(2)methods of analysis; -----difference 研究方法-不同点: Mechanics of materials: some assumptions on the strain condition or the stress condition are made 材料力学:对应变或应力情况作某些假定 Elasticity: no assumptions on the strain condition or the stress condition are made 弹性力学:对应变或应力情况不作假定 弹性力学第一章
弹性力学第一章 16 (2) methods of analysis:------ difference 研究方法-------- 不同点: Mechanics of materials: some assumptions on the strain condition or the stress condition are made 材料力学： 对应变或应力情况作某些假定 Elasticity：no assumptions on the strain condition or the stress condition are made. 弹性力学 : 对应变或应力情况不作假定
Mechanics of materials. some assumptions on the strain condition or the stress condition are made The assumptions simplify the mathematical derivation to a certain extent The assumptions inevitably reduce the degree of accuracy of the results obtained 弹性力学第一章
弹性力学第一章 17 Mechanics of materials: some assumptions on the strain condition or the stress condition are made The assumptions simplify the mathematical derivation to a certain extent. The assumptions inevitably reduce the degree of accuracy of the results obtained
Elasticity no assumptions on the strain condition or the stress condition are made The results obtained in elasticity are more accurate and may be used to check the approximate results obtained in mechanics of materials 弹性力学第一章 18
弹性力学第一章 18 Elasticity： no assumptions on the strain condition or the stress condition are made. The results obtained in elasticity are more accurate and may be used to check the approximate results obtained in Mechanics of materials
.The problem of bending of a straight beam under transverse loads .It is assumed in mechanics of materials that a plane section of the beam remains plane after bending, which leads to the linear distribution of bending stresses . No assumption, that a plane section of the beam remains plane after bending, is made in elasticity 弹性力学第一章
弹性力学第一章 19 •The problem of bending of a straight beam under transverse loads. •It is assumed in mechanics of materials that a plane section of the beam remains plane after bending, which leads to the linear distribution of bending stresses. •No assumption, that a plane section of the beam remains plane after bending, is made in Elasticity
.a prismatical tension member with a small hole .It is assumed in mechanics of materials that the tensile stresses are uniformly distributed across the net section of the member. .The analysis in elasticity shows that the stresses are by no means uniform. but are concentrated near the hole. 弹性力学第一章
弹性力学第一章 20 •A prismatical tension member with a small hole •It is assumed in mechanics of materials that the tensile stresses are uniformly distributed across the net section of the member. •The analysis in elasticity shows that the stresses are by no means uniform, but are concentrated near the hole