Question

An antisymmetric [±45] laminate consists of two carbon/epoxy layers of thickness t. The elastic properties of the lamina are as follows: E? = 15 E?, E? = E?, G?? = 0.6 E?, ??? = 0.3 Determine the laminate stiffnesses [A], [B], and [D] in terms of E? and t. Obtain approximate solutions by assuming E? >> E? > G??.

          An antisymmetric [±45] laminate consists of two carbon/epoxy layers of thickness t. The elastic properties of the lamina are as follows:

E? = 15 E?, E? = E?, G?? = 0.6 E?, ??? = 0.3

Determine the laminate stiffnesses [A], [B], and [D] in terms of E? and t. Obtain approximate solutions by assuming E? >> E? > G??.

An antisymmetric [±45] laminate consists of two carbon/epoxy layers of thickness t. The elastic properties of the lamina are as follows:

E? = 15 E?, E? = E?, G?? = 0.6 E?, ??? = 0.3

Determine the laminate stiffnesses [A], [B], and [D] in terms of E? and t. Obtain approximate solutions by assuming E? >> E? > G??.

Added by Anita M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Supreeta N

12/08/2023

Step 1

The stiffness matrix [Q] for a single lamina in the principal material directions is given by: Q₁₁ = E₁ / (1 - v₁₂v₂₁) Q₂₂ = E₂ / (1 - v₁₂v₂₁) Q₁₂ = v₁₂E₂ / (1 - v₁₂v₂₁) Q₆₆ = G₁₂ Given: E₁ = 15E₀, E₂ = E₀, G₁₂ = 0.6E₀, v₁₂ = 0.3 Assuming v₂₁ = v₁₂(E₂/E₁) = Show more…

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An antisymmetric [±45] laminate consists of two carbon/epoxy layers of thickness t. The elastic properties of the lamina are as follows: E₁ = 15 Eₒ, E₂ = Eₒ, G₁₂ = 0.6 Eₒ, ν₁₂ = 0.3 Determine the laminate stiffnesses [A], [B], and [D] in terms of Eₒ and t. Obtain approximate solutions by assuming E₁ >> E₂ > G₁₂.