# Mechanics for Design Engineers

Dr Connor Myant

+44 (0)20 7594 9893

### Learning Outcomes

On successful completion of the module, students should be able to:
• Perform planar kinematic and dynamic analysis by hand
• Perform vibrational analyses by hand
• Perform basic contact mechanic calculations by hand
• Calculate basic stress type, stress analysis, fatigue, buckling and failure mode by hand
• Solve simple math mechanical problems using computational methods

### Description of Content

This part of the module applies fundamental concepts to Design Engineering problems for a range of structures, mechanisms and machine elements. The module explores the ideas of design evaluation and analysis through mechanics.

Topics include:
• Kinematics: rotation around a fixed axis, planar motion of rigid bodies, instantaneous centre of rotation, relative velocities and acceleration, sliding contacts, moving reference frames, introduction to 3D kinematic systems.
• Dynamics: equations of planar motion, translation, rotation around a fixed axis, general planar motion, Newton’s Second Law.
• Vibrations: Simple harmonic motion, types of dampening, analysis of damped spring-mass systems. Spring design, equivalent spring systems.
• Contact Mechanics: types of contact, Hertz contact theory, bering contacts, contact pressure, fatigue, yield, Tribology.
• Stress analysis: Buckling, slender ratio, fatigue, safety factors, stress states, 3D stress elements, stress matrices, plane stress, stress transformations, special cases of plane stress, strain transformation, Failure criteria, Von Mises Criteria, Tresca Yield Criterion, Maximum Normal Stress Theory.