1 classes #5, 6, 7, 8 civil engineering materials – cive 2110 stress concentration fall 2010 dr....

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1 Classes #5, 6, 7, 8 Classes #5, 6, 7, 8 Civil Engineering Materials – Civil Engineering Materials – CIVE 2110 CIVE 2110 Stress Concentration Stress Concentration Fall 2010 Fall 2010 Dr. Gupta Dr. Gupta Dr. Pickett Dr. Pickett

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Page 1: 1 Classes #5, 6, 7, 8 Civil Engineering Materials – CIVE 2110 Stress Concentration Fall 2010 Dr. Gupta Dr. Pickett

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Classes #5, 6, 7, 8 Classes #5, 6, 7, 8 Civil Engineering Materials – CIVE 2110Civil Engineering Materials – CIVE 2110

Stress ConcentrationStress Concentration

Fall 2010Fall 2010

Dr. GuptaDr. Gupta

Dr. PickettDr. Pickett

Page 2: 1 Classes #5, 6, 7, 8 Civil Engineering Materials – CIVE 2110 Stress Concentration Fall 2010 Dr. Gupta Dr. Pickett

Stress ConcentrationComplex stress distributions

occur at locations of ;

- Concentrated loading

- Abrupt changes in member cross section

MAX Normal Stress

will occur at

Smallest cross sectional area.

K = Stress Concentration factor

σaverage=P/Asmallest cross section

averageMAX K

Page 3: 1 Classes #5, 6, 7, 8 Civil Engineering Materials – CIVE 2110 Stress Concentration Fall 2010 Dr. Gupta Dr. Pickett

Stress ConcentrationComplex stress distributions

occur at locations of;

- Concentrated loading

- Abrupt changes in member cross section

MAX Normal Stress

will occur at

Smallest cross sectional area.

K = Stress Concentration factor

σaverage=P/Asmallest cross section

averageMAX K

Page 4: 1 Classes #5, 6, 7, 8 Civil Engineering Materials – CIVE 2110 Stress Concentration Fall 2010 Dr. Gupta Dr. Pickett

Stress ConcentrationMAX Normal Stress will occur at

Smallest cross sectional area.

K = Stress Concentration factor

depends on – member geometry

- type of discontinuity

σaverage=P/Asmallest cross section

averageMAX K

Page 5: 1 Classes #5, 6, 7, 8 Civil Engineering Materials – CIVE 2110 Stress Concentration Fall 2010 Dr. Gupta Dr. Pickett

Stress ConcentrationMAX Normal Stress will occur at

Smallest cross sectional area.

K = Stress Concentration factor

depends on – member geometry

- type of discontinuity

σaverage=P/Asmallest cross section

averageMAX K

Page 6: 1 Classes #5, 6, 7, 8 Civil Engineering Materials – CIVE 2110 Stress Concentration Fall 2010 Dr. Gupta Dr. Pickett

Stress Concentration -Problem: # 4-88-Pg. 180-Hibbeler, 7th edition

Page 7: 1 Classes #5, 6, 7, 8 Civil Engineering Materials – CIVE 2110 Stress Concentration Fall 2010 Dr. Gupta Dr. Pickett

Stress Concentration -Problem: # 4-95-Pg. 181-Hibbeler, 7th edition