Analytical estimates of structural behavior by Williams, Harry Edwin; Dym, Clive L

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By Williams, Harry Edwin; Dym, Clive L

Analytical Estimates of Structural Behavior.

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1(a) wherein the loads are often directed either perpendicular to or at other nonzero angles with the cable, and the cable itself generally has “kinks” at points where the concentrated loads are placed. ) The resulting stresses in a cable or rope are normal stresses that act along the cable’s lines or segments, always in tension. Remember that you cannot push on a rope. Such cables are clearly mainstays of such fabled crossings as the San Luis Rey Bridge, and experience and intuition suggest that the cables of such bridges will need both horizontal and vertical support at the ends.

Taylor, E. S. 1974. Dimensional analysis for engineers. London: Oxford. Thompson, D’A. W. 1969. On growth and form. London: Cambridge University Press. (Abridged edition, J. T. ) Tufte, E. R. 1983. The visual display of quantitative information. Cheshire, CT: Graphics Press. ———. 1990. Envisioning information. Cheshire, CT: Graphics Press. indb 33 Use the basic method of dimensional analysis to determine the frequency ω (rad/s) of a beam given its Young’s modulus E, shear modulus G, length L, second area moment I, cross-sectional area A, and mass density ρ.

Use the Buckingham pi theorem to determine the buckling load P of a column of given Young’s modulus E, length L, and second area moment I. 3. ) Determine the error made in the approximations (a) sin θ ≅ θ and (b) cos θ ≅ 1 for θ = 0°, 5°, 10°, 15°, 20°, 25°, 30°. Determine the error made in the approximations (a) sin2 θ ≅ θ2 and (b) cos θ ≅ 1 for θ = 0°, 5°, 10°, 15°, 20°, 25°, 30°. How large can ε be for ε(1 + ε/2) ≅ ε to be good within 5%? 10%? 15%? 20%? 05/01/12 12:17 PM 2 Structural Models and Structural Modeling Summary This book is about the business of modeling structures and their behavior.

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