Stress Calculation Method for Hyperstatic Deep Beams with Single Span Subjected to Linear Load

To obtain the analytical method for calculating stress components of deep beams with I section subjected to linear loads, by taking a deep beam with a single span as an example, a reasonable mechanical model is built on the basis of previous research results.The analytical formulas for computing the normal stress, shear stress, and extrusion stress are derived by using an elastic mechanics method considering bending-shearing coupling, and the formulas are compared with those obtained by a material mechanics method.By defining and analyzing the dimensionless warping normal stress, the distribution law along the height and span of the beam, and the change law with the span-height ratio and flange-web area ratio are obtained.Resultsindicate that normal stress of the deep beam increases due to the effect of the shear force and cannot be calculated through the slender beam pure bending theory.The results provide an analytical calculation method for deep beams with I section subjected to linear loads.