AA SEZC method 10.2.1.2 rectangular membranes

Abbott Aerospace – Analysis Method

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Taken from: Analysis and Design of Composite and Metallic Flight Vehicle Structures

Rectangular Membranes

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For a long membrane, the behavior will be such that the plate will behave the samewhether the short edges are restrained.

A membrane is assumed to be ‘long’ if a / b > 5.

A long plate is considered to be a membrane if 𝑝/𝐸 ∙ Τ𝑏 𝑡 4 is greater than 100








The maximum defection at the center of the membrane is given by

𝛿 =1

8∙ 𝑏 ∙

24 ∙ 1 − 𝜇2 ∙ 𝑝 ∙ 𝑏

𝐸 ∙ 𝑡

Τ1 3

The stress at the center of the membrane is

𝑓𝑚𝑎𝑥 =𝑝2 ∙ 𝐸 ∙ 𝑏2

24 ∙ 1 − 𝜇2 ∙ 𝑡2

Τ1 3

AA-SM-013-052 Long Rectangular Membranes




http://www.abbottaerospace.com/wpdm-package/aa-sm-101-009





For a short membrane, a / b < 5 Where n1 thru n7 are coefficients determined using the following figure








The deflection at the center of the membrane is given by

𝛿 = 𝑛1 ∙ 𝑎 ∙3 𝑝 ∙ 𝑎

𝐸 ∙ 𝑡

The stresses at the center of the membrane are given by:

𝑓𝑥 = 𝑛2 ∙3𝑝2 ∙ 𝐸 ∙ Τ𝑎 𝑡 2

𝑓𝑦 = 𝑛3 ∙3𝑝2 ∙ 𝐸 ∙ Τ𝑎 𝑡 2








The stresses at the center of the short side are given by:

𝑓𝑥 = 𝑛4 ∙3𝑝2 ∙ 𝐸 ∙ Τ𝑎 𝑡 2

The stresses at the center of the long side are given by

𝑓𝑥 = 𝑛6 ∙3𝑝2 ∙ 𝐸 ∙ Τ𝑎 𝑡 2 𝑓𝑦 = 𝑛7 ∙

3𝑝2 ∙ 𝐸 ∙ Τ𝑎 𝑡 2

The maximum stresses occur at the center of the long side of the plate

𝑓𝑦 = 𝑛5 ∙3𝑝2 ∙ 𝐸 ∙ Τ𝑎 𝑡 2

AA-SM-013-053 Short Rectangular Membranes




http://www.abbottaerospace.com/wpdm-package/aa-sm-101-009

AA SEZC method 10.2.1.2 rectangular membranes

Engineering

Transcript of AA SEZC method 10.2.1.2 rectangular membranes