Advanced Methods of Structural Analysis

Appendix 575 A. Foci points: Each span of a beam contains two foci points. They are left and right points. If loadedspans are lo ...

576 Appendix The left recursive relationship fornext.nC1/span in terms of theprevious leftfoci quotientknLis as follows knLC 1 D ...

Appendix 577 Hingeless parabolic arches .f =l / .^1 =^4 /. Cross section of the arch uniform or slightly changing through the s ...

578 Appendix Ta b l e A. 1 9 (continued) Loading R A H M A M B M C 4 q ul ql^2 u.2  2 u 2 C (^3) u / ql 2 8f (^3) u .10  15 u ...

Appendix 579 Hingeless non-uniform parabolic archesIx D IC cos ̨ ; D 454 IC A C f ;k 2 D 1 1 C a A B C l f a Ix HA H B RA RB M ...

580 Appendix Ta b l e A. 2 1 Load characteristicDD Rl 0 Q^2 .x/dxfor analysis of gentile cables Loading Load characteristicD 1 l ...

Appendix 581 Ta b l e A. 2 2 Reactions of beams subjected to compressed load and unit settlement ofsupport, Dl r P EI Pinned-cl ...

582 Appendix Ta b l e A. 2 3 Reactions of compressed-bent beams;Dl r P EI Beam under concentrated loadF and axial compressive f ...

Appendix 583 Ta b l e A. 2 4 Special functions for stability analysis Functions Form 1 Form 2 Maclaurin series ' 1 . / ^2 tan ...

584 Appendix Ta b l e A. 2 5 (continued) ' 1 . / ' 2 . / ' 3 . / ' 4 . / 1 . / 2 . / 2.3 0.5772 0.8099 1.1050 0.9083 1 ...

Appendix 585 Ta b l e A. 2 6 One span beams with classical boundary conditions. Frequency equation andeigen- values Type of beam ...

Bibliography Textbooks Clough RW, Penzien J (1975) Dynamics ofstructures. McCraw Hill, New York Cook RD, Malkus DS, and Plesha M ...

588 Bibliography Karnovsky IA, Lebed OI (2003) Free vibrations of beams and frame. Eigenvalues and eigenfunc- tions. McGraw-Hill ...

Index A Ancillary diagram displacement-load (Z-P), 372, 376–379 internal forces-deformation (S-e), 372, 377–378 joint-load (J-L) ...

590 Index Coordinates global, 369–371, 377, 390–392, 395, 398, 401, 405, 409, 412, 415 local, 369–371, 377, 381, 387–392, 395, 3 ...

Index 591 resolving equations, 387 settlement of supports, 246–251, 379 static indeterminacy, 222–244 symmetrical unknowns, 333 ...

592 Index fixed loads, 393 influence lines, 399 resolving equations, 387 settlement ofsupports, 379 Maxwell theorem, 190–191 Max ...

Index 593 Statically indeterminate arches, 237–243, 293, 333, 339, 484 beams, 151, 215, 222–224, 280, 294, 331, 358, 369, 393, 4 ...