Mechanics of Materials

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**课程名称:材料力学 (Mechanics of Materials)** **课程概述:** 本课程旨在教授学生材料力学的基础理论与实际应用。通过学习,学生将能够独立、熟练地运用所学知识,确定材料的应力、应变及各种力学性能,并能对承受轴向、扭转、弯曲及组合载荷的结构进行分析。 **课程内容要点:** * **应力 (Stress):** * 可变形体的概念介绍 * 平均应力、法向应力与剪应力 * 许用应力 * **应变 (Strain):** * 法向应变与剪应变 * 纵向应变与横向应变 * **材料力学性能 (Mechanical Properties of Materials):** * 拉伸与压缩试验 * 应力-应变曲线 * 延性材料与脆性材料的应力-应变行为 * 胡克定律 (Hooke's law) * 应变能 (Strain energy) * 泊松比 (Poisson's ratio) * **轴向载荷 (Axial Loads):** * 圣维南原理 (Saint-Venantt's principle) * 轴向载荷构件的弹性变形 * 叠加原理,静不定轴向载荷构件 * 热应力,应力集中 * **扭转 (Torsion):** * 圆轴的扭转变形 * 扭转公式,功率传递 * **弯曲 (Bending):** * 剪力图与弯矩图 * 直杆的弯曲变形,抗弯公式 * **横向剪切 (Transverse Shear):** * 直杆中的剪切 * 剪切公式 * 梁中的剪应力 * **组合载荷 (Combined Loadings):** * 薄壁压力容器 * 组合载荷引起的应力状态 * **应力变换 (Stress Transformation):** * 平面应力变换及其一般方程 * 主应力,平面内最大剪应力 * 莫尔圆 (Mohr's circle) - 平面应力 **整体能力培养目标:** 使学生掌握材料力学的基础理论,并能将其知识应用于实际问题中,独立分析和解决承受各种载荷的结构件的应力、应变和力学性能问题。

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课程详情

Stress and strain, stress stain diagrams, linear and volumetric strain, bars of uniform strength; stresses in axial loading, bending and torsion; thermal stresses, compound bars. Stresses in pressure vessels, energy; shear force and bending moment in mechanical components; concept of shear stress in mechanical components, effect of combined bending and torsion; Principal stresses and strains, Mohr's circle; stresses in thin and thick cylinders.This course is to teach students the basic theory and application of the principles of mechanics of materials and to apply this knowledge competently and independently to determine stress, strain and various mechanical properties of materials, and analyze axial, torsional, bending, combined loads of structures.Unit 1: Stress 1.1 Introduction of deformable body 1.2 Average, normal and shear stress; allowable stressUnit 2: Strain 2.1 Normal strain and shear strain 2.2 Longitudinal and lateral strainUnit 3: Mechanical Properties of Materials 3.1 Tension and compression test 3.2 Stress-strain-diagram 3.3 Stress strain behavior of ductile and brittle materials 3.4 Hooke's law 3.5 Strain energy 3.6 Poisson's ratioUnit 4: Axial Loads 4.1 Saint-Venantt's principle 4.2 Elastic deformation of axially loaded members 4.3 Principle of superposition, statically indeterminate axially loaded member 4.4 Thermal stress, stress concentrations.Unit 5: Torsion 5.1 Torsional deformation of a circular shaft 5.2 The torsion formula, power transmission,Unit 6: Bending 6.1 Shear and moment diagrams 6.2 Bending deformation of straight members, Flexure formula.Unit 7: Transverse Shear 7.1 Shear in straight members 7.2 The shear formula 7.3 Shear stresses in beamsUnit 8: Combined loadings 8.1 Thin-walled pressure vessels 8.2 State of stress caused by combined loading.Unit 9: Stress transformation 9.1 Plane stress transformation and its general equation 9.2 Principal stress maximum in-plane shear stress 9.3 Mohr's circle-plane stress

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