AAE-352_Glossary_final_Girish

AAE-352_Glossary_final_Girish - Glossary AAE-352 Background...

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Glossary AAE-352 - Girish Modgil Background The following glossary was created using Dr. C.T. Sun’s book as a study guide. Important definitions not covered in the Dr. Sun’s book were included from Dr. Merrill’s lecture notes. The glossary is intended as a quick review of all important concepts covered in AAE-352 and will be updated when I take AAE-553 in the Fall and in preparation for my Qualifying Exams. Table of Contents ................................................................................. Chapter 1: Basic Aircraft Structural Elements 2 ............................................................................................... Chapter 2: Introduction to elasticity 4 ...................................................................................................................... Chapter 3: Torsion 12 ...................................................................................................................... Chapter 4: Bending 22 ............................................................... Chapter 5: Flexural Shear Flow in Thin-Walled Sections 27 ......................................................................... Chapter 6: Failure Criteria for Isotropic Materials 31 1
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Chapter 1: Basic Aircraft Structural Elements 1. Axial Member: Carries tensile and compressive loads. The term EA is called the ‘axial stiffness’ of the member. 2. Shear Panel: Carries in-plane shear loads. For a shear panel of uniform thickness t under uniform shear stress the shear force in the x direction is given by: For a curved panel of width ‘a’ and height ‘b’ under a state of constant shear stress the 2 components of shear force are given by: 3. Bending Member: A beam carries bending moments and can also act as an axial member. Given a deflection ‘w’ we get: 2
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For a simple cantilever beam of length ‘L’, height ‘h’ and width ‘b’ with a force V applied to its end: Bending stress plays a more dominant role than transverse shear stress. Beam with a rectangular c/s is not optimal. I-beam have bending stress concentrated at the flanges. On the contrary, the I-beam web carries mostly all the transverse shear stress. 4. Torsion Member: Torque arises from shear stresses acting in the plane of the cross-section. For a hollow cylinder subjected to torque T, the torque induced shear stress is linearly distributed in the radial direction: The term GJ is the ‘torsional stiffness’. For hollow cylinders J is equal to the polar moment of inertia of the cross-section: 5. Important Material Properties: 3
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Chapter 2: Introduction to elasticity 1. Displacement and Strains: 1.1 Displacements: For a displacement of point P to P’ the transformation is given by: For an axial member (1-D body) the average strain is given by: 1.2 Strains: If the strain is not uniform consider a small segment Δ x and the displacement given by the function u(x) given by: For 1-D body and displacement in the x-direction only coordinates are P(x,y,z) and P’(x+
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AAE-352_Glossary_final_Girish - Glossary AAE-352 Background...

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