The Theory of the Continuous Girder; Its Application to Girders With And Without Variable Cross-Sections

Howe, Malverd A. (Malverd Abijah), B. 1863

The book The Theory of the Continuous Girder; Its Application to Girders With And Without Variable Cross-Sections was written by author Howe, Malverd A. (Malverd Abijah), B. 1863 Here you can read free online of The Theory of the Continuous Girder; Its Application to Girders With And Without Variable Cross-Sections book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is The Theory of the Continuous Girder; Its Application to Girders With And Without Variable Cross-Sections a good or bad book?

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h^=h^=o. 1^=1:^=1. l2=n I. h^^ -K.
We have, as in (a), by a little reduction, n{}l~M.:)^-^i{^M,-M.:)=-niq (218) Or, {n^2){}l~M,:)^-—nlq. (219) Letting -4 (^,+g(.t+0-//--I>^ (220) We have, from (179) and (180), ^^__ {yA AA B:)2{n-^1)--^A,^-BA-Ys) n ^^21) M:,.Jl^ii:A^"l^^ii!^:l)^^±^±ii)i^ (222) Then, D {M-M,):^{Y,+A,+B.;) 2 {n-^iyiA.+B.+ Y^) n (K,+^,+^,)n -(A.+B.+ Y^) 2 (n+l) . . (223) Supported Beams. 133 Hence, —A,-B) (3 n+2)^{M,- M,) D . . (224) Substituting (224) in (219), it reduces to ( Y- ...Y,+A,^B,~A,- B;) {:3n+2) (n \-2)- - D n I Q . (225) Therefore, Since h,=^ht=o and h.^^ — A,, Y.,= - . /; 1 1 -:iA^ -. --ii^• |. . . , « ^ / j Mi±£!L) |. (228) Therefore, i;--K (:^29) And };--};- — -^ ); (280) Hence, ,. i)n/Q .1. j B,^ A,-B, ,.^.^ ^- ^^(j^T^rorr:^) ' 5 ^^^^^ But, D 1^4 (/W /.) (^.-1 4)-/;--4 /. 1.+4 L I, -1 i h lr\ 4 I'- - //- 4 f' \8 nr^Sw V- V (3 7r -rSn 'r-4)-~l'(3n^r-)(nn-) (232 j And Q-(l[(h'(/.-Q. (201) Substituting (201) and (232) in (231), we have y_^ llM+(h- Q'.- Q.

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