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- W2330360018 abstract "For the continuous curved girder bridge under the vertical loads, the three dimensional stress analysis is presented on the basis of the torsion bending theory.In a continuous curved girder bridge having a number of spans, the cross sectional quantities as well as the principal dimensions will generally differ from those in adjacent span and it is a statically indeterminate structure. For the sake of analysis, the simply supported system will be produced by cutting the structure at each intermediate supports m. Then both the bending moments Mm and the warping moments _??_m that must be applied at the cross sections in order to close the gaps and restore continuity are the statical redundancies of the problem. From the condition of continuity, the theorem of least work leads to a set of elastic equations (11) for the unknown stress resultants Mm and _??_m.The coefficients a, b and d contained in the equations can be easily determined by the formulas (12) to (49), and also the load terms Lm and Nm, are given by the formulas (50) to (98) for some typical loading conditions.Solving these equations to find the magnitudes of the unknown quantities and adding the contributions due to the end moments Mm, _??_mand due to the applied loading upon the imaginary simply supported system, the final stress resultants, namely, the bending moment Mym, the warping moment Mwm, the St. Venant's torsional moment Tsm the secondary torsional moment Twm, the shear force Qm due to bending and the total torsional moment Tm, of the mth span can be readily evaluated from the expressions (5) to (10). Hence stress distribution at any cross section can be clarified by means of the formulas (51) and (53) given in reference (3).Similarly the deformation, namely, the deflection δm of the shear center and the rotating angle βm about the same point at any cross section are given by (128) and (129) respectively.A three-equal-span continuous curved girder bridge with the same constant section as King County shown in Fig. 2 are treated as a numerical example of the foregoing analysis.From these results of the estimation, the influence lines of the stress resultants and the deformations at some selected cross section are illustrated in Fig. 3 to 21.Thus the effects of the curvature upon the basic characteristic in the continuous curved bridge can be explicitly seen by examining of all the data obtained in this paper." @default.
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- W2330360018 date "1963-01-01" @default.
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- W2330360018 title "THREE DIMENSIONAL STRESS ANALYSIS FOR CONTINUOUS CURVED GIRDER BRIDGE" @default.
- W2330360018 doi "https://doi.org/10.2208/jscej1949.1963.91_13" @default.
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