jiangyu li, university of washington lecture 16 torsion mechanical behavior of materials section...

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Jiangyu Li, University of Washington Lecture 16 Torsion Mechanical Behavior of Materials Section 4.9.3-4.9.4 Discussion on the torsion test posted online Jiangyu Li University of Washington Mechanics of Materials Lab

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Page 1: Jiangyu Li, University of Washington Lecture 16 Torsion Mechanical Behavior of Materials Section 4.9.3-4.9.4 Discussion on the torsion test posted online

Jiangyu Li, University of Washington

Lecture 16Torsion

Mechanical Behavior of Materials Section 4.9.3-4.9.4Discussion on the torsion test posted online

Jiangyu LiUniversity of Washington

Mechanics of Materials Lab

Page 2: Jiangyu Li, University of Washington Lecture 16 Torsion Mechanical Behavior of Materials Section 4.9.3-4.9.4 Discussion on the torsion test posted online

Jiangyu Li, University of Washington

©2001 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license.

Fig. 3-3 Deformations of a circular bar in pure torsion.

Angle of Twist

Page 3: Jiangyu Li, University of Washington Lecture 16 Torsion Mechanical Behavior of Materials Section 4.9.3-4.9.4 Discussion on the torsion test posted online

Jiangyu Li, University of Washington

Fig. 3-4 Deformation of an element of length dx cut from a bar in torsion.

©2001 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license.

Page 4: Jiangyu Li, University of Washington Lecture 16 Torsion Mechanical Behavior of Materials Section 4.9.3-4.9.4 Discussion on the torsion test posted online

Jiangyu Li, University of Washington

©2001 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license.

Fig. 3-5 Shear strains in a circular tube.

Shear Strain

Page 5: Jiangyu Li, University of Washington Lecture 16 Torsion Mechanical Behavior of Materials Section 4.9.3-4.9.4 Discussion on the torsion test posted online

Jiangyu Li, University of Washington

©2001 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license.

Shear Stress

Page 6: Jiangyu Li, University of Washington Lecture 16 Torsion Mechanical Behavior of Materials Section 4.9.3-4.9.4 Discussion on the torsion test posted online

Jiangyu Li, University of Washington

©2001 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license.

Fig. 3-7 Longitudinal and transverse shear stresses in a circular bar subjected to torsion.

Page 7: Jiangyu Li, University of Washington Lecture 16 Torsion Mechanical Behavior of Materials Section 4.9.3-4.9.4 Discussion on the torsion test posted online

Jiangyu Li, University of Washington

©2001 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license.

Torque

Page 8: Jiangyu Li, University of Washington Lecture 16 Torsion Mechanical Behavior of Materials Section 4.9.3-4.9.4 Discussion on the torsion test posted online

Jiangyu Li, University of Washington

©2001 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license.

Fig. 3-10 Circular tube in torsion.

Page 9: Jiangyu Li, University of Washington Lecture 16 Torsion Mechanical Behavior of Materials Section 4.9.3-4.9.4 Discussion on the torsion test posted online

Jiangyu Li, University of Washington©2001 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license.

Fig. 3-20 Stresses acting on a stress element cut from a bar in torsion (pure shear).

Page 10: Jiangyu Li, University of Washington Lecture 16 Torsion Mechanical Behavior of Materials Section 4.9.3-4.9.4 Discussion on the torsion test posted online

Jiangyu Li, University of Washington

©2001 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license.

Principal Stress

Page 11: Jiangyu Li, University of Washington Lecture 16 Torsion Mechanical Behavior of Materials Section 4.9.3-4.9.4 Discussion on the torsion test posted online

Jiangyu Li, University of Washington

©2001 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license.

Fig. 3-25 Strains in pure shear: (a) shear distortion of an element oriented at = 0, and (b) distortion of an element oriented at = 45°.

Page 12: Jiangyu Li, University of Washington Lecture 16 Torsion Mechanical Behavior of Materials Section 4.9.3-4.9.4 Discussion on the torsion test posted online

Jiangyu Li, University of Washington

Torsion Test

Page 13: Jiangyu Li, University of Washington Lecture 16 Torsion Mechanical Behavior of Materials Section 4.9.3-4.9.4 Discussion on the torsion test posted online

Jiangyu Li, University of Washington

©2001 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license.

Fig. 3-24 Torsion failure of a brittle material by tension cracking along a 45° helical surface.