文克勒地基板在条形均布荷载作用下的极限承载力

Ultimate Bearing Capacity of Plate on Winkler Foundation under Uniform Strip Load

文克勒地基板在条形均布荷载作用下,荷载区域中部板内弯矩最先达到屈服弯矩Ms,板底出现裂缝。当不计板体的残余弯曲强度时,裂缝由下而上贯穿板体,地基板失去承载能力。当考虑板体的残余弯曲强度时,裂缝处的弯矩下降为M0,在距离荷载中心tm的地方,出现第二极限弯矩Mm;当Mm达到屈服弯矩Ms时,地基板表面出现新的裂缝,板体失去承载能力。当不计板体的横向差异时,条形均布荷载作用下的文克勒地基板可简化为弹性地基梁模型进行求解。现借助弹性地基梁模型,推导了集中荷载、条形均布荷载作用下地基板(梁)的弹性解和极限承载力的解,丰富了水泥混凝土地坪、堆场和路面等铺面结构设计的理论,研究成果已在《钢锭铣削型钢纤维混凝土应用技术规程》中应用。

The bending moment of the Winkler base plate in the middle of the load area is the largest under uniform strip load.When the maximum bending moment reaches the yield bending moment(Ms),cracks will occur at the bottom of the plate.If the residual bending strength of the plate is ignored,the crack penetrates the plate from bottom to top,and the base plate will lose its bearing capacity.If the residual bending strength of the plate is considered,the bending moment at the crack drops to MO.At a distance from the load center tm,the second limit bending moment Mm appears.When Mm reaches the yield bending moment Ms,new cracks will appear on the surface of the base plate,and the plate will lose its bearing capacity.If the lateral difference of the plate is ignored,the Winkler foundation plate under the strip uniform load can be simplified as an elastic foundation beam model for solution.On the basis of this model,the elastic solution and ultimate bearing capacity of the foundation plate(beam)under the action of concentrated load and strip uniform load were derived.The research results have enriched the theory of paving structure design for cement concrete floors,storage yards and pavements,and have been applied in the"Technical Specification for Application of Mill-cut Steel Fiber Reinforced Concrete".