Teaching Responsibility
LJMU Schools involved in Delivery:
LJMU Partner Taught
Learning Methods
Online
Module Offerings
4502MDLBHG-SEP-PAR
Aims
To introduce the essential principles of applied mechanics
Learning Outcomes
1.
Use the principles of equilibrium to analyse coplanar static force systems.
2.
Apply the concepts of stress and strain to simple engineering problems involving axial, shear, flexural and torsional loading.
3.
Apply the principles of kinematics and dynamics to problems of motion
4.
Apply the principles of work, energy, power, impulse and momentum to the solution of engineering problems.
Module Content
Outline Syllabus:1 Statics
Static force systems
Planar force systems. Statics of a particle (addition of forces [graphical, force components], resultant force, condition for static equilibrium). Statics of rigid bodies (moment of a force, free-body diagrams, condition for static equilibrium). Application to connected bodies. Application to planar pin-jointed frameworks. Friction.
Flexurally loaded beams
Shear force and bending moment distribution in flexurally loaded beams. Development of shear force and bending moment diagrams for beams subject to concentrated and uniformly distributed loading.
2 Strength of Materials
Concepts of stress and strain
Axial and shear loading. Calculation of stresses and deformation (strain) in components subject to axial and shear loading. Review of load-deformation behaviour of materials (tensile test, Young’s Modulus, Poisson’s Ratio, yield stress, tensile strength, shear strength). Application to design and structural integrity.
Flexural loading. Calculation of bending stresses in beams (simple theory of elastic bending).
Calculation of deflection in beams (direct integration, Macaulay’s methods). Shear stresses in beams resulting from bending.
Torsional loading. Calculation of shear stresses in circular section shafts (theory of pure torsion).
Stress concentration. Stress concentration factor kt. Use of charts to determine kt. Factor of safety. Design stresses.
3 Dynamics
Kinematics. Review of kinematics of rigid bodies. Linear and angular motion with uniform acceleration. Linear – angular motion relationships. Projectile motion.
Graphical representation and interpretation of kinematic data, application to linear and simple non-linear motion, the application of calculus in the analysis of linear and nonlinear motion.
Dynamics of rigid bodies. Newton’s laws of motion and their application to simple mechanical systems including linear and rotational motion. Concepts of force, mass, weight and inertia, D’Alembert’s Principle, Friction, Torque and moment of inertia. Applications. Connected bodies.
4 Energy Methods
Concept of work. Work done by uniform and non-uniform forces. Work done by a Torque. Springs.
Concept of Energy. Kinetic energy and the work-energy equation. Potential energy. Strain energy. Conservation of energy. Kinetic energy of rotation.
The notion of power. The power associated with a moving force and a torque. Efficiency. Applications.
Impulse and momentum: Definition of impulse and linear momentum. Temporally varying forces. Conservation of linear momentum. Impulsive forces. Angular momentum and impulse. Applications of impulse and momentum to impact and restitution: Collision of two bodies. Collision of perfectly elastic bodies. Partially elastic collisions. Inelastic collisions.
Additional Information:The module will provide students with an introduction to essential applied mechanics (static force systems, strength of materials, kinematics, dynamics, impulse and momentum).
Assessments
Essay
Exam