Calendar: 1961-1962 Page 191

190 FACULTY OF ENGINEERING SYLLABUSES OF COURSES PART Mathematics Revision of dynamics vector and scalar quantities angular motion easy cases of impulsive forces rotation of rigid bodies about fixed point relation of torque and angular acceleration moment of momentum angular kinetic energy first and second moments of area and moments of inertia radius of gyration units-c and ft Ib sec systems and conversions between these Differentiation and integration of algebraic trigonometric exponen- tial logarithmic and hyperbolic functions Maxima and minima of single variable Technique of integration including change of variable use of identi- ties and partial fractions Integration by parte Definite integrals including applications to arcs areas volumes first and second moments Formation and solution of simple first order differential equations Taylor's and Maclaurin's series and other simple methods of expansion Approximate graphical and numerical solution of equations Simple geometrical properties of the circle parabola ellipse and hyperbola Complex numbers and de Moivre's theorem Radius of curvature Introduction to the catenary Materials and Structures Mechanical properties of materials Simple and compound stresses two-dimensional strain Mohr's stress and strain circle Strain-gauge rosettes Elastic constants and their relationship Theory of bending shearing force and bending moment diagrams for statically determinate and indeterminate cases flexural stresses dis- tribution of shear stress in cross-section of beam Slopes and de- flections of beams area-moment method Asymmetrical bending Torsion combined bending and torsion shear centre Theory of stability of long columns eccentric loading of tie bars and short columns core of section Plate springs and helical springs Strain energy Castigliano's theorem Thin shells under internal pressure Impact loading rotating rings and discs Continuous beams Simple pin-jointed frames and arches Theories of elastic failure Plastic theory of bending