Stresses in Structures

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COMBINATIONS OF BUCKLING AND BENDING. 193 Terras higher than those given are negligible in practical examples. Now e5^LV 12 fl*L 2 \ _ . * WLW( PL 2 384 A 120 /" = 384 P \ ~ 10 "early , . , It will be noted that the first term of tlrs expression for the maximum deflection is equal to the deflection when the trans- verse load only is acting, and the second term is the additional deflection due to the addition of P. The second term is usually small compared with the first, and may be neglected in... order to simplify the practical applications of the equation. A further simplification may be made by substituting %WL=3/ t =maxi- mum moment due to transverse load.
2/ D; ax= ^g-^j- approximately (65) max -J Substituting the value of 7/ raa x . (66) The law of super-position of stresses holds when the last term is negligible.
Equation (66) is best solved by trial. A numerical example will illustrate the application of the above equations and the effect of the approximations.
Assume a column of 2 channels 15 in.


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