Module Catalogues, Xi'an Jiaotong-Liverpool University   
Module Code: CEN103
Module Title: Solids and Structures
Module Level: Level 1
Module Credits: 5.00
Academic Year: 2020/21
Semester: SEM2
Originating Department: Civil Engineering
Pre-requisites: PHY002ORPHY004
To introduce basic principles of statics and to illustrate the application of these principles to the formulation and solution of a range of representative civil engineering problems.
Learning outcomes 
A. Understand and apply the derivation of mathematical models for static analysis of mechanical systems.

B. Analyse trusses and beam structures.

C. Analyse beam cross sections, determination of centroids, moments of inertia, section modulus, principal axes and principal moments of inertia.

D. Determine stresses corresponding to normal force and bending moments.

E. Determine deflections in beams structures using Macaulay’s method of integration and moment-area method.

F. Perform stress and strain transformations using method of equation and Mohr’s circle.

Method of teaching and learning 
Lectures and tutorials are integrated, i.e. each lecture contains new theoretical topics, worked examples and opportunities for students to solve problems. Some lectures are used as pure tutorials. Coursework, which enable students to use the acquired knowledge in an integrated manner, are given in essential parts of the syllabus. Simple computer software for analysis of trusses and beams is an integrated part of the coursework. Simple practical laboratory experiments (measurement of modulus of elasticity and deflections of timber boards subjected to bending) are carried out by the students and a report is submitted.
Review: Basic vector mechanics. Forces. Moment of a force about a point. Moment of a force about a line. Force couple. Invariance of the torque of a force couple. Equivalent force systems. Transfer of forces and moments from one point to another. Equilibrium of rigid bodies. Supports and reaction forces.

Trusses: Characteristics of trusses. Supports and reactions. Statically determinate trusses. Method of sections. Brief introduction to normal stresses, strains and elongations in truss members, Hooke’s Law, Young’s Modulus and various characteristics of simple constitutive relations.

Cross section analysis: Centroids. First moment of area. Moment of inertia. Section modulus. Composite cross sections. Principal axes. Principal moments of inertia.

Beam structures: Supports and reactions. Statically determinate beams. Normal force, shear force and moment diagrams. Normal stresses corresponding to pure normal force. Normal stresses corresponding to pure bending moment. Normal stresses corresponding to normal force and bending moments.

Torsion: Torsion of circular shafts. Deformations corresponding to torsion of circular shafts.

Deflection of beams: Deflection of statically determinate and indeterminate structures, Macaulay’s method of integration, moment area method, principle of superposition.

Stress analysis: Stress transformation. General state of stress at a point. Three methods to realize stress transformation: Wedge method, Method of equations, and Mohr’s circle.

Strain analysis: Strain transformation. Definition of strain at a point. Three methods to realize strain transformation: Line method, Method of equations, and Mohr’s circle.

Generalized Hooke’s law. Common constants for elastic material.

Delivery Hours  
Lectures Seminars Tutorials Lab/Prcaticals Fieldwork / Placement Other(Private study) Total
Hours/Semester 52          98   


Sequence Method % of Final Mark

Module Catalogue generated from SITS CUT-OFF: 6/7/2020 4:10:27 AM