2016工程力学-材料力学（高教版）教案：第六章 弯曲变形.docVIP

第六章 弯曲变形 1Mechanics of Materials23§ 6–4 Determine deflections and angles of rotation of the beam by theprinciple of superposition§ 6–5 Ckeck the rigidity of the beamCHAPTER 6 DEFORMATION INBENDING§ 6–6 Strain energy of the beam in bending§ 6–7 Method to solve simple statically indeterminate problems ofthe beam?6? How to increase the load-carrying capacity of the beam?6? Summary?6? Approximate differential equation of the deflection curve ofthe beam and its integration?6? Method of conjugate beam to determine the deflection andthe rotational angle of the beam4§ 6–1 概述§ 6–2 梁的挠曲线近似微分方程及其积分§ 6–3 求梁的挠度与转角的共轭梁法§ 6–4 按叠加原理求梁的 挠度与转角§ 6–5 梁的刚度校核第六章 弯曲变形§ 6–6 梁内的弯曲应变能§ 6–7 简单超静定 梁的求解方法§ 6–8 如何提高梁的承载能力§ 6－１ SUMMARYStudy range,Calculation of the displacement of the straight beam withequal sections in symmetric bending,Study object：① checking rigidify of the beam；② Solving problems aboutstatically indeterminate beams（ to provide complementary equations for thegeometric-deformation conditions of the beam )§ 6－１ 概 述研究范围：等直梁在对称弯曲时位移的计算。研究目的：①对梁作刚度校核；②解超静定梁（为变形几何条件提供补充方程）。1).Deflection,The displacement of the centroid of a section in a direction perpendicularto the axis of the beam,It is designated by v, It is positive if its direction is the same asf,otherwise it is negative,3,The relation between the angle ofrotation and the deflection curve,1,Two basic displacement quantities of to measure deformation of the beam( 1 )ddtg fxf ???? ??Small deflectionPxvC?C1 f2),Angle of rotation,The angle bywhich cross section turns with respectto its original position about the neutralaxis,it is designated by ?,It ispositive if the angle of rotation rotatesin the clockwise direction,otherwise itis negative,2,deflection curve,The smooth curve that the axis of the beam istransformed into after deformation is called the deflection curve,Its equation isv =f (x)1.挠度：横截面形心沿垂直于轴线方向的线位移。 用 v表示。与 f 同向为正，反之为负。2.转角：横截面绕其中性轴转动的角度