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Hendri DS Budiono Copy from Fundamentals of Machine Elements by Bernard J. Hamrock ©2004 p2M DTM FTUI What is Normal, Bending, and Transverse Shear Stresses and Strains

Normal, Bending and Transverse Shear Stress and Strains_kuli

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Page 1: Normal, Bending and Transverse Shear Stress and Strains_kuli

Hendri DS BudionoCopy from Fundamentals of Machine Elements by Bernard J. Hamrock©2004 p2M DTM FTUI

What isNormal, Bending, and Transverse

Shear Stresses and Strains

Page 2: Normal, Bending and Transverse Shear Stress and Strains_kuli

Hendri DS BudionoCopy from Fundamentals of Machine Elements by Bernard J. Hamrock©2004 p2M DTM FTUI

Centroid of Area

Centroid of Area

Page 3: Normal, Bending and Transverse Shear Stress and Strains_kuli

Hendri DS BudionoCopy from Fundamentals of Machine Elements by Bernard J. Hamrock©2004 p2M DTM FTUI

Area Moment of Inertia

Area with coordinates used in describing area moment of inertia.

Page 4: Normal, Bending and Transverse Shear Stress and Strains_kuli

Hendri DS BudionoCopy from Fundamentals of Machine Elements by Bernard J. Hamrock©2004 p2M DTM FTUI

Centroid, Area Moment of Inertia and Area

Centroid, area moment of inertia, and area for seven cross sections.

text reference: Table 4.1, page 146

Page 5: Normal, Bending and Transverse Shear Stress and Strains_kuli

Hendri DS BudionoCopy from Fundamentals of Machine Elements by Bernard J. Hamrock©2004 p2M DTM FTUI

Mass and Mass Moment of Inertia

Page 6: Normal, Bending and Transverse Shear Stress and Strains_kuli

Hendri DS BudionoCopy from Fundamentals of Machine Elements by Bernard J. Hamrock©2004 p2M DTM FTUI

Mass and Mass Moment of Inertia (cont.)

Page 7: Normal, Bending and Transverse Shear Stress and Strains_kuli

Hendri DS BudionoCopy from Fundamentals of Machine Elements by Bernard J. Hamrock©2004 p2M DTM FTUI

Circular Bar with Tensile Load

Circular bar with tensile load applied.

Page 8: Normal, Bending and Transverse Shear Stress and Strains_kuli

Hendri DS BudionoCopy from Fundamentals of Machine Elements by Bernard J. Hamrock©2004 p2M DTM FTUI

Twisting due to Applied Torque

Twisting of member due to applied torque.

text reference: Figure 4.11, page 152

Page 9: Normal, Bending and Transverse Shear Stress and Strains_kuli

Hendri DS BudionoCopy from Fundamentals of Machine Elements by Bernard J. Hamrock©2004 p2M DTM FTUI

Bending of a Bar

Bar made of elastomeric material to illustrate effect of bending. (a) Undeformed bar; (b) deformed bar.

text reference: Figure 4.12, page 156

Page 10: Normal, Bending and Transverse Shear Stress and Strains_kuli

Hendri DS BudionoCopy from Fundamentals of Machine Elements by Bernard J. Hamrock©2004 p2M DTM FTUI

Bending in Cantilevered Bar

Bending occurring in cantilevered bar, showing neutral surface.

text reference: Figure 4.13, page 157

Page 11: Normal, Bending and Transverse Shear Stress and Strains_kuli

Hendri DS BudionoCopy from Fundamentals of Machine Elements by Bernard J. Hamrock©2004 p2M DTM FTUI

Bending Stress Distribution

Profile view of bending stress variation.

Page 12: Normal, Bending and Transverse Shear Stress and Strains_kuli

Hendri DS BudionoCopy from Fundamentals of Machine Elements by Bernard J. Hamrock©2004 p2M DTM FTUI

Curved Member in Bending

Curved member in bending. (a) Circumferential view; (b) cross-sectional view.

Page 13: Normal, Bending and Transverse Shear Stress and Strains_kuli

Hendri DS BudionoCopy from Fundamentals of Machine Elements by Bernard J. Hamrock©2004 p2M DTM FTUI

Cross Section of Curved Member

Rectangular cross section of curved member.

Page 14: Normal, Bending and Transverse Shear Stress and Strains_kuli

Hendri DS BudionoCopy from Fundamentals of Machine Elements by Bernard J. Hamrock©2004 p2M DTM FTUI

Development of Transverse Shear

How transverse shear is developed.

Page 15: Normal, Bending and Transverse Shear Stress and Strains_kuli

Hendri DS BudionoCopy from Fundamentals of Machine Elements by Bernard J. Hamrock©2004 p2M DTM FTUI

Deformation due to Transverse Shear

Cantilevered bar made of highly deformable material and marked with horizontal and vertical grid lines to show deformation due to transverse shear. (a) Undeformed; (b) deformed.

Page 16: Normal, Bending and Transverse Shear Stress and Strains_kuli

Hendri DS BudionoCopy from Fundamentals of Machine Elements by Bernard J. Hamrock©2004 p2M DTM FTUI

Moments and Stresses on Elements

Three-dimensional and profile views of moments and stresses associated with shaded top segment of element that has been sectioned at y’ about neutral axis. (a) Three-dimensional view; (b) profile view.

Page 17: Normal, Bending and Transverse Shear Stress and Strains_kuli

Hendri DS BudionoCopy from Fundamentals of Machine Elements by Bernard J. Hamrock©2004 p2M DTM FTUI

Maximum Shear Stress

Maximum shear stress for different beam cross sections.