Finite Element Analysis of Hyperbolic Paraboloid Shells

Transition from Circular to Rectangular Section
Two methods are widely used for the design of transitions from circular to rectangular box sections. One method is based on a straight line variation of area between the circular section...

Simulation of Waves by an Underwater Explosion
The properties of water waves produced by underwater explosions were studied in a test basin where the underwater disturbance was simulated by means of a rapidly withdrawn or immersed...

Finite Element Plate Bending Equilibrium Analysis
For the problem of elastic plate bending, a finite element procedure based on the minimum of complementary energy principle is developed. Primary variable of the problem is the distribution...

Base Moment for a Class of Linear Systems
Contributions of the second and higher modes to the overturning moment at the base of any classical linear system whose fundamental mode is given by a straight line are shown to vanish...

Edge Effects in Hyperbolic Paraboloid Shells
The influences of edge constraint upon the behaviour of single panel ruled surface hyperbolic paraboloids with straight generator boundaries are studied. With apex and base corners clamped...

Convergence of Hypar Finite-Difference Solutions
A study of the convergence rates of finite-difference solutions of the linear thin shallow shell equations for single panel ruled surface hyperbolic paraboloids is reported. Boundary conditions...

Stability of Columns Subject to Impulsive Loading
The stability criterion developed for simply supported columns determine a bound on the transverse motion of the column relative to the amplitude and duration of a prescribed force pulse...

The Unsymmetrical Vertical Parabola
An unsymmetrical vertical curve is occasionally required in the geometric design of highways, particularly at interchanges. The usual procedure in such cases makes use of two parabolas...

Unsteady Flows in Lines with Distributed Leakage
Unsteady, nonuniform flows in pipelines which experience leakage are analyzed. Particular attention is given to the orifice manifold. Plows in a continuous manifold can be treated in several...

Design and Testing of Cone and Hypar Footing
Model cone and hyperbolic paraboloid footings were tested to observe membrane and bending stresses and to measure soil pressure distributions under the footings. Variations in pressure...

Stress Analysis of Translational Shells
A set of governing simultaneous partial differential equations describing the bending and membrane stress conditions in any translational shell are derived in this study. By employing...

Hyperbolic Paraboloid Structures on Four Supports
It is generally recognized that actual loading and construction details of hyperbolic paraboloid structures are far from ideal, and therefore incompatible with the membrane state of stress,...

Single-Layer Corrugated-Steel-Sheet Hypars
Vertical loading tests were conducted on several hyperbolic paraboloid (hypar) roofs fabricated from single layers of corrugated steel sheets: (1) A 4-ft-sq shell with rectangular corrugations;...

Stresses and Deformations in Umbrella Shells
Governing equations in the form of two, coupled, fourth-order partial differential equations are obtained from shallow shell theory. The equations are specialized for the hyperbolic paraboloid...

Automatic Solution of Pucher's Equation
The system of shell membrane force-equilibrium equations expressed in terms of cartesian coordinates can be reduced to a single differential equation, called Pucher's equation,...

Bending of Hyperbolic Paraboloid Structures
Deformations and internal forces in the edge members of square hyperbolic paraboloids on two supports are calculated herein. Results are based on the bending theory of shallow elastic...

Analysis of Continuous Arch Frames
The analysis of continuous arch frames with curved members of constant cross-section and either circular, parabolic or semi-elliptic arch form by means of an extension of the slope deflection...

Homologous Deformations of Tiltable Telescopes
The deformation of a structure is defined to be homologous if a given geometrical relation holds for a given number of structural points, before, during, and after the deformation. Applied...

Characteristics on M1 Backwater Curves
An analysis of M1 profiles with Froude number as a reference parameter is made. A total of 182 M1 profiles in rectangular, trapezoidal, triangular, and parabolic channels are studied....

 

 

 

 

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