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SHAPE-THIN calculates a very small shear area. What is the reason for this?

Answer

The shear area is calculated as follows:

${\mathrm A}_{\mathrm y}\;=\;\frac{{\mathrm I}_{\mathrm z}^2}{\int_{\mathrm A^\ast}\left({\displaystyle\frac{{\mathrm S}_{\mathrm z}}{\mathrm t^\ast}}\right)^2\operatorname d\mathrm A^\ast}$

${\mathrm A}_{\mathrm z}\;=\;\frac{{\mathrm I}_{\mathrm y}^2}{\int_{\mathrm A^\ast}\left({\displaystyle\frac{{\mathrm S}_{\mathrm y}}{\mathrm t^\ast}}\right)^2\operatorname d\mathrm A^\ast}$

These include:

I z or I y :
2nd-order moment of area in relation to the axis z or y
S z or S y :
1st degree moment of area in relation to the axis z or y
t *:
effective element thickness for shear transfer

A *:

Surface Area Based on Effective Shear Thickness t *

The effective element thickness for shear transfer t * has a significant influence on the shear area. Therefore, the defined effective element thickness for shear transfer t * (Figure 1) of the elements should be checked.

Keywords

shear area

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Cross-Sections Thin-Walled
SHAPE-THIN 8.xx

Cross-Section Properties Software

Section properties, stress analysis, and plastic design of open and closed thin-walled cross-sections

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