Advanced Methods of Structural Analysis

Appendix 555 Ta b l e A. 4 Reactions of fixed–fixed beams l A B EI, a h No Loading conditions Reactions and bending momentdiagra ...

556 Appendix Ta b l e A. 4 (continued) No Loading conditions Reactions and bending momentdiagrams Expressions for bendingmoments ...

Appendix 557 Ta b l e A. 4 (continued) 6 q RA RB M A M A M B M B M A D ql 2 20 ;M B D ql 2 30 R A D (^720) ql; RB D (^320) ql 7 ...

558 Appendix Ta b l e A. 5 Reactions of fixed-sliding beams l A B EI, a h Expressions for bending No Loading conditions Reaction ...

Appendix 559 Ta b l e A. 5 (continued) No Loading conditions Reactions and bending moment diagrams Expressions for bendingmoment ...

560 Appendix Ta b l e A. 6 Reactions of uniform beams with elastic supports ( k and krot are the stiffnesses of the supports) No ...

Appendix 561 Ta b l e A. 6 (continued) 4 (u +u P =1) ul ul C k M A M A ul ul C M B M C R A RB M A D Pl 2 64 u  (^2) u 2 .^3  / ...

562 Appendix Unit reactions of nonuniform standard members: Ta b l eA.7andA.8present the reactive moments for fixed–pinned and f ...

Appendix 563 Ta b l e A. 9 One-span beams. Influence lines for boundary effectsPinned–pinned beam Clamped–pinned beam Clamped–cl ...

564 Appendix Tabulated data for uniform continuous beams.Two span beams with equal spans: B ll AC Ta b l e A. 1 0 Reactions and ...

Appendix 565 Three span beams with equal spans: B ll l D AC Ta b l e A. 1 1 Reactions and bending moments due to different types ...

566 Appendix Example. For beam shown below to find the bending moments at supportsB andC. B lll D A C q l/^3 l/^3 l/ 2 P^1 P^2 P ...

Appendix 567 Two span beam with equal spans: (Odd sections are not shown) 02 4681012 ACl B l Ta b l e A. 1 3 Influence lines for ...

568 Appendix 4.Reaction at supportB: RB! X YD 0 WP0:0926PC0:2407PCRBD 0 !RBD0:8519PkN 5.Bending moments at section 8 is M 8 DR ...

Appendix 569 Beams with three different spans. The loadqis applied at the first span: A D l 1 l 2 B C q 1 l 3 The bending moment ...

570 Appendix Beam with three different spans. The loadqis applied at the second span: A l 1 l 2 B C q 2 l 3 D The bending moment ...

Appendix 571 Beam with three different spans. The loadqis applied at the third span: A l 1 l 2 B C q 3 l 3 D The bending moments ...

572 Appendix Beam with three equal spans(Odd sections are not shown) 024681012 ll l 14 16 18 Ta b l e A. 1 7 Influence lines for ...

Appendix 573 Influence lines for shear forceatsection6areshownbelow. 024681012 lll 14 16 18 0.09870.12340.00001.00000.69130.3087 ...

574 Appendix Beams with equal spans. Settlements of supports Bending moments at supports areMDk.EI=l^2 /,whereis a vertical se ...