Hamrock, Jacobson and Schmid©1998 McGraw-Hill

Chapter 4: Normal, Bending, and Transverse Shear Stresses and Strains

I am never content until I have constructed a mechanical model of the subject I am studying. If I succeed in making one, I understand; otherwise, I do not.William Thompson (Lord Kelvin)

Image: A portion of the collapsed Hyatt Regency Walkway which claimed over 100 lives.

Hamrock, Jacobson and Schmid©1998 McGraw-Hill

Centroid of Area

Figure 4.1 Centroid of Area

text reference: Figure 4.1, page 139

Hamrock, Jacobson and Schmid©1998 McGraw-Hill

Example 4.1

Figure 4.2 Rectangular hole within a rectangular section used in Example 4.1.

text reference: Figure 4.2, page 140

Hamrock, Jacobson and Schmid©1998 McGraw-Hill

Area Moment of Inertia

Figure 4.3 Area with coordinates used in describing area moment of inertia.

text reference: Figure 4.3, page 140

Hamrock, Jacobson and Schmid©1998 McGraw-Hill

Example 4.2

Figure 4.4 Circular cross section, used in Example 4.2.

text reference: Figure 4.4, page 141

Hamrock, Jacobson and Schmid©1998 McGraw-Hill

Parallel-Axis Theorem

Figure 4.5 Coordinates and distance used in describing parallel-axis theorem.

text reference: Figure 4.5, page 142

Hamrock, Jacobson and Schmid©1998 McGraw-Hill

Example 4.3

Figure 4.6 Triangular cross section with circular hole within it.

text reference: Figure 4.6, page 143

Hamrock, Jacobson and Schmid©1998 McGraw-Hill

Example 4.4

Figure 4.7 Circular cross-sectional area relative to x’-y’ coordinates, used in Example 4.4.

text reference: Figure 4.7, page 144

Hamrock, Jacobson and Schmid©1998 McGraw-Hill

Centroid, Area Moment of Inertia and Area

Table 4.1 Centroid, area moment of inertia, and area for seven cross sections.

text reference: Table 4.1, page 146

Hamrock, Jacobson and Schmid©1998 McGraw-Hill

Centroid, Area Moment of Inertia and Area (cont.)

Table 4.1 Centroid, area moment of inertia, and area for seven cross sections (part 2 of 2).

text reference: Table 4.1, page 146

Hamrock, Jacobson and Schmid©1998 McGraw-Hill

Mass Element

Figure 4.8 Mass element in three-dimensional coordinates and distance from the three axes.

text reference: Figure 4.8, page 147

Hamrock, Jacobson and Schmid©1998 McGraw-Hill

2D Mass Element

Figure 4.9 Mass element in two dimensional coordinates and distance from the two axes.

text reference: Figure 4.9, page 147

Hamrock, Jacobson and Schmid©1998 McGraw-Hill

Mass and Mass Moment of Inertia

Table 4.2 Mass and mass moment of inertia for six solids.

text reference: Table 4.2, page 148

Hamrock, Jacobson and Schmid©1998 McGraw-Hill

Mass and Mass Moment of Inertia (cont.)

Table 4.2 Mass and mass moment of inertia for six solids.

text reference: Table 4.2, page 148