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Torsion of flanged members with cross sections restrained against warping

Description: "The longitudinal stresses and the stiffness of flange members - I-beams, channels, and Z-bars - were investigated when these members were subjected to torque with constraint against cross-sectional warping. Measured angles of rotation agreed with corresponding calculated values in which the torsion bending factor of the cross section was involved; the agreement was better for the I-beam and the Z-bar than for the channel. Longitudinal stresses measured at the mid-span were found to agree with the calculated values that involved unit warping as well as the torsion-bending factors: the channel showed the greatest discrepancy between measured and calculated values" (p. 1).
Date: March 1943
Creator: Hill, H. N.
Partner: UNT Libraries Government Documents Department

Plastic buckling of a long flat plate under combined shear and longitudinal compression

Description: Report presenting the condition for plastic buckling of a long flat plate under combined shear and longitudinal compression is obtained by using the theory of plastic buckling developed for simple loading, provided the ratio of shear to longitudinal compression is assumed constant during the loading process. A detailed calculation for a number of simply supported plates made of a typical aluminum alloy shows that an approximate algebraic relationship provided in the paper will suffice for determination of buckling stress.
Date: December 1949
Creator: Stowell, Elbridge Z.
Partner: UNT Libraries Government Documents Department

Tension fields in originally curved, thin sheets during shearing stresses

Description: The analysis of the stresses in the sheet and stiffeners is predicated upon the direction of the wrinkles, particularly the tensile stresses (principal stresses). This analysis and the calculation of stresses after buckling form the subject of the present article. It includes: 1) metal cylinders with closely spaced longitudinal stiffeners; 2) metal cylinders with closely spaced transverse rings.
Date: August 1935
Creator: Wagner, H. & Ballerstedt, W.
Partner: UNT Libraries Government Documents Department

Critical Combinations of Shear and Direct Stress for Simply Supported Rectangular Flat Plates

Description: Note presenting an investigation of the buckling of a simply supported rectangular flat plate under combinations of shear and direct stress by means of an energy method. The critical combinations of stress for several length-width ratios were determined to an accuracy of about 1 percent in conjunction with a modified matrix iteration method. Results regarding the shear and longitudinal stress and shear and transverse stress are provided.
Date: March 1947
Creator: Batdorf, S. B. & Stein, Manuel
Partner: UNT Libraries Government Documents Department

Critical Combinations of Shear and Direct Axial Stress for Curved Rectangular Panels

Description: "A solution is presented for the problem of the buckling of curved rectangular panels subjected to combined shear and direct axial stress. Charts giving theoretical critical combinations of shear and direct axial stress are presented for panels having five different length-width ratios. Because the actual critical compressive stress of rectangular panels having substantial curvature is known to be much lower than the theoretical value, a semiempirical method of analysis of curved panels subjected to combined shear and direct axial stress is presented for use in design" (p. 1).
Date: August 1949
Creator: Schildcrout, Murry & Stein, Manuel
Partner: UNT Libraries Government Documents Department

The combinations of thermal and load stresses for the onset of permanent buckling in plates

Description: A simple and practical method for evaluating the onset of permanent buckling in plates in the presence of combined thermal and compressive load stresses is outlined. A particular application of the method shows reasonable agreement with tests of 17-7 PH stainless-steel square tubes. The results indicate that the compressive load stress which the plate can support at the onset of permanent buckling is substantially reduced as the temperature difference of the plate and adjoining members increases.
Date: June 1957
Creator: Zender, George W. & Pride, Richard A.
Partner: UNT Libraries Government Documents Department

Behavior of a Plate Strip Under Shear and Compressive Stresses Beyond the Buckling Limit

Description: The present report is an extension of previous theoretical investigations on the elastic behavior of a plate under compression and shear in the region above the critical. The main object is the clarification of the behavior immediately above the buckling limit since no theoretical expressions for this range have thus far been found and since experimentally, too, any degree of regularity in the behavior of the plate in the range between the critical load and about three to four times the critical, is discernible only with difficulty.
Date: July 1938
Creator: Kromm, A. & Marguerre, K.
Partner: UNT Libraries Government Documents Department

Bending Stresses Due to Torsion in Cantilever Box Beams

Description: "The paper beings with a brief discussion on the origin of the bending stresses in cantilever box beams under torsion. A critical survey of existing theory is followed by a summary of design formulas; this summary is based on the most complete solution published but omits all refinements considered unnecessary at the present state of development. Strain-gage tests made by NACA to obtained some experimental verification of the formulas are described next. Finally, the formulas are applied to a series of box beams previously static-tested by the U.S. Army Air Corps; the results show that the bending stresses due to torsion are responsible to a large extent for the free-edge type of failure frequently experienced in these tests" (p. 1).
Date: June 1935
Creator: Kuhn, Paul
Partner: UNT Libraries Government Documents Department

A Method of Calculating Bending Stresses Due to Torsion

Description: Report presenting a method for analyzing bending stresses due to torsion in a box with variable cross section and loading by means of a recurrence formula leading to a set of equations identical in form with the well-known three-moment equations. An approximate form of the general method of analysis is presented that eliminates the need of solving a system of equations.
Date: December 1942
Creator: Kuhn, Paul
Partner: UNT Libraries Government Documents Department

On Traveling Waves in Beams

Description: Note presenting the basic equations of Timoshenko for the motion of vibrating non-uniform beams, which allow for effects of transverse shear deformation and rotary inertia, in several forms, including one in which the equations are written in the directions of the characteristics. Numerical traveling-wave solutions are obtained for some elementary problems of finite uniform beams for which the propagation velocities of bending and shear discontinuities are taken to be equal.
Date: January 1953
Creator: Leonard, Robert W. & Budiansky, Bernard
Partner: UNT Libraries Government Documents Department

A Short Method of Calculating Torsional Stresses in an Airplane Fuselage

Description: "This report deals with an investigation carried out in the Civil Engineering Laboratory of the University of California, to determine the accuracy of existing methods of computing the stresses in an airplane fuselage when subjected to torsion, and to derive a simple approximate formula for the rapid calculation of these stresses. The formula is derived by using the customary least work equation and considering each bay separately" (p. 1).
Date: September 1924
Creator: Younger, John E.
Partner: UNT Libraries Government Documents Department

Impact Buckling of Thin Bars in the Elastic Range Hinged at Both Ends

Description: "Following the development of the well-known differential equations of the problem and their resolution for failure in tension, the bending (transverse) oscillations of an originally not quite straight bar hinged at both ends and subjected to a constant longitudinal force (shock load) are analyzed. To this end the course of the bar form is expanded in a sinusoidal series, after which the investigation is carried through separately for the fundamental oscillation and the (n-1)the higher oscillations. The analysis of the fundamental oscillation distinguishes three cases: shock load lower, equal to, or higher than the Eulerian load" (p. 1).
Date: June 1934
Creator: Koning, Carel & Taub, Josef
Partner: UNT Libraries Government Documents Department

Critical Shear Stress of Long Plates With Transverse Curvature

Description: "A theoretical solution is presented for the buckling stress of long plates with transverse curvature loaded in shear. The results are given in the form of curves and formulas for plates with simply supported or clamped edges for a wide range of plate dimensions. Comparisons are made with theoretical solutions obtained in previous investigations" (p. 1).
Date: June 1947
Creator: Batdorf, S. B.; Schildcrout, Murry & Stein, Manuel
Partner: UNT Libraries Government Documents Department

Effect of Normal Pressure on the Critical Compressive Stress of Curved Sheet

Description: Results are presented of tests of two specimens tested to study the effect of normal pressure on the critical compressive stress for thin curved sheets. These specimens are designated by their respective rib spacings of 10 inches and 30 inches. The relationship between compressive stress and normal pressure at which buckles disappeared is independent of whether the buckles were made to disappear by increase of normal pressure or decrease of compressive stress. (author).
Date: August 25, 1942
Creator: Rafel, Norman
Partner: UNT Libraries Government Documents Department

Heat-Stressed Structural Components in Combustion-Engine Design

Description: "Heated structural parts alter their shape. Anything which hinders free heat expansion will give rise to heat stresses. Design rules are thus obtained for the heated walls themselves as well as for the adjoining parts. An important guiding principle is that of designing the heat-conducting walls as thin as possible" (p. 1).
Date: September 1938
Creator: Kraemer, Otto
Partner: UNT Libraries Government Documents Department

Buckling Stresses of Simply Supported Rectangular Flat Plates in Shear

Description: "The present paper evaluates the shear buckling stresses of rectangular flat plates with simply supported edges more accurately than previous work on this problem. Both symmetric (odd number of buckles) and antisymmetric (even number of buckles) patterns were considered. A curve is presented from which the critical stresses may be obtained when the dimensions of the plate are known" (p. 1).
Date: March 1947
Creator: Stein, Manuel & Neff, John
Partner: UNT Libraries Government Documents Department

Method of Split Rigidities and Its Application to Various Buckling Problems

Description: Note presenting a comprehensive review on the method of split rigidities. The principles on which the method is based are discussed and it is shown how these principles are applied. The method is applied to several examples of using this method to calculate buckling stresses of structures that buckle in composite modes.
Date: July 1958
Creator: Bijlaard, P. P.
Partner: UNT Libraries Government Documents Department

A Method of Estimating the Critical Buckling Load for Structural Members

Description: "The relations between load on the structure and rotation of a joint can be used to estimate the lowest critical load after the equation for neutral stability has been tested for three assumed critical loads, each of which is less than the lowest critical load. The solutions of six simple problems are included to illustrate the application of the method of estimating critical loads and to reveal certain characteristics of the method that should be known by the practical engineer using it. Four of these problems are concerned with members that lie in the elastic, or long-column, range. The other two problems are concerned with members that lie in the short-column range" (p. 1).
Date: July 1939
Creator: Lundquist, Eugene E.
Partner: UNT Libraries Government Documents Department

Limits of Precision in the Determination of Lattice Parameters and Stresses by the Debye-Scherrer Method

Description: Note an investigation regarding the limits of precision in the determination of lattice parameters. Experiments were performed with copper radiation on zinc samples. Even when the crystal-grain orientation is perfectly uniform, the recording of the intensity distribution will entail errors.
Date: October 1947
Creator: Ekstein, Hans & Siegel, Stanley
Partner: UNT Libraries Government Documents Department

Deformation Analysis of Wing Structures

Description: Note presenting theories of bending and torsion as applied to the problem of calculating the deflections in aircraft shell structures, particularly of wings. Bending as well as torsional deflections are discussed for wings without or with cut-outs.
Date: July 1947
Creator: Kuhn, Paul
Partner: UNT Libraries Government Documents Department

A Simplified Method of Elastic-Stability Analysis for Thin Cylindrical Shells 1: Donnell's Equation

Description: "The equation for the equilibrium of cylindrical shells introduced by Donnell in NACA Technical Report no. 479 to find the critical stresses of cylinders in torsion is applied to find critical stresses for cylinders with simply supported edges under other loading conditions. It is shown that by this method solutions may be obtained very easily and the results in each case may be expressed in terms of two nondimensional parameters, one dependent on the critical stress and the other essentially determined by the geometry of the cylinder. The influence of boundary conditions related to edge displacements in the shell median surface is discussed" (p. 1).
Date: June 1947
Creator: Batdorf, S. B.
Partner: UNT Libraries Government Documents Department

Buckling Stresses of Clamped Rectangular Flat Plates in Shear

Description: "By consideration of antisymmetrical, as well as symmetrical, buckling configurations, the theoretical shear buckling stresses of clamped rectangular flat plates are evaluated more correctly than in previous work. The results given, which represent the average of upper- and lower-limit solutions obtained b the Lagrangian multiplier method, are within 1 1/4 percen of true buckling stresses" (p. 1).
Date: May 1948
Creator: Budiansky, Bernard & Connor, Robert W.
Partner: UNT Libraries Government Documents Department