Critical loading of struts and structures

Abstract

The main points of practical importance in the following paper a re :-(a) Discussion of stability of a prismatic homogeneous strut on simple supports, loaded laterally and longitudinally-criterion for failure.(b) Equation of three moments generalised to include the case where the central axis is constrained to pass through non-collinear points, and where lateral loading and longitudinal end thrusts exist.(<*) Application to the case of n bays, and the calculation of the moments, reactions, etc.(d) Case where one or more bays of Euler's critical length are present in the system. It is here shown that in general failure does not result.(e) Failure will not in general take place if 1 bays are of Euler's critical length, and the remaining one less.( / ) Case where one or more bays are twice Euler's critical length.(g) General condition of failure for a structure of n bays.(h) Conditions of strengthening or weakening by the addition of an extra bay to a structure critically loaded.(Jc) Extension of the previous work to include the external loading due to wires in tension attached to the beam in the region of the supports.(1) Clamped supports:-Determination of bending moments, etc., and con dition of failure.(to) Strengthening effect of clamped supports.