HW1 solutions

# HW1 solutions - same in every direction If not it is called...

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CEE108 Introduction to Mechanics of Deformable Solids Dr. Yuan HW1 Solutions Summer 2010 Problem 1 a) The moment can be considered as a “rotational force” which tends to rotate a body. The magnitude of a moment is equal to the multiplication of force and arm length. Torque (torsinal moment) is a moment with the direction perpendicular to the plane and tend to twist a body. Bending moment is a moment that applied on the plane and tends to bend a body. Example: wrench. b) Continuity: Assume the deformable solid body has no voids or cracks. Materials inside the deformable body (called “Continuum”) are continuous. Uniformity or Homogeneity: Assume the distributions of the internal constituents are uniform (material property is the same at all points within the solid). For example, metals such as steel, aluminum or brass is a homogeneous material but concrete is heterogeneous. Isotropic: Assume the elastic properties of a solid at a given point are the

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Unformatted text preview: same in every direction . If not, it is called anisotropic. Infinitesimal: Assume the deformation is infinitesimal so that the linear theory and the principle of superposition can be applied. CEE108 Introduction to Mechanics of Deformable Solids Dr. Yuan HW1 Solutions Summer 2010 Problem 2 CEE108 Introduction to Mechanics of Deformable Solids Dr. Yuan HW1 Solutions Summer 2010 CEE108 Introduction to Mechanics of Deformable Solids Dr. Yuan HW1 Solutions Summer 2010 Problem 3 CEE108 Introduction to Mechanics of Deformable Solids Dr. Yuan HW1 Solutions Summer 2010 Problem 4 CEE108 Introduction to Mechanics of Deformable Solids Dr. Yuan HW1 Solutions Summer 2010 Problem 5 CEE108 Introduction to Mechanics of Deformable Solids Dr. Yuan HW1 Solutions Summer 2010 CEE108 Introduction to Mechanics of Deformable Solids Dr. Yuan HW1 Solutions Summer 2010...
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