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相关概念视频

Shear on the Horizontal Face of a Beam Element01:16

Shear on the Horizontal Face of a Beam Element

154
To understand shear on the flat side of a prismatic beam element, consider the vertical and horizontal shearing forces, and the normal forces, acting on the element. The element's upper (U) and lower (L) sections, which are divided by the beam's neutral axis, are examined. The equilibrium of these forces is determined by applying the equilibrium equation, which helps identify the horizontal shearing force. This force is directly related to the bending moments and the cross-section's...
154
Deflection of a Beam01:19

Deflection of a Beam

235
Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation.
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
235
Design of Prismatic Beams for Bending01:23

Design of Prismatic Beams for Bending

213
The design of prismatic beams, structural elements with a uniform cross-section, focuses on ensuring safety and structural integrity under load. The design process begins by determining the allowable stress, either from material properties tables, or by dividing the material's ultimate strength by a safety factor. This safety factor is essential for accommodating uncertainties, and varies depending on the material—timber, steel, or concrete—with each having unique strength and...
213
Angle of Twist: Problem Solving01:13

Angle of Twist: Problem Solving

262
An electric motor applies a torque of 700 N·m to an aluminum shaft, triggering a stable rotation. Two pulleys, B and C, are subjected to torques of 300 N·m and 400 N·m, respectively. The modulus of rigidity is provided as 25 GPa. With the knowledge of the length and diameter of each segment, the twist angle between the two pulleys can be computed. First, a section cut is made between pulleys B and C, and the cut cross-section is analyzed using a free-body diagram. Given that the...
262
Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

112
Analyzing a supported beam under unsymmetrical loadings is essential in structural engineering to understand how beams respond to varied force distributions. This analysis involves calculating the deflection and identifying points where the slope of the beam is zero, which are crucial for ensuring structural stability and functionality.
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...
112
Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

182
The moment-area method is an analytical tool used in structural engineering to determine the slope and deflection of beams under various loads. Consider a cantilever with a concentrated load and moment at the free end. The first step is constructing a free-body diagram to calculate the reactions at the fixed end. Next, the bending moment diagram is plotted to visualize how the bending moment varies along the beam's length, focusing on points where the bending moment equals zero.
The M/EI...
182

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旋转式风车阵列光束,具有可调的翼角.

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    此摘要是机器生成的。

    研究人员开发了一种调整风车梁翼角度的方法,使光学应用实现自旋. 这种技术为光学剪切,操纵和成像提供了精确的控制.

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    科学领域:

    • 光学和光子学 在光学和光子学.
    • 梁传播 梁传播
    • 旋转束操纵 旋转束操纵

    背景情况:

    • 风车光束是一类具有独特传播特性的光学光束.
    • 控制像翼角这样的光束属性对于先进的光学应用至关重要.
    • 现有的光束控制方法可能缺乏调整特定参数的灵活性.

    研究的目的:

    • 引入一种用于调整风车梁翼角的新方法.
    • 为了研究这些调整束在自由空间传播期间的自旋特性.
    • 探索这些光束在光学技术中的潜在应用.

    主要方法:

    • 通过调整相位参数来产生不同翼角的部门强度.
    • 在拉伸旋阶段使用圆操作来获得所需的光束属性.
    • 设计阵列风车梁,根据圆性可调节的翼角.
    • 通过模拟和实验分析翅膀角度和自旋转特征的演变.

    主要成果:

    • 成功生成了具有可调节翼角的风车梁.
    • 对生成的光束在自由空间传播中观察到的自旋特性.
    • 证明光束翼角度可以通过圆性来控制.
    • 实验结果与模拟结果非常相匹配.

    结论:

    • 拟议的方法有效地允许调整风车梁翼角.
    • 可调节的风车梁表现出可控制的自旋转特性.
    • 这种技术有望用于光学剪切,操纵和成像方面的应用.