# Study of Stability in the Hyperbolic Paraboloid

*This experimental investigation covers the buckling behavior under uniform vertical load of a right square hyperbolic paraboloid. Results are secured by observation of the behavior of...*

Structural Analysis of the Haystack Antenna

*The Haystack Antenna is a fully steerable parabolic antenna 120 ft in diameter. The surface of this antenna must remain within ± 0.075 in. of a true paraboloid. A summary is presented...*

Short Span Sag Calculations with Insulator Bells

*Equations for sag-tension relationships are derived to include the effect of insulator weights at dead-end spans. For short spans, the insulator weight should not be neglected as it has...*

Dynamic Behavior of Massive Guy Cables

*The dynamic behavior of massive guy cables under the action of an harmonic guy-top excitation and viscous damping is studied. Theoretical expressions for the complex stiffness modulus...*

Hydraulic Jump in All Shapes of Horizontal Channels

*A simple analytical solution is presented of the ratios of conjugate depth and energy loss in terms of the upstream Froude number for the hydraulic jump in horizontal rectangular, triangular,...*

End Depth for Exponential Channels

*An extensive investigation of the end depth problem for exponential channels is presented. General theoretical equations have been developed for all the cases. From a large number of carefully...*

Arc Lengths and Curvature of Parabolic Segments

*The use of a table of nondimensional properties of second degree parabolas is presented as a convenient method for determining arc lengths and radii of curvature of parabolic segments....*

Parabolic Arches of Variable Thickness

*Tabulations for aid in designing parabolic arches of variable depth are presented. Design coefficients usually given for these arches are restricted to a single abutment to crown thickness...*

Vertical Curve Plotting

*A description of the layout of vertical curves corresponding to highway design criteria is presented for the purpose of incorporating the results into a drafting template. The basic equation...*

Length Of Culverts

*An analytical solution for determining the length of culverts is presented. This solution is sufficient to provide the full width of the roadway or the width of the embankment at the top...*

Influence Coefficients for Tow-Hinged Arches

*Derivation of expressions for bending moment and deflection influence coefficients by methods of virtual work for 2-hinged parabolic arches with secant variation of moment of inertia;...*

Testing a Light Gage Steel Hyperbolic Paraboloid Shell

*Construction and testing of shell using standard light gage steel roof deck panels; panels are welded intermittently along their seams, and at external edges to light perimeter members;...*

Model Studies of a Concrete Hyperbolic Paraboloid

*Test results on uniform, unsymmetrical, and concentrated loads; graphical presentation of stresses and deflection tendencies for diaphragm to edge beam action, vertical and horizontal...*

Continuous Parabolic Interpolation

*Preparation of rating tables and conversion of gage height to discharge in mean daily discharge program are now performed on computers at TVA by using machine interpolation to hold to...*

Stress Analysis of Translational Shells

*Analysis of bending of thin shallow translational shells is presented; generalized Levy-type solution including hyperbolic and elliptic paraboloids and cylindrical shells is obtained;...*

Tolkmitt's Backwater and Dropdown Curve Tables

*Tables and formulas, published originally by G.TOLKMITT, are presented in slightly enlarged form, for computation of backwater and dropdown curves for channels of parabolic section; use...*

Bending Moments on Shell Boundaries

*Penetration of bending stresses due to edge effects in flat plates, cylindrical, and rotational shells; estimate of edge effects and their penetration for case of hyperbolic paraboloids...*

On the Deflections of bow Girders of Non-Circular Shapes

*Solutions given in explicit form in cases in which central line of curved beam is cycloid, catenary or parabola and external forces are uniformly distributed along whole length of beam;...*

Hyperbolic Paraboloids and Other Shells of Double Curvature

*Determination of stresses in concrete shells by algebraic solutions. Bibliography....*

Parabolic Weirs

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