文档介绍：CHAPTER 6
DEFORMATION OF BEAMS
DUE TO BENDING
Mechanics of Materials
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第六章弯曲变形
材料力学
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§6–4 Determine deflections and angles of rotation of the beam by the principle of superposition
§6–5 Ckeck the rigidity of the beam
CHAPTER 6 DEFORMATION IN BENDING
§6–6 Strain energy of the beam in bending
§6–7 Method to solve simple statically indeterminate problems of the beam
§6–8 How to increase the load-carrying capacity of the beam
§6–1 Summary
§6–2 Approximate differential equation of the deflection curve of the beam and its integration §6–3 Method of conjugate beam to determine the deflection and the rotational angle of the beam
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§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
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§6-1 SUMMARY
Study range:Calculation of the displacement of the straight beam with equal sections in symmetric bending.
Study object:①checking rigidify of the beam;②Solving problems about statically indeterminate beams(to plementary equations for the geometric-deformation conditions of the beam )
DEFORMATION OF BEAMS DUE TO BENDING
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§6-1 概述
弯曲变形
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)。
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1).Deflection:The displacement of the centroid of a section in a direction perpendicular to the axis of the beam. It is designated by v . It is positive if its direction is the same as f,otherwise it is negative.
3、The relation between the angle of rotation and the deflection curve:
1、Two basic displacement quantities of to measure deformation of the beam
Small deflection
P
x
v
C
q
C1
f
DEFORMATION OF BEAMS DUE TO BENDING
2). Angle of rotation:The angle by which cross section turns with respect to its original position about the neutral axis .it is designated by . It is positive if the angle of rotation rotates in the clockwise direction, otherwise it is negative.
2、deflection curve:The smooth curve that the axis of the beam is transformed into after deformatio