Plain and Reinforced Concrete Arches |
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Common terms and phrases
abutments applied approximately arch curve arch-axis arch-points assumed axes axial thrust axis of abscissæ bending bending moment calculated center of gravity Chapter coefficient compressive stress constructed coordinates cos² cross-section crown thickness d₁ dead load deflections deformation denotes depth of rib determined displacement distance elastic elastic modulus end-reactions ends equations force H force polygon forces acting formulæ ft.-lbs full-span load funicular polygon H₁ half-span load Hence hingeless arch hinges horizontal thrust inertia influence lines joint-pressures line of resistance live load lower fiber lower reinforcement M₁ masonry maximum stresses Melan moment of inertia moments obtain ordinates P₁ parabola pole-distance produced radius of curvature ratio reinforced concrete arches resistance-line resultant sin² span spandrel filling sq.ft sq.in statically indeterminate steel Substituting symmetrical temperature tensile stresses tension three-hinged arch upper fiber vertical weights width X-axis X₁
Popular passages
Page 81 - P is the sum of all the loads to the left of the section, W is the total load on the span, and 2/i and y2 are the ordinates to the wp Fio.
Page iii - The present work constitutes one of the most thorough^ treatments of reinforced concrete arches in any language.
Page iii - Easily-applied formulae are developed for determining in advance the best curve for an arch and the required dimensions and reinforcement.
Page 125 - The axial thrusts corresponding to the two cases of loading amount to 9500 Ibs.
Page iv - All of the numerical examples and data have been converted from metric to English units.
Page 122 - The assumption m=o yields somewhat excessive values for the compression in the concrete and the tension in the steel. For...
Page 152 - The tensile resistance of the concrete below the neutral axis is neglected.