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.

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

장에서 7:

article

Now Playing

7.4 : Internal Loadings in Structural Members: Problem Solving

Internal Forces

1.1K Views

article

7.1 : 서명 규약

Internal Forces

1.6K Views

article

7.2 : 법선 및 전단력

Internal Forces

1.7K Views

article

7.3 : 굽힘 및 비틀림 모멘트

Internal Forces

3.0K Views

article

7.5 :

Internal Forces

1.1K Views

article

7.6 : 전단 다이어그램

Internal Forces

508 Views

article

7.7 : 굽힘 모멘트 다이어그램

Internal Forces

757 Views

article

7.8 : 분산 하중과 전단의 관계

Internal Forces

427 Views

article

7.9 : 전단 모멘트와 굽힘 모멘트의 관계

Internal Forces

731 Views

article

7.10 : Shear and Bending Moment Diagram: 문제 해결

Internal Forces

1.1K Views

article

7.11 : 집중 하중을 받는 케이블

Internal Forces

684 Views

article

7.12 : 분산 부하가 가해지는 케이블

Internal Forces

537 Views

article

7.13 : 자체 무게에 영향을 받는 케이블

Internal Forces

333 Views

article

7.14 : 케이블: 문제 해결

Internal Forces

272 Views

JoVE Logo

개인 정보 보호

이용 약관

정책

연구

교육

JoVE 소개

Copyright © 2025 MyJoVE Corporation. 판권 소유