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Full Description
In keeping with the general trend towards rationalisation, static calculations have of late also been programmed by electronic computers. The number of problems which can be advan tageously resolved in this way is, however, very limited as yet, partly on account of the relati vely high cost involved and partly due to the waiting time the statician must suffer after collect ing together his data and, finally, because the programming possibilities of the computer are limited. Nonetheless, if static calculations have to be rationalised, there is another way: all beam structures-whether they be continuous beams or frame constructions-are arithmetically based on individual spans which are freely supported or fixed at the ends. If the basic values for these can be ascertained quickly and accurately, then a considerable part of the arithmetical work is already done. It is the aim of this work to provide the statician with these values. An attempt has been made to deal as comprehensively as possible with all the cases of loading likely to arise in practice. Naturally, one case or another is bound to happen more frequently whilst others are seldom encountered. However, this allembracing programme is intended to make it possible for the user of this work, after a brief, familiarising period, always to use the same arithmetical pro cedure, the choice of the actual method being left to him.
Contents
A. General remarks.- B. Relationships between fixed end moments and deformation values in the simply-supported beam.- C. Relationsships between loading (qx), shearing forces (Qx), moments (Mx), angles of rotation (?, ß) and deflection curve (y).- D. Examples of application of the tabular values for the singlespan beam under vertical loading.- E. The tables for determining the secondary moments due to prestressing (Tables V-1 to V-5).- Table of the ratios of moments of inertia of T-cross-section to those of rectangular cross-section.- Loading 1 (to Table 1): Bound line load, uniformly distributed.- Loading 2 (to Table 2): Symmetrical line load, uniformly distributed.- Loading 3 (to Table 3): Symmetrical twin line load, uniformly distributed.- Loading 4 (to Table 4): Continuous triangular load.- Loading 5 (to Table 5): Bound triangular line load.- Loading 6 (to Table 6): Symmetrically bound triangular twin line load.- Loading 7 (to Table 7): Symmetrical twin triangular load.- Loading 8 (to Table 8): Bound triangular line load.- Loading 9 (to Table 9): Symmetrically bound triangular load.- Loading 10 (to Table 10): Bound triangular line load.- Loading 11 (to Table 11): Symmetrical triangular load.- Loading 12 (to Table 12): Continuous trapezoidal load.- Loading 13 (to Table 13): Bound trapezoidal load.- Loading 14 (to Tables 14 A-C): Symmetrical trapezoidal mid-span line load.- Loading 15 (to Table 15): Bound trapezoidal load.- Loading 16 (to Table 16): Bound load according to a quadratic parabola.- Loading 17 (to Table 17): Symmetrical load according to a quadratic parabola.- Loading 18 (to Table 18): Bound load according to a quadratic parabola.- Loading 19 (to Table 19): Bound load according to a quadratic parabola.- Loading 20 (to Table 20): Symmetrical loadaccording to a quadratic parabola.- Loading 21 (to Table 21): Bound load according to a quadratic parabola.- Loading 22 (to Tables 22 A-E): Free uniformly distributed line load.- Loading 23 (to Tables 23A-F): Free unsymmetrical triangular line load.- Loading 24 (to Tables 24 A-E): Free symmetrical triangular line load.- Loading 25 (to Tables 25 A-B): Free symmetrical twin triangular line load.- Loading 26 (to Tables 26 A-E): Free line load according to a quadratic parabola.- Loading 27 (to Table 27): Concentrated load in any position.- Loading 28 (to Table 28): Several symmetrically arranged concentrated loads, dividing the span into equal intervals.- Loading 30 (to Table 30): Application of a pure bending moment.- Loading 33: Settling of supports.- Loading 34: Differences in temperature.- Loading V-l (to Table V-1) Prestressing: Prestressing tendon according to a quadratic parabola, centrically anchored at the end.- Loading V-2 (to Table V-2) Prestressing: Chapeau-Tendon.- Loading V-3 (to Tables V-3 a and b) Prestressing: Prestressing tendon according to a cubic parabola over intermediate supports.- Loading V-4 (to Table V-4) Prestressing: Combination in end-span: Prestressing tendon according to a quadratic parabola changing into cubic parabola.- Loading V-5 (to Tables V-5a-k) Prestressing: Tendon over a whole inner span according to a cubic parabola.
