Stress Intensity Factors for Hydraulic Hose Routed Through Ninety Degree Bends

A quarter section of a circular torus with both ends fixed is used to geometrically model hydraulic hose commonly found in applications requiring directional change in fluid flow. Thin shell differential equations of equilibrium are solved with curvatures based on Donnell assumptions. Classical laminate analysis is used to determine peak layer stress for both wire reinforced braided and spiral elastomeric hose. Circumferential and axial stress intensity factors are documented for pressure, bend radius and hose size. Historical minimum bend guidelines obtained by testing and experience are shown to correlate satisfactorily with theoretical stress results.