Tie-Rods with Lateral Loads. 273 



For a Strut :— 

 EI?/=Mcos^ + Nsm^ + A + K ( 2? + T^ 2 + (A i; Bt,/s) J . (9) 



where M and N are arbitrary constants, 

 ^~ ^ + 2ln 2 ' 



iVfiEI + fr 



For a Tie-rod : — 



Ely = Me"* + Ne~ nx + A ' + B!a + T'^ 2 + (A/, B/, it) , . (10) 

 where 



; " = Vfr 



where M and N are arbitrary constants, 



2t , «o-i(Mo±Mi) 



?i 2 2/n 2 ' 



Af - n 2 + 2V ' 



B/= 



+ iV 



When y is known, the greatest value of the bending- 

 moment is known. A line through the centre of a section at 

 right angles to the plane of bending is always called the 

 neutral line of the section, even in cases like the present where 

 the name is a little misleading ; and if z c and z t are the greatest 

 distances of points in the section from the neutral line, on the 

 compressive and on the tensile sides respectively, and if fi is 



