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FCP Short Course Fracture Case Studies Stephen D. Downing Mechanical Science and Engineering © 2001 - 2015 University of Illinois Board of Trustees, All Rights Reserved

2 FCP Fracture Case Studies

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Page 1: 2 FCP Fracture Case Studies

FCP Short CourseFracture Case Studies

Stephen D. DowningMechanical Science and Engineering

© 2001 - 2015 University of Illinois Board of Trustees, All Rights Reserved

Page 2: 2 FCP Fracture Case Studies

ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 1 of 69

Agenda

Pipe Wrench Failure Truck Steering Shaft Ammonia Pressure Vessel Silver Bridge

Page 3: 2 FCP Fracture Case Studies

ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 2 of 69

Chain Wrenches

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 3 of 69

Chain Wrench In Use

* D.R.H Jones, Material Failure Analysis, Case Studies and Design Implications

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 4 of 69

Info

Length: 1.5 meters Weight: 25 kilograms Pipe Diameter: 160 mm Broke during use Injured Worker Identify Cause Defective Part? User Overload?

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 5 of 69

Dimensions

* D.R.H Jones, Material Failure Analysis, Case Studies and Design Implications

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 6 of 69

Dimensions

* D.R.H Jones, Material Failure Analysis, Case Studies and Design Implications

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 7 of 69

Failures – Link and Pin

* D.R.H Jones, Material Failure Analysis, Case Studies and Design Implications

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 8 of 69

Failure - Handle

A B

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 9 of 69

Force Equations

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Bending the Handle

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 11 of 69

Bending the Handle

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 12 of 69

Shearing the Rivet

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 13 of 69

Fracturing the Link

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 14 of 69

Diagnosis

Defective? No defects seen in fracture micrographs Link hardness of 250 HV consistent with good

quench and temper Overload? Force (5.15 kN) to bend the handle 5.8 times

200 lb man Double handle length and stand 3 men on the

end Slip long pipe over handle to increase leverage

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 15 of 69

Agenda

Pipe Wrench Failure Truck Steering Shaft Ammonia Pressure Vessel Silver Bridge

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 16 of 69

Truck Steering Shaft Failure

* D.R.H Jones, Material Failure Analysis, Case Studies and Design Implications

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 17 of 69

Question

Did shaft failure cause accident?

or

Did accident cause shaft failure?

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 18 of 69

Steering Shaft Failures

* D.R.H Jones, Material Failure Analysis, Case Studies and Design Implications

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 19 of 69

Deformed Splines

* D.R.H Jones, Material Failure Analysis, Case Studies and Design Implications

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 20 of 69

Matching Fracture Surfaces

* D.R.H Jones, Material Failure Analysis, Case Studies and Design Implications

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 21 of 69

Shear Failure Surface

* D.R.H Jones, Material Failure Analysis, Case Studies and Design Implications

Magnification x170

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 22 of 69

Fibrous Tensile Fracture

* D.R.H Jones, Material Failure Analysis, Case Studies and Design Implications

Magnification x325

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 23 of 69

Polished Cross-Section

* D.R.H Jones, Material Failure Analysis, Case Studies and Design Implications

1.5 mm case

hardened

Etched 2% nital

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 24 of 69

Hardness vs. Radius

r(mm) HV σu(MPa) τu(MPa)

0 350 1120 700

10 360 1152 720

17.5 375 1200 750

22.5 400 1280 800

Case 880 2816 1760

u

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 25 of 69

Steering Shaft

Shear stress vs. radial distance from shaft center

* D.R.H Jones, Material Failure Analysis, Case Studies and Design Implications

curve fit

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 26 of 69

Steering Shaft

Calculating the torsional moment

* D.R.H Jones, Material Failure Analysis, Case Studies and Design Implications

T

τuu

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 27 of 69

Steering Shaft

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 28 of 69

Steering Shaft

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 29 of 69

Caused By Collision?

Steering Arm Force

Collision Force 4 g’s truck mass = 20 metric tonnes

F

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 30 of 69

Meet Material Specs?

Yield stress = 736 MPa minimumTensile strength = 1079 to 1324 MPa

Elongation = 8% minimum

Case hardness = 59 to 63 Rockwell C

Impact energy = 59 J/cm2 minimum

* D.R.H Jones, Material Failure Analysis, Case Studies and Design Implications

Nickel-chrome-moly steel

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 31 of 69

Spline Connections

Dimensions of the splined section

* D.R.H Jones, Material Failure Analysis, Case Studies and Design Implications

T

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 32 of 69

Spline Connections

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Agenda

Pipe Wrench Failure Truck Steering ShaftAmmonia Pressure Vessel Silver Bridge

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 34 of 69

Similar Tanker Truck

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 35 of 69

Vessel Construction~6 m

* D.R.H Jones, Material Failure Analysis, Case Studies and Design Implications

Weld between the shell and end cap of the pressure vessel

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 36 of 69

During Unloading

Fast fracture in circumferential weld End cap blown off (serious mayhem) Unloading (decanting) process Space above liquid is pressurized with

ammonia gas with compressor Pcompressor = 1.83 MPa Safety valve set at 2.07 MPa

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 37 of 69

Fracture

* D.R.H Jones, Material Failure Analysis, Case Studies and Design Implications

Geometry of the failure

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 38 of 69

Materials Data

y

u

f

o

712MPa833MPa22%

VH 280CVN 22lb ft 30J @ 34 C

o

oCVN 8lb ft 11J @ 34 CCVN 10lb ft 14J @ 3 C

o

o

VH 300 to 370CVN 2lb ft 3J @ 34 CCVN 5lb ft 5J @ 3 C

• ASTM A517 Grade E -HSLA steel• Samples cut from failed tank

Parent Plate

Weld Bead

HAZ

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 39 of 69

Stresses Acting on Crack

Thin-walled Pressure Vessel – Closed Ends

Hemispherical Cap

Axial Stress on Crack

* D.R.H Jones, Material Failure Analysis, Case Studies and Design Implications

Mismatch between shell and cap

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 40 of 69

Bending Stress

Hoop Stress

Radial Distortions - ε1

Shell

Cap

Mismatch

* D.R.H Jones, Material Failure Analysis, Case Studies and Design Implications

Mismatch between shell and cap

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 41 of 69

Stress State of Mismatch

Assume cap is infinitely stiff End of shell is subjected to

bending moment and shear force in addition to membrane stress.

Bending moment tries to open crack.

What does shear do?

* D.R.H Jones, Material Failure Analysis, Case Studies and Design Implications

All mismatch taken by shell

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 42 of 69

Effect of Shear

Roark

* D.R.H Jones, Material Failure Analysis, Case Studies and Design Implications

Shear force makes end of shell contract

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 43 of 69

Effect of Bending

Roark

* D.R.H Jones, Material Failure Analysis, Case Studies and Design Implications

Bending moment makes end of shell expand

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 44 of 69

Maximum Moment and Stress

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 45 of 69

Stress Intensity (Tension)

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 46 of 69

Stress Intensity (Bending)

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 47 of 69

Comments

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 48 of 69

Agenda

Pipe Wrench Failure Truck Steering Shaft Ammonia Pressure Vessel Silver Bridge

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 49 of 69

Silver Bridge

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 50 of 69

Statistics

Completed 19 May 1928 Connects

Huntington, VA to Middleport, OH Charleston, VA to Dayton, OH

Major east-west connection for US Route 35 Two lanes of automobile traffic 1750 feet in length Steel Eyebar Suspension Bridge Aluminum Paint (“Silver Bridge”)

A major east-west connection for US Route 35 connecting Charleston, WV and major cities in Ohio

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 51 of 69

Ohio River

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 52 of 69

4:58 PM December 15, 1967

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 53 of 69

Disaster

Second most deadly U.S. bridge disaster 64 hit the water 18 rescued 46 dead or missing 31 vehicles on the bridge

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 54 of 69

Wreckage

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Wreckage

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Wreckage

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 57 of 69

What’s Different About Silver Bridge?

First “eyebar” suspension bridge in the U.S. First bridge that used high-strength, heat-

treated carbon steel High Risk: new structure on a new scale,

using new materials.

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 58 of 69

Silver Bridge Collapse

Collapse, Wearne, P. TV Books, NY 1999

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 59 of 69

Source

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Cause of Failure

Bridge Design? Eyebar Manufacturing Quality? Material Choice?

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 61 of 69

Bridge Design at Fault?

Steel Eyebar Suspension Suspended “Bicycle Chain” Weakest Link, No Redundancy Cable Suspension has hundreds of links

Partially!

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Failed Eyebar

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Failure EvidenceJohn Bennet, US Bureau of Standards

“The Ohio River there is very heavily traveled so the U.S. Corps of Engineers had taken all the debris and just piled it on the shore – it was a terrific mess.”

“Fortunately, each piece had been photographed as they took it out.”

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Failure Evidence

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Photograph of Failed Eyebar 330John Bennet, US Bureau of Standards

“Looking at it, the fractures on the two sides were completely different.

“One side was very straight, almost like a saw cut.

“The other side was extensively deformed, the metal bent and the paint chipped off.

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 66 of 69

Eyebar Loading

12” wide2” thickness

12

6

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 67 of 69

Eyebar 330 Failure Sketch

12” wide2” thickness

12

6

Brittle Appearance

Ductile Appearance

1/8” corroded crack

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 68 of 69

Crack on Eyebar 330

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Conditions of Failure

Crack formed by original forging operation Quenched and tempered steel Stress corrosion cracking 32oF ambient temperature

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 70 of 69

Assignment

Make an estimate of the maximum allowable flaw size in the eyebar.

)lbft()CVN(2)inpsi(E

K 232

IC

)lbft(CVN5.15)inksi(KIC

)lbft(CVN35.9)inksi(K 65.1IC

Barsom-Rolfe

Corten-Sailors

Roberts-Newton

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 71 of 69

Material Properties

u = 100 ksiy = 75 ksi = 29,000 ksi

CVN = 2.6 ft-lb at 32° F

CVN = 8.6 ft-lb at 165° F

Working stress 50 ksi

Charpy V-notch Tests

ICaK a Fb

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 72 of 69

Estimate KIC

FatinksilbftinCVNEK oIC 326.15)(2 2

3

FatinksilbftCVNinksiK oIC 320.25)(5.15)(

FatinksilbftCVNinksiK oIC 322.45)(35.9)( 65.1

Barsom-Rolfe

Corten-Sailors

Roberts-Newton

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 73 of 69

Assume Flaw Geometry

2

2

2K (1.12) a

a 2F (1.12) 0.799b

Two free edgesSemicircular shape

Corner crack

a a

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ME 431 – Case Study 3 © 2015 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 74 of 69

Critical Crack Size (Best Case)

2IC

criticalapplied

K1a0.799

= 0.045 in (using Barsom-Rolfe KIC at 32oF)

= 0.407 in (using Roberts-Newton KIC at 32oF)= 0.125 in (using Corten-Sailors KIC at 32oF)

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Produced by theCollege of Engineering

University of Illinois at Urbana-Champaign

© 2001 - 2015 University of Illinois Board of Trustees, All Rights Reserved

ME 431Failure Analysis

of Mechanical Components