Elastic Stress Analysis of General Prismatic Beams

Unbraced Length Requirements for Steel I-Beams
Solutions are obtained for inelastic buckling of I-shaped beams of structural steel and the relationship between unsupported length and the extent of flexural deformation sustained at...

Stiffnesses of Circular-Arc I-Section Girders
The stiffness matrix and the influence values of the fixed-end actions of a prismatic circular-arc I-Section segment are derived from the exact solution of differential equations of the...

Stability Analysis of Beam-Crosses by Finite Integral Method
Pairs of orthogonal connected beams (beam-crosses) supported at their outer ends are analyzed for flexural-torsional instability. Loads consist of combinations of uniform transverse distributions,...

Effect of Warping Restraints on I-Beam Buckling
Elastic lateral buckling moments are computed for six wide-flange beams under uniform moment for a comprehensive range of length to depth and depth to flange width ratios. Support conditions...

Pressure Effects on Great Lakes Vertical Control
This study investigated the warping effects of atmospheric pressure fields on the assumed level geopotential Great Lakes water surfaces during the 28-month period used in establishing...

Torsion and Flexure of Closed Thin-Walled Beams
In Ref. 2, a method of determining the stress and deformation of curved thin-walled beams having general loading and geometry was presented. This method considered the effects of warping...

Stiffness Matrices for Beam Members Including Warping Torsion Effects
Recently several papers have appeared in which variation methods have been used to set up both elastic and geometric stiffness matrices for open sections for which both St. Venants. and...

Restrained Warping in Thin-Walled Open Sections
A method is derived whereby warping shear stresses due to restraints or the variation of torque along a bar can be computed using finite elements. For completeness, it is also indicated...

Diaphragms for Curved Box Beam Bridges
A finite difference procedure is used to determine the response of a single span curved single box beam bridge with any number of interior diaphragms. The bending and torsional distortions...

Analysis of Interconnected Open Section Shear Wall Structures
A study is made of three-dimensional behavior of open section shear walls subjected to lateral loads. Emphasis is placed on the warping behavior of the open section shear walls and interaction...

Effect of Interface Continuity on Pavement Moments
The paper presents a statical analysis of a slab half-space system subjected to normal axisymmetric loading, assuming full continuity of stresses and displacements on the interface plane....

Warping and Distortion at I-Section Joints
The warping and distortion at the ends of members of doubly symmetric I-sections are studied theoretically and experimentally, and the increases in the resistances to warping and distortion...

Behavior of Polygonal and Circular Ring Beams
In this paper, expressions for rotational stiffness of polygonal and circular rings are derived and interpreted, and results are also presented graphically as design aids. A special study...

Approximate Analysis of Open-Section Shear Walls Subject to Torsional Loading
A hand method of analysis is presented for the torsional warping behavior of nonplanar asymmetrical systems of shear walls such as the elevator and service shafts in tall buildings. The...

Three-Dimensional Interaction of Walls and Frames
The three-dimensional interaction of several plane walls, open section walls, and plane frames is studied under the action of horizontal forces. Walls are taken to have infinite shear...

Stiffness Analysis of Grids Including Warping
Two methods of including warping effects in the stiffness method of analysis are presented. Method B seems to be superior to Method A for cases where the warping constant is not large....

Torsion and Flexure of Curved, Thin-Walled Beams or Tubes
The investigation is concerned with the determination of the stresses and deformation of curved, open and closed cross-sectional, thin-walled beams or tubes taking into account the effects...

Linear Theory of Thin Rings
The equations governing small, elastostatic displacements of circular rings of arbitrary cross section are derived using the principle of virtual work. The equations are shown to be interpretable...

Frequencies of Beams with Elastic Warping Restraint
The free flexural-torsional vibrations of beams of thin-walled open cross sections have been studied extensively. In previous investigations arbitrary boundary conditions on the translational...

 

 

 

 

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