Civiloop

Monday, February 11, 2019

1300 Math Formulas

1300 Math Formulas by Alex Svirin, Ph.D.

This handbook is a complete desktop reference for students and engineers. It has everything from high school math to math for advanced undergraduates in engineering, economics, physical sciences, and mathematics. The ebook contains hundreds of formulas, tables, and figures from Number Sets, Algebra, Geometry, Trigonometry, Materices and Determinants, Vectors, Analytic Geometry, Calculus, Differential Equations, Series, and Probability Theory. The structured table of contents, links, and layout make finding the relevant information quick and painless, so it can be used as an everyday online reference guide.

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Thursday, February 7, 2019

Design of Beam for Torsion

Torsion occurs appreciably in many structures, such as in the main girders of bridges, which are twisted by transverse beams or slabs. It occurs in buildings where the edge of a floor slab and its main beams are supported by a spandrel beam running between the exterior columns. This situation is shown in the Figure 1.1, where the floor beam acts as off-center load and tends to twist the spandrel beam laterally. Buildings in which the center of mass and center of rigidity do not coincide are called asymmetrical structures. In such structures earthquakes can cause dangerous torsional forces.