Solid Mechanics 4 (U01206)

? Credit Points : 10 ? SCQF Level : 10 ? Acronym : EEL-4-MESLD

The course provides an understanding of the nature and scope of advanced solid mechanics, and an appreciation of the limits of analytical solutions and the value of these in underpinning modern computer methods for stress analysis. This is achieved by applying the basic field equations of solid mechanics to a range of core problems of engineering interest.

Entry Requirements

none

Subject Areas

Home subject area

Mechanical, (School of Engineering and Electronics, Schedule M)

Delivery Information

? Normal year taken : 4th year

? Delivery Period : Semester 1 (Blocks 1-2)

? Contact Teaching Time : 3 hour(s) per week for 11 weeks

Summary of Intended Learning Outcomes

On completion of the course, students should be able to:

1. Understand the tensorial nature of stress at a point in a loaded component. and relate the problem of finding the three principal stresses at a point to the matrix eigenvalue problem.

2. Be able to apply concepts of principal stress, max shear stress, stress invariants and octahedral shear stress to the problem of failure criteria for design under combined stress; be familiar with the TRESCA and VON MISES criteria for design.

3. Understand the general strain-displacement relations for small strain, and the stress field equations, and be able to relate a displacement field to a stress field through the three dimensional elastic relations in Cartesian and cylindrical coordinates.

4. Apply the field equations to determine the stress solution for axisymmetric problems such as thick cylinders under internal pressure loading, and spinning discs.

5. Understand the analysis of torsional shear stress in non-circular cross sections, and be able to use the membrane analogy of Prandtl to obtain the approximate solution of the stresses in thin walled open sections and thin walled tubes under torsion, including evaluating the torsional stiffness.

6. Be familiar with stress resultants per unit length in the theory of thin plates, and understand the plate differential equation; be able to evaluate the deflection curve and stress distributions in thin uniform circular plates under a range of boundary conditions and axisymmetric loads.

7. Appreciate the limits of analytical solutions to stress fields and understand the basis, value and power, and approximate nature of computer based Finite Element Method.