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TORSION. FIGURES FOR CHAPTER 3. Click the mouse or use the arrow keys to move to the next page. Use the ESC key to exit this chapter. FIG. 3-1 Torsion of a screwdriver due to a torque T applied to the handle. FIG. 3-2 Circular bar subjected to torsion by torques T 1 and T 2.

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Figures for chapter 3

TORSION

FIGURES FORCHAPTER 3

Click the mouse or use the arrow keys to move to the next page.

Use the ESC key to exit this chapter.


Fig 3 1 torsion of a screwdriver due to a torque t applied to the handle
FIG. 3-1Torsion of a screwdriver due to a torque T applied to the handle


Fig 3 2 circular bar subjected to torsion by torques t 1 and t 2
FIG. 3-2 Circular bar subjected to torsion by torques T1 and T2


Fig 3 3 deformations of a circular bar in pure torsion
FIG 3-3 Deformations of a circular bar in pure torsion


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


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


Fig 3 6 shear stresses in a circular bar in torsion
FIG. 3-6 Shear stresses in a circular bar in torsion


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


FIG. 3-8 Tensile and compressive stresses acting on a stress element oriented at 45° to the longitudinal axis


Fig 3 9 determination of the resultant of the shear stresses acting on a cross section
FIG. 3-9 Determination of the resultant of the shear stresses acting on a cross section


Fig 3 10 circular tube in torsion
FIG. 3-10 Circular tube in torsion


Fig 3 11 example 3 1 bar in pure torsion
FIG. 3-11 Example 3-1. Bar in pure torsion


Fig 3 12 example 3 2 torsion of a steel shaft
FIG. 3-12Example 3-2. Torsion of a steel shaft


Fig 3 13 example 3 3 comparison of hollow and solid shafts
FIG. 3-13 Example 3-3. Comparison of hollow and solid shafts


Fig 3 14 bar in nonuniform torsion case 1
FIG. 3-14Bar in nonuniform torsion (Case 1)


Fig 3 15 bar in nonuniform torsion case 2
FIG. 3-15 Bar in nonuniform torsion (Case 2)


Fig 3 16 bar in nonuniform torsion case 3
FIG. 3-16 Bar in nonuniform torsion (Case 3)


Fig 3 17 example 3 4 steel shaft in torsion
FIG. 3-17 Example 3-4. Steel shaft in torsion


Fig 3 18 free body diagrams for example 3 4
FIG. 3-18Free-body diagrams for Example 3-4


Fig 3 19 example 3 5 tapered bar in torsion
FIG. 3-19 Example 3-5. Tapered bar in torsion


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


FIG. 3-21 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)


Fig 3 22 graph of normal stresses s q and shear stresses t q versus angle q of the inclined plane
FIG. 3-22 Graph of normal stresses sq and shear stresses tq versus angle q of the inclined plane


Fig 3 23 stress elements oriented at q 0 and q 45 for pure shear
FIG. 3-23 Stress elements oriented at q = 0 and q = 45° for pure shear


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


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


Fig 3 26 example 3 6 circular tube in torsion
FIG. 3-26 Example 3-6. Circular tube in torsion


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


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


Fig 3 28 geometry of deformed element in pure shear
FIG. 3-28 Geometry of deformed element in pure shear


Fig 3 29 shaft transmitting a constant torque t at an angular speed w
FIG. 3-29 Shaft transmitting a constant torque T at an angular speed w


Fig 3 30 example 3 7 steel shaft in torsion
FIG. 3-30 Example 3-7. Steel shaft in torsion


Fig 3 31 example 3 8 steel shaft in torsion
FIG. 3-31 Example 3-8. Steel shaft in torsion


Fig 3 32 statically indeterminate bar in torsion
FIG. 3-32Statically indeterminate bar in torsion


Fig 3 33 example 3 9 statically indeterminate bar in torsion
FIG. 3-33Example 3-9. Statically indeterminate bar in torsion


Fig 3 34 prismatic bar in pure torsion
FIG. 3-34 Prismatic bar in pure torsion


Fig 3 35 torque rotation diagram for a bar in torsion linearly elastic material
FIG. 3-35 Torque-rotation diagram for a bar in torsion (linearly elastic material)


Fig 3 36 element in pure shear
FIG. 3-36Element in pure shear


Fig 3 37 example 3 10 strain energy produced by two loads
FIG. 3-37Example 3-10. Strain energy produced by two loads


Fig 3 38 example 3 11 strain energy produced by a distributed torque
FIG. 3-38 Example 3-11. Strain energy produced by a distributed torque


Fig 3 39 example 3 12 tapered bar in torsion
FIG. 3-39 Example 3-12. Tapered bar in torsion


Fig 3 40 thin walled tube of arbitrary cross sectional shape
FIG. 3-40 Thin-walled tube of arbitrary cross-sectional shape


Fig 3 41 cross section of thin walled tube
FIG. 3-41 Cross section of thin-walled tube


Fig 3 42 thin walled circular tube
FIG. 3-42Thin-walled circular tube


Fig 3 43 thin walled rectangular tube
FIG. 3-43Thin-walled rectangular tube


Fig 3 44 angle of twist f for a thin walled tube
FIG. 3-44 Angle of twist f for a thin-walled tube


Fig 3 45 example 3 13 comparison of approximate and exact theories of torsion
FIG. 3-45Example 3-13. Comparison of approximate and exact theories of torsion


Fig 3 46 example 3 14 comparison of circular and square tubes
FIG. 3-46 Example 3-14. Comparison of circular and square tubes


Fig 3 47 stepped shaft in torsion
FIG. 3-47 Stepped shaft in torsion


FIG. 3-48 Stress-concentration factor K for a stepped shaft in torsion. (The dashed line is for a full quarter-circular fillet.)











































































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