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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.

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Presentation on theme: "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."— Presentation transcript:

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 Mechanics of Materials Lab

2 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

3 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.

4 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

5 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

6 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.

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

8 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.

9 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).

10 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

11 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°.

12 Jiangyu Li, University of Washington Torsion Test

13 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.


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