to repair a large furnace and has come to you for an estimate of the time required for the furnace to cool to a safe working temperature. The furnace is cubical with 16m interior dimension and 1m thick walls for which ρ=2600kg/m3, c=960J/(kg*K) and k=1W/(m*K) (use Ceramic Porcelain material). The operating temperature of the furnace is 900C and the outer surface experiences convection with ambient air at 25C and a convection coefficient 20W/(m2K). 1. Find time required to the inner surface of the furnace to cool to a safe working temperature 35C 2. Anxious to reduce the furnace downtime, the operations manager also wants to know what effect circulating ambient air through the furnace would have on the cool –down period. Assume equivalent convection conditions for the inner and outer surfaces. Problem 5.128 p 346 Fundamentals and Heat and Mass Transfer Incropera, DeWitt, Bergman, Lavine 6 th edition Note: Complete exercise HEAT SINK in chapter 08 before working on this problem

10. 10 PROBLEM 4TRANSIENT THERMAL ANALYSIS Procedure Build this part in SW, take advantage of triple symmetry to simplify the analysis model. Use ceramic porcelain material. Probe temperature approximately in the middle of the inside wall. 1.Run steady stated thermal analysis to find the temperatures, find the total heat loss at the operating temperature 2.Run transient thermal analysis with initial temperatures from p1 until the interior temperature drops below 35ºC 3.Repeat p.2 with furnace door open Deliverables Electronic Model saved as a4_problem4.SLDPRT saved with 3 thermal analysis studies: 01 steady state with temperature and heat flux plot, total heat window (list selected) 02 transient door closed with inside temperature time history graph 03 transient door opened with inside temperature time history graph Paper Discussion of heat transfer mechanisms present in this problem. Temperature, heat flux plots and total heat from study 01, time history graphs from study 02 and 03

11. 11 PROBLEM 5CRANE DESIGN PROBLEM 100lbf One sided fillet weld 3/16” One sided fillet weld 1/8” Post is modeled as surface, Post thickness 0.5” Calculate FOS to yield, calculate BLF Perform weld check, modify welds if necessary Complete exercise TUBE WELDMENT (chapter 21) before working on this exercise

12. 12 Procedure 1. Use the existing configuration to find FOS to yield and BLF 2. Create a new configuration where post is modeled as surface, model welds and perform weld check Weld strength 13200psi, one sided fillet weld. Select weld size that will pass the check, it must be the same for both weld It must not be larger than 60% of wall thickness. Deliverables Electronic Model saved as a5_problem5.SLDPRT with three studies: 01 static with FOS plot 02 buckling with BLF plot 03 static in new configuration with post modeled as surface Paper PROBLEM 5CRANE DESIGN PROBLEM

13. 13 PROBLEM 6CIRCULAR (CYCLIC) SYMMETRY Build a CAD model (any model will do) with circular symmetry (but not with a mirror symmetry). Model should have two configurations: 01 full model 02 section Define loads and restraints, solve full model then section model for displacements and stresses using two studies 01 full model 02 section Deliverables Electronic Model saved as a6_problem5.SLDPRT with two studies: 01 full model 02 section Paper Description of circular symmetry boundary condition, comparison of results from two studies Complete exercise CIRCULAR (chapter 21) before working on this exercise