Three-Point Bending at Large Deflections of Beams with Different Moduli of Elasticity in Tension and Compression

Abstract

Abstract An analytical investigation of three-point bending at large deflections was carried out with materials exhibiting different moduli of elasticity in tension and in compression. It was found that the solutions developed by the authors elsewhere for equal moduli materials were still valid, provided that load and beam depths were replaced by equivalent values derived by multiplying the actual values by factors that were functions of the moduli ratio only. The moduli ratio, even for small deviations from unity, was found to influence the behavior of the system considerably. Interaction with friction at the supports could render experimental results unreliable, and hence complete knowledge of the reaction forces during the bending test, both by magnitude and direction, appears to be necessary. Experimental evidence appears to support the present theoretical predictions.