Kleinlogel Rigid Frame Formulas

Kleinlogel Rigid Frame Formulas

Rigid Frame Formulas,  The formulas in this section are more rigid frame formulas, for bridges. These formulas, for bridges, though non rigid, are very useful in designing such structures, as any given design can be readily extended to a rigid frame.
Rigid Frame Formulas, Design Schemes, and Computer Calculations, Irving Langmuir
Formulas suitable for such applications require one or more rigid substructures..
The following set of formulas, in their present form, are not suitable for rigid frame design. The formulas have been rewritten here for greater clarity in design applications.

SOURCE .
For design purposes, the rigid frame formula given here have
two primary uses.
The first is design formula, and the second is to obtain the dimensions of frames found in a rigid frame, from given design data.
Rigid frame formulas, according to the author, are nonrigid formulas, which
clearly show the structure of a rigid frame, which are given in rectangular form.
The designer, in need of a rigid frame will be pleased to find that the rigid frame formulas / are given in rectangular form. A rigid frame, from rigid frame formulas, is obtained by using the basic formulas ( see Sec. 6.6. ) in order to get the side of a rectangle.
A rigid frame, from rigid frame formulas, is obtained from the basic formulas ( see Sec. 6.6. ) in order to get the dimensions of frames found in rigid frame, from given design data, in rectangular form.
The basic formulas, given in rectangular form, are :.
The formulas in this section are Rigid Frame Formulas, The formulas are not suitable for design purposes. The formulas have been rewritten here for greater clarity in design applications.
The formulas have been rewritten here for greater clarity in design applications,

SOURCE .
. The basic formulas are given in rectangular form. These rigid frame formulas are based on those of M. O’ Lalley. 14
to consider a rigid frame, four sections, A, B, C, and D, are used in order to
form them into the basic formulas of the author.
A, B, C, and D stand for the width, length, height,and thickness, of the rigid frame. A, B, C, and D are all positive. In the following formulas, A, B, C, and D stand for the width, length

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J. K. Murray and W.P. Bailey, Engineers’ Precepts, 1940, 4th ed. McGraw-Hill, New York, 1959, p. 471.
Leontovich Frames and Arches
O.I. Leontovich, ‘The building mechanics of frame structures,” P.M.F. Engineers, Vol. 9, No. 6, pp. 459-470. Leontovich, O.I., 1960. “An integrational approach to building mechanics of truss structures and other systems,” USSR, 1958.  .
Leontovich, O.I., 1962. The Truss Structures, (translated from Russian), L.T.D., Moscow, 1962. C.I.F. Vol. 69, Springer-Verlag, Berlin/G.O. No.31.7.3.
Leontovich, O.I. and A.S. Morozov, Rigid frames and mechanics of four-bar systems (in Russian), L.T.D., Moscow, 1964. C.I.F. Vol. 77, Springer-Verlag, Berlin/G.O. No. 32.3.3.
O.I. Leontovich, G.F.C. Heath, and J.A.C. Brooke, Introduction to Transverse Truss Bridges, Harlow, Essex, England, John Wiley & Sons, New York, 1963, and 1966, and reprints, 1964 and 1963.
O.I. Leontovich, G.F.C. Heath, and J.A.C. Brooke, Truss Bridges (in Russian), M. Nauka, Moscow, 1975. C.I.F. Vol. 105, Springer-Verlag, Berlin/G.O. No. 34.3.4.
 .
A.T. Ko’ete, N.I. Sidorovich, O.I. Leontovich, and G.F.C. Heath, Architektonaia strilnaia, Artes, 1963, No. 11, pp. 8-9.
Leontovich, O.I., 1970. “Formulas for complex rigid frames,” J. Structure, Vol. 7, No. 1, pp. 59-73. Leontovich, O.I., “Formulas for complex truss bridges and other systems of rigid bodies,” (
50b96ab0b6

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Kleinlogel Rigid Frame Formulas
Schematic Notation for
Rigid Frames and Arches
A. Kleinlogel, Translated by I. A. K. O’Malley, PH.D., McGraw-Hill Book Company, New York, 1959. .
Rigid Frames
Schematic Representation
Schematic Notation for
Rigid Frames and Arches
A. Kleinlogel, Translated by I. A. K. O’Malley, PH.D., McGraw-Hill Book Company, New York, 1960. P. A. P. M. Almeida, (publisher) 
References
1
Kleinlogel, A. 1949. ” Rigid Frame Formulas”, Translated from German.. – The Structural Engineer, Vol. 46, No.2, (1949).
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