Project: Trung Luong My Thuan Expressway Item Box Culvert 4x4M Section: Bottom Slab (Checking to Y axis longitudinal section of box culvert ) CHECKING SHEAR RESISTANCE Materials Yield strength of reinforcement fy 400 MPa Elastic modulus of Prestressing Steel Ep 197,000 MPa Elastic modulus of Reinforcement Es 200,000 MPa Elastic modulus of Concrete Ec 26,630 MPa Compress strength of concrete fc 30 MPa Checking load Maximum moment Mu 14,715 N.mm Maximum shear Vu 27,468 N Section properties Depth h 350 mm Effective web width b w 1 ,000 mm d s 110 mm Tension reinforcement Diameter mm 12 bar 5 Area of cross section of tensile reinforcement A st 565 mm2 dst 240 mm Effective shear depth dv 252 mm Sức kháng cắt Vr = j Vn V n = min {j(Vc + Vs + Vp); 0.25fcbvdv + Vp} + V c : nominal shear resistance of concrete 0.083b(fc)0.5bwdv + V s : nominal shear resistance of reinforcement Ayfydv(cosq+cosa)sina)s Distance from extreme tension fiber to the centroid tensile reinforcement Quantity Distance from extreme compression fiber to the centroid tensile reinforcement a : angle of inclination of transverse reinforcement to longitudinal axis b : factor indicating ability of diagonally cracked concrete to transmit tension q : inclination angle of diagonal compressive stress Resistance factor for shear j 0.9 Xác định b q Factor indicating ability of diagonally cracked concrete to transmit tension b 3.7 Strain in the tensile reinforcement ex 0.000 Inclination angle of diagonal compressive stress q 27.79 độ V c Nominal shear resistance of concrete Vc 426,796 N V p Component of effective prestresed force in the direction of the applied shear Vp 0 N Checking region requiring transverse reinforcement: Vu và 0.5j(Vc+Vp) Unncessary Minimum tranverse reinforcement within distance s s: A v 170.479 mm2 Data of transverse reinforcement Group 1 a1 90 degrees Spacing of stirrups s1 150 mm Area of shear reinforcement within a distance s: Av1 Diameter 12 mm Area of cross section of shear reinforcement Av1 mm2 Nominal shear resistance of reinforcement Vs1 N Group 2 a2 45 degrees Spacing of stirrups s2 500 mm Area of shear reinforcement within a distance s: Av2 Diameter 12 mm Quantity Angle of inclination of transverse reinforcement to longitudinal axis + V p : component of effective prestresed force in the direction of the applied shear Angle of inclination of transverse reinforcement to longitudinal axis Quantity Project: Trung Luong My Thuan Expressway