湖南工业大学学报
湖南工業大學學報
호남공업대학학보
JOURNAL OF HUNAN UNIVERSITY OF TECHNOLOGY
2015年
2期
31-37
,共7页
Winkler地基%十字交叉基础梁%半无限长梁%节点%荷载分配
Winkler地基%十字交扠基礎樑%半無限長樑%節點%荷載分配
Winkler지기%십자교차기출량%반무한장량%절점%하재분배
Winkler foundation%crossed foundation beam%semi-infinite beam%joint%load distribution
将半无限长梁自由端无限延伸,形成无限长梁;基于Winkler地基上无限长梁的解答,求得集中力偶作用下原半无限长梁自由端处的剪力和弯矩。利用半无限长梁自由端需满足弯矩及剪力为零的条件,求得需在自由端施加的外荷载。分别计算外荷载和集中力偶在作用点处产生的挠度,叠加求得集中力偶作用下半无限长梁在作用点处的挠度,并提出集中力偶作用下的悬挑影响系数计算公式。根据静力平衡和变形协调条件,建立竖向荷载和力矩共同作用下具有悬挑的十字交叉基础的节点分配荷载的一般公式。
將半無限長樑自由耑無限延伸,形成無限長樑;基于Winkler地基上無限長樑的解答,求得集中力偶作用下原半無限長樑自由耑處的剪力和彎矩。利用半無限長樑自由耑需滿足彎矩及剪力為零的條件,求得需在自由耑施加的外荷載。分彆計算外荷載和集中力偶在作用點處產生的撓度,疊加求得集中力偶作用下半無限長樑在作用點處的撓度,併提齣集中力偶作用下的懸挑影響繫數計算公式。根據靜力平衡和變形協調條件,建立豎嚮荷載和力矩共同作用下具有懸挑的十字交扠基礎的節點分配荷載的一般公式。
장반무한장량자유단무한연신,형성무한장량;기우Winkler지기상무한장량적해답,구득집중력우작용하원반무한장량자유단처적전력화만구。이용반무한장량자유단수만족만구급전력위령적조건,구득수재자유단시가적외하재。분별계산외하재화집중력우재작용점처산생적뇨도,첩가구득집중력우작용하반무한장량재작용점처적뇨도,병제출집중력우작용하적현도영향계수계산공식。근거정력평형화변형협조조건,건립수향하재화력구공동작용하구유현도적십자교차기출적절점분배하재적일반공식。
Semi-infinite beam is extended from free end to infinitely long beam. Based on solutions for infinitely long beam on Winkler foundation, the shear force and bending moment at the free end of semi-infinite beam under the concen-trated couples are derived. The external load applied at the free end is obtained by using the condition of the free end to meet zero moment and zero shear. The deflections at the action points are calculated separately under external loads and concentrated couples and the deflection at the action points are calculated under superposition of concentrated couples and external loads, and the calculation formula for cantilever influence coefficient with the action of concentrated couple is presented. According to the conditions of static equilibrium and deformation compatibility, general formulas for distribute load on joints of cantilever crossed foundation beams under vertical load and moments are given.