サインイン

When designing or analyzing a structural member, it is important to consider the internal loadings developed within the member. These internal loadings include normal force, shear force, and bending moment. Engineers can ensure that the structural member can support the applied external forces by calculating these internal loadings.

To illustrate this, let's consider a beam OC of 5 kN, inclined at an angle of 53.13° with the horizontal and supported at both ends. Determine the internal loadings at point A.

Equation 1

For this, first, we need to calculate the reaction force at point C. We can do this by using the moment equation about point O and substituting the values.

Equation 1

This gives us the necessary information to determine the reaction force at point C in the horizontal direction, which is 1.87 kN.

Next, the weight of the beam, which is assumed to be acting at the center, is resolved into its components. Once we have calculated the reaction force at point C and resolved the weight of the beam, we can move on to determining the internal loadings at point A.

To accomplish this, consider an imaginary line passing through point A, dividing the beam into two sections. Then, a free-body diagram of the segment with the minimum unknown forces is drawn. By recalling the equilibrium equation and substituting the values of forces along the horizontal direction, the normal force in the section is obtained to be -5.12 kN. The negative sign indicates that the normal force on the cross-section is opposite to the direction assumed.

Similarly, by using the equilibrium equation and substituting the values of the vertical forces, we can determine the shear force in the section, which is 1.5 kN. Finally, using the moment equation, we can determine the magnitude of the moment at point A, which is obtained to be 8.94 kNᐧm.

By following these steps, the internal loadings at point A of the structural member can be determined. This problem-solving process is crucial for ensuring structural members can withstand the forces they are designed to support.

タグ

Internal LoadingsStructural MemberNormal ForceShear ForceBending MomentReaction ForceEquilibrium EquationFree body DiagramProblem solving ProcessStructural AnalysisBeam DesignApplied External Forces

章から 7:

article

Now Playing

7.4 : Internal Loadings in Structural Members: Problem Solving

内部の力

1.2K 閲覧数

article

7.1 : サインコンベンション

内部の力

1.8K 閲覧数

article

7.2 : 法線力とせん断力

内部の力

1.9K 閲覧数

article

7.3 : 曲げとねじりモーメント

内部の力

3.3K 閲覧数

article

7.5 :

内部の力

1.3K 閲覧数

article

7.6 : せん断ダイアグラム

内部の力

667 閲覧数

article

7.7 : 曲げモーメント図

内部の力

879 閲覧数

article

7.8 : 分布荷重とせん断の関係

内部の力

556 閲覧数

article

7.9 : せん断モーメントと曲げモーメントの関係

内部の力

874 閲覧数

article

7.10 : せん断モーメントと曲げモーメント図:問題解決

内部の力

1.2K 閲覧数

article

7.11 : 集中負荷を受けるケーブル

内部の力

736 閲覧数

article

7.12 : 分散負荷を受けるケーブル

内部の力

585 閲覧数

article

7.13 : ケーブルは自重で駆動

内部の力

377 閲覧数

article

7.14 : ケーブル:問題解決

内部の力

289 閲覧数

JoVE Logo

個人情報保護方針

利用規約

一般データ保護規則

研究

教育

JoVEについて

Copyright © 2023 MyJoVE Corporation. All rights reserved