| Description:
| Aims:
To develop an analytical understanding of the statics and mechanics of statically determinate structures and structural mechanisms. To introduce students to the internal action of structures, stresses and strains. To develop a physical and analytical understanding of stresses and strains in two (and three) dimensions, and of the three-dimensional action of structures and components.
Learning Outcomes:
On successful completion of the unit, the student will be able to analyse simple structures to determine stress, strain, stability and displacements.
Skills:
An ability to analyse stress, strain, deformations and stability in simple structures.
Content:
Bending and shearing stresses in beams. Centroid, neutral axis, section modulus and beam sectional shape efficiency. Second moment of area. Deflected forms and bending moments in portal and framed structures. Young's modulus and Poisson's ratio; shear modulus; elastic behaviour. Internal stress equilibrium; Mohr's circle for stresses and strains; principal stresses and strains. Two and three dimensional stress and strain states. Strain measurements. Moment/curvature relations and analysis of deflections. Shear flow in beams; fabricated and composite beams. Bending of asymmetric sections. Torsion of thin-walled closed sections. Shear centre; torsion of thin-walled open sections. Stresses due to combined bi-axial bending, torsion and axial loading in structural members. Euler buckling load for columns; differing end constraints; imperfections, eccentric loading and initial curvatures.
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Credits: