MME3360b
Assignment 04
10% of final mark
6 problems, each worth 16.7% of assignment mark
Due April 9th , 2012
1
PROBLEM 1
NONLINEAR GEOMETRY ANALYSIS
LINK02.SLDPRT (book chapter 15)
Note:
Complete exercise LINK02.SLDPRT (chapter 15) before working on this problem
2
PROBLEM 1
NONLINEAR 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
3
PROBLEM 2
Fixed
restraint
NON LINEAR MATERIAL ANALYSIS
Material 1060 Alloy
type: elastic-perfectly plastic
Load = ?
add a split face to
apply this load
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
4
PROBLEM 2
NON 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
5
PROBLEM 3
STEADY STATE 2D THERMAL ANALYSIS
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
6th edition
Note: Complete exercise CROSSING PIPES in
chapter 07 before working on this problem.
6
PROBLEM 3
3D model CAD model
STEADY STATE 2D THERMAL ANALYSIS
2D analysis model
7
PROBLEM 3
STEADY STATE 2D THERMAL ANALYSIS
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)
8
PROBLEM 4
TRANSIENT THERMAL ANALYSIS
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).
18m
18m
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
18m
Furnace cross-section.
6th edition
Note: Complete exercise HEAT SINK in chapter 08 before working
on this problem
9
PROBLEM 4
TRANSIENT 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
10
PROBLEM 5
CRANE DESIGN PROBLEM
One sided fillet
weld 1/8”
100lbf
Post is modeled as surface,
Post thickness 0.5”
One sided fillet
weld 3/16”
Calculate FOS to yield, calculate BLF
Perform weld check, modify welds if necessary
Complete exercise TUBE WELDMENT (chapter 21) before working on this exercise
11
PROBLEM 5
CRANE DESIGN PROBLEM
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
12
PROBLEM 6
CIRCULAR (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
13