{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# chap6 - CHAPTER 6 3D SOLIDS A 3D solid can have any shape...

This preview shows pages 1–8. Sign up to view the full content.

1 CHAPTER 6: 3D SOLIDS A 3D solid can have any shape, size, boundary conditions, etc. All six stress components and all three displacement components must be considered.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2 AXISYMMETRIC SOLID A solid of revolution generated by revolving a plane shape about an axis in the plane. Nothing varies with the circumferential coordinate θ if loads, supports and elastic properties are also axisymmetric. No circumferential displacement and τ r θ = τ θ z =0. The problem is mathematically two-dimensional and is usually modeled with plane triangles and quadrilaterals. Hence we model a longitudinal cross-section for R in < r < R out .
3 Axisymmetric Solid Example

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
4 Constitutive Equation in 3D where σ 0 is the initial stress produced by the temperature change and
5 Constitutive Equation for Axial Symmetry

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
6 Strain-Displacement Relations Strain-Displacement Relations in Cartesian Coordinates: Strain-Displacement Relations for a solid of revolution in cylindrical coordinates:
7

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 12

chap6 - CHAPTER 6 3D SOLIDS A 3D solid can have any shape...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online