1565x

003547

Sonja von Bloh, M.Sc.

2021-06-14

Effective Element Thickness and Small Shear Area Calculation in SHAPE-THIN

Q: SHAPE‑THIN calculates a very small shear area. What is the cause?

The shear area is calculated as follows:The effective element thickness for the shear transfer t* has a significant influence on the shear area. Therefore, the defined effective element thickness for the shear transfer t* (Image 01) of the elements should be checked.

SHAPE‑THIN calculates a very small shear area. What is the cause?

Answer:

The shear area is calculated as follows:

A_{y} = \frac{I_{z}^{2}}{\int_{A^{*}} {(\frac{S_{z}}{t^{*}})}^{2} d A^{*}}

I_z	Second moment of area related to the axis z
S_z	First moment of area in relation to the axis z
t*	Effective element thickness for the shear transfer
A*	Surface area based on the effective shear thickness t*

Shear Area Ay

A_{z} = \frac{I_{y}^{2}}{\int_{A^{*}} {(\frac{S_{y}}{t^{*}})}^{2} d A^{*}}

I_y	Second moment of area related to the axis y
S_y	First moment of area related to the axis y
t*	Effective element thickness for the shear transfer
A*	Surface area based on the effective shear thickness t*

Shear Area Az

The effective element thickness for the shear transfer t* has a significant influence on the shear area. Therefore, the defined effective element thickness for the shear transfer t* (Image 01) of the elements should be checked.

FAQ

[EN] FAQ 003547 | SHAPE‑THIN calculates a very small shear area. Why?

Effective Shear Thickness t*

Author

Ms. von Bloh provides technical support for our customers and is responsible for the development of the SHAPE‑THIN program as well as steel and aluminum structures.

Downloads

SHAPE-THIN Model File

268 KB

Shear Area

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