Figures for chapter 3
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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

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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


Figures for chapter 3

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)


Figures for chapter 3

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


Figures for chapter 3

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


Figures for chapter 3

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


Figures for chapter 3

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


Figures for chapter 3

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


Probs 3 2 1 and 3 2 2

PROBS. 3.2-1 and 3.2-2


Probs 3 2 3 3 2 4 and 3 2 5

PROBS. 3.2-3, 3.2-4, and 3.2-5


Prob 3 3 1

PROB. 3.3-1


Prob 3 3 2

PROB. 3.3-2


Prob 3 3 3

PROB. 3.3-3


Prob 3 3 4

PROB. 3.3-4


Prob 3 3 5

PROB. 3.3-5


Prob 3 3 6

PROB. 3.3-6


Prob 3 3 7

PROB. 3.3-7


Prob 3 3 9

PROB. 3.3-9


Prob 3 3 10

PROB. 3.3-10


Probs 3 3 11 and 3 3 12

PROBS. 3.3-11 and 3.3-12


Probs 3 3 13 and 3 3 14

PROBS. 3.3-13 and 3.3-14


Prob 3 3 15

PROB. 3.3-15


Prob 3 3 16

PROB. 3.3-16


Prob 3 3 17

PROB. 3.3-17


Prob 3 4 1

PROB. 3.4-1


Prob 3 4 2

PROB. 3.4-2


Prob 3 4 3

PROB. 3.4-3


Prob 3 4 4

PROB. 3.4-4


Prob 3 4 5

PROB. 3.4-5


Prob 3 4 6

PROB. 3.4-6


Prob 3 4 7

PROB. 3.4-7


Probs 3 4 8 3 4 9 and 3 4 10

PROBS. 3.4-8, 3.4-9, and 3.4-10


Prob 3 4 11

PROB. 3.4-11


Prob 3 4 12

PROB. 3.4-12


Prob 3 4 13

PROB. 3.4-13


Prob 3 4 14

PROB. 3.4-14


Probs 3 5 1 3 5 2 and 3 5 3

PROBS. 3.5-1, 3.5-2, and 3.5-3


Prob 3 5 4

PROB. 3.5-4


Prob 3 5 7

PROB. 3.5-7


Prob 3 5 9

PROB. 3.5-9


Prob 3 5 10

PROB. 3.5-10


Prob 3 7 1

PROB. 3.7-1


Prob 3 7 2

PROB. 3.7-2


Prob 3 7 3

PROB. 3.7-3


Prob 3 7 4

PROB. 3.7-4


Prob 3 7 7

PROB. 3.7-7


Probs 3 7 9 and 3 7 10

PROBS. 3.7-9 and 3.7-10


Prob 3 8 1

PROB. 3.8-1


Prob 3 8 2

PROB. 3.8-2


Prob 3 8 3

PROB. 3.8-3


Prob 3 8 4

PROB. 3.8-4


Prob 3 8 5

PROB. 3.8-5


Prob 3 8 6

PROB. 3.8-6


Prob 3 8 7

PROB. 3.8-7


Prob 3 8 8

PROB. 3.8-8


Prob 3 8 9

PROB. 3.8-9


Probs 3 8 10 and 3 8 11

PROBS. 3.8-10 and 3.8-11


Probs 3 8 12 and 3 8 13

PROBS. 3.8-12 and 3.8-13


Prob 3 8 14

PROB. 3.8-14


Probs 3 9 1 and 3 9 2

PROBS. 3.9-1 and 3.9-2


Probs 3 9 3 and 3 9 4

PROBS. 3.9-3 and 3.9-4


Prob 3 9 5

PROB. 3.9-5


Prob 3 9 6

PROB. 3.9-6


Prob 3 9 7

PROB. 3.9-7


Prob 3 9 8

PROB. 3.9-8


Prob 3 9 9

PROB. 3.9-9


Prob 3 9 10

PROB. 3.9-10


Prob 3 9 11

PROB. 3.9-11


Prob 3 10 1

PROB. 3.10-1


Prob 3 10 2

PROB. 3.10-2


Probs 3 10 3 and 3 10 4

PROBS. 3.10-3 and 3.10-4


Prob 3 10 5

PROB. 3.10-5


Prob 3 10 6

PROB. 3.10-6


Prob 3 10 7

PROB. 3.10-7


Prob 3 10 8

PROB. 3.10-8


Prob 3 10 9

PROB. 3.10-9


Prob 3 10 10

PROB. 3.10-10


Prob 3 10 11

PROB. 3.10-11


Prob 3 10 12

PROB. 3.10-12


Prob 3 10 13

PROB. 3.10-13


Probs 3 11 1 through 3 11 5

PROBS. 3.11-1 through 3.11-5


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