Copyright 2005 by Nelson, a division of Thomson Canada Limited FIGURES FOR CHAPTER 3 TORSION Click the mouse or use the arrow keys to move to the next.

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Copyright 2005 by Nelson, a division of Thomson Canada Limited FIGURES FOR CHAPTER 3 TORSION Click the mouse or use the arrow keys to move to the next page. Use the ESC key to exit this chapter.

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG. 3-1 Torsion of a screwdriver due to a torque T applied to the handle

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG. 3-2 Circular bar subjected to torsion by torques T 1 and T 2

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG 3-3 Deformations of a circular bar in pure torsion

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG. 3-4 Deformation of an element of length dx cut from a bar in torsion

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG. 3-5 Shear strains in a circular tube

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG. 3-6 Shear stresses in a circular bar in torsion

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG. 3-7 Longitudinal and transverse shear stresses in a circular bar subjected to torsion

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG. 3-8 Tensile and compressive stresses acting on a stress element oriented at 45° to the longitudinal axis

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG. 3-9 Determination of the resultant of the shear stresses acting on a cross section

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Circular tube in torsion

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Example 3-1. Bar in pure torsion

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Example 3-2. Torsion of a steel shaft

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Example 3-3. Comparison of hollow and solid shafts

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Bar in nonuniform torsion (Case 1)

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Bar in nonuniform torsion (Case 2)

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Bar in nonuniform torsion (Case 3)

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Example 3-4. Steel shaft in torsion

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Free-body diagrams for Example 3-4

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Example 3-5. Tapered bar in torsion

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Stresses acting on a stress element cut from a bar in torsion (pure shear)

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Analysis of stresses on inclined planes: (a) element in pure shear, (b) stresses acting on a triangular stress element, and (c) forces acting on the triangular stress element (free- body diagram)

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Graph of normal stresses   and shear stresses   versus angle  of the inclined plane

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Stress elements oriented at  = 0 and  = 45° for pure shear

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Torsion failure of a brittle material by tension cracking along a 45° helical surface

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Strains in pure shear: (a) shear distortion of an element oriented at  = 0, and (b) distortion of an element oriented at  = 45°

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Example 3-6. Circular tube in torsion

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG. 3-27a Stress and strain elements for the tube of Example 3-6: (a) maximum shear stresses, and (b) maximum tensile and compressive stresses

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG. 3-27b Stress and strain elements for the tube of Example 3-6: (c) maximum shear strains, and (d) maximum tensile and compressive strains

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Geometry of deformed element in pure shear

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Shaft transmitting a constant torque T at an angular speed 

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Example 3-7. Steel shaft in torsion

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Example 3-8. Steel shaft in torsion

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Statically indeterminate bar in torsion

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Example 3-9. Statically indeterminate bar in torsion

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Prismatic bar in pure torsion

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Torque-rotation diagram for a bar in torsion (linearly elastic material)

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Element in pure shear

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Example Strain energy produced by two loads

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Example Strain energy produced by a distributed torque

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Example Tapered bar in torsion

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Thin-walled tube of arbitrary cross-sectional shape

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Cross section of thin-walled tube

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Thin-walled circular tube

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Thin-walled rectangular tube

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Angle of twist  for a thin-walled tube

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Example Comparison of approximate and exact theories of torsion

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Example Comparison of circular and square tubes

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Stepped shaft in torsion

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Stress-concentration factor K for a stepped shaft in torsion. (The dashed line is for a full quarter-circular fillet.)

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