Failure mechanism and shear strength of steel–concrete–steel sandwich deep beams

Shear strength of steel–concrete–steel sandwich deep beams: A simplified approach

“…An analytical model has been developed to explain the force transfer mechanism and predict the shear strength based on the experimentally observed failure modes (Leng et al, 2015a). The model focused on the strength of the continuous span (with a length of λh in Figure 3), while the strengths of its lateral cantilever spans (with a length of λ a h or λ b h ) can be calculated as independent simply supported beams.…”

“…As for the “bottom triangular area damage + horizontal cracking” failure pattern, instead of equation (4), another ultimate state condition concerning concrete cracking is introduced, and the other equations and solution processes remain unchanged. The physical meaning is clear yet solving polynormal equations is inevitable in the calculation procedures (Leng et al, 2015a). The mathematical software MATLAB is used to give the solution process.…”

“…The shear capacity of the bottom triangular area ( R d ) is still obtained with equation (8), but the shear force transferred through part 1 ( R u ) is controlled by concrete cracking outside the support. According to the original mechanical model (Leng et al, 2015a), in simply supported beams, the horizontal crack outside the support is supposed to result from the vertical component of the diagonal force K 1 circled in Figure 8. The vertical component of K 1 (termed as K c ) and its acting region L K 1 can be calculated as…”

About solution of multipoint boundary problem of static analysis of deep beam with the use of combined application of finite element method and discrete-continual finite element method. part 1: formulation of the problem and general principles of approximation

“…1) [7,[10][11][12]14,15,[17][18][19][20][21][22][23]25,[27][28][29][30][31][32]. Some elements of notation system is presented at Fig.…”

“…where k U is global vector of nodal unknowns (subscript " ) (k " corresponds to the number of subdomain (20), which is constructed in the special form convenient for problems of structural mechanics [1][2][3][4][5]35]; is convolution notation; k C is the vector of constants of order …”