Mechanics of materials CHAPTERII ENERGYMETHODS
Mechanics of Materials
第十一一方
CHAPTERII ENERGY METHOD D811-1 GENERAL EXPRESSIONS OF THE STRAIN ENERGY S811-2 MOHRS THEOREM(METHOD OF UNIT FORCE □]§11-3 CATIGLIANOS THEOREM
CHAPTER 11 ENERGY METHOD §11–1 GENERAL EXPRESSIONS OF THE STRAIN ENERGY §11–2 MOHR’S THEOREM(METHOD OF UNIT FORCE) §11–3 CATIGLIANO’S THEOREM
第十一章能量方法 □§11-1变形能的普遍表达式 □§11-2莫尔定理(单位力法 §11-3卡氏定理
第十一章 能量方法 §11–1 变形能的普遍表达式 §11–2 莫尔定理(单位力法) §11–3 卡氏定理
ENERGYMETHOD 8 11-1 GENERAL EXPRESSIONS OF THE STRAIN ENERGY 、 Principle of energy Strain energy stored in the elastic body is equal to the work done by external forces, that is: U-W Method to analyze and calculate displacements deformations and internal forces of deformable bodies by this kind of relation is called energy method 2, Calculation of the strain energy of rods 1). Calculation of the strain energy of rods in tension or compression N2(x) dx or U= Density of the 丿2EA =/2E, 4: strain energy. O8
§11–1 GENERAL EXPRESSIONS OF THE STRAIN ENERGY 1、Principle of energy： 2、Calculation of the strain energy of rods： 1). Calculation of the strain energy of rods in tension or compression： = L x EA N x U d 2 ( ) 2 = = n i i i i i E A N L U 1 2 2 2 1 u = Strain energy stored in the elastic body is equal to the work done by external forces，that is: U=W Method to analyze and calculate displacements 、deformations and internal forces of deformable bodies by this kind of relation is called energy method. or Density of the strain energy: