Essentials in the theory of framed structures . nce £//i + EIti = -ET(l,l Then -—{k — P) -\ 1 = — MaP o 3 3 Pl{k - k^) or . M = ^^——- 4 + 6(X Therefore Ri = P{i - k) - ^^^ ~ ^^ 4 + 6flPik - k^) R2 = Pk + 4 + oaP{k - k^) Rs = 4 + 6aPik - 4 + 60 173. No Moment Transmitted.—The span in Fig. 169& con-sists of two restrained beams, connected at mid-span in such away that shear, but no bending moment, can be transmittedfrom one beam to the other. The span therefore represents phase of partial continuity from that of the previousproblem. The principle here involved is employed in the 272


Essentials in the theory of framed structures . nce £//i + EIti = -ET(l,l Then -—{k — P) -\ 1 = — MaP o 3 3 Pl{k - k^) or . M = ^^——- 4 + 6(X Therefore Ri = P{i - k) - ^^^ ~ ^^ 4 + 6flPik - k^) R2 = Pk + 4 + oaP{k - k^) Rs = 4 + 6aPik - 4 + 60 173. No Moment Transmitted.—The span in Fig. 169& con-sists of two restrained beams, connected at mid-span in such away that shear, but no bending moment, can be transmittedfrom one beam to the other. The span therefore represents phase of partial continuity from that of the previousproblem. The principle here involved is employed in the 272 THEORY OF FRAMED STRUCTURES Chap. VI design of a bascule span composed of two leaves connected by ashear lock. The principle must be modified, however, in itsapplication to a bascule span; for the leaves do not as a rulehave a constant moment of inertia, nor are they in perfectrestraint at the points of support. A constant moment of inertia and perfect restraint will beassumed in finding the shear V on the pin-connection at C,. I x-OkJl-x-- -hi


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Keywords: ., bookcentury1900, bookdecade1920, booksubjectstructu, bookyear1922