Second moment of area and Section modulus

Second moment of area and Section modulus#

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Fig. 32 Figure 3.30 Hartsuijker and Welleman (2007)#

Moments of inertia#

  • \(I_{yy} = \int_{A}y^{2}dA\)

  • \( I_{zz} = \int_{A}z^{2}dA\)

  • \( I_{yz} = I_{zy} = \int_{A}yzdA\)

This is treated in chapter 3.2.1 - 3.2.2, 3.2.4 (example 1 - 7) and 3.4 of the book Engineering Mechanics Volume 2 (Hartsuijker and Welleman, 2007).

Thin-walled cross-sections#

This is treated in chapter 3.3 (example 1 and 3) of the book Engineering Mechanics Volume 2 (Hartsuijker and Welleman, 2007).

Section modulus or “Weerstandsmoment”#

  • \(W_{z;b} = \frac{I_{zz}}{e_b}\)

  • \(W_{z;t} = \frac{I_{zz}}{e_t}\)

This is treated in chapter 4.6 of the book Engineering Mechanics Volume 2 (Hartsuijker and Welleman, 2007).

Exercises#

Exercises 3.13-3.42 (except for 3.36b-c, 3.37b, 3.40, 3.41) in chapter 3.5 of the book Engineering Mechanics Volume 2 (Hartsuijker and Welleman, 2007). Answers are available on this website.

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