Design of 2-hinged spandrel braced steel arch double track railway bridge, 400 ftspan. . - In the arch of/v//r,let us consider the right end asfixed and the left end free to move. Now if /e considerany member,as OtE, as being strained iue to a stress set upin that member, and if we assume no other member beingstrained, then the span of the arch will be changed by anamount ^ L , which will be proportional to the horizontalthrust at the free end. This thrust, of course, is greatenough to prevent all movement and by finding the amount ofthis possible movement we find the amount of the thrustwhich


Design of 2-hinged spandrel braced steel arch double track railway bridge, 400 ftspan. . - In the arch of/v//r,let us consider the right end asfixed and the left end free to move. Now if /e considerany member,as OtE, as being strained iue to a stress set upin that member, and if we assume no other member beingstrained, then the span of the arch will be changed by anamount ^ L , which will be proportional to the horizontalthrust at the free end. This thrust, of course, is greatenough to prevent all movement and by finding the amount ofthis possible movement we find the amount of the thrustwhich resists it. In the caseof the member (9^ ,the motion canbe considered astaking place aboutthe center /^,which is the cen-ter of momentsfor the member being considered. /7^ = z^ (^ F 4 \ \^ ?^ / \\ FJ-y \ \/ ^ / /?;/ = .X \ 1 ^. J V Jl^ ^r^P \j \\/. //c/.c:.We may no?/ 7/rite //7 ^//T7//c7^ 7l^7C7/^^/e^ f7/^F ar?^ /7FJ^ -8- ^L ^L y 7 ,^F The distortion dia^^rans and the value of ^/_for astrain in a vertical post, in a diagonal, and in a rilD mem-ber are givsn belov;: VERTICAL POST:. ?/7F /r? c5>^7//c-^r 7r-/c7/7c^/c^ /7/^h \zr7cy/7/^rf. Z\ -9- DIAGONAL BRACE:


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