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# 物理代考|理论力学代考THEORETICAL MECHANICS代考|PHYS310 Fundamentals of Statics

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## 物理代考|理论力学代考THEORETICAL MECHANICS代考|Force

Force is the mechanical integration of different objects, which will cause the variation of motion state and deformation of the objects. The first influence is the so-called external effect and the second is the internal effect. However, the main object in this course is the rigid body, which is assumed to never deform throughout this textbook. In other words, our goal is only to examine the equilibrium and motion laws for rigid bodies.

In engineering, we often name force as load, such as wind load, snow load, rain load, seismic or earthquake load, and electromagnetic load. The normally seen forces can be divided into two groups, i.e., the concentrated force and the distributed force. As shown in Fig. 2.1, a concentrated force is modeled as being acted at only one point, and a distributed force is abstracted as being applied on an area or a length span of the object. In the real world, there are no concentrated forces, and “concentrated force” is only a perfect model. When the action area is small enough, such as a needle penetrating into the skin can be considered as a concentrated force. As a consequence, the unit of the concentrated force is $\mathrm{N}$ or $\mathrm{kN}$, and that of the distributed force is $\mathrm{N} / \mathrm{m}$ or $\mathrm{kN} / \mathrm{m}$ (force per unit length). Notice that $\boldsymbol{P}$ is a vector and $q(x)$ is a scalar in Fig. 2.1, for $q(x)$ denotes the line density of the load.

As is well known, there are three essential elements of the force, namely, magnitude, direction, and point of action. A force $\boldsymbol{F}$ can be expressed as $\boldsymbol{F}=\boldsymbol{F} \boldsymbol{n}$, where $F$ is the magnitude of the force and $\boldsymbol{n}$ is the unit vector. We then have
$$F=|\boldsymbol{F}| .$$

## 物理代考|理论力学代考THEORETICAL MECHANICS代考|Axioms in Statics

Based upon a lot of observations and practices, scientists and engineers have concluded several axioms in Statics. They have already been proved to be true in practice, and there is no need to prove them from the mathematical viewpoint. We only master the conclusions and don’t deal with the details.
Axiom 1 Two forces in equilibrium axiom
If two forces acting on a rigid body are in equilibrium, they must have the same magnitude, opposite directions, and they are along the same action of line. Otherwise, the rigid body cannot be balanced. In this case, the rigid body can be named as a two-force member or two-force bar, as shown in Fig. 2.5. The key point is that there are only two points on the rigid body enduring forces, and the final resultant forces at these two points have the above relations. We always remember that two points determine one line, and the two forces must be collinear.
The relation of the two forces in Fig. $2.5$ is
\begin{aligned} &\boldsymbol{F}=-\boldsymbol{F}^{\prime}, \ &F=F^{\prime} \end{aligned}

## 物理代考|理论力学代考THEORETICAL MECHANICS代考|Force

$$F=|\boldsymbol{F}| .$$

## 物理代考|理论力学代考THEORETICAL MECHANICS代考|Axioms in Statics

$$\boldsymbol{F}=-\boldsymbol{F}^{\prime}, \quad F=F^{\prime}$$

## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。