Repository: UIHistories Project: Course Catalog - 1890-1891 [PAGE 30]

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UNIVERSITY OF ILLINOIS.

APPLIED MATHEMATICS.

Analytical Mechanics.—Nature and measure of force; composition and resolution of forces; moments; conditions of equilibrium; resultant of systenlsof forces; centerof gravity; moment of inertia; rectilinear and curvilinear motion and the relation between such motion and the constraining and accelerating forces; dynamics of a rigid body; momentum and impact; work, energy and power; mechanical advantage; friction; application of these principles and methods to the solution of numerous and varied engineering problems. Resistance of Materials.—Elasticity of materials; stresses and strains; experimental laws; working strength for different materials; resistance of pipes and riveted joints; bending and resisting moment, shear and elastic curve of cantilever, simple, restrained, and continuous beams; column formulas; torsion, and shafts; maximum internal stresses in beams; fatigue of metals; working strength for repeated stresses; resilience; reliability of the common theory of flexure as shown by actual experiment; design and strength of rolled and built beams and columns; specifications for materials and methods of testing. Hydraulics.—Weight and pressure of water; head; center of pressure, velocity and discharge through orifices, weirs, tubes, pipes, conduits, canals and rivers; measurement of pressure, velocity and discharge; water power. Projection Drawing.—Use of drafting instruments in the elements of mechanical drawing; geometric constructions; orthographic projection and representation of objects; sections; isometric drawing; cabinet projection and false perspective; use of water colors; conventional signs; drawings finished by line shading and by colors; miscellaneous plans and drawings. Free Hand Drawing.—Outline sketches; drawing from casts; sketches of machines, etc. Lettering.—Plain and ornamental alphabets; titles and title pages; round and stump writing. Descriptive Geometry.—Problems on the point, right line, and plane; single-curved surfaces; double-curved surfaces; development and intersections; shades and shadows; perspective; numerous and varied practical problems requiring the application of these principles and methods.

PHYSICS.

The course of physics embraces the kinds of work following: 1. Recitations, in which a text book is used as a guide. 2. Experiments in the physical laboratory, in which the student uses the instruments in testing the principles taught.