CE8402 – NOTES & QP
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CE8402 – SYLLABUS
UNIT I ENERGY PRINCIPLES
Strain energy and strain energy density — strain energy due to axial load (gradual, sudden and impact loadings) , shear, flexure and torsion — Castigliano?s theorems — Maxwell?s reciprocal theorem — Principle of virtual work — unit load method — Application of energy theorems for computing deflections in determinate beams , plane frames and plane trusses — lack of fit and temperature effects — Williot Mohr?s Diagram.
UNIT II INDETERMINATE BEAMS
Concept of Analysis — Propped cantilever and fixed beams — fixed end moments and reactions — sinking and rotation of supports — Theorem of three moments — analysis of continuous beams — shear force and bending moment diagrams.
UNIT III COLUMNS AND CYLINDERS
Euler?s column theory — critical load for prismatic columns with different end conditions — Effective length — limitations — Rankine-Gordon formula — Eccentrically loaded columns — middle third rule — core of a section — Thin cylindrical and spherical shells — stresses and change in dimensions -Thick cylinders — Compound cylinders — shrinking on stresses.
UNIT IV STATE OF STRESS IN THREE DIMENSIONS
Stress tensor at a point — Stress invariants — Determination of principal stresses and principal planes — Volumetric strain. Theories of failure: Maximum Principal stress theory — Maximum Principal strain theory — Maximum shear stress theory — Total Strain energy theory — Maximum distortion energy theory — Application problems.
UNIT V ADVANCED TOPICS
Unsymmetrical bending of beams of symmetrical and unsymmetrical sections — Shear Centre — curved beams — Winkler Bach formula — stresses in hooks.