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Module Overview

Mechanics of Materials for Structural Engineers 4

The aim of this module is to

  • Review the topics of Module CBEH 2105, CBEH 2106, CBEH 3115
  • Provide knowledge of each of the following (with emphasis on solution from first principles): nonlinear beams, properties of discrete areas, moment connections, torsion of circular bars, combined bending and axial loads, buckling of struts, plane strain tensors, second moment of area tensors, relationship between elastic constants, fatigue, stress concentrations, doubly symmetrical beams subject to inclined loading

Module Code

CBEH 3116

ECTS Credits

5

*Curricular information is subject to change
  • Review – review of all topics in modules CBEH 2105, CBEH 2106, CBEH 3115
  • Nonlinear Beams – steel, reinforced concrete, post-yield, ultimate strength, stress blocks, iterative methods
  • Properties of Plane Surfaces – properties of discrete area systems (area, centroid, first moment of area, second moment of area, polar second moment of area)
  • Connections – moment/torsion connections in steel (welded/bolted), application of discrete area systems
  • Torsion of Circular Bars – linearly elastic, torsional moment diagrams, angle of twist, shear stress, shear strain, hollow and solid bars, uniform and non-uniform torsion
  • Beams subject to Combined Bending and Axial Loads – linearly elastic, superposition, eccentric axial loads, core of a cross-section
  • Buckling and Stability of Columns and Struts – differential equation, neutral equilibrium, critical load, bifurcation point, perfect columns, centric loading, linearly elastic, Euler buckling, support conditions, real struts, columns with initial curvature, eccentric axial loads, secant formula, first yield, post-yield, strut tables
  • Plane Strain Tensors – plane strain, strain transformation equations, principal strains, maximum shear strain, Mohr’s strain circle, strain gauge rosettes, special cases
  • Second and Product Moment of Area Tensors – principal axes, Mohr’s circle, principal points
  • Transformation equations for stresses and strains in pure shear, application to a circular bar in torsion
  • Fatigue – repeated loading, endurance curve, fatigue limit
  • Stress Concentrations – axially loaded bars, beams, bars in torsion, stress concentration factors
  • Doubly-symmetrical Beams subject to Inclined Loading – linearly elastic
  •  

    Laboratory

    • Physical experiments involving flexure, torsion, pressure vessels, buckling, vibration, photoelasticity
    • Numerical experiments involving spreadsheets, finite element software (e.g. Ansys)

Lectures, Design Studio / tutorials, Laboratory sessions

Problem-solving exercises and self-directed learning

Project Work

Module Content & Assessment
Assessment Breakdown %
Formal Examination70
Other Assessment(s)30