DEFLECTION OF FOUR TYPES OF CANTILEVER BEAMS WITH VARIABLE CROSS SECTION UNDER LATERAL TRIANGULAR DISTRIBUTED LOADS1)

The deflection of cylindrical, conical, parabolic and hyperbolic cantilever beams with reversed sections under laterally triangular distributed loads is studied. Firstly, from the distribution of moment of inertia along the length direction of four types of rotating cantilever beams, the deflection curve equation under any lateral triangular distributed load is obtained. Based on the deflection curve equation under the linear load, the deflection at the lower end of the lateral triangular distributed load is obtained. Under the assumption of equal length and equal volume, the minimum deflection among the four types of cantilever beams is found by comparing the end deflection values. It is shown that among the four types of cantilever beams under lateral triangular distributed load, the characteristic parameters are within a specific range, and the deflection of the cantilever beam with hyperbolic bus is the smallest.