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MME3360b

Assignment 04

10% of final mark

6 problems, each worth 16.7% of assignment mark

Due April 9th , 2012

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PROBLEM 1 NONLINEAR GEOMETRY ANALYSIS

LINK02.SLDPRT (book chapter 15)

Note:

Complete exercise LINK02.SLDPRT (chapter 15) before working on this problem

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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

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PROBLEM 2 NON 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 Alloytype: elastic-perfectly plastic

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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

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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 245Fundamentals and Heat and Mass TransferIncropera, DeWitt, Bergman, Lavine

6th edition

Note: Complete exercise CROSSING PIPES in chapter 07 before working on this problem.

PROBLEM 3 STEADY STATE 2D THERMAL ANALYSIS

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3D model CAD model 2D analysis model

PROBLEM 3 STEADY STATE 2D THERMAL ANALYSIS

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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 3 STEADY STATE 2D THERMAL ANALYSIS

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PROBLEM 4 TRANSIENT THERMAL ANALYSIS

Furnace cross-section.

18m

18m

18mThe 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 346Fundamentals and Heat and Mass TransferIncropera, DeWitt, Bergman, Lavine

6th edition

Note: Complete exercise HEAT SINK in chapter 08 before working on this problem

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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

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PROBLEM 5 CRANE 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

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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 5 CRANE DESIGN PROBLEM

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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