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, and the comparative action of statically determinate and indeterminate structures.To consider in greater detail the range of structures examined conceptually in Structures 1.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 completion of this unit, students 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 moment and shear force diagrams for beams; comparison of statically determinate and continuous beams. Bending and shearing stresses in beams; concept of principal stress trajectories and analogies with truss action; structural form and efficiency. Centroid, neutral axis, section modulus and beam sectional shape efficiency. Deflected forms and bending moments in portal and framed structures; weak beam/ strong column and strong beam solutions (physical action and approximate analysis). 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. Moment/curvature relations and analysis of deflections. Shear flow in beams; fabricated and composite beams; welds and shear connectors. 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. Concepts of plastic failure mechanisms. Approximate elastic analysis of multi-storey frames.
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