# KB4024 - Introduction to Mechanics & Structures

## What will I learn on this module?

You will learn about the basic fundamentals of mechanics and structures which are essential for your developing career in construction engineering.
Force as a vector quantity. Components of a force. Resultant of concurrent force system. Moment of a force. Couples. Resultant of a coplanar force system.

Analysis of Plane Statics, Conditions for equilibrium. Stability and determinacy Principles of isolation - free body diagrams. Two and three force problems, frames and trusses, methods of joints and sections. 2 and 3 pinned arches. Concentrated, triangular and uniformly distributed loads. Combined loads and couples

Internal Forces in Structural Members: 1) Normal and shear force 2) Bending moment 3) Torsion; shear force and bending moment relationship, Bending moment and shearing force diagrams for beams

Principles of Stress and Strain, Direct stress: load, deflection, stress and strain. Tensile testing and material properties. Young’s modulus and Poisson’s Ratio. Factor of safety. Shear stress: complementary shear. Modulus of rigidity.

Applications in One-Dimension, Direct stress in compound bar and temperature effects.

Geometric Properties of Symmetric Sections, Determination of centroid, second moment of area and polar second moment of area.

Bending of Beams, Pure bending, Bending stresses in hollow tubes and symmetric I-beams. Combined direct and bending stresses.

Torsion in Beam, Torque equation, Torque. Stresses in hollow tubes. Thin walled open sections.

Energy methods in Structural anaylis. Castigliano theorem, Principle of Virtual Work, Maxwell and Betti theorems.

# How will I learn on this module?

This module introduces the application of Newton’s laws of mechanics in static systems. The definition and analysis of internal Forces in Structural Members for determinate structures and the basic principles of stress and strain in one dimension are introduced. The theory of axial load, direct shear, bending and torsional stress is developed and used in design calculations along with experimental techniques for measuring these values. You will have the opportunity to learn about how the forces acting on a building can be established. The student will receive lectures for the delivery of core academic and professional practice theory and seminars to promote deeper understanding within an applied context. The class test will take the form of a written in-class assessment which will cover the subject knowledge delivered in the lectures and its experimental application. A formative assessment will be conducted in the form of problem solving and/or multiple choice questions. Formative feedback will also be provided on seminar and laboratory work

# How will I be supported academically on this module?

Feedback and guidance will be a fundamental underpinning principle in both classroom sessions and during seminars, with the student afforded the opportunity to present work for comment during the academic year. Support will also include oral feedback from tutors during small-group seminars. In addition tutors will respond to questions via the module’s discussion board at the University’s eLearning Portal so that the whole group can benefit. Previous exams and class tests will be available to the students for their home-work.

# What will I be expected to read on this module?

All modules at Northumbria include a range of reading materials that students are expected to engage with. The reading list for this module can be found at: http://readinglists.northumbria.ac.uk

# What will I be expected to achieve?

Upon successful completion of this module the student will be able to:

You will be expected to apply Newton's laws and other concepts relating to statics. Understand the underlying principles of equilibrium. MLO 1

You will be expected to apply mathematical principles to analyse systems of forces and moments and evaluate internal forces. MLO 2

You will be expected to manage the stress analysis process by performing appropriate calculations and evaluating the outcomes. MLO 3

You will be expected to to present these concepts in an applied problem solving framework. MLO 4

# How will I be assessed?

The learning outcomes of this module will be assessed by two methods. The assessment will be through class test (40%) and an examination (60%).

The class test will take the form of a written in-class assessment which will cover the subject knowledge delivered in the lectures and the experimental application (MLO 1 and MLO 2).

Finally, through an examination. The examination will reflect the varied nature of the topics covered during the Year (MLO 3 and MLO 4).

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# Module abstract

Mechanics is a branch of the physical sciences concerned with the state of rest or motion of bodies that are subjected to the action of forces. The study of mechanics involves many more subject areas. However, initial study is usually split into two areas; statics and dynamics.
Statics is concerned with bodies that are either at rest or move with a constant speed in a fixed direction and is of great importance for a Civil Engineer. Dynamics deals with the accelerated motion of bodies. This module provides a basic grounding in mechanics including Newton's Laws, stress analysis and analysis of the equilibrium of bodies.

# What will I learn on this module?

You will learn about the basic fundamentals of mechanics and structures which are essential for your developing career in construction engineering.
Force as a vector quantity. Components of a force. Resultant of concurrent force system. Moment of a force. Couples. Resultant of a coplanar force system.

Analysis of Plane Statics, Conditions for equilibrium. Stability and determinacy Principles of isolation - free body diagrams. Two and three force problems, frames and trusses, methods of joints and sections. 2 and 3 pinned arches. Concentrated, triangular and uniformly distributed loads. Combined loads and couples

Internal Forces in Structural Members: 1) Normal and shear force 2) Bending moment 3) Torsion; shear force and bending moment relationship, Bending moment and shearing force diagrams for beams

Principles of Stress and Strain, Direct stress: load, deflection, stress and strain. Tensile testing and material properties. Young’s modulus and Poisson’s Ratio. Factor of safety. Shear stress: complementary shear. Modulus of rigidity.

Applications in One-Dimension, Direct stress in compound bar and temperature effects.

Geometric Properties of Symmetric Sections, Determination of centroid, second moment of area and polar second moment of area.

Bending of Beams, Pure bending, Bending stresses in hollow tubes and symmetric I-beams. Combined direct and bending stresses.

Torsion in Beam, Torque equation, Torque. Stresses in hollow tubes. Thin walled open sections.

Energy methods in Structural anaylis. Castigliano theorem, Principle of Virtual Work, Maxwell and Betti theorems.

### Course info

Credits 20

Mode of Study 3 to 5 years part-time, depending on entry qualifications

Department Mechanical and Construction Engineering

Location City Campus, Northumbria University

City Newcastle

Start September 2020

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