Understanding Solid Mechanics: Applied Stress Analysis

This set of courses is important for designers and engineers who wish to gain a good understanding of the basic solid mechanics:

Session 1 - Understanding Stresses in Beams

Session 2 - Understanding Stresses in Thick Cylinders

Session 3 - Understanding Stresses in Shells

Session 4 - Understanding Shear Stresses and Torsion of Shafts

In order to calculate the capacity of a component we need to understand the internal forces acting inside the body that correspond to those acting externally. From these internal forces we calculate the internal stresses distribution taking into account that different components or structures develop different stress distributions depending on their geometry, external loading and desired behaviour.

Typically beams are long slender structures with arbitrary cross-section that are used to withstand bending forces acting along their length (session 1), thick cylinders are a specific form of surface structures designed to withstand pressure forces acting on their internal or external surfaces (session 2) while shells are considered general curved surface structures that withstand surface forces (session 3). Structural shafts of circular and non-circular cross-sections are typically used to withstand torsion via shear stress (session 4).

The main objectives of the course is:

• To provide delegates with a good understanding of solid mechanics and basic theories that are widely used in engineering design, analysis and simulation

• To present many practical examples of engineering applications to reinforce the solid mechanics theories.

ID

Competence Statement

FEAev3

Assess the significance of simplifying geometry, material models, loads or boundary conditions.

FEAsy1

Prepare an analysis specification, including modelling strategy, highlighting any assumptions relating to geometry, loads, boundary conditions and material properties.

MESMap3

Employ Lame's equations to determine the stresses in thick cylinder and spheres subjected to internal and external pressure.

MESMap8

Evaluate deformed shapes, shear force, bending moment and torque diagrams for simple structures.

MESMco15

Explain the Tresca and von Mises Failure Criteria in 2D, sketching the failure surface.

MESMkn14

Sketch the through-thickness shear stress distribution in a rectangular beam subjected to a shearing load.

MESMkn22

State the radial stress boundary conditions at the inner and outer surfaces of an internally pressurised cylinder or sphere.

BMPSkn1

Sketch some typical shells of revolution from your industry sector.

BMPSkn3

Define the plate flexural rigidity Constant "D"

BMPSco1

Describe the basic differences between a membrane, a plate and a shell.

BMPSco11

Describe the Love-Kirchoff assumptions.

BMPSco26

Describe the boundary conditions appropriate to fully-fixed and simply supported beams and shells and explain the link to bending stress.

BMPSev1

Justify the appropriateness of a beam, membrane, plate or shell idealisation for any analysis.