...Li-Kuo Chou; Ming-Xian Lin Purpose To evaluate the effectiveness of the Modified Adomian Decomposition Method (MADM) in analyzing the deflection of Bernoulli–Euler beams on linear and nonlinear elastic foundations with translational spring boundaries. Design/methodology/approach The study...

... at the element level and numerical at the structural level. A cracked span length beam element consisting of three cracked zones and two uncracked zones has been used. Closed form expressions for flexibility coefficients, end displacements, crack lengths, and mid-span deflection of the cracked span length beam...