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Plane stress

Plane stress. z components of stress are zero . Thin plates We use plane stress for analyzing stresses in the skins of wings. But they are subject to pressure loads, hence . How come?. It is not plane strain!. The strain in the z direction is not zero. We had . So

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Plane stress

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  1. Plane stress • z components of stress are zero . Thin plates • We use plane stress for analyzing stresses in the skins of wings. But they are subject to pressure loads, hence . How come?

  2. It is not plane strain! • The strain in the z direction is not zero. We had . So • In upper skin, in-plane stresses tend to be compressive so is tensile, promoting delamination.

  3. Hooke’s law • We introduce notation for composites that is not normally used for isotropic materials • Inverse relationship is simpler

  4. Single isotropic layer • Uniaxial loading • Stress and strain

  5. Symmetrically laminated layers • Symmetry needed so that in-plane stress will not cause bending. • Stress in kth layer • Stress resultants

  6. A matrix • Substituting from Hooke’s law get • For isotropic layers • Effective moduli

  7. Example 2.2.1 • Sandwich laminate of aluminum and brass • Properties: , , • Obtain , , • How do we check?

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